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138141831 = 3371244521
BaseRepresentation
bin10000011101111…
…10000010000111
3100121221022222010
420032332002013
5240331014311
621412505303
73265120602
oct1016760207
9317838863
10138141831
1170a83003
123a31b233
1322809639
14144bd339
15c1dada6
hex83be087

138141831 has 8 divisors (see below), whose sum is σ = 189167344. Its totient is φ = 89605440.

The previous prime is 138141827. The next prime is 138141851.

138141831 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 138141831 - 22 = 138141827 is a prime.

It is a super-2 number, since 2×1381418312 = 38166330944065122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138141811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622150 + ... + 622371.

It is an arithmetic number, because the mean of its divisors is an integer number (23645918).

Almost surely, 2138141831 is an apocalyptic number.

138141831 is a deficient number, since it is larger than the sum of its proper divisors (51025513).

138141831 is a wasteful number, since it uses less digits than its factorization.

138141831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244561.

The product of its digits is 2304, while the sum is 30.

The square root of 138141831 is about 11753.3753024397. The cubic root of 138141831 is about 516.9419015434.

The spelling of 138141831 in words is "one hundred thirty-eight million, one hundred forty-one thousand, eight hundred thirty-one".

Divisors: 1 3 37 111 1244521 3733563 46047277 138141831