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An octodecillion or nonilliard[1] is equal to 1057 in America, or 10108 in France and Germany.[2][3]

In the long scale, 1057 is called nonilliard, which is commonly used in France and Germany.

This number is also called enneadekillion in Russ Rowlett's Greek-based naming system.[4]

Decimal Edit

  • 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - short scale
  • 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 - long scale

Examples Edit

  • The Pleiades star cluster may contain roughly 800 octodecillion hydrogen atoms.[5]
  • The prefix tenanina- multiplies by one octodecillion.

Approximations Edit

Notation Lower bound Upper bound
Scientific notation \(1\times10^{57}\)
Arrow notation \(10\uparrow57\)
Steinhaus-Moser Notation 36[3] 37[3]
Copy notation 9[57] 10[29]
Taro's multivariable Ackermann function A(3,186) A(3,187)
Pound-Star Notation #*(0,6,1,6,5)*8 #*(2,0,6,1,0,4)*6
BEAF {10,57}
Hyper-E notation E57
Hyperfactorial array notation 45! 46!
Fast-growing hierarchy \(f_2(181)\) \(f_2(182)\)
Hardy hierarchy \(H_{\omega^2}(181)\) \(H_{\omega^2}(182)\)
Slow-growing hierarchy \(g_{\omega^{\omega5+7}}(10)\)

List of prefixed numbers derived from decillionEdit

Name Short scale Long scale
undecillion 1036 1066
duodecillion 1039 1072
tredecillion 1042 1078
quattuordecillion 1045 1084
quindecillion 1048 1090
sexdecillion 1051 1096
septendecillion 1054 10102
octodecillion 1057 10108
novemdecillion 1060 10114

Sources Edit

  1. https://sites.google.com/site/largenumbers/home/appendix/a/numbers
  2. Octodecillion at Wolfram MathWorld
  3. Illion Numbers by Jonathan Bowers
  4. Names for Large Numbers
  5. Saibian, Sbiis. Larger numbers in science.

See also Edit

Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
40–49: quadragintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
50–59: quinquagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
80–89: octogintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
100–900: centillion · primo-vigesimo-cent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct