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Write down the sum of sum of sum of digits of $4444^{4444}$

If we write $ 4444^{4444}$ in decimal form .Then the sum of digits is equal to :$A$ .If we assume that: $B$ is the sum of digits :$A$ .How to find the sum of digits :$B$


marked as duplicate by Dejan Govc, Ittay Weiss, Davide Giraudo, rschwieb, Fabian Jan 7 '13 at 21:31

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