This website's bin for everything that doesn't really belong in any of the other pages. This is mostly information about decimal expansions.
Digits of numbers of the form 2^2^2^n
2^2^2^1: 16
2^2^2^2: 65536
2^2^2^3: 115792089237316195423570985008687907853269984665640564039457584007913129639936
2^2^2^4: 2003529930406846464979072351560255750447...822087777506072339445587895905719156736
2^2^2^5: 3103280543863286140299891155863645591032...458793500608595555903271649464691982336
2^2^2^6: 1906974011604473384552241746745187983928...367004310804367570259007866971447361536
2^2^2^7: 1189981168529665653430672381995529171543...514316717645972216153903192091641511936
2^2^2^8: 3792582807782320694050476904264276235956...528072187720249599620404862789391220736
2^2^2^9: 1536561964731566339928128482575903914793...8413308974250268514874383957186718990336
2^2^2^10: 2371040561994104562375062328636850233848...855906109930890845076755382719045697536
2^2^2^11: 8568609189121660139368286094811284636164...796964424244087562860045306914653863936
2^2^2^12: 25544715914625777071970444277721872551...70727790640790737007875816588830595127006761844736
2^2^2^13: 7827493375928893563739628911898409526480941...623682758949098904084309831758297653551179208414880400982186799118458318235251125518336
2^2^2^14: 71035810912718971933577104511653966045...531598942261334791328102606957916313553034667081374691155397993835378305031551532228673536
2^2^2^15: 296343805469339938208302198501372278209...088819077151647175690427027422953748349663221643440144365915101979672859241057453065895936
2^2^2^16: 21200387288082119848851646916622746308356542...8068862693010305614986891826277507437428736 (see below)
2^2^2^17: 752516635974379660902756563468571689...66336
2^2^2^18: 6397275987779421120742557465168749040203100635941......6006776333958301702363593363907879692149568005972358243730611128170913168973889536
2^2^2^19: 7179621256171353003399773850752...863972406525136218731824807936
2^2^2^20: 5837273715628651857688043889982...017324980823507345354560372736
2^2^2^21: 2007584638752938636767243602268055359628...34336
2^2^2^22: 7242961819325296402291443397633181558898...0321988032068350368581717410263162945536
2^2^2^25: 252167754130927678491426566937423290575...08799540079178926703884150910222336
2^2^2^32: 31592126933723384300418482232511064022388...69579936741967543549668478717272631317364736 (over 9.341*101,292,913,985 digits)
Digits of numbers of the form 3^3^3^n
3^3^3^1: 7625597484987
3^3^3^2: 1505416414522092624314329803339865454307...7580454185880097800510818762686617859227 (9392 digits)
3^3^3^3: 1258014290627491317860390698203281215518...4711077047886315075206738945776100739387
3^3^3^4: 1375814715088985140361741916873320070359...336149606154485868489202725649587232027 (211,568,202,446,451,824,857,231,975,744,170,759,598 digits)
3^3^3^5: 1882339809778294946126316980708932772644...560034553185301287622283338381673868987
3^3^3^6: 1601721283704191001337323587400545849776...155495617728099058655559146552392227227
3^3^3^7: 802794079665143739894562475366052915604488928...889566106185392958409068300894631146398356331880180252643842197475387
3^3^3^8: 61255950931072393358372794842283171277401267...34040842522458763937355637479521014706893731185496153641064397942172224027
3^3^3^9: 102407283189398275234312963319530051787059894527477...3811295833893351707423776655910723048491894212709956633607528172987
3^3^3^10: 10899825329758586030146999735567334620656440852222...387085368701117630220087340694037981536896255610069498120913865383235227
3^3^3^11: 2151227223946940326656008355249826753078385907230...532822867868334324668973483208478660257536026737204288936284013201662126772291387
3^3^3^12: 14956837904266414495949185752893839660729460507540...6027
Digits of numbers of the form 2^2^10^n
2^2^10^1: 179,769,313,486,231,590,772,930,519,078,902,473,361,797,697,894,230,657,273,430,081,157,732,675,805,500,963,132,708,477,322,407,536,021,120,113,879,871,393,357,658,789,768,814,416,622,492,847,430,639,474,124,377,767,893,424,865,485,276,302,219,601,246,094,119,453,082,952,085,005,768,838,150,682,342,462,881,473,913,110,540,827,237,163,350,510,684,586,298,239,947,245,938,479,716,304,835,356,329,624,224,137,216
2^2^10^2: 2285367694229513703002900466528149551750428001195519405602...61461219559622698885766668612760064080105153266799355055482488460983335387136
2^2^10^3: 30580755041507252620476990323...6379227136
2^2^10^4: 25513230455356342490256080975654705854...17627136
2^2^10^5: 80058218681534169344818384499782706775...01627136
2^2^10^6: 2746920725895354710051707727934...248217295109310091137841627136
2^2^10^7: 1237104893661637273090559537131...105459376218479654376241627136
2^2^10^8: 3340906623246099758221082764927...767025743810655286760241627136
2^2^10^9: 8757440542467225792810260441674...286685069780411610600241627136 (more than 1.3*10301,029,995 digits)
Largest numbers I have directly computed the leading digits of
2^2^2^32: 3159212693372338430041848223251...8478717272631317364736 (more than 9.34*101,292,913,985 digits)
2^2^10^9: 8757440542467225792810260441674...286685069780411610600241627136
2^10^10^8: 754097288897255461887189833223513286662...022607743740081787109376 (3.0102999*1099,999,999 digits)
3^3^2^3^3: 4784568978097791859623620098016...043385826234968521733413273603 (more than 2.9*1064,038,130 digits)
7139511^^3: 4401449855525698493597151369347...50780581881906086299619180213246191111111 (more than 1.7654*1048,931,842 digits)
11^10^9^8: 2373570079623504840997604286196...000000000000000000000000000001 (more than 1.041*1043,046,721 digits)
5483721^^3: 7376705702967551333731110782548371063194483180434494041276180181629666875739370788582595111964090900...3246889402441210929502218960487548480985938589322712183663177951454634383287274012840092007584474121 (more than 7.0768976*10^36,955,209 digits) (This is a random number I once thought of as an example of a tetrational number with a large base)
2^2^10^8: 3340906623246099758221082764927...767025743810655286760241627136 (more than 1.109*1030,102,999 digits)
5^4^3^2^2^2: 6743792209728377897472502831996...106619977392256259918212890625 (more than 2.072*1025,916,708 digits)
2^5^2^5^2: 6517012846372754558895532603734...530407839804103263499879186432 (more than 9.1021*1023,453,540 digits)
3^3^3^2^2^2: 1457175316642931......450688027 (approximately 10^20,538,505 digits)
564017^^3: 529009380118005726268700018179139...42297259540538589056055130104777777
8^6^4^3^2: 9232422469605114184153372628063...725742874723281756948902445056
2^32000^32000: 1507299410642524809633430776957...893380022607743740081787109376 (1.89633914*10^144,164 digits)
2^3^4^3^2:
3^10^100,000: 2061165000944531211210766463881...000000000000000000000000000001 (4.77121254719662437*10^99,999 digits)
Digits of numbers of the form n^((n+1)^((n+2)^(n+3)))
2^3^4^5: 39098490222...3472100352
3^4^5^6: 174985901692421583079708823768389861168918785738663108187406359022...7528428740389900286277031923265314680838321255432072915571035319828481
4^5^6^7: 3819332715112066366017245380411...106619977392256259918212890624 (4.4337*10^195,666 digits)
5^6^7^8: 4244819613803062949861284519580...106619977392256259918212890625