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 $m$.