PREVIOUS - 4 - Grangol regiment

GREAGOL REGIMENT

Category 3

Regiment block 3

Members: 159 (76 original + 83 new) [the first regiment ever with more extensions than the originals]

(1266 - 1424)

[Pentation to hexation]

Level 1 | Stage 2-2

Stage 2-2 ~ The numbers at this point are as large as pentational level.

If you thought those numbers were crazy, check out what comes next. First I'll start with a new number, which I'll call a "greagol" (short for "great googol"). By definition:

(1266) greagol ☆★✪ = E100#100#100

The greagol is comparable to and slightly larger than a gaggol.

Let's pause for a moment to understand how large a greagol is.

E100#100#100 = E100#(E100#100#99) = E100#(E100#(E100#100#98)) = ... = E100#(E100#(E100#( ... ... (E100#(E100#100)) ... ... )) (w/100 "E100#"s)

The innermost E100#100 is a grangol, and is the first step. E100#(E100#100) is a grangoldex and is the second step. E100#(E100#(E100#100)) is a grangoldudex and is the third step. A greagol is the 100th step of the grangol series!

Here is a visual representation of a greagol:

Next we come up with a new suffix, the "-threx", to have as many levels of power towers as the previous number. Thus:

(1267) greagolthrex ☆★ = E100#100#100#2 = E100#100#(E100#100#100) = E100#100#greagol

(1268) greagolduthrex ☆★ = E100#100#100#3 = E100#100#(E100#100#100#2)
= E100#100#(E100#100#(E100#100)) = E100#100#greagolthrex

(1269) greagoltrithrex ☆ = E100#100#100#4

(1270) greagolquadrithrex = E100#100#100#5

(1271) greagolquintithrex = E100#100#100#6

(1272) greagolsextithrex = E100#100#100#7

(1273) greagolseptithrex = E100#100#100#8

(1274) greagoloctithrex = E100#100#100#9

(1275) greagolnonithrex = E100#100#100#10

(1276) greagoldecithrex = E100#100#100#11

...

(1277) greagolvigintithrex = E100#100#100#21

(1278) greagolcentithrex = E100#100#100#101

(1279) greagolmillithrex = E100#100#100#1001

(1280) greagolmilli-millithrex ✡ = E100#100#100#1,000,001

Before introducing argument modifiers, let's refresh on the new naming system whether you should have n-ary numbers.

Saibian already have:

grangolbit = E[2]100#100

grangolbyte = E[8]100#100

So we have:

(1281) greagolbit E[2]100#100#100

(also called (1282) binary-greagol)

(1283) greagolbyte = E[8]100#100#100

(also called (1284) octal-greagol)

(1285) ternary-greagol = E[3]100#100#100

(1286) quaternary-greagol = E[4]100#100#100

(1285) quinary-greagol = E[5]100#100#100

(1286) senary-greagol = E[6]100#100#100

(1287) duodecimal-greagol = E[12]100#100#100

(1288) hexadecimal-greagol = E[16]100#100#100

(1289) vigesimal-greagol = E[20]100#100#100

(1290) sexagesimal-greagol = E[60]100#100#100

Next we can apply -ding, -chime, -bell, -toll, -gong, -bong, -throng, and -gandingan to obtain even more googolism's.

First the greagolding series:

(1291) greagolding = E500#500#500

(1292) greagolthrexiding = E500#500#500#2

(1293) greagolduthrexiding = E500#500#500#3

etc.

The greagolchime series:

(1294) greagolchime = E1000#1000#1000

(1295) greagolthrexichime = E1000#1000#1000#2

(1296) greagolduthrexichime = E1000#1000#1000#3

(1297) greagoltrithrexichime = E1000#1000#1000#4

(1298) greagolquadrithrexichime = E1000#1000#1000#5

(1299) greagolquintithrexichime = E1000#1000#1000#6

etc.

The greagolbell series:

(1300) greagolbell = E5000#5000#5000

(1301) greagolthrexibell = E5000#5000#5000#2

(1302) greagolduthrexibell = E5000#5000#5000#3

etc.

The greagoltoll series:

(1303) greagoltoll = E10,000#10,000#10,000

(1304) greagolthrexitoll = E10,000#10,000#10,000#2

(1305) greagolduthrexitoll = E10,000#10,000#10,000#3

(1306) greagoltrithrexitoll = E10,000#10,000#10,000#4

(1307) greagolquadrithrexitoll = E10,000#10,000#10,000#5

(1308) greagolquintithrexitoll = E10,000#10,000#10,000#6

etc.

