Today is my birthday!

Number Theory Level 4

Today is the 6th of August and I turn \(18\). Let \(x\) be the remainder when the square of the trailing zeroes of the factorial of the product of the the hours, minutes and seconds I was born is divided by my age \(3\) years ago.

Find \(x^2+3x+4\).

\(Given:\) Exact date of birth: 7:46:23 am, August 6, 1996.

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