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If (1+tan 1^@) (1+tan 2^@) (1 + tan 3^@)...

If `(1+tan 1^@) (1+tan 2^@) (1 + tan 3^@)...... (1+tan 44^@) (1 + tan 45^@)=N`, then find the number of digits in N. (Here `log_10 2= 0.301`).

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