The greagolgong series:

(1309) greagolgong ☆ = E100,000#100,000#100,000

(1310) greagolthrexigong = E100,000#100,000#100,000#2

(1311) greagolduthrexigong = E100,000#100,000#100,000#3

(1312) greagoltrithrexigong = E100,000#100,000#100,000#4

(1313) greagolquadrithrexigong = E100,000#100,000#100,000#5

(1314) greagolquintithrexigong = E100,000#100,000#100,000#6

(1315) greagolsextithrexigong = E100,000#100,000#100,000#7

(1316) greagolseptithrexigong = E100,000#100,000#100,000#8

(1317) greagoloctithrexigong = E100,000#100,000#100,000#9

(1318) greagolnonithrexigong = E100,000#100,000#100,000#10

(1319) greagoldecithrexigong = E100,000#100,000#100,000#11

etc.

The greagolbong series:

(1320) greagolbong = E100,000,000#100,000,000#100,000,000

(1321) greagolthrexibong = E100,000,000#100,000,000#100,000,000#2

(1322) greagolduthrexibong = E100,000,000#100,000,000#100,000,000#3

etc.

The greagolthrong series:

(1323) greagolthrong = E100,000,000,000#100,000,000,000#100,000,000,000

(1324) greagolthrexithrong = E100,000,000,000#100,000,000,000#100,000,000,000#2

(1325) greagolduthrexithrong = E100,000,000,000#100,000,000,000#100,000,000,000#3

And finally, the greagolgandingan series:

(1326) greagolgandingan = E100,000,000,000,000#100,000,000,000,000#100,000,000,000,000

(1327) greagolthrexigandingan = E100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#2

(1328) greagolduthrexigandingan = E100,000,000,000,000#100,000,000,000,000#100,000,000,000,000#3

We can further combine Bowers' gaggol (E1#1#100), with our various suffixes to form:

(1329) gaggolding = E1#1#500

(1330) gaggolchime = E1#1#1000

(1331) gaggolbell = E1#1#5000

(1332) gaggoltoll = E1#1#10,000

(1333) gaggolgong = E1#1#100,000

(1334) gaggolbong = E1#1#100,000,000

(1335) gaggolthrong = E1#1#100,000,000,000

(1336) gaggolgandingan = E1#1#100,000,000,000,000

We can also have -speck, -crumb, -chunk, -bunch, -crowd, -swarm of the respective numbers like:

(1337) greagolspeck = E90#90#90

(1338) greagolcrumb = E95#95#95

(1339) greagolchunk = E99#99#99

(1340) greagolbunch = E101#101#101

(1341) greagolcrowd = E105#105#105

(1342) greagolswarm = E110#110#110

In addition to all this, we may also create even more in-between values by trying different combinations of the -plex, -dex, and -threx suffixes with previously introduced numbers.

(1343) googolthrex = E100#1#1#2 = E100#1#(E100) = E100#1#googol

(1344) googolplexithrex = E100#2#1#2 = E100#2#(EE100) = E100#2#googolplex

(1345) googolduplexithrex = E100#3#1#2 = E100#2#googolduplex

(1346) googoldexithrex = E100#1#2#2 = E100#1#(E100#1#2)

etc.

(1347) greagolplex = E(E100#100#100)

(1348) greagoldex = E100#(E100#100#100) = E100#100#101

These numbers are between a greagol and a greagolthrex:

(1349) grangolthrex = E100#100#1#2 = E100#100#grangol

(1350) grangoldexithrex = E100#100#2#2 = E100#100#grangoldex

(1351) grangoldudexithrex = E100#100#3#2 = E100#100#grangoldudex

(1352) grangoltridexithrex = E100#100#4#2

etc.

These numbers are between a greagolthrex and a greagolduthrex:

(1353) grangolduthrex = E100#100#1#3 = E100#100#grangol#2

(1354) grangoldexiduthrex = E100#100#2#3 = E100#100#grangoldex#2

(1355) grangoldudexiduthrex = E100#100#3#3 = E100#100#grangoldudex#2

etc.

These numbers are between a greagolduthrex and a greagoltrithrex:

(1356) grangoltrithrex = E100#100#1#4 = E100#100#grangol#3

(1357) grangoldexitrithrex = E100#100#2#4 = E100#100#grangoldex#3

(1358) grangoldudexitrithrex = E100#100#3#4 = E100#100#grangoldudex#3

etc.

These numbers are between greagoltrithrex and a greagolquadrithrex:

(1359) grangolquadrithrex = E100#100#1#5 = E100#100#grangol#4

(1360) grangoldexiquadrithrex = E100#100#2#5 = E100#100#grangoldex#4

(1361) grangoldudexiquadrithrex = E100#100#3#5 = E100#100#grangoldudex#4

etc.

These numbers are between greagolquadrithrex and greagolquintithrex:

(1362) grangolquintithrex = E100#100#1#6 = E100#100#grangol#5

(1363) grangoldexiquintithrex = E100#100#2#6 = E100#100#grangoldex#5

(1364) grangoldudexiquintithrex = E100#100#3#6 = E100#100#grangoldudex#5

etc.

and so on...

