Let z=(1+i)(1+2 i)(1+3 i) ….(1+n i), where i=√ -1. If |z|^2=44200, then n is equal to ____

Let $\displaystyle z=(1+i)(1+2 i)(1+3 i) \ldots .(1+n i)$, where $\displaystyle i=\sqrt{-1}$. If $\displaystyle |z|^2=44200$, then $\displaystyle n$ is equal to $\displaystyle \_\_\_\_$