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A duoquinquagintillion is equal to 10159 in America, or 10312 in France and Germany by Conway-Wechsler system.[1][2][3][4][5]

In the long scale which is commonly used in France and Germany, 10159 is called sesvigintilliard.

Sbiis Saibian says that Jonathan Bowers coined doequinquagintillion for this number.[6]

## Decimal expansion

In short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

In long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

## Approximations

For short scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{159}$$
Arrow notation $$10\uparrow159$$
Steinhaus-Moser Notation 82[3] 83[3]
Copy notation 9[159] 10[80]
Taro's multivariable Ackermann function A(3,525) A(3,526)
Pound-Star Notation #*((3))*9 #*((4))*9
BEAF {10,159}
Hyper-E notation E159
Bashicu matrix system (0)(0)(0)(0)(0)[93057] (0)(0)(0)(0)(0)[93058]
Hyperfactorial array notation 100! 101!
Fast-growing hierarchy $$f_2(519)$$ $$f_2(520)$$
Hardy hierarchy $$H_{\omega^2}(519)$$ $$H_{\omega^2}(520)$$
Slow-growing hierarchy $$g_{\omega^{\omega^2+\omega5+9}}(10)$$

For long scale:

Notation Lower bound Upper bound
Scientific notation $$1\times10^{312}$$
Arrow notation $$10\uparrow312$$
Steinhaus-Moser Notation 144[3] 145[3]
Copy notation 9[312] 1[313]
Taro's multivariable Ackermann function A(3,1033) A(3,1034)
Pound-Star Notation #*((844))*11 #*((845))*11
BEAF {10,312}
Hyper-E notation E312
Bashicu matrix system (0)(0)(0)(0)(0)(0)[74989] (0)(0)(0)(0)(0)(0)[74990]
Hyperfactorial array notation 172! 173!
Fast-growing hierarchy $$f_2(1\,026)$$ $$f_2(1\,027)$$
Hardy hierarchy $$H_{\omega^2}(1\,026)$$ $$H_{\omega^2}(1\,027)$$
Slow-growing hierarchy $$g_{\omega^{\omega^23+\omega+2}}(10)$$

## 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

1. Conway and Guy. (1995) "The book of Numbers" Copernicus
2. Steve Olsen, Big-Ass Numbers
3. The Conway-Wechsler System
4. Extensions to the -illions I: Henkle, Conway, and Rowlett
5. Fish. Conway's zillion numbers, July 25, 2021
6. Saibian, Sbiis. 2.4.8 Bowers' -illions - Large Numbers. Retrieved 2021-08-01.