A quinquagintillion is equal to 10153 in the short scale, or \(10^{300}\) in the long scale by Conway and Guy's naming system.[1][2][3][4]
Jonathan Bowers coined quinquagintillion for this number.[5]
In the long scale which is commonly used in France and Germany, 10153 is called quinvigintilliard.
Aarex Tiaokhiao calls 10300 millesimal-googol.[6]
Decimal Expansion[]
Short scale
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Long scale
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Approximations[]
For short scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{153}\) | |
Arrow notation | \(10\uparrow153\) | |
Steinhaus-Moser Notation | 80[3] | 81[3] |
Copy notation | 9[153] | 10[77] |
Taro's multivariable Ackermann function | A(3,505) | A(3,506) |
Pound-Star Notation | #*((670))*8 | #*((671))*8 |
BEAF | {10,153} | |
Hyper-E notation | E153 | |
Bashicu matrix system | (0)(0)(0)(0)(0)[60429] | (0)(0)(0)(0)(0)[60430] |
Hyperfactorial array notation | 97! | 98! |
Fast-growing hierarchy | \(f_2(499)\) | \(f_2(500)\) |
Hardy hierarchy | \(H_{\omega^2}(499)\) | \(H_{\omega^2}(500)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^2+\omega5+3}}(10)\) |
For long scale:
Notation | Lower bound | Upper bound |
---|---|---|
Scientific notation | \(1\times10^{300}\) | |
Arrow notation | \(10\uparrow300\) | |
Steinhaus-Moser Notation | 139[3] | 140[3] |
Copy notation | 9[300] | 1[301] |
Taro's multivariable Ackermann function | A(3,993) | A(3,994) |
Pound-Star Notation | #*((226))*11 | #*((227))*11 |
BEAF | {10,300} | |
Hyper-E notation | E300 | |
Bashicu matrix system | (0)(0)(0)(0)(0)(0)[48696] | (0)(0)(0)(0)(0)(0)[48697] |
Hyperfactorial array notation | 166! | 167! |
Fast-growing hierarchy | \(f_2(986)\) | \(f_2(987)\) |
Hardy hierarchy | \(H_{\omega^2}(986)\) | \(H_{\omega^2}(987)\) |
Slow-growing hierarchy | \(g_{\omega^{\omega^23}}(10)\) |
Examples[]
- According to Cookiefonster, a neutrino is smaller than the Plank length, which is smaller than the observable universe devided into one quinquagintillion pieces.[7] However, Cookiefonster does not cite a reliable source for the estimation of the size of a neutrino, even though it is clarified that the size is not confirmed.
List of prefixed numbers derived from quinquagintillion[]
Name | Short scale | Long scale |
---|---|---|
unquinquagintillion | 10156 | 10306 |
duoquinquagintillion | 10159 | 10312 |
tresquinquagintillion | 10162 | 10318 |
quattuorquinquagintillion | 10165 | 10324 |
quinquinquagintillion | 10168 | 10330 |
sesquinquagintillion | 10171 | 10336 |
septenquinquagintillion | 10174 | 10342 |
octoquinquagintillion | 10177 | 10348 |
novenquinquagintillion | 10180 | 10354 |
Sources[]
- ↑ Big-Ass Numbers
- ↑ Conway and Guy. (1995) "The book of Numbers" Copernicus
- ↑ The Conway-Wechsler System
- ↑ Conway's zillion numbers. Retrieved 2021-08-01.
- ↑ Bowers, Jonathan. Illion Numbers. Retrieved 2021-07-28.
- ↑ Part 1 (LAN) - Aarex Googology[dead link]
- ↑ 1.3 Sizes of the -illions - Pointless Large Number Stuff#One quinquagintillion
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
1,000–1024: 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