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138856311 = 32111402589
BaseRepresentation
bin10000100011011…
…00011101110111
3100200021122001100
420101230131313
5241021400221
621440101143
73304154616
oct1021543567
9320248040
10138856311
1171420890
123a6047b3
13229c98c9
141462787d
15c2cc926
hex846c777

138856311 has 12 divisors (see below), whose sum is σ = 218804040. Its totient is φ = 84155280.

The previous prime is 138856297. The next prime is 138856327. The reversal of 138856311 is 113658831.

138856311 is a `hidden beast` number, since 1 + 3 + 88 + 563 + 11 = 666.

It is not a de Polignac number, because 138856311 - 215 = 138823543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138856511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701196 + ... + 701393.

It is an arithmetic number, because the mean of its divisors is an integer number (18233670).

Almost surely, 2138856311 is an apocalyptic number.

138856311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

138856311 is a deficient number, since it is larger than the sum of its proper divisors (79947729).

138856311 is a wasteful number, since it uses less digits than its factorization.

138856311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402606 (or 1402603 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 138856311 is about 11783.7307759470. The cubic root of 138856311 is about 517.8315903292.

The spelling of 138856311 in words is "one hundred thirty-eight million, eight hundred fifty-six thousand, three hundred eleven".

Divisors: 1 3 9 11 33 99 1402589 4207767 12623301 15428479 46285437 138856311