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321413306432 = 26231731262147
BaseRepresentation
bin1001010110101011011…
…10011101100001000000
31010201121211211200221112
410223111232131201000
520231223301301212
6403353310342452
732135631012221
oct4532556354100
91121554750845
10321413306432
11114346483369
12523607baa28
132440326382a
14117b1001248
15856254c422
hex4ad5b9d840

321413306432 has 56 divisors (see below), whose sum is σ = 669382716096. Its totient is φ = 152830734848.

The previous prime is 321413306429. The next prime is 321413306449. The reversal of 321413306432 is 234603314123.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 376418 + ... + 885729.

Almost surely, 2321413306432 is an apocalyptic number.

321413306432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

321413306432 is an abundant number, since it is smaller than the sum of its proper divisors (347969409664).

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

321413306432 is a wasteful number, since it uses less digits than its factorization.

321413306432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262355 (or 1262345 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 321413306432 in words is "three hundred twenty-one billion, four hundred thirteen million, three hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 173 184 346 368 692 736 1384 1472 2768 3979 5536 7958 11072 15916 31832 63664 127328 254656 1262147 2524294 5048588 10097176 20194352 29029381 40388704 58058762 80777408 116117524 218351431 232235048 436702862 464470096 873405724 928940192 1746811448 1857880384 3493622896 5022082913 6987245792 10044165826 13974491584 20088331652 40176663304 80353326608 160706653216 321413306432