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A quinquinquagintillion is equal to 10168 in America, or 10330 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, 10168 is called octovigintillion.

Decimal expansion[]

In short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations[]

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{168}\)
Arrow notation \(10\uparrow168\)
Steinhaus-Moser Notation 86[3] 87[3]
Copy notation 9[168] 1[169]
Taro's multivariable Ackermann function A(3,555) A(3,556)
Pound-Star Notation #*((11))*9 #*((12))*9
BEAF {10,168}
Hyper-E notation E168
Bashicu matrix system (0)(0)(0)(0)(0)(0)[421] (0)(0)(0)(0)(0)(0)[422]
Hyperfactorial array notation 104! 105!
Fast-growing hierarchy \(f_2(548)\) \(f_2(549)\)
Hardy hierarchy \(H_{\omega^2}(548)\) \(H_{\omega^2}(549)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega6+8}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{330}\)
Arrow notation \(10\uparrow330\)
Steinhaus-Moser Notation 151[3] 152[3]
Copy notation 9[330] 1[331]
Taro's multivariable Ackermann function A(3,1093) A(3,1094)
Pound-Star Notation #*((6080))*11 #*((6081))*11
BEAF {10,330}
Hyper-E notation E330
Bashicu matrix system (0)(0)(0)(0)(0)(0)(0)[378] (0)(0)(0)(0)(0)(0)(0)[379]
Hyperfactorial array notation 180! 181!
Fast-growing hierarchy \(f_2(1\,086)\) \(f_2(1\,087)\)
Hardy hierarchy \(H_{\omega^2}(1\,086)\) \(H_{\omega^2}(1\,087)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23+\omega3}}(10)\)

List of prefixed numbers derived from quinquagintillion[]

Name Short scale Long scale
unquinquagintillion 10156 10306
duoquinquagintillion 10159 10312
tresquinquagintillion 10162 10318
quattuorquinquagintillion 10165 10324
quinquinquagintillion 10168 10330
sesquinquagintillion 10171 10336
septenquinquagintillion 10174 10342
octoquinquagintillion 10177 10348
novenquinquagintillion 10180 10354

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 · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · 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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