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Not to be confused with ducentillion.
For the duocentillion by Curt Noll, see Duocentillion (Noll).

The duocentillion is equal to $$10^{309}$$.[1] The term was coined by Jonathan Bowers. It is the smallest -illion number not expressible in the double-precision floating-point format, as it maxes out at $$2^{1,024}$$.

Aarex Tiaokhiao gave the name cetertillion, referring to the value of this number.[2]

In the long scale, $$10^{309}$$ is called unquinquagintilliard

## Decimal Expansion

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

## Approximations

Notation Lower bound Upper bound
Scientific notation $$1\times10^{309}$$
Arrow notation $$10\uparrow309$$
Steinhaus-Moser Notation 143[3] 144[3]
Copy notation 9[309] 10[155]
Taro's multivariable Ackermann function A(3,1023) A(3,1024)
Pound-Star Notation #*((608))*11 #*((609))*11
BEAF {10,309}
Hyper-E notation E309
Bashicu matrix system (0)(0)(0)(0)(0)(0)[67317] (0)(0)(0)(0)(0)(0)[67318]
Hyperfactorial array notation 170! 171!
Fast-growing hierarchy $$f_2(1\,016)$$ $$f_2(1\,017)$$
Hardy hierarchy $$H_{\omega^2}(1\,016)$$ $$H_{\omega^2}(1\,017)$$
Slow-growing hierarchy $$g_{\omega^{\omega^23+9}}(10)$$