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14957160114 = 23132128311497
BaseRepresentation
bin11011110111000010…
…00010011010110010
31102121101112110102010
431323201002122302
5221113013110424
610512103503350
71036436522541
oct157341023262
942541473363
1014957160114
116385a21856
122a95157b56
1315449c9a00
14a1c672158
155c81a1229
hex37b8426b2

14957160114 has 48 divisors (see below), whose sum is σ = 32420496672. Its totient is φ = 4598216064.

The previous prime is 14957160091. The next prime is 14957160161. The reversal of 14957160114 is 41106175941.

14957160114 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1295214 + ... + 1306710.

It is an arithmetic number, because the mean of its divisors is an integer number (675427014).

Almost surely, 214957160114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14957160114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16210248336).

14957160114 is an abundant number, since it is smaller than the sum of its proper divisors (17463336558).

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

14957160114 is a wasteful number, since it uses less digits than its factorization.

14957160114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12811 (or 12798 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 14957160114 in words is "fourteen billion, nine hundred fifty-seven million, one hundred sixty thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 1283 2566 3849 7698 11497 16679 22994 33358 34491 50037 68982 100074 149461 216827 298922 433654 448383 650481 896766 1300962 1942993 3885986 5828979 11657958 14750651 29501302 44251953 88503906 191758463 383516926 575275389 1150550778 2492860019 4985720038 7478580057 14957160114