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32013130344 = 23313315635879
BaseRepresentation
bin11101110100001000…
…011001101001101000
310001122001100112001020
4131310020121221220
51011030330132334
622412344252440
72212213055346
oct356410315150
9101561315036
1032013130344
1112638639718
126255171120
133032488aa0
141799960996
15c75731e49
hex774219a68

32013130344 has 128 divisors (see below), whose sum is σ = 89142681600. Its totient is φ = 9513895680.

The previous prime is 32013130319. The next prime is 32013130349. The reversal of 32013130344 is 44303131023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (32013130349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5442397 + ... + 5448275.

It is an arithmetic number, because the mean of its divisors is an integer number (696427200).

Almost surely, 232013130344 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 32013130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44571340800).

32013130344 is an abundant number, since it is smaller than the sum of its proper divisors (57129551256).

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

32013130344 is a wasteful number, since it uses less digits than its factorization.

32013130344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6495 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32013130344 its reverse (44303131023), we get a palindrome (76316261367).

The spelling of 32013130344 in words is "thirty-two billion, thirteen million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 563 744 806 1126 1209 1612 1689 2252 2418 3224 3378 4504 4836 5879 6756 7319 9672 11758 13512 14638 17453 17637 21957 23516 29276 34906 35274 43914 47032 52359 58552 69812 70548 76427 87828 104718 139624 141096 152854 175656 182249 209436 226889 229281 305708 364498 418872 453778 458562 546747 611416 680667 728996 907556 917124 1093494 1361334 1457992 1815112 1834248 2186988 2369237 2722668 3309877 4373976 4738474 5445336 6619754 7107711 9476948 9929631 13239508 14215422 18953896 19859262 26479016 28430844 39718524 43028401 56861688 79437048 86056802 102606187 129085203 172113604 205212374 258170406 307818561 344227208 410424748 516340812 615637122 820849496 1032681624 1231274244 1333880431 2462548488 2667760862 4001641293 5335521724 8003282586 10671043448 16006565172 32013130344