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The yoctillion is equal to $$10^{3\times10^{24}+3} = 10^{3\text{ septillion}+3}$$ in the short scale, or $$10^{6\times10^{24}}$$ in the long scale (French/German system).[1] The term was coined by Jonathan Bowers.

Written out in decimal form yoctillion (in the short scale) is:

103000000000000000000000003

In long scale:

106000000000000000000000000

## Etymology

The name of this number is based on the suffix "-illion" and SI prefix "yocto-".

## Approximations in other notations

Notation Lower bound Upper bound
Arrow notation $$1000\uparrow(1+10\uparrow24)$$
Down-arrow notation $$1000\downarrow\downarrow9$$ $$33\downarrow\downarrow17$$
Steinhaus-Moser Notation 18[3][3] 19[3][3]
Copy notation 2[2[25]] 3[3[25]]
H* function H(H(7))
Taro's multivariable Ackermann function A(3,A(3,80)) A(3,A(3,81))
Pound-Star Notation #*((1))*(0,7,10)*3 #*((1))*(1,7,10)*3
BEAF {1000,1+{10,24}}
Hyper-E notation E(3+3E24)
Bashicu matrix system (0)(1)[79] (0)(1)[80]
Hyperfactorial array notation (23!)! (24!)!
Fast-growing hierarchy $$f_2(f_2(76))$$ $$f_2(f_2(77))$$
Hardy hierarchy $$H_{\omega^22}(76)$$ $$H_{\omega^22}(77)$$
Slow-growing hierarchy $$g_{\omega^{\omega^{\omega2+4}3+3}}(10)$$

## Sources

1. Illion Numbers by Jonathan Bowers