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A list of -illion numbers and how they work.
Pre -illions
Individual digits have distinct names:
One: 1
Ten: 10
Hundred: 100
Beyond this digits are sorted into groups of three separated by commas or periods. The first is thousands.
Thousand: 1,000
The -illions come after this. Two systems exist:
Short: Each -illion is a group of three digits. Used in the US and UK.
Long: Each -illion is a group of six digits. Used in the UK (before 1999), France, and Germany. (An -illion's thousands are called -illiards.)
Values for both systems are given.
Tier 1
"Classical" -illions
The familiar -illions. The commonly used -illions.
1 - Million
1,000,000
2 - Billion
1,000,000,000 (short)/1,000,000,000,000 (long)
3 - Trillion
1,000,000,000,000 (10^12)/1,000,000,000,000,000,000 (10^18)
(10^x = 1 followed by x 0s)
Recognized -illions
The -illions not commonly used but recognized by dictionaries.
You might have noticed that -illion 2 starts with Bi- and 3 with Tri-. This is continued past the familiar -illions, with Quadri- for 4, Quint- for 5, etc.
4 - Quadrillion
10^15/10^24
5 - Quintillion
10^18/10^30
6 - Sextillion
10^21/10^36
7 - Septillion
10^24/10^42
8 - Octillion
10^27/10^48
9 - Nonillion
10^30/10^54
10 - Decillion
10^33/10^60
11 - Undecillion
10^36/10^66
12 - Duodecillion
10^39/10^72
13 - Tredecillion
10^42/10^78
14 - Quattourdecillion
10^45/10^84
15 - Quindecillion
10^48/10^90
16 - Sexdecillion
10^51/10^96
At this point, we can describe a Googol (10^100) in long -illions: 10 sexdecilliard.
17 - Septendecillion
10^54/10^102
18 - Octodecillion
10^57/10^108
19 - Novemdecillion
10^60/10^114
20 - Vigintillion
10^63/10^120
Here the dictionaries stop, larger -illions are only recognized by googology scholars, with one exception.
Jonathan Bowers' -illions
These -illions, devised by Jonathan Bowers, are categorized into four tiers.
The basis for this tier is defined in the recognized -illions above.
-illions 11-19 are decillion with a prefix applied to it. These prefixes are applied to vigintillion:
21 - Unvigintillion
10^66/10^126
22 - Duovigintillion
10^69/10^132
23 - Trevigintillion
10^72/10^138
24 - Quattourvigintillion
10^75/10^144
25 - Quinvigintillion
10^78/10^150
26 - Sexvigintillion
10^81/10^156
27 - Septenvigintillion
10^84/10^162
28 - Octovigintillion
10^87/10^168
29 - Novemvigintillion
10^90/10^172
And the rest of the tens -illions:
30 - Trigintillion
10^93/10^180
At this point we can describe a Googol (10^100) in short -illions: 10 duotrigintillion.
40 - Quadragintillion
10^123/10^240
50 - Quinquagintillion
10^153/10^300
60 - Sexagintillion
10^183/10^360
70 - Septuagintillion
10^213/10^420
80 - Octogintillion
10^243/10^480
90 - Nonagintillion
10^273/10^540
Here we reach the first hundred -illion:
100 - Centillion
10^303/10^600
This is the previously mentioned exception, the largest recognized -illion.
After this, we apply the prefixes followed by the tens to Centillion:
105 - Quincentillion
10^318/10^630
110 - Decicentillion
10^333/10^660
120 - Viginticentillion
10^363/10^720
123 - Treviginticentillion
10^378/10^750
130 - Trigintacentillion
10^393/10^780
140 - Quadragintacentillion
10^423/10^840
150 - Quinquagintacentillion
10^453/10^900
160 - Sexagintacentillion
10^483/10^960
At this point we can name a Googolchime (10^1,000) in long -illions: 10 sexsexagintacentilliard.
170 - Septuagintacentillion
10^513/10^1,020
175 - Quinseptuagintacentillion
10^528/10^1,050
180 - Octogintacentillion
10^543/10^1,080
190 - Nonagintacentillion
10^573/10^1,140
and the rest of the hundreds:
200 - Ducentillion
10^603/10^1,200
300 - Trescentillion
10^903/10^1,800
This one's usually called trecentillion, but it would conflict with -illion 103. Trescentillion is usually used for 103, but I see that as making 200 Duocentillion and 102 Ducentillion. Sibiis Sabian uses Centretillion for 103, as well as Centunillion for 101.