Next we can form an extension of the centillion:

(1365) ecetonthrex ☆ = E303#1#1#2 = E303#1#(E303) = E303#1#centillion

(1367) ecetonduthrex ☆ = E303#1#1#3 = E303#1#ecetonthrex

(1368) ecetontrithrex = E303#1#1#4

(1369) ecetonquadrithrex = E303#1#1#5

(1370) ecetonquintithrex = E303#1#1#6

etc.

With more complex number construction:

(1371) ecetonplexithrex = E303#2#1#2

(1372) ecetondexithrex = E303#1#2#2

etc.

(1373) eceto-greagol = E303#303#303

(1374) eceto-grangolthrex = E303#303#1#2

(1375) eceto-grangoldexithrex = E303#303#2#2

(1376) eceto-grangoldudexithrex = E303#303#3#2

etc.

(1377) eceto-greagolthrex = E303#303#303#2

(1378) eceto-grangolduthrex = E303#303#1#3

etc.

(1379) eceto-greagolduthrex = E303#303#303#3

(1380) eceto-greagoltrithrex = E303#303#303#4

(1381) eceto-greagolquadrithrex = E303#303#303#5

(1382) eceto-greagolquintithrex = E303#303#303#6

Lastly we can give name to some common penta-towers:

(1383) tria-petaxis ⍟☆★ = E1#1#1#3 = E1#1#deka-taxis = 10^^^^3 = 10^^^10^^^10

(formerly tria-petaksys)

(1384) tetra-petaxis ⍟☆★ = E1#1#1#4 = E1#1#tria-petaxis = 10^^^^4 = 10^^^10^^^10^^^10

(formerly tetra-petaksys)

(1385) penta-petaxis ⍟☆ = E1#1#1#5 = E1#1#tetra-petaxis = 10^^^^5

(formerly penta-petaksys)

(1386) hexa-petaxis ⍟☆ = E1#1#1#6 = E1#1#penta-petaxis = 10^^^^6

(formerly hexa-petaksys)

(1387) hepta-petaxis ⍟☆ = E1#1#1#7 = E1#1#hexa-petaxis = 10^^^^7

(formerly hepta-petaksys)

(1388) octa-petaxis ⍟☆ = E1#1#1#8 = E1#1#hepta-petaxis = 10^^^^8

(formerly octa-petaksys)

(1389) enna-petaxis ⍟☆ = E1#1#1#9 = E1#1#octa-petaxis = 10^^^^9

(formerly enna-petaksys)

(1390) deka-petaxis ⍟☆★ = E1#1#1#10 = E1#1#enna-petaxis = 10^^^^10

(formerly deka-petaksys)

...

(1391) icosa-petaxis = E1#1#1#20 = 10^^^^20

(1392) trianta-petaxis = E1#1#1#30 = 10^^^^30

(1394) teranta-petaxis = E1#1#1#40 = 10^^^^40

(1395) penanta-petaxis = E1#1#1#50 = 10^^^^50

(1396) exata-petaxis = E1#1#1#60 = 10^^^^60

(1397) eptata-petaxis = E1#1#1#70 = 10^^^^70

(1398) ogdata-petaxis = E1#1#1#80 = 10^^^^80

(1399) entata-petaxis = E1#1#1#90 = 10^^^^90

...

(1400) hecta-petaxis ⍟☆★ = E1#1#1#100 = 10^^^^100

(formerly hecta-petaksys)

A hecta-petaxis is equivalent to 10^^^^100, which is known as a "geegol" in Bowers system. Furthermore ...

(1400) chilia-petaxis = E1#1#1#1000

(1401) myria-petaxis = E1#1#1#10,000

(1402) hecta-chilia-petaxis = E1#1#1#100,000

(1403) chilia-chilia-petaxis = E1#1#1#1,000,000

(1404) chilia-myria-petaxis = E1#1#1#10,000,000

(1405) myria-myria-petaxis = E1#1#1#100,000,000

(also called (1406) octadia-petaxis)

(1407) sedeniadia-petaxis = E1#1#1#(10^16) = E1#1#1#10,000,000,000,000,000

...

(1408) dialogia-petaxis = E1#1#1#10,000,000,000

(1409) googolia-petaxis = E1#1#1#(E100)

(1410) trialogia-petaxis = E1#1#1#(E1#3) = 10^^^^10^^3

(1411) googolplexia-petaxis = E1#1#1#(EE100)

