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13340445924 = 223132315124623
BaseRepresentation
bin11000110110010011…
…10000110011100100
31021102201101212110210
430123021300303210
5204310123232144
610043432015420
7651405630231
oct143311606344
937381355423
1013340445924
115726374523
122703831570
131347a912b0
14907a6a788
1553129eab9
hex31b270ce4

13340445924 has 96 divisors (see below), whose sum is σ = 35212713984. Its totient is φ = 3900124800.

The previous prime is 13340445919. The next prime is 13340445953. The reversal of 13340445924 is 42954404331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529477 + ... + 554099.

It is an arithmetic number, because the mean of its divisors is an integer number (366799104).

Almost surely, 213340445924 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 13340445924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17606356992).

13340445924 is an abundant number, since it is smaller than the sum of its proper divisors (21872268060).

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

13340445924 is a wasteful number, since it uses less digits than its factorization.

13340445924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24817 (or 24815 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 13340445924 in words is "thirteen billion, three hundred forty million, four hundred forty-five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 151 156 276 299 302 453 598 604 897 906 1196 1794 1812 1963 3473 3588 3926 5889 6946 7852 10419 11778 13892 20838 23556 24623 41676 45149 49246 73869 90298 98492 135447 147738 180596 270894 295476 320099 541788 566329 640198 960297 1132658 1280396 1698987 1920594 2265316 3397974 3718073 3841188 6795948 7362277 7436146 11154219 14724554 14872292 22086831 22308438 29449108 44173662 44616876 48334949 85515679 88347324 96669898 145004847 171031358 193339796 256547037 290009694 342062716 513094074 580019388 1026188148 1111703827 2223407654 3335111481 4446815308 6670222962 13340445924