The number 5353714662021596247595065017236556037762353639503 is the nineteenth power of a positive integer.
Find the integer using just pen and paper.
5353714662021596247595065017236556037762353639503
is
53537146620.21596247595065017236556037762353639503
x 10^38
2^19 = 524288 while
3^19 = 1162261467 and
4^19 = 274877906944
so the answer is somewhere between 300 and 400.
Of course if we use a calculator we can find 19th root of 53537146620 is 3.669999999999221, in other words 3.67, so the answer would be 3.67 x 10^(38/19) = 3.67 x 10^2 = 367.

Posted by Charlie
on 20160906 15:42:04 