(1412) tetralogia-petaxis = E1#1#1#(E1#4) = 10^^^^10^^4

(1413) dekalogia-petaxis = E1#1#1#(E1#10) = 10^^^^10^^10

(1414) hectalogia-petaxis = E1#1#1#(E1#100) = 10^^^^10^^100

(1415) tria-taxia-petaxis = E1#1#1#(E1#1#3) = 10^^^^10^^^3

(1416) tetra-taxia-petaxis = E1#1#1#(E1#1#4) = 10^^^^10^^^4

(1417) deka-taxia-petaxis = E1#1#1#(E1#1#10) = 10^^^^10^^^10

(1418) hecta-taxia-petaxis = E1#1#1#(E1#1#100) = 10^^^^10^^^100

(1419) tria-petaxia-petaxis = E1#1#1#(E1#1#1#3) = E1#1#1#3#2 = 10^^^^10^^^^3

(1420) tetra-petaxia-petaxis = E1#1#1#(E1#1#1#4) = E1#1#1#4#2 = 10^^^^10^^^^4

(1421) deka-petaxia-petaxis = E1#1#1#(E1#1#1#10) = E1#1#1#10#2 = E1#1#1#1#3 = 10^^^^10^^^^10 = 10^^^^^3

(1422) hecta-petaxia-petaxis = E1#1#1#(E1#1#1#100) = E1#1#1#100#2 = 10^^^^10^^^^100

(1423) deka-petaxia-petaxia-petaxis = E1#1#1#(E1#1#1#(E1#1#1#10)) = E1#1#1#10#3 = E1#1#1#1#4 = 10^^^^10^^^^10^^^^10 = 10^^^^^6

(1424) hecta-petaxia-petaxia-petaxis ✡ = E1#1#1#(E1#1#1#(E1#1#1#100)) = E1#1#1#100#3 = 10^^^^10^^^^10^^^^100

At this point it's impossible for us to fully appreciate the gaps between these enormous numbers. The difference between a grangol and a grangoldex is already staggeringly counter intuitive. It's almost impossible to appreciate the huge gulf that must exist between a greagol and a greagolthrex.

Before getting larger, let's peek into supplementals for the previous regiments.

Guppy regiment supplement

Category 1

Regiment block 4

Members: 154

(1425 - 1578)

[First wayback to the very first regiment]

This is the very first supplemental regiment block ever.

First, we define some -plex numbers based on base googolisms containing size modifiers.

(1425) guppyspeckplex = E10#2 = 10^10^10 = 10^10,000,000,000

(1426) guppycrumbplex = E15#2 = 10^10^15

(1427) guppychunkplex = E19#2 = 10^10^19

(1428) minnowspeckplex = E15#2 = 10^10^15

(1429) minnowcrumbplex = E20#2 = 10^10^20

(1430) minnowchunkplex = E24#2 = 10^10^24

(1431) gobyspeckplex = E25#2 = 10^10^25

(1432) gobycrumbplex = E30#2 = 10^10^30

(1433) gobychunkplex = E34#2 = 10^10^34

(1434) gogolchunkplex = E49#2 = 10^10^49

(1435) ogolspeckplex = E70#2 = 10^10^70

(1436) ogolcrumbplex = E75#2 = 10^10^75

(1437) ogolchunkplex = E79#2 = 10^10^79

(1438) googolbunchplex = E101#2 = 10^10^101

(1439) googolcrowdplex = E105#2 = 10^10^105

(1440) googolswarmplex = E110#2 = 10^10^110

(1441) ecetonspeckplex = E293#2 = 10^10^293

(1442) ecetoncrumbplex = E298#2 = 10^10^298

(1443) ecetonchunkplex = E302#2 = 10^10^302

(1444) ecetonbunchplex = E304#2 = 10^10^304

(1445) ecetoncrowdplex = E308#2 = 10^10^308

(1446) ecetonswarmplex = E313#2 = 10^10^313

On the other hand...

(1447) googolplexispeck = E(E100-10) = E(googol-10)

(1448) googolplexicrumb = E(E100-5)

(1449) googolplexichunk = E(E100-1)

(1450) googolplexibunch = E(E100+1)

(1451) googolplexicrowd = E(E100+5)

(1452) googolplexiswarm = E(E100+10)

Let's peek into n-ary system that containing -plex, say,

googolplexibit = 2^2^100 = 2^1 267 650 600 228 229 401 496 703 205 376

We call an alternative name (1453) binary-googolplex

and...

googolplexibyte = 8^8^100

We call an alternative name (1454) octal-googolplex

So we also have:

(1455) ternary-googolplex = 3^3^100

(1456) quaternary-googolplex = 4^4^100

(1457) quinary-googolplex = 5^5^100

(1458) senary-googolplex = 6^6^100

(1459) duodecimal-googolplex = 12^12^100

(1460) hexadecimal-googolplex = 16^16^100

(1461) vigesimal-googolplex = 20^20^100

(1462) sexagesimal-googolplex = 60^60^100

We can also have a binary version of -logues as follows:

