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An unquinquagintillion is equal to 10156 in America, or 10306 in France and Germany by Conway-Wechsler system.[1][2][3][4]

Sbiis Saibian says that Jonathan Bowers coined unquinquagintillion for this number.[5]

In the long scale which is commonly used in France and Germany, 10156 is called sesvigintillion.

Decimal expansion[]

In short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations[]

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{156}\)
Arrow notation \(10\uparrow156\)
Steinhaus-Moser Notation 81[3] 82[3]
Copy notation 9[156] 1[157]
Chained arrow notation \(10→156\)
Taro's multivariable Ackermann function A(3,515) A(3,516)
Pound-Star Notation #*((1063))*8 #*((1064))*8
BEAF {10,156}
Hyper-E notation E156
Bashicu matrix system (0)(0)(0)(0)(0)[74989] (0)(0)(0)(0)(0)[74990]
Bird's array notation {10,156}
Hyperfactorial array notation 99! 100!
Strong array notation s(10,156)
Fast-growing hierarchy \(f_2(509)\) \(f_2(510)\)
Hardy hierarchy \(H_{\omega^2}(509)\) \(H_{\omega^2}(510)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega5+6}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{306}\)
Arrow notation \(10\uparrow306\)
Steinhaus-Moser Notation 142[3] 143[3]
Copy notation 9[306] 1[307]
Taro's multivariable Ackermann function A(3,1013) A(3,1014)
Pound-Star Notation #*((437))*11 #*((438))*11
BEAF {10,306}
Hyper-E notation E306
Bashicu matrix system (0)(0)(0)(0)(0)(0)[60429] (0)(0)(0)(0)(0)(0)[60430]
Hyperfactorial array notation 169! 170!
Fast-growing hierarchy \(f_2(1\,006)\) \(f_2(1\,007)\)
Hardy hierarchy \(H_{\omega^2}(1\,006)\) \(H_{\omega^2}(1\,007)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23+6}}(10)\)

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. The Conway-Wechsler System
  3. Extensions to the -illions I: Henkle, Conway, and Rowlett
  4. Fish. Conway's zillion numbers, July 25, 2021
  5. Saibian, Sbiis. 2.4.8 Bowers' -illions - Large Numbers. Retrieved 2021-08-01.

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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