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14954374314 = 23211499151357
BaseRepresentation
bin11011110110101100…
…11010010010101010
31102121012021221000100
431323112122102222
5221111304434224
610511524050230
71036404040635
oct157326322252
942535257010
1014954374314
116384399840
122a94233976
1315442629c9
14a1c148c1c
155c7d00ac9
hex37b59a4aa

14954374314 has 48 divisors (see below), whose sum is σ = 35417772000. Its totient is φ = 4522517280.

The previous prime is 14954374313. The next prime is 14954374367. The reversal of 14954374314 is 41347345941.

It is a happy number.

14954374314 is a `hidden beast` number, since 1 + 4 + 9 + 543 + 74 + 31 + 4 = 666.

It is a super-2 number, since 2×149543743142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14954374314.

It is not an unprimeable number, because it can be changed into a prime (14954374313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23124 + ... + 174480.

It is an arithmetic number, because the mean of its divisors is an integer number (737870250).

Almost surely, 214954374314 is an apocalyptic number.

14954374314 is an abundant number, since it is smaller than the sum of its proper divisors (20463397686).

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

14954374314 is a wasteful number, since it uses less digits than its factorization.

14954374314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151875 (or 151872 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 14954374314 in words is "fourteen billion, nine hundred fifty-four million, three hundred seventy-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 499 998 1497 2994 4491 5489 8982 10978 16467 32934 49401 98802 151357 302714 454071 908142 1362213 1664927 2724426 3329854 4994781 9989562 14984343 29968686 75527143 151054286 226581429 453162858 679744287 830798573 1359488574 1661597146 2492395719 4984791438 7477187157 14954374314