(1463) binary-monologue = 2^1 = 2

(1464) binary-dialogue = 2^2 = 4

(1465) binary-trialogue = 2^1#3 = 2^^3 = 2^2^2 = 2^4 = 16

(1466) binary-tetralogue = 2^1#4 = 2^^4 = 2^2^2^2 = 2^2^4 = 2^16 = 65,536

(1467) binary-pentalogue = 2^1#5 = 2^^5 = 2^65,536 =

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676 278 617 583 772 772 895 892 746 039 403 930 337 271 873 850 536 912 957 126 715 066 896 688 493 880 885 142 943 609 962 012 966 759 079 225 082 275 313 812 849 851 526 902 931 700 263 136 328 942 095 797 577 959 327 635 531 162 066 753 488 651 317 323 872 438 748 063 513 314 512 644 889 967 589 828 812 925 480 076 425 186 586 490 241 111 127 301 357 197 181 381 602 583 178 506 932 244 007 998 656 635 371 544 088 454 866 393 181 708 395 735 780 799 059 730 839 094 881 804 060 935 959 190 907 473 960 904 410 150 516 321 749 681 412 100 765 719 177 483 767 355 751 000 733 616 922 386 537 429 079 457 803 200 042 337 452 807 566 153 042 929 014 495 780 629 634 138 383 551 783 599 764 708 851 349 004 856 973 697 965 238 695 845 994 595 592 090 709 058 956 891 451 141 412 684 505 462 117 945 026 611 750 166 928 260 250 950 770 778 211 950 432 617 383 223 562 437 601 776 799 362 796 099 368 975 191 394 965 033 358 507 155 418 436 456 852 616 674 243 688 920 371 037 495 328 425 927 131 610 537 834 980 740 739 158 633 817 967 658 425 258 036 737 206 469 351 248 652 238 481 341 663 808 061 505 704 829 059 890 696 451 936 440 018 597 120 425 723 007 316 410 009 916 987 524 260 377 362 177 763 430 621 616 744 884 930 810 929 901 009 517 974 541 564 251 204 822 086 714 586 849 255 132 444 266 777 127 863 728 211 331 536 224 301 091 824 391 243 380 214 046 242 223 349 153 559 516 890 816 288 487 989 988 273 630 445 372 432 174 280 215 755 777 967 021 666 317 047 969 728 172 483 392 841 015 642 274 507 271 779 269 399 929 740 308 072 770 395 013 581 545 142 494 049 026 536 105 825 409 373 114 653 104 943 382 484 379 718 606 937 214 444 600 826 798 002 471 229 489 405 761 853 892 203 425 608 302 697 052 876 621 377 373 594 394 224 114 707 074 072 902 725 461 307 358 541 745 691 419 446 487 624 357 682 397 065 703 184 168 467 540 733 466 346 293 673 983 620 004 041 400 714 054 277 632 480 132 742 202 685 393 698 869 787 607 009 590 048 684 650 626 771 363 070 979 821 006 557 285 101 306 601 010 780 633 743 344 773 073 478 653 881 742 681 230 743 766 066 643 312 775 356 466 578 603 715 192 922 768 440 458 273 283 243 808 212 841 218 776 132 042 460 464 900 801 054 731 426 749 260 826 922 155 637 405 486 241 717 031 027 919 996 942 645 620 955 619 816 454 547 662 045 022 411 449 404 749 349 832 206 807 191 352 767 986 747 813 458 203 859 570 413 466 177 937 228 534 940 031 631 599 544 093 684 089 572 533 438 702 986 717 829 770 373 332 806 801 764 639 502 090 023 941 931 499 115 009 105 276 821 119 510 999 063 166 150 311 585 582 835 582 607 179 410 052 528 583 611 369 961 303 442 790 173 811 787 412 061 288 182 062 023 263 849 861 515 656 451 230 047 792 967 563 618 345 768 105 043 341 769 543 067 538 041 113 928 553 792 529 241 347 339 481 050 532 025 708 728 186 307 291 158 911 335 942 014 761 872 664 291 564 036 371 927 602 306 283 840 650 425 441 742 335 464 549 987 055 318 726 887 926 424 102 147 363 698 625 463 747 159 744 354 943 443 899 730 051 742 525 110 877 357 886 390 946 812 096 673 428 152 585 919 924 857 640 488 055 071 329 814 299 359 911 463 239 919 113 959 926 752 576 359 007 446 572 810 191 805 841 807 342 227 734 721 397 723 218 231 771 716 916 400 108 826 112 549 093 361 186 780 575 722 391 018 186 168 549 108 500 885 272 274 374 212 086 524 852 372 456 248 697 662 245 384 819 298 671 129 452 945 515 497 030 585 919 307 198 497 105 414 181 636 968 976 131 126 744 027 009 648 667 545 934 567 059 936 995 464 500 558 921 628 047 976 365 686 133 316 563 907 395 703 272 034 389 175 415 267 500 915 011 198 856 872 708 848 195 531 676 931 681 272 892 143 031 376 818 016 445 477 367 518 353 497 857 924 276 463 354 162 433 601 125 960 252 109 501 612 264 110 346 083 465 648 235 597 934 274 056 868 849 224 458 745 493 776 752 120 324 703 803 035 491 157 544 831 295 275 891 939 893 680 876 327 685 438 769 557 694 881 422 844 311 998 595 700 727 521 393 176 837 831 770 339 130 423 060 958 999 137 314 684 569 010 422 095 161 967 070 506 420 256 733 873 446 115 655 276 175 992 727 151 877 660 010 238 944 760 539 789 516 945 708 802 728 736 225 121 076 224 091 810 066 700 883 474 737 605 156 285 533 943 565 843 756 271 241 244 457 651 663 064 085 939 507 947 550 920 463 932 245 202 535 463 634 444 791 755 661 725 962 187 199 279 186 575 490 857 852 950 012 840 229 035 061 514 937 310 107 009 446 151 011 613 712 423 761 426 722 541 732 055 959 202 782 129 325 725 947 146 417 224 977 321 316 381 845 326 555 279 604 270 541 871 496 236 585 252 458 648 933 254 145 062 642 337 885 651 464 670 604 298 564 781 968 461 593 663 288 954 299 780 722 542 264 790 400 616 019 751 975 007 460 545 150 060 291 806 638 271 497 016 110 987 951 336 633 771 378 434 416 194 053 121 445 291 855 180 136 575 558 667 615 019 373 029 691 932 076 120 009 255 065 081 583 275 508 499 340 768 797 252 369 987 023 567 931 026 804 136 745 718 956 641 431 852 679 054 717 169 962 990 363 015 545 645 090 044 802 789 055 701 968 328 313 630 718 997 699 153 166 679 208 958 768 572 290 600 915 472 919 636 381 673 596 673 959 975 710 326 015 571 920 237 348 580 521 128 117 458 610 065 152 598 883 843 114 511 894 880 552 129 145 775 699 146 577 530 041 384 717 124 577 965 048 175 856 395 072 895 337 539 755 822 087 777 506 072 339 445 587 895 905 719 156 736

