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540252355344 = 243131329165141
BaseRepresentation
bin1111101110010011000…
…11001011101100010000
31220122111010010020012020
413313021203023230100
532322414100332334
61052104414531440
754013646152122
oct7671143135420
91818433106166
10540252355344
11199135408879
1288855506b80
133bc3a588b10
141c211121212
15e0be866e49
hex7dc98cbb10

540252355344 has 80 divisors (see below), whose sum is σ = 1503145917504. Its totient is φ = 166216435200.

The previous prime is 540252355303. The next prime is 540252355369. The reversal of 540252355344 is 443553252045.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 540252355296 and 540252355305.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8261014 + ... + 8326154.

Almost surely, 2540252355344 is an apocalyptic number.

It is an amenable number.

540252355344 is an abundant number, since it is smaller than the sum of its proper divisors (962893562160).

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

540252355344 is a wasteful number, since it uses less digits than its factorization.

540252355344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78456 (or 78450 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 540252355344 in words is "five hundred forty billion, two hundred fifty-two million, three hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 13291 26582 39873 53164 65141 79746 106328 130282 159492 172783 195423 212656 260564 318984 345566 390846 518349 521128 637968 691132 781692 846833 1036698 1042256 1382264 1563384 1693666 2073396 2540499 2764528 3126768 3387332 4146792 5080998 6774664 8293584 10161996 13549328 20323992 40647984 865789031 1731578062 2597367093 3463156124 5194734186 6926312248 10389468372 11255257403 13852624496 20778936744 22510514806 33765772209 41557873488 45021029612 67531544418 90042059224 135063088836 180084118448 270126177672 540252355344