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An untrigintillion is equal to \(10^{96}\) in the short scale, or \(10^{186}\) in the long scale by Conway and Guy's naming system[1][2][3][4][5][6].

Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{96}\)
Arrow notation \(10\uparrow96\)
Steinhaus-Moser Notation 55[3] 56[3]
Copy notation 9[96] 1[97]
Taro's multivariable Ackermann function A(3,315) A(3,316)
Pound-Star Notation #*(2,11,1,3,7,8)*10 #*(7,9,4,3,5,6,4)*8
BEAF {10,96}
Hyper-E notation E96
Bashicu matrix system (0)(0)(0)(0)(0)[1000]
Hyperfactorial array notation 67! 68!
Fast-growing hierarchy \(f_2(310)\) \(f_2(311)\)
Hardy hierarchy \(H_{\omega^2}(310)\) \(H_{\omega^2}(311)\)
Slow-growing hierarchy \(g_{\omega^{\omega9+6}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{186}\)
Arrow notation \(10\uparrow186\)
Steinhaus-Moser Notation 94[3] 95[3]
Copy notation 9[186] 1[187]
Taro's multivariable Ackermann function A(3,614) A(3,615)
Pound-Star Notation #*((126))*9 #*((127))*9
BEAF {10,186}
Hyper-E notation E186
Bashicu matrix system (0)(0)(0)(0)(0)(0)[805] (0)(0)(0)(0)(0)(0)[806]
Hyperfactorial array notation 113! 114!
Fast-growing hierarchy \(f_2(608)\) \(f_2(609)\)
Hardy hierarchy \(H_{\omega^2}(608)\) \(H_{\omega^2}(609)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega8+6}}(10)\)

List of prefixed numbers derived from trigintillion

Name Short scale Long scale
untrigintillion 1096 10186
duotrigintillion 1099 10192
tretrigintillion 10102 10198
quattuortrigintillion 10105 10204
quintrigintillion 10108 10210
sextrigintillion 10111 10216
septentrigintillion 10114 10222
octotrigintillion 10117 10228
novemtrigintillion 10120 10234

Sources

  1. Extensions to the -illions I: Henkle, Conway, and Rowlett
  2. Steve Olsen, Big-Ass Numbers
  3. Names for Large Numbers (Internet archive, archived at 6 June, 2002)
  4. Conway and Guy. (1995) "The book of Numbers" Copernicus
  5. The Conway-Wechsler System
  6. 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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