It's 19,729 digits in decimal!!! YIKES!!!

(1468) binary-hexalogue = 2^1#6 = 2^^6 = 2^2^65,536

(1469) binary-heptalogue = 2^1#7 = 2^^7 = 2^2^2^65,536

(1470) binary-octalogue = 2^1#8 = 2^^8 = 2^2^2^2^65,536

(1471) binary-ennalogue = 2^1#9 = 2^^9 = 2^2^2^2^2^65,536

(1472) binary-dekalogue = 2^1#10 = 2^^10 = 2^2^2^2^2^2^65,536

(1473) binary-endekalogue = 2^1#11 = 2^^11

(1474) binary-dodekalogue = 2^1#12 = 2^^12

(1475) binary-triadekalogue = 2^1#13 = 2^^13

(1476) binary-tetradekalogue = 2^1#14 = 2^^14

...

(1477) binary-icosalogue = 2^1#20 = 2^^20

...

(1478) binary-hectalogue = 2^1#100 = 2^^100

(1479) binary-chilialogue = 2^1#1000 = 2^^1000

(1480) binary-myrialogue = 2^1#10,000 = 2^^10,000

Now we introduce the new power modifiers, -ring and -clang. Let -ring to be defined as x*500 and -clang to be defined as x*5,000, where x is the argument value.

First, we define googolring and googolclang.

(1481) googolring = 10^50,000

(1482) googolclang = 10^500,000

You can even do with guppy, gogol, ogol, and eceton as:

(1483) guppyring = 10^10,000

(1484) guppyclang = 10^100,000

...

(1485) gogolring = 10^25,000

(1486) gogolclang = 10^250,000

...

(1487) ogolring = 10^40,000

(1488) ogolclang = 10^400,000

...

(1489) ecetonring = 10^151,500

(1490) ecetonclang = 10^1,515,000

and so on.

Now we introduce the new power modifiers, which do exist in the Saibian's original website, but never used in Hyper-E googolisms.

So, we start to introduce the new power modifiers based on Greek numerals! First, we define:

(1491) googoldyadia = (10^100)^2 = 10^(100*2) = 10^200

Moving on...

(1492) googoltriadia = 10^300

(1494) googoltetradia = 10^400

(1495) googolpentadia = 10^500

(1496) googolhexadia = 10^600

(1497) googolheptadia = 10^700

(1498) googoloctadia = 10^800

(1499) googolennadia = 10^900

(1500) googoldekadia = 10^1,000

...

(1501) googolicosadia = 10^2,000

...

(1502) googolpenantadia = 10^5,000

...

