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An octotrigintillion is equal to \(10^{117}\) in the short scale, or \(10^{228}\) in the long scale by Conway-Wechsler system.[1][2][3][4][5]

In the long scale which is commonly used in France and Germany, \(10^{117}\) is called novemdecilliard.

In Decimal Form

Short Scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Long Scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

Notation Lower bound Upper bound
Scientific notation \(1\times10^{117}\)
Arrow notation \(10\uparrow117\)
Steinhaus-Moser Notation 64[3] 65[3]
Copy notation 9[117] 10[59]
Taro's multivariable Ackermann function A(3,385) A(3,386)
Pound-Star Notation #*(12,12,11,5,2,3,0,3)*8 #*(13,12,11,5,2,3,0,3)*8
BEAF {10,117}
Bird's Array Notation {10,117}
Hyper-E notation E117
Bashicu matrix system (0)(0)(0)(0)(0)[4531] (0)(0)(0)(0)(0)[4532]
Hyperfactorial array notation 79! 80!
Fast-growing hierarchy \(f_2(380)\) \(f_2(381)\)
Hardy hierarchy \(H_{\omega^2}(380)\) \(H_{\omega^2}(381)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega+7}}(10)\)

List of prefixed numbers derived from trigintillion

Name Short scale Long scale
untrigintillion 1096 10186
duotrigintillion 1099 10192
tretrigintillion 10102 10198
quattuortrigintillion 10105 10204
quintrigintillion 10108 10210
sextrigintillion 10111 10216
septentrigintillion 10114 10222
octotrigintillion 10117 10228
novemtrigintillion 10120 10234


Sources

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Steve Olsen, Big-Ass Numbers
  3. The Conway-Wechsler System
  4. Extensions to the -illions I: Henkle, Conway, and Rowlett
  5. Fish. Conway's zillion numbers, July 25, 2021

See also

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 · unviginticent · unsexagintacent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · dumillinonagintanongent · trimill · trimilliduotrigintatrecent · trimillisexoctogintaoctingent · quadrimill · quadrimilliquattuordecicent · quinmill · sexmill · septimill · octimill · nonimill · myr · decimilliquinsexagintasescent · dumyr · unquadragintamilliunquinquagintacent · centimill · micr · nan · pic · femt · att · zept · yoct
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