Find the sum of digits of $999...999^3$ (12 nines)

Asked Sep 11 '16 at 13:36

Active Sep 11 '16 at 13:52

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What will be the sum of digits of the following expression? $$999999999999^3$$ Note that the base has $12$ nines.

Without doing it using brute force, is there an easy and simple method to find the sum of digits.

Also, in finding sum of digits of expressions like those, is there a trick that is used?

Thanks in advance!

asked Sep 11 '16 at 13:36

Mihir Chaturvedi

7

Duplicate of this question and this question, which is a generalized version of the former. – barak manos Sep 11 '16 at 13:39
@barakmanos great! Thanks a lot! – Mihir Chaturvedi Sep 11 '16 at 13:41

0 Answers0