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44113312001304 = 23327213961828711
BaseRepresentation
bin10100000011110111011100…
…10010101010110100011000
312210012012011120010210021200
422001323232102222310120
521240223030333020204
6233453213055434200
712202036665135600
oct1201735622526430
9183165146123250
1044113312001304
1113068394658407
124b45556b25960
131b7cb37ab4b80
14ac714a81dc00
1551774d943539
hex281eee4aad18

44113312001304 has 144 divisors (see below), whose sum is σ = 149670165874320. Its totient is φ = 11634280076160.

The previous prime is 44113312001273. The next prime is 44113312001347. The reversal of 44113312001304 is 40310021331144.

44113312001304 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 331 + 20 + 0 + 1 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 480868492 + ... + 480960219.

It is an arithmetic number, because the mean of its divisors is an integer number (1039376151905).

Almost surely, 244113312001304 is an apocalyptic number.

It is an amenable number.

44113312001304 is an abundant number, since it is smaller than the sum of its proper divisors (105556853873016).

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

44113312001304 is a wasteful number, since it uses less digits than its factorization.

44113312001304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961828750 (or 961828736 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 44113312001304 its reverse (40310021331144), we get a palindrome (84423333332448).

The spelling of 44113312001304 in words is "forty-four trillion, one hundred thirteen billion, three hundred twelve million, one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 961828711 1923657422 2885486133 3847314844 5770972266 6732800977 7694629688 8656458399 11541944532 12503773243 13465601954 17312916798 20198402931 23083889064 25007546486 26931203908 34625833596 37511319729 40396805862 47129606839 50015092972 53862407816 60595208793 69251667192 75022639458 80793611724 87526412701 94259213678 100030185944 112533959187 121190417586 141388820517 150045278916 161587223448 175052825402 188518427356 225067918374 242380835172 262579238103 282777641034 300090557832 350105650804 377036854712 424166461551 450135836748 484761670344 525158476206 565555282068 612684888907 700211301608 787737714309 848332923102 900271673496 1050316952412 1131110564136 1225369777814 1575475428618 1696665846204 1838054666721 2100633904824 2450739555628 3150950857236 3393331692408 3676109333442 4901479111256 5514164000163 6301901714472 7352218666884 11028328000326 14704437333768 22056656000652 44113312001304