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14463319104 = 2632131931533
BaseRepresentation
bin11010111100001010…
…01011110001000000
31101022222021201220100
431132011023301000
5214110102202404
610351103042400
71021262120043
oct153605136100
941288251810
1014463319104
116152191793
1229778a0400
1314965c00b0
149b2c40c5a
15599b52d39
hex35e14bc40

14463319104 has 84 divisors (see below), whose sum is σ = 44645476876. Its totient is φ = 4450249728.

The previous prime is 14463319093. The next prime is 14463319127. The reversal of 14463319104 is 40191336441.

14463319104 is a `hidden beast` number, since 1 + 4 + 4 + 633 + 1 + 9 + 10 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8546632704 + 5916686400 = 92448^2 + 76920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958279 + ... + 973254.

Almost surely, 214463319104 is an apocalyptic number.

It is an amenable number.

14463319104 is an abundant number, since it is smaller than the sum of its proper divisors (30182157772).

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

14463319104 is a wasteful number, since it uses less digits than its factorization.

14463319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931564 (or 1931551 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 14463319104 in words is "fourteen billion, four hundred sixty-three million, three hundred nineteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 1931533 3863066 5794599 7726132 11589198 15452264 17383797 23178396 25109929 30904528 34767594 46356792 50219858 61809056 69535188 75329787 92713584 100439716 123618112 139070376 150659574 185427168 200879432 225989361 278140752 301319148 370854336 401758864 451978722 556281504 602638296 803517728 903957444 1112563008 1205276592 1607035456 1807914888 2410553184 3615829776 4821106368 7231659552 14463319104