## Problem of the Day #261: “Exponentorial”
*December 5, 2011*

*Posted by Albert in : potd , trackback*

Let the *exponentorial* of a number $n$ be defined as:

$$ɇ(n) = \left( \left( \cdots \left( \left( \left( n \right)^{n-1} \right)^{n-2} \right)^{\cdots} \right)^2 \right)^1$$

The number $ɇ(2011)$ ends in $m$ zeroes followed by a single $1$. Find $m$.

## Comments»

no comments yet - be the first?