Search a number
-
+
15140242152 = 23327295710159
BaseRepresentation
bin11100001100110110…
…11100001011101000
31110002011000222202100
432012123130023220
5222001400222102
610542203533400
71044121635450
oct160633341350
943064028670
1015140242152
11646a2aa022
122b2652a260
13157390c689
14a38accd60
155d92b7a1c
hex3866dc2e8

15140242152 has 96 divisors (see below), whose sum is σ = 46883116800. Its totient is φ = 4323894912.

The previous prime is 15140242127. The next prime is 15140242189. The reversal of 15140242152 is 25124204151.

It is a happy number.

15140242152 is a `hidden beast` number, since 151 + 40 + 2 + 421 + 52 = 666.

15140242152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151402421522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485249 + ... + 1495407.

It is an arithmetic number, because the mean of its divisors is an integer number (488365800).

Almost surely, 215140242152 is an apocalyptic number.

15140242152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15140242152 is an abundant number, since it is smaller than the sum of its proper divisors (31742874648).

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

15140242152 is a wasteful number, since it uses less digits than its factorization.

15140242152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13135 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 15140242152 in words is "fifteen billion, one hundred forty million, two hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2957 5914 8871 10159 11828 17742 20318 20699 23656 26613 30477 35484 40636 41398 53226 60954 62097 70968 71113 81272 82796 91431 106452 121908 124194 142226 165592 182862 186291 212904 213339 243816 248388 284452 365724 372582 426678 496776 568904 640017 731448 745164 853356 1280034 1490328 1706712 2560068 5120136 30040163 60080326 90120489 120160652 180240978 210281141 240321304 270361467 360481956 420562282 540722934 630843423 720963912 841124564 1081445868 1261686846 1682249128 1892530269 2162891736 2523373692 3785060538 5046747384 7570121076 15140242152