Search a number
-
+
14279494464 = 2632139178351
BaseRepresentation
bin11010100110001111…
…11100101101000000
31100212011101110220100
431103013330231000
5213221022310324
610320535042400
71013600462124
oct152307745500
940764343810
1014279494464
1160684475a4
122926210400
1314674aa411
1499666d584
155889414c9
hex3531fcb40

14279494464 has 84 divisors (see below), whose sum is σ = 41224281280. Its totient is φ = 4725561600.

The previous prime is 14279494447. The next prime is 14279494483. The reversal of 14279494464 is 46449497241.

14279494464 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 94 + 94 + 464 = 666.

14279494464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14279494464.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9112 + ... + 169239.

Almost surely, 214279494464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14279494464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20612140640).

14279494464 is an abundant number, since it is smaller than the sum of its proper divisors (26944786816).

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

14279494464 is a wasteful number, since it uses less digits than its factorization.

14279494464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178508 (or 178495 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 14279494464 in words is "fourteen billion, two hundred seventy-nine million, four hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 139 144 192 278 288 417 556 576 834 1112 1251 1668 2224 2502 3336 4448 5004 6672 8896 10008 13344 20016 26688 40032 80064 178351 356702 535053 713404 1070106 1426808 1605159 2140212 2853616 3210318 4280424 5707232 6420636 8560848 11414464 12841272 17121696 24790789 25682544 34243392 49581578 51365088 74372367 99163156 102730176 148744734 198326312 223117101 297489468 396652624 446234202 594978936 793305248 892468404 1189957872 1586610496 1784936808 2379915744 3569873616 4759831488 7139747232 14279494464