# Sums of Sums of Sums of

Algebra Level 5

Let $N=\underbrace{\displaystyle\sum^{2014}_{a_1=1}\sum^{a_1}_{a_2=1}\cdots \sum^{a_{2013}}_{a_{2014}=1}}_{2014\text{ sums}}1$

How many zeroes to the right of the right-most non-zero decimal digit are in $$N$$?

$$\text{Details and Assumptions}$$

• If $$N=10080000$$, then the answer would be $$4$$.
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