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14989110432 = 25310315110039
BaseRepresentation
bin11011111010110101…
…11010110010100000
31102200121122201000020
431331122322302200
5221144203013212
610515204353440
71040305223262
oct157532726240
942617581006
1014989110432
1163a1a6457a
122aa39a5880
13154b50561a
14a229cbb32
155cadb2d8c
hex37d6baca0

14989110432 has 96 divisors (see below), whose sum is σ = 39995504640. Its totient is φ = 4914604800.

The previous prime is 14989110407. The next prime is 14989110449. The reversal of 14989110432 is 23401198941.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1488069 + ... + 1498107.

It is an arithmetic number, because the mean of its divisors is an integer number (416619840).

Almost surely, 214989110432 is an apocalyptic number.

14989110432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14989110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19997752320).

14989110432 is an abundant number, since it is smaller than the sum of its proper divisors (25006394208).

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

14989110432 is a wasteful number, since it uses less digits than its factorization.

14989110432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10306 (or 10298 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 14989110432 in words is "fourteen billion, nine hundred eighty-nine million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 151 206 302 309 412 453 604 618 824 906 1208 1236 1648 1812 2416 2472 3296 3624 4832 4944 7248 9888 10039 14496 15553 20078 30117 31106 40156 46659 60234 62212 80312 93318 120468 124424 160624 186636 240936 248848 321248 373272 481872 497696 746544 963744 1034017 1493088 1515889 2068034 3031778 3102051 4136068 4547667 6063556 6204102 8272136 9095334 12127112 12408204 16544272 18190668 24254224 24816408 33088544 36381336 48508448 49632816 72762672 99265632 145525344 156136567 312273134 468409701 624546268 936819402 1249092536 1873638804 2498185072 3747277608 4996370144 7494555216 14989110432