Here a Googolchime (10^1,000) can be written in short -illions: 10 Duotrigintatrescentillion.
400 - Quadringentillion
10^1,203/10^2,400
500 - Quingentillion
10^1,503/10^3,000
600 - Sescentillion
10^1,803/10^3,600
700 - Septingentillion
10^2,103/10^4,200
800 - Octigentillion
10^2,403/10^4,800
900 - Nongentillion
10^2,703/10^5,400
Tier 2
Here we reach -illion 1,000 and the start of tier 2.
Note: long form -illion values have not been added here. However, milestones will still be given in both short and long form -illions.
1,000 - Millillion
10^3,003
After this, we repeat the entire pattern from before, appending milli- to it (hyphen included):
1,001 - Milli-untillion
10^3,006
1,005 - Milli-quintillion
10^3,018
1,010 - Milli-decillion
10^3,033
1,100 - Milli-centillion
10^3,303
1,234 - Milli-quattourtrigintaducentillion
10^3,705
1,500 - Milli-quingentillion
10^4,503
1,666 - Milli-sexsexagintasescentillion
10^5,001
Googoltoll (10^10,000) in the long scale: 10 milli-sexsexagintasescentilliard.
1,765 - Milli-quinsexagintaseptingentillion
10^5,298
until we reach
2,000 - Dumillillion
10^6,003
We then repeat the tier 1 pattern again, with dumilli- added to it:
2,250 - Dumilli-quinquagintaducentillion
10^6,753
2,500 - Dumilli-quingentillion
10^7,503
2,750 - Dumilli-quinquagintaseptingentillion
10^8,253
And again with
3,000 - Tremillillion
10^9,003
3,332 - Tremilli-duotrigintatrecentillion
10^9,999
Googoltoll (10^10,000) in the short scale: 10 tremilli-duotrigintatrecentillion.
And so on with the rest of the thousand -illions:
4,000 - Quadrimillillion
10^12,003
5,000 - Quinmillillion
10^15,003
6,000 - Sexmillillion
10^18,003
7,000 - Septimillillion
10^21,003
8,000 - Octimillillion
10^24,003
9,000 - Nonimillillion
10^27,003
Beyond nonimillillion, the tier 1 pattern is used:
10,000 - Decimillillion (also Myrillion, from the Chinese number myriad (1,0000))
10^30,003
12,345 - Duodecimilli-quinquadragintatrecentillion (Myria-dumilli-quinquadragintatrecentillion)
10^37,038
Long scale Googolgong (10^100,000): 10 sexdecimilli-sexsexagintasescentilliard.
20,000 - Vigintimillillion (Dumyrillion)
10^60,003
25,000 - Quinvigintimillillion (Dumyria-quinmillillion)
10^78,003
30,000 - Trigintamillillion (Tremyrillion)
10^90,003
Short scale Googolgong (10^100,000): 10 tretrigintamilli-duotrigintatrecentillion.
40,000 - Quadragintamillillion (Quadrimyrillion)
10^120,003
50,000 - Quinquagintamillillion (Quinmyrillion)
10^150,003
60,000 - Sexagintamillillion (Sexmyrillion)
10^180,003
70,000 - Septuagintamillillion (Septimyrillion)
10^210,003
75,000 - Quinseptuagintamillillion (Septimyria-quinmillillion)
10^225,003
80,000 - Octogintamillillion (Octimyrillion)
10^240,003
90,000 - Nonagintamillillion (Nonimyrillion)
10^270,003
100,000 - Centimillillion (Decimyrillion)
10^300,003
123,456 - Treviginticentimilli-sexquinquagintaquadringentillion (Duodecimyria-tremilli-sexquinquagintaquadringentillion)
10^370,371
200,000 - Ducentimillillion (Vigintimyrillion)
10^600,003
250,000 - Quinquagintaducentimillillion (Quinvigintimyrillion)
10^750,003
300,000 - Trecentimillillion (Trigintimyrillion)
10^900,003
400,000 - Quadringentimillillion (Quadragintamyrillion)
10^1,200,003
500,000 - Quingentimillillion (Quinquagintamyrillion)
10^1,500,003
600,000 - Sescentimillillion (Sexagintamyrillion)
10^1,800,003
700,000 - Septingentimillillion (Septuagintamyrillion)
10^2,100,003
750,000 - Quinquagintaseptingentimillillion (Quinseptuagintamyrillion)
10^2,250,003
800,000 - Octigentimillillion (Octogentamyrillion)
10^2,400,003
900,000 - Nongentimillillion (Nonagintamyrillion)
10^2,700,003
And then, we reach:
1,000,000 - Micrillion (Centimyrillion)
10^3,000,003
The whole pattern from before is repeated, with micro- added:
1,000,001 - Micro-untillion
10^3,000,006
1,234,567 - Micro-quattourtrigintaducentimilli-septensexagintaquingentillion
10^?
