Googology Wiki
Register
Advertisement
Googology Wiki

View full site to see MathJax equation

A quadragintillion is equal to 10123 in the short scale, or \(10^{240}\) in the long scale by Conway and Guy's naming system[1][2][3][4] and Jonathan Bowers's system.[5]

In the long scale which is commonly used in France and Germany, 10123 is called vigintilliard.

In decimal form[]

Short Scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Long Scale

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations[]

For short scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{123}\)
Arrow notation \(10\uparrow123\)
Steinhaus-Moser Notation 67[3] 68[3]
Copy notation 9[123] 10[62]
Taro's multivariable Ackermann function A(3,405) A(3,406)
Pound-Star Notation #*(5,1,8,4,7,1,5,7)*8 #*(6,1,8,4,7,1,5,7)*8
BEAF {10,123}
Hyper-E notation E123
Bashicu matrix system (0)(0)(0)(0)(0)[6978] (0)(0)(0)(0)(0)[6979]
Hyperfactorial array notation 82! 83!
Fast-growing hierarchy \(f_2(399)\) \(f_2(400)\)
Hardy hierarchy \(H_{\omega^2}(399)\) \(H_{\omega^2}(400)\)
Slow-growing hierarchy \(g_{\omega^{\omega^2+\omega2+3}}(10)\)

For long scale:

Notation Lower bound Upper bound
Scientific notation \(1\times10^{240}\)
Arrow notation \(10\uparrow240\)
Steinhaus-Moser Notation 116[3] 117[3]
Copy notation 9[240] 1[241]
Taro's multivariable Ackermann function A(3,794) A(3,795)
Pound-Star Notation #*((187))*10 #*((188))*10
BEAF {10,240}
Hyper-E notation E240
Bashicu matrix system (0)(0)(0)(0)(0)(0)[5623] (0)(0)(0)(0)(0)(0)[5624]
Hyperfactorial array notation 139! 140!
Fast-growing hierarchy \(f_2(787)\) \(f_2(788)\)
Hardy hierarchy \(H_{\omega^2}(787)\) \(H_{\omega^2}(788)\)
Slow-growing hierarchy \(g_{\omega^{\omega^22+\omega4}}(10)\)

Examples[]

  • A proton and a neutron are both 100 quadragintillion times smaller than the observable universe.[6]

List of prefixed numbers derived from quadragintillion[]

Name Short scale Long scale
unquadragintillion 10126 10246
duoquadragintillion 10129 10252
tresquadragintillion 10132 10258
quattuorquadragintillion 10135 10264
quinquadragintillion 10138 10270
sesquadragintillion 10141 10276
septenquadragintillion 10144 10282
octoquadragintillion 10147 10288
novenquadragintillion 10150 10294

Sources[]

  1. Conway and Guy. (1995) "The book of Numbers" Copernicus
  2. Steve Olsen, Big-Ass Numbers
  3. The Conway-Wechsler System
  4. Conway's zillion numbers. Retrieved 2021-07-28.
  5. Bowers, Jonathan. Illion Numbers. Retrieved 2021-07-28.
  6. 1.3 Sizes of the -illions - Pointless Large Number Stuff#One quadragintillion

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 · tresvigint · quattuorvigint · quinvigint · sesvigint · septemvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
40–49: quadragintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
50–59: quinquagintillion (un- · duo- · tres- · quattuor- · quin- · ses- · septen- · octo- · noven-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septen- · octo- · noven-)
80–89: octogintillion (un- · duo- · tres- · quattuor- · quin- · sex- · septem- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · se- · septe- · octo- · nove-)
100–900: centillion · ducent · trecent · quadringent · quingent · sescent · 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
Advertisement