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A novemtrigintillion is equal to \(10^{120}\).[1]

In the long scale which is commonly used in France and Germany, \(10^{120}\) is called vigintillion.

Aarex Tiaokhiao gave the name tetrigintillion, referring to the value of this number.[2]

The prefix quadtena- has a meaning of one novemtrigintillion.

Shannon number

Chess

Chess opening position.

The Shannon number, named after Claude Elwood Shannon, is also equal to \(10^{120}\), and is an estimate of the game complexity of chess. It is approximately equal to the number of possible 40 move (80 ply) games, 40 moves being an estimate of the average length of of a chess game. It is neither the number of possible positions (estimated to be between \(10^{43}\) and \(10^{45}\)) nor the number of possible games.

Approximations

Notation Lower bound Upper bound
Scientific notation \(1\times10^{120}\)
Arrow notation \(10\uparrow120\)
Steinhaus-Moser Notation 65[3] 66[3]
Copy notation 9[120] 1[121]
Taro's multivariable Ackermann function A(3,395) A(3,396)
Pound-Star Notation #*(9,5,5,10,4,5,6,4)*8 #*(10,5,5,10,4,5,6,4)*8
BEAF {10,120}
Hyper-E notation E120
Bashicu matrix system (0)(0)(0)(0)(0)[5623] (0)(0)(0)(0)(0)[5624]
Hyperfactorial array notation 80! 81!
Fast-growing hierarchy \(f_2(390)\) \(f_2(391)\)
Hardy hierarchy \(H_{\omega^2}(390)\) \(H_{\omega^2}(391)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega2}}(10)\)

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. Novemtrigintillion at Mega Penny Project
  2. Aarex Tiaokhiao's illion numbers

External links

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 · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct
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