The prefixes added before milli for the early thousands are added again for the early millions:
2,000,000 - Dumicrillion
10^6,000,003
2,500,000 - Dumicro-quingentimillillion
10^7,500,003
3,000,000 - Tremicrillion
10^9,000,003
5,000,000 - Quinmicrillion
10^15,000,003
And then the tier 1 pattern is used:
10,000,000 - Decimicrillion
10^30,000,003
12,345,678 - Duodecimicro-quinquadragintaquingentimilli-octoseptuagintasescentillion
10^?
Googolbong (10^100,000,000) in illions:
Short: 10 tretrigintamicro-tretrigintatrecentimilli-duotrigintatrecentillion.
Long: 10 sexdecimicro-sexsexagintasescentimilli-sexsexagintasescentilliard.
100,000,000 - Centimicrillion
10^300,000,003
123,456,789 - Treviginticentimicro-sexquinquagintamilli-novemoctogintaseptingentillion
10^?
And so on with the rest of the SI prefixes:
1,000,000,000 - Nanillion
10^3,000,000,003
1,234,567,890 - Nano-quattourtrigintaducentimicro-septensexagintaquingentimilli-nonagintaoctingentillion
10^?
Googolthrong (10^100,000,000,000) in -illions:
Short: 10 tretrigintanano-tretrigintatrecentimicro-tretrigintatrecentimilli-duotrigintatrecentillion.
Long: 10 sexdecinano-sexsexagintasescentimicro-sexsexagintasescentimilli-sexsexagintasescentilliard.
1,000,000,000,000 - Picillion
10^3,000,000,000,003
10^15 - Femtillion
10^(3×10^15+3)
10^18 - Attillion
10^(3×10^18+3)
10^21 - Zeptillion
10^(3×10^21+3)
10^24 - Yoctillion
10^(3×10^24+3)
These next two are tricky. Bowers originally defined his -illions well before the introduction of ronto- and quecto- in 2022, so he used different names. The old names are often used instead, and both are listed here.
10^27 - Rontillion (Xonillion)
10^(3×10^27+3)
10^30 - Quectillion (Vecillion)
10^(3×10^30+3)
10^33-1 - [Largest -illion using official prefixes]
10^(3×10^33)
Beyond this names based on the power of 1,000 are used. These use Greek terms, unlike tier 1, which uses Latin terms.
For the teens, the old name of quectillion, vecillion, is modified:
1,000^11 (10^33) - Mecillion
10^(3×10^33+3)
1,000^12 (10^36) - Duecillion
10^(3×10^36+3)
1,000^13 (10^39) - Trecillion
10^(3×10^39+3)
1,000^14 (10^42) - Tetrecillion
10^(3×10^42+3)
1,000^15 (10^45) - Pentecillion
10^(3×10^45+3)
1,000^16 (10^48) - Hexecillion
10^(3×10^48+3)
1,000^17 (10^51) - Heptecillion
10^(3×10^51+3)
1,000^18 (10^54) - Octecillion
10^(3×10^54+3)
1,000^19 (10^57) - Ennecillion
10^(3×10^57+3)
Here the next ten is reached:
1,000^20 (10^60) - Icosillion
10^(3×10^60+3)
After here the modified versions of Vec- are appended to Icosillion:
1,000^21 - Meicosillion
1,000^22 - Dueicosillion
1,000^23 - Trioicosillion
(Because Tre- is already the tier 1 multiplier for tier 2 names)
1,000^24 - Tetreicosillion
1,000^25 - Penteicosillion
1,000^26 - Hexeicosillion
1,000^27 - Hepteicosillion
1,000^28 - Octeicosillion
1,000^29 - Enneicosillion
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