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31345464084804 = 223461250992
BaseRepresentation
bin1110010000010001011110…
…10000001000100101000100
311002222121010021202000110000
413020020233100020211010
513102031002301203204
6150355524000001300
76413430551410032
oct710105720104504
9132877107660400
1031345464084804
119a9559a335051
123622b64600230
131464b316363cc
147a51b2a8b552
1539557a25e039
hex1c822f408944

31345464084804 has 135 divisors (see below), whose sum is σ = 83324929789101. Its totient is φ = 10275185806560.

The previous prime is 31345464084773. The next prime is 31345464084827. The reversal of 31345464084804 is 40848046454313.

The square root of 31345464084804 is 5598702.

It is a perfect power (a square), and thus also a powerful number.

31345464084804 is a `hidden beast` number, since 3 + 13 + 4 + 546 + 4 + 0 + 8 + 4 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1019296198404 + 30326167886400 = 1009602^2 + 5506920^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6147372247 + ... + 6147377345.

Almost surely, 231345464084804 is an apocalyptic number.

31345464084804 is the 5598702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31345464084804

31345464084804 is an abundant number, since it is smaller than the sum of its proper divisors (51979465704297).

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

31345464084804 is an frugal number, since it uses more digits than its factorization.

31345464084804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10336 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 31345464084804 in words is "thirty-one trillion, three hundred forty-five billion, four hundred sixty-four million, eighty-four thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 549 732 1098 1647 2196 3294 3721 4941 5099 6588 7442 9882 10198 11163 14884 15297 19764 20396 22326 30594 33489 44652 45891 61188 66978 91782 100467 133956 137673 183564 200934 275346 301401 311039 401868 413019 550692 602802 622078 826038 933117 1205604 1244156 1652076 1866234 2799351 3732468 5598702 8398053 11197404 16796106 18973379 25194159 25999801 33592212 37946758 50388318 51999602 56920137 75893516 77999403 100776636 103999204 113840274 155998806 170760411 227680548 233998209 311997612 341520822 467996418 512281233 683041644 701994627 935992836 1024562466 1403989254 1536843699 1585987861 2049124932 2105983881 2807978508 3073687398 3171975722 4211967762 4757963583 6147374796 6343951444 8423935524 9515927166 14273890749 19031854332 28547781498 42821672247 57095562996 85643344494 96745259521 128465016741 171286688988 193490519042 256930033482 290235778563 386981038084 513860066964 580471557126 870707335689 1160943114252 1741414671378 2612122007067 3482829342756 5224244014134 7836366021201 10448488028268 15672732042402 31345464084804