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A trequinquagintillion or tresquinquagintillion is equal to 10162 in America, or 10318 in France and Germany by Conway-Wechsler system.[1][2][3][4][5] Tresquinquagintallion is an original name by Conway and trequinquagintallion is a simplified name or Jonathan Bowers system.[6]

In the long scale which is commonly used in France and Germany, 10162 is called septenvigintillion.

Decimal expansion

In short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{162}\)
Arrow notation \(10\uparrow162\)
Steinhaus-Moser Notation 84[3] 85[3]
Copy notation 9[162] 1[163]
Taro's multivariable Ackermann function A(3,535) A(3,536)
Pound-Star Notation #*((4))*9 #*((5))*9
BEAF {10,162}
Hyper-E notation E162
Bashicu matrix system (0)(0)(0)(0)(0)(0)[339] (0)(0)(0)(0)(0)(0)[340]
Hyperfactorial array notation 102! 103!
Fast-growing hierarchy \(f_2(529)\) \(f_2(530)\)
Hardy hierarchy \(H_{\omega^2}(529)\) \(H_{\omega^2}(530)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega6+2}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{318}\)
Arrow notation \(10\uparrow318\)
Steinhaus-Moser Notation 146[3] 147[3]
Copy notation 9[318] 1[319]
Taro's multivariable Ackermann function A(3,1053) A(3,1054)
Pound-Star Notation #*((1631))*11 #*((1632))*11
BEAF {10,318}
Hyper-E notation E318
Bashicu matrix system (0)(0)(0)(0)(0)(0)[93057] (0)(0)(0)(0)(0)(0)[93058]
Hyperfactorial array notation 174! 175!
Fast-growing hierarchy \(f_2(1\,046)\) \(f_2(1\,047)\)
Hardy hierarchy \(H_{\omega^2}(1\,046)\) \(H_{\omega^2}(1\,047)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23+\omega+8}}(10)\)

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. 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
  6. 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 · 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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