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230444343444032 = 268978751406891
BaseRepresentation
bin110100011001011010000001…
…001110110100001001000000
31010012221021010111220112122022
4310121122001032310021000
5220201100003410202112
62134040400410501012
766353024440663004
oct6431320116641100
91105837114815568
10230444343444032
1167476996225603
1221a197a8434768
139b77a67c0c533
1440c97cc536704
151b995bd70ed72
hexd196813b4240

230444343444032 has 56 divisors (see below), whose sum is σ = 463013651141280. Its totient is φ = 113782776560640.

The previous prime is 230444343443953. The next prime is 230444343444061.

230444343444032 is nontrivially palindromic in base 10.

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, 21220694 + ... + 30186197.

Almost surely, 2230444343444032 is an apocalyptic number.

It is an amenable number.

230444343444032 is an abundant number, since it is smaller than the sum of its proper divisors (232569307697248).

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

230444343444032 is an equidigital number, since it uses as much as digits as its factorization.

230444343444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51407779 (or 51407769 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 44.

The spelling of 230444343444032 in words is "two hundred thirty trillion, four hundred forty-four billion, three hundred forty-three million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 89 178 356 712 787 1424 1574 2848 3148 5696 6296 12592 25184 50368 70043 140086 280172 560344 1120688 2241376 4482752 51406891 102813782 205627564 411255128 822510256 1645020512 3290041024 4575213299 9150426598 18300853196 36601706392 40457223217 73203412784 80914446434 146406825568 161828892868 292813651136 323657785736 647315571472 1294631142944 2589262285888 3600692866313 7201385732626 14402771465252 28805542930504 57611085861008 115222171722016 230444343444032