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442312134660 = 2232511223389967
BaseRepresentation
bin1100110111110111101…
…10111001000000000100
31120021200111022111222100
412123323312321000010
524221323401302120
6535110112032100
743645623053124
oct6337366710004
91507614274870
10442312134660
1116064673a430
1271881532630
133292c724106
141759d87ac84
15b78b39c490
hex66fbdb9004

442312134660 has 72 divisors (see below), whose sum is σ = 1463651070336. Its totient is φ = 107227183680.

The previous prime is 442312134623. The next prime is 442312134689. The reversal of 442312134660 is 66431213244.

442312134660 is a `hidden beast` number, since 4 + 4 + 231 + 21 + 346 + 60 = 666.

442312134660 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111693004 + ... + 111696963.

It is an arithmetic number, because the mean of its divisors is an integer number (20328487088).

Almost surely, 2442312134660 is an apocalyptic number.

It is an amenable number.

442312134660 is an abundant number, since it is smaller than the sum of its proper divisors (1021338935676).

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

442312134660 is a wasteful number, since it uses less digits than its factorization.

442312134660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223389993 (or 223389988 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 442312134660 in words is "four hundred forty-two billion, three hundred twelve million, one hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 223389967 446779934 670169901 893559868 1116949835 1340339802 2010509703 2233899670 2457289637 2680679604 3350849505 4021019406 4467799340 4914579274 6701699010 7371868911 8042038812 9829158548 10052548515 12286448185 13403398020 14743737822 20105097030 22115606733 24572896370 29487475644 36859344555 40210194060 44231213466 49145792740 73718689110 88462426932 110578033665 147437378220 221156067330 442312134660