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14312289672 = 23322326132
BaseRepresentation
bin11010101010001010…
…00011010110001000
31100221110002122110200
431111011003112020
5213302421232142
610324110012200
71014446312022
oct152505032610
940843078420
1014312289672
116084a0707a
1229351a7060
131471220775
1499ab69012
1558b76d64c
hex355143588

14312289672 has 108 divisors (see below), whose sum is σ = 40587260805. Its totient is φ = 4555894464.

The previous prime is 14312289659. The next prime is 14312289689. The reversal of 14312289672 is 27698221341.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 7971989796 + 6340299876 = 89286^2 + 79626^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=84594.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23347638 + ... + 23348250.

Almost surely, 214312289672 is an apocalyptic number.

14312289672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14312289672

14312289672 is an abundant number, since it is smaller than the sum of its proper divisors (26274971133).

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

14312289672 is an equidigital number, since it uses as much as digits as its factorization.

14312289672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 641 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 14312289672 in words is "fourteen billion, three hundred twelve million, two hundred eighty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 529 552 613 828 1058 1226 1587 1656 1839 2116 2452 3174 3678 4232 4761 4904 5517 6348 7356 9522 11034 12696 14099 14712 19044 22068 28198 38088 42297 44136 56396 84594 112792 126891 169188 253782 324277 338376 375769 507564 648554 751538 972831 1015128 1127307 1297108 1503076 1945662 2254614 2594216 2918493 3006152 3381921 3891324 4509228 5836986 6763842 7782648 8642687 9018456 11673972 13527684 17285374 23347944 25928061 27055368 34570748 51856122 69141496 77784183 103712244 155568366 198781801 207424488 311136732 397563602 596345403 622273464 795127204 1192690806 1590254408 1789036209 2385381612 3578072418 4770763224 7156144836 14312289672