(1503) googolhectadia = 10^10,000

(1504) googolchiliadia = 10^100,000

(1505) googolmyriadia = 10^1,000,000

(1506) googolchili-chiliadia = 10^100,000,000

(1507) googoltritichiliadia = 10^100,000,000,000

(1508) googoltetertichiliadia = 10^100,000,000,000,000

Moreover, you can continue to name -logues further using SI prefixes. Say, we have:

chilialogue = E1#1000 = 10^^100

So we have:

(1509) megalogue = E1#1,000,000 = 10^^1,000,000

(1510) gigalogue = E1#1,000,000,000 = 10^^1,000,000,000

(1511) teralogue = E1#(10^12) = 10^^1,000,000,000,000

(1512) petalogue = E1#(10^15)

(1513) exalogue = E1#(10^18)

(1514) zettalogue = E1#(10^21)

(1515) yottalogue = E1#(10^24)

(1516) ronnalogue = E1#(10^27)

*formerly xennalogue

(1517) quettalogue = E1#(10^30)

*formerly dakalogue

After queccalogue following the new SI prefixes proposed in November 2022 with -ronna and -quetta, we can continue further using Bowers' polytopes, inspired by Bowers' -illions. Bowers have:

hendillion = 10^(3*10^(3*10^33)+3) = 11th tier 3 -illion

So we have:

(1518) hendalogue = E1#(10^33)

(1519) dokalogue = E1#(10^36)

(1520) tradakalogue = E1#(10^39)

(1521) tedakalogue = E1#(10^42)

...

(1522) ikalogue = E1#(10^60)

(1523) trakalogue = E1#(10^90)

(1524) tekalogue = E1#(10^120)

...

(1525) hotalogue = E1#(10^300)

(1526) botalogue = E1#(10^600)

(1527) trotalogue = E1#(10^900)

(1528) totalogue = E1#(10^1200)

...

(1529) kalalogue = E1#(10^3000)

(1530) dalalogue = E1#(10^6000)

(1531) tralalogue = E1#(10^9000)

(1532) talalogue = E1#(10^12,000)

...

(1533) dakalalogue = E1#(10^30,000)

(1534) hotalalogue = E1#(10^300,000)

(1535) mejalogue = E1#(10^3,000,000)

...

(1536) gijalogue = E1#(10^3,000,000,000)

(1537) astalogue = E1#(10^(3*10^12))

(1538) lunalogue = E1#(10^(3*10^15))

(1539) fermalogue = E1#(10^(3*10^18))

...

(1540) multalogue = E1#(10^(3*10^42))

We can also have ternary versions of -logue like:

(1541) ternary-monologue = 3^1 = 3

(1542) ternary-dialogue = 3^3 = 27

(1543) ternary-trialogue = 3^1#3 = 3^^3 = 3^3^3 = 3^27 = 7,625,597,484,987

(1544) ternary-tetralogue = 3^1#4 = 3^^4 = 3^3^3^3 = 3^3^27 = 3^7,625,597,484,987

(1545) ternary-pentalogue = 3^1#5 = 3^^5 = 3^3^3^3^3 = 3^3^3^27 = 3^3^7,625,597,484,987

...

(1546) ternary-dekalogue = 3^1#10 = 3^^10

(1547) ternary-hectalogue = 3^1#100 = 3^^100

And quaternary-n-logue...

(1548) quaternary-dialogue = 4^4 = 256

(1549) quaternary-trialogue = 4^4^4 = 4^256 =

13 407 807 929 942 597 099 574 024 998 205 846 127 479 365 820 592 393 377 723 561 443 721 764 030 073 546 976 801 874 298 166 903 427 690 031 858 186 486 050 853 753 882 811 946 569 946 433 649 006 084 096

(1550) quaternary-tetralogue = 4^^4 = 4^4^4^4 = 4^256

With other bases...

