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An octoquadragintillion is equal to \(10^{147}\) or \(10^{288}\) in France and Germany by Conway-Wechsler system.[1][2][3][4][5]

In the long scale which is commonly used in France and Germany, \(10^{147}\) is called quattuorvigintilliard.

Decimal expansion

In short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{147}\)
Arrow notation \(10\uparrow147\)
Steinhaus-Moser Notation 77[3] 78[3]
Copy notation 9[147] 10[74]
Taro's multivariable Ackermann function A(3,485) A(3,486)
Pound-Star Notation #*(13,12,11,12,5,1,5,6)*10 #*(14,3,9,6,4,0,3,1)*11
BEAF {10,147}
Hyper-E notation E147
Bashicu matrix system (0)(0)(0)(0)(0)[39241] (0)(0)(0)(0)(0)[39242]
Hyperfactorial array notation 94! 95!
Fast-growing hierarchy \(f_2(479)\) \(f_2(480)\)
Hardy hierarchy \(H_{\omega^2}(479)\) \(H_{\omega^2}(480)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega4+7}}(10)\)

For logn scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{288}\)
Arrow notation \(10\uparrow288\)
Steinhaus-Moser Notation 135[3] 136[3]
Copy notation 9[288] 1[289]
Taro's multivariable Ackermann function A(3,953) A(3,954)
Pound-Star Notation #*((60))*11 #*((61))*11
BEAF {10,288}
Hyper-E notation E288
Bashicu matrix system (0)(0)(0)(0)(0)(0)[31622] (0)(0)(0)(0)(0)(0)[31623]
Hyperfactorial array notation 161! 162!
Fast-growing hierarchy \(f_2(946)\) \(f_2(947)\)
Hardy hierarchy \(H_{\omega^2}(946)\) \(H_{\omega^2}(947)\)
Slow-growing hierarchy \(g_{\omega^{\omega^22+\omega8+8}}(10)\)

List of prefixed numbers derived from quadragintillion

Name Short scale Long scale
unquadragintillion 10126 10246
duoquadragintillion 10129 10252
trequadragintillion 10132 10258
quattuorquadragintillion 10135 10264
quinquadragintillion 10138 10270
sexquadragintillion 10141 10276
septenquadragintillion 10144 10282
octoquadragintillion 10147 10288
novemquadragintillion 10150 10294

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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