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riddles >> medium >> Non-zero digits
(Message started by: K_Sengupta on Nov 27th, 2005, 10:29pm)

Title: Non-zero digits
Post by K_Sengupta on Nov 27th, 2005, 10:29pm
Prove or disprove, giving sufficient reasons , whether or not there exists  one or more numbers in Base-14 system which  are  divisible by a number having a magnitude of 7^2744 in  the decimal notation such that  none of the former numbers  contain a single zero in its base-14 notation.

If such numbers exist, what is the total number of digits of the minimum amongst such numbers in base-14 notation.



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