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A quinquagintillion is equal to 10153 in the short scale, or \(10^{300}\) in the long scale by Conway and Guy's naming system.[1][2][3][4]

Jonathan Bowers coined quinquagintillion for this number.[5]

In the long scale which is commonly used in France and Germany, 10153 is called quinvigintilliard.

Aarex Tiaokhiao calls 10300 millesimal-googol.[6]

Decimal Expansion

Short scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Long scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{153}\)
Arrow notation \(10\uparrow153\)
Steinhaus-Moser Notation 80[3] 81[3]
Copy notation 9[153] 10[77]
Taro's multivariable Ackermann function A(3,505) A(3,506)
Pound-Star Notation #*((670))*8 #*((671))*8
BEAF {10,153}
Hyper-E notation E153
Bashicu matrix system (0)(0)(0)(0)(0)[60429] (0)(0)(0)(0)(0)[60430]
Hyperfactorial array notation 97! 98!
Fast-growing hierarchy \(f_2(499)\) \(f_2(500)\)
Hardy hierarchy \(H_{\omega^2}(499)\) \(H_{\omega^2}(500)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega5+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{300}\)
Arrow notation \(10\uparrow300\)
Steinhaus-Moser Notation 139[3] 140[3]
Copy notation 9[300] 1[301]
Taro's multivariable Ackermann function A(3,993) A(3,994)
Pound-Star Notation #*((226))*11 #*((227))*11
BEAF {10,300}
Hyper-E notation E300
Bashicu matrix system (0)(0)(0)(0)(0)(0)[48696] (0)(0)(0)(0)(0)(0)[48697]
Hyperfactorial array notation 166! 167!
Fast-growing hierarchy \(f_2(986)\) \(f_2(987)\)
Hardy hierarchy \(H_{\omega^2}(986)\) \(H_{\omega^2}(987)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23}}(10)\)

List of prefixed numbers derived from quinquagintillion

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

Sources

  1. Big-Ass Numbers
  2. Conway and Guy. (1995) "The book of Numbers" Copernicus
  3. The Conway-Wechsler System
  4. Conway's zillion numbers. Retrieved 2021-08-01.
  5. Bowers, Jonathan. Illion Numbers. Retrieved 2021-07-28.
  6. Part 1 (LAN) - Aarex Googology[dead link]

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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