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1132440316304 = 2411312833072389
BaseRepresentation
bin10000011110101010101…
…100111110100110010000
311000021000201020120202012
4100132222230332212100
5122023214210110204
62224122542042052
7144546632603123
oct20365254764620
94007021216665
101132440316304
113a72a1043860
12163583b79328
1382a339037cb
143cb4ba683ba
151e6cd96676e
hex107aab3e990

1132440316304 has 160 divisors (see below), whose sum is σ = 2488627384320. Its totient is φ = 494556710400.

The previous prime is 1132440316297. The next prime is 1132440316321. The reversal of 1132440316304 is 4036130442311.

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, 474021542 + ... + 474023930.

It is an arithmetic number, because the mean of its divisors is an integer number (15553921152).

Almost surely, 21132440316304 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 1132440316304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244313692160).

1132440316304 is an abundant number, since it is smaller than the sum of its proper divisors (1356187068016).

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

1132440316304 is a wasteful number, since it uses less digits than its factorization.

1132440316304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 1132440316304 its reverse (4036130442311), we get a palindrome (5168570758615).

The spelling of 1132440316304 in words is "one trillion, one hundred thirty-two billion, four hundred forty million, three hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 283 307 341 496 566 614 682 1132 1228 1364 2264 2389 2456 2728 3113 3377 4528 4778 4912 5456 6226 6754 8773 9517 9556 12452 13508 17546 19034 19112 24904 26279 27016 35092 38068 38224 49808 52558 54032 70184 74059 76136 86881 96503 104687 105116 140368 148118 152272 173762 193006 209374 210232 296236 347524 386012 418748 420464 592472 676087 695048 733423 772024 814649 837496 955691 1184944 1352174 1390096 1466846 1544048 1629298 1674992 1911382 2693311 2704348 2933692 3258596 3822764 5386622 5408696 5867384 6517192 7436957 7645528 8067653 10773244 10817392 11734768 13034384 14873914 15291056 16135306 20958697 21546488 22736113 29626421 29747828 32270612 41917394 43092976 45472226 59252842 59495656 64541224 83834788 90944452 118505684 118991312 129082448 167669576 181888904 207558709 230545667 237011368 250097243 335339152 363777808 415117418 461091334 474022736 500194486 830234836 922182668 1000388972 1660469672 1844365336 2000777944 2283145799 3320939344 3688730672 4001555888 4566291598 6434319979 9132583196 12868639958 18265166392 25737279916 36530332784 51474559832 70777519769 102949119664 141555039538 283110079076 566220158152 1132440316304