Factorial

\(n!\) is the factorial of \(n\), where \(n!=1\cdot 2\cdot 3\cdot ...\cdot \left( n-1 \right) \cdot n\). For example \(4!=1\cdot 2\cdot 3\cdot 4=24\).

If \(n!={ 2 }^{ 15 }\cdot { 3 }^{ 6 }\cdot { 5 }^{ 3 }\cdot { 7 }^{ 2 }\cdot 11\cdot 13\) what is the value of \(n\)?

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