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138014744 = 2374635323
BaseRepresentation
bin10000011100111…
…11000000011000
3100121200212122012
420032133000120
5240312432434
621410045052
73264051230
oct1016370030
9317625565
10138014744
11709a657a
123a279788
132279383a
1414488cc0
15c1b33ce
hex839f018

138014744 has 32 divisors (see below), whose sum is σ = 296440320. Its totient is φ = 59010336.

The previous prime is 138014731. The next prime is 138014761. The reversal of 138014744 is 447410831.

It is a super-3 number, since 3×1380147443 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 138014744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23267 + ... + 28589.

It is an arithmetic number, because the mean of its divisors is an integer number (9263760).

Almost surely, 2138014744 is an apocalyptic number.

138014744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138014744 is an abundant number, since it is smaller than the sum of its proper divisors (158425576).

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

138014744 is a wasteful number, since it uses less digits than its factorization.

138014744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5799 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 138014744 is about 11747.9676540242. The cubic root of 138014744 is about 516.7833284024.

The spelling of 138014744 in words is "one hundred thirty-eight million, fourteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 463 926 1852 3241 3704 5323 6482 10646 12964 21292 25928 37261 42584 74522 149044 298088 2464549 4929098 9858196 17251843 19716392 34503686 69007372 138014744