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321426810144 = 25341111273387
BaseRepresentation
bin1001010110101101000…
…01111110010100100000
31010201122210020202120000
410223112201332110200
520231240230411034
6403354512020000
732136153543516
oct4532641762440
91121583222500
10321426810144
11114353066960
1252365231600
1324405cb10ab
14117b2b184b6
158563818599
hex4ad687e520

321426810144 has 120 divisors (see below), whose sum is σ = 1031244440688. Its totient is φ = 97402055040.

The previous prime is 321426810143. The next prime is 321426810163. The reversal of 321426810144 is 441018624123.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321426810099 and 321426810108.

It is not an unprimeable number, because it can be changed into a prime (321426810143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5608182 + ... + 5665205.

Almost surely, 2321426810144 is an apocalyptic number.

It is an amenable number.

321426810144 is an abundant number, since it is smaller than the sum of its proper divisors (709817630544).

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

321426810144 is a wasteful number, since it uses less digits than its factorization.

321426810144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11273420 (or 11273403 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 321426810144 in words is "three hundred twenty-one billion, four hundred twenty-six million, eight hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 11273387 22546774 33820161 45093548 67640322 90187096 101460483 124007257 135280644 180374192 202920966 248014514 270561288 304381449 360748384 372021771 405841932 496029028 541122576 608762898 744043542 811683864 913144347 992058056 1082245152 1116065313 1217525796 1488087084 1623367728 1826288694 1984116112 2232130626 2435051592 2976174168 3246735456 3348195939 3652577388 3968232224 4464261252 4870103184 5952348336 6696391878 7305154776 8928522504 9740206368 10044587817 11904696672 13392783756 14610309552 17857045008 20089175634 26785567512 29220619104 35714090016 40178351268 53571135024 80356702536 107142270048 160713405072 321426810144