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13232404214432 = 2513173750570213
BaseRepresentation
bin1100000010001110100011…
…0000001011001010100000
31201212000011000000212022222
43000203220300023022200
53213244430434330212
644050514345250212
72534003212002644
oct300435060131240
951760130025288
1013232404214432
1142419162358a7
121598641493968
1374ca6c4a2670
1433a64798ac24
1517e31283ec72
hexc08e8c0b2a0

13232404214432 has 96 divisors (see below), whose sum is σ = 30508403263632. Its totient is φ = 5592660885504.

The previous prime is 13232404214431. The next prime is 13232404214453. The reversal of 13232404214432 is 23441240423231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7579251265936 + 5653152948496 = 2753044^2 + 2377636^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13232404214392 and 13232404214401.

It is not an unprimeable number, because it can be changed into a prime (13232404214431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25023443 + ... + 25546770.

Almost surely, 213232404214432 is an apocalyptic number.

It is an amenable number.

13232404214432 is an abundant number, since it is smaller than the sum of its proper divisors (17275999049200).

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

13232404214432 is a wasteful number, since it uses less digits than its factorization.

13232404214432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50570290 (or 50570282 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 13232404214432 its reverse (23441240423231), we get a palindrome (36673644637663).

The spelling of 13232404214432 in words is "thirteen trillion, two hundred thirty-two billion, four hundred four million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 37 52 68 74 104 136 148 208 221 272 296 416 442 481 544 592 629 884 962 1184 1258 1768 1924 2516 3536 3848 5032 7072 7696 8177 10064 15392 16354 20128 32708 65416 130832 261664 50570213 101140426 202280852 404561704 657412769 809123408 859693621 1314825538 1618246816 1719387242 1871097881 2629651076 3438774484 3742195762 5259302152 6877548968 7484391524 10518604304 11176017073 13755097936 14968783048 21037208608 22352034146 24324272453 27510195872 29937566096 31808663977 44704068292 48648544906 59875132192 63617327954 89408136584 97297089812 127234655908 178816273168 194594179624 254469311816 357632546336 389188359248 413512631701 508938623632 778376718496 827025263402 1017877247264 1654050526804 3308101053608 6616202107216 13232404214432