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12310402304 = 28177338749
BaseRepresentation
bin10110111011100000…
…11101010100000000
31011202221012020021002
423131300131110000
5200202430333204
65353314351132
7614030456504
oct133560352400
934687166232
1012310402304
1152479a0502
12247688b4a8
131212565325
1484ad3c304
154c0b3691e
hex2ddc1d500

12310402304 has 72 divisors (see below), whose sum is σ = 26375265000. Its totient is φ = 5713625088.

The previous prime is 12310402297. The next prime is 12310402319. The reversal of 12310402304 is 40320401321.

It can be written as a sum of positive squares in 4 ways, for example, as 3653960704 + 8656441600 = 60448^2 + 93040^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 298322 + ... + 337070.

It is an arithmetic number, because the mean of its divisors is an integer number (366323125).

Almost surely, 212310402304 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 12310402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13187632500).

12310402304 is an abundant number, since it is smaller than the sum of its proper divisors (14064862696).

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

12310402304 is an equidigital number, since it uses as much as digits as its factorization.

12310402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38855 (or 38841 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12310402304 its reverse (40320401321), we get a palindrome (52630803625).

The spelling of 12310402304 in words is "twelve billion, three hundred ten million, four hundred two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 146 256 272 292 544 584 1088 1168 1241 2176 2336 2482 4352 4672 4964 9344 9928 18688 19856 38749 39712 77498 79424 154996 158848 309992 317696 619984 658733 1239968 1317466 2479936 2634932 2828677 4959872 5269864 5657354 9919744 10539728 11314708 21079456 22629416 42158912 45258832 48087509 84317824 90517664 96175018 168635648 181035328 192350036 362070656 384700072 724141312 769400144 1538800288 3077600576 6155201152 12310402304