(1551) quinary-dialogue = 5^5 = 3,125

(1552) quinary-trialogue = 5^5^5 = 5^3,125 =

1 911 012 597 945 477 520 356 404 559 703 964 599 198 081 048 990 094 337 139 512 789 246 520 530 242 615 803 012 059 386 519 739 850 265 586 440 155 794 462 235 359 212 788 673 806 972 288 410 146 915 986 602 087 961 896 757 195 701 839 281 660 338 047 611 225 975 533 626 101 001 482 651 123 413 147 768 252 411 493 094 447 176 965 282 756 285 196 737 514 395 357 542 479 093 219 206 641 883 011 787 169 122 552 421 070 050 709 064 674 382 870 851 449 950 256 586 194 461 543 183 511 379 849 133 691 779 928 127 433 840 431 549 236 855 526 783 596 374 102 105 331 546 031 353 725 325 748 636 909 159 778 690 328 266 459 182 983 815 230 286 936 572 873 691 422 648 131 291 743 762 136 325 730 321 645 282 979 486 862 576 245 362 218 017 673 224 940 567 642 819 360 078 720 713 837 072 355 305 446 356 153 946 401 185 348 493 792 719 514 594 505 508 232 749 221 605 848 912 910 945 189 959 948 686 199 543 147 666 938 013 037 176 163 592 594 479 746 164 220 050 885 079 469 804 487 133 205 133 160 739 134 230 540 198 872 570 038 329 801 246 050 197 013 467 397 175 909 027 389 493 923 817 315 786 996 845 899 794 781 068 042 822 436 093 783 946 335 265 422 815 704 302 832 442 385 515 082 316 490 967 285 712 171 708 123 232 790 481 817 268 327 510 112 746 782 317 410 985 888 683 708 522 000 711 733 492 253 913 322 300 756 147 180 429 007 527 677 793 352 306 200 618 286 012 455 254 243 061 006 894 805 446 584 704 820 650 982 664 319 360 960 388 736 258 510 747 074 340 636 286 976 576 702 699 258 649 953 557 976 318 173 902 550 891 331 223 294 743 930 343 956 161 328 334 072 831 663 498 258 145 226 862 004 307 799 084 688 103 804 187 368 324 800 903 873 596 212 919 633 602 583 120 781 673 673 742 533 322 879 296 907 205 490 595 621 406 888 825 991 244 581 842 379 597 863 476 484 315 673 760 923 625 090 371 511 798 941 424 262 270 220 066 286 486 867 868 710 182 980 872 802 560 693 101 949 280 830 825 044 198 424 796 792 058 908 817 112 327 192 301 455 582 916 746 795 197 430 548 026 404 646 854 002 733 993 860 798 594 465 961 501 752 586 965 811 447 568 510 041 568 687 730 903 712 482 535 343 839 285 397 598 749 458 497 050 038 225 012 489 284 001 826 590 056 251 286 187 629 938 044 407 340 142 347 062 055 785 305 325 034 918 189 589 707 199 305 662 188 512 963 187 501 743 535 960 282 201 038 211 616 048 545 121 039 313 312 256 332 260 766 436 236 688 296 850 208 839 496 142 830 484 739 113 991 669 622 649 948 563 685 234 712 873 294 796 680 884 509 405 893 951 104 650 944 137 909 502 276 545 653 133 018 670 633 521 323 028 460 519 434 381 399 810 561 400 652 595 300 731 790 772 711 065 783 494 174 642 684 720 956 134 647 327 748 584 238 274 899 668 755 052 504 394 218 232 191 357 223 054 066 715 373 374 248 543 645 663 782 045 701 654 593 218 154 053 548 393 614 250 664 498 585 403 307 466 468 541 890 148 134 347 714 650 315 037 954 175 778 622 811 776 585 876 941 680 908 203 125

(1553) quinary-pentalogue = 5^^5 = 5^5^5^5^5

etc.

(1554) senary-dialogue = 6^6 = 46,656

(1555) senary-trialogue = 6^6^6 = 6^46,656

(1556) senary-hexalogue = 6^^6

etc.

(1557) octal-dialogue = 8^8 = 16,777,216

(1558) octal-trialogue = 8^8^8 = 8^16,777,216

(1559) octal-octalogue = 8^^8

etc.

(1560) duodecimal-dialogue = 12^12 = 8,916,100,448,256

(1561) duodecimal-trialogue = 12^12^12

(1562) duodecimal-dodekalogue = 12^^12

etc.

(1563) hexadecimal-dialogue = 16^16 = 2^64 = 18,446,744,073,709,551,616

(1564) hexadecimal-trialogue = 16^16^16 = 16^2^64 = (2^4)^(2^64) = 2^(4*2^64) = 2^(2^2*2^64) = 2^2^(2+64) = 2^2^66 = 2^73 786 976 294 838 206 464

(1565) hexadecimal-hexadekalogue = 16^^16

etc.

(1566) vigesimal-dialogue = 20^20 = 104 857 600 000 000 000 000 000 000

(1567) vigesimal-trialogue = 20^20^20

(1568) vigesimal-icosalogue = 20^^20

etc.

(1569) sexagesimal-dialogue = 60^60 =

48 873 677 980 689 257 489 322 752 273 774 603 865 660 850 176 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000 000

(1570) sexagesimal-trialogue = 60^60^60

(1571) sexagesimal-exatalogue = 60^^60

etc.

And finally, you can have some Cockburn's prefixes like gar- (n^2), fz- (n^n), and fuga- (n^n^(n-1)) on some numbers like:

(1572) fugadekalogue = (10^^10)^(10^^10)^(10^^10 - 1)

(1573) fugahectalogue = (10^^100)^(10^100)^(10^100 - 1)

...

(1574) fzdialogue = (10^10)^(10^10) = 10^(10*10^10) = 10^10^(1+10) = 10^10^11 = 10^100,000,000,000

(1575) gardialogue = (10^10)^2 = 10^(10*2) = 10^20 = 100,000,000,000,000,000,000

(1576) gargogol = (10^50)^2 = 10^(50*2) = 10^100

A "gargogol" is the same as googol, like guppyding. We can also have:

(1577) garogol = (10^80)^2 = 10^(80*2) = 10^160

And finally,

(1578) fugamilliplexion = (10^1,000,000)^(10^1,000,000)^(10^1,000,000 - 1)

NEXT - 6 - Gigangol - gulgol regiment