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442131410655564 = 223733442115739051
BaseRepresentation
bin110010010000111011011110…
…1101011010001100101001100
32010222110100110012100221200120
41210201312331223101211030
5430422340112111434224
64204200211022424540
7162061640343444060
oct14441667553214514
92128410405327616
10442131410655564
11118970972a78023
1241708042a32150
1315c91a75590c26
147b273bb165aa0
15361acbc938779
hex1921dbdad194c

442131410655564 has 48 divisors (see below), whose sum is σ = 1179020695539456. Its totient is φ = 126322874424000.

The previous prime is 442131410655481. The next prime is 442131410655581. The reversal of 442131410655564 is 465556014131244.

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, 20221839 + ... + 35960889.

It is an arithmetic number, because the mean of its divisors is an integer number (24562931157072).

Almost surely, 2442131410655564 is an apocalyptic number.

It is an amenable number.

442131410655564 is an abundant number, since it is smaller than the sum of its proper divisors (736889284883892).

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

442131410655564 is a wasteful number, since it uses less digits than its factorization.

442131410655564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16073486 (or 16073484 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 51.

The spelling of 442131410655564 in words is "four hundred forty-two trillion, one hundred thirty-one billion, four hundred ten million, six hundred fifty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 334421 668842 1003263 1337684 2006526 2340947 4013052 4681894 7022841 9363788 14045682 15739051 28091364 31478102 47217153 62956204 94434306 110173357 188868612 220346714 330520071 440693428 661040142 1322080284 5263469174471 10526938348942 15790407523413 21053876697884 31580815046826 36844284221297 63161630093652 73688568442594 110532852663891 147377136885188 221065705327782 442131410655564