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A novemtrigintillion or noventrigintillion is equal to \(10^{120}\) in the short scale, or \(10^{234}\) in the long scale by Conway and Guy's naming system.by Conway-Wechsler system.[1][2][3][4][5] Noventrigintallion is an original name by Conway and novemtrigintallion is a modified name.

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.[6]

Wikia user NumLynx gave the name quadragintisand for this number's short scale value.[7]

The prefix quadtena- has a meaning of one novemtrigintillion[8].

In Decimal Form

Short scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Long Scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Shannon number

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.

Numberphile_-_How_many_chess_games_are_possible?

Numberphile - How many chess games are possible?

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 & Bird's Array Notation {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

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 · 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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