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31314150433452 = 22319449376181331
BaseRepresentation
bin1110001111010111001001…
…10100000010001010101100
311002212121021222120201012010
413013223210310002022230
513101022340002332302
6150333304435441220
76411241560642615
oct707534464021254
9132777258521163
1031314150433452
119a8329061a347
123618a85756210
131461bb1066823
147a3881daac0c
1539484614a16c
hex1c7ae4d022ac

31314150433452 has 96 divisors (see below), whose sum is σ = 77104687968000. Its totient is φ = 9863910604800.

The previous prime is 31314150433439. The next prime is 31314150433483. The reversal of 31314150433452 is 25433405141313.

It is a self number, because there is not a number n which added to its sum of digits gives 31314150433452.

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, 384980427 + ... + 385061757.

It is an arithmetic number, because the mean of its divisors is an integer number (803173833000).

Almost surely, 231314150433452 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 31314150433452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38552343984000).

31314150433452 is an abundant number, since it is smaller than the sum of its proper divisors (45790537534548).

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

31314150433452 is a wasteful number, since it uses less digits than its factorization.

31314150433452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85567 (or 85565 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

Adding to 31314150433452 its reverse (25433405141313), we get a palindrome (56747555574765).

The spelling of 31314150433452 in words is "thirty-one trillion, three hundred fourteen billion, one hundred fifty million, four hundred thirty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 449 898 1347 1796 2694 3761 5388 7522 8531 11283 15044 17062 22566 25593 34124 45132 51186 71459 81331 102372 142918 162662 214377 243993 285836 325324 428754 487986 857508 975972 1545289 1688689 3090578 3377378 4635867 5066067 6181156 6754756 9271734 10132134 18543468 20264268 32085091 36517619 64170182 73035238 96255273 109552857 128340364 146070476 192510546 219105714 305885891 385021092 438211428 611771782 693834761 917657673 1223543564 1387669522 1835315346 2081504283 2775339044 3670630692 4163008566 5811831929 8326017132 11623663858 17435495787 23247327716 34870991574 69741983148 137342765059 274685530118 412028295177 549371060236 824056590354 1648113180708 2609512536121 5219025072242 7828537608363 10438050144484 15657075216726 31314150433452