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138731418 = 23272937967
BaseRepresentation
bin10000100010011…
…01111110011010
3100200001021201200
420101031332122
5241003401133
621433255030
73303124530
oct1021157632
9320037650
10138731418
1171345a71
123a564476
1322984ac7
14145d4150
15c2a5913
hex844df9a

138731418 has 48 divisors (see below), whose sum is σ = 355380480. Its totient is φ = 38269728.

The previous prime is 138731393. The next prime is 138731431. The reversal of 138731418 is 814137831.

138731418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15330 + ... + 22637.

It is an arithmetic number, because the mean of its divisors is an integer number (7403760).

Almost surely, 2138731418 is an apocalyptic number.

138731418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138731418 is an abundant number, since it is smaller than the sum of its proper divisors (216649062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138731418 is a wasteful number, since it uses less digits than its factorization.

138731418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38011 (or 38008 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 138731418 is about 11778.4302010073. The cubic root of 138731418 is about 517.6762908449.

The spelling of 138731418 in words is "one hundred thirty-eight million, seven hundred thirty-one thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 37967 75934 113901 227802 265769 341703 531538 683406 797307 1101043 1594614 2202086 2391921 3303129 4783842 6606258 7707301 9909387 15414602 19818774 23121903 46243806 69365709 138731418