A number theory problem by Naren Bhandari

If N!=S\large \color{#3D99F6}{N!} = \color{#D61F06}{S}

Here S\color{#D61F06}{S} carries total number of seconds in six weeks. Find N\color{#3D99F6}{N}.


Notation: !! is the factorial notation. For example, 8!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .

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