## FANDOM

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The Big Ass Number function is defined as $$\mathrm{ban}(n) = n^{^nn} = {}^{n + 1}n$$, or nmegafuga(n).[1] In up-arrow notation, it can be expressed as $$n \uparrow (n \uparrow\uparrow n)$$ or as $$n \uparrow\uparrow (n+1)$$.

It was defined along with the Really Big Ass Number function by Matt Leach in a failed attempt to create an uncomputable function. In reality, the function's growth rate is around $$f_3(n)$$ in the fast-growing hierarchy, nowhere close to the busy beaver function.

The first few values of $$\mathrm{ban}(n)$$ are $$1, 16$$, and $$3^{7,625,597,484,987}$$, which has 3,638,334,640,025 decimal digits.

### Sources Edit

1. Really Big Numbers