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]
The number used to be called chexillion in Sbiis saibian's old illion naming scheme.[6]
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.[7]
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[]
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ Steve Olsen, Big-Ass Numbers
- ↑ The Conway-Wechsler System
- ↑ Conway's zillion numbers. Retrieved 2021-07-28.
- ↑ Bowers, Jonathan. Illion Numbers. Retrieved 2021-07-28.
- ↑ https://sites.google.com/site/largenumbers/home/2-4/2-4-4-saibians-old-style-illions retrieved January 29, 2025
- ↑ 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 · non10–19: 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
1,000–1030: 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 · ront · quect