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442071239616 = 2632767484791
BaseRepresentation
bin1100110111011010111…
…11111100101111000000
31120021001201000210002200
412123231133330233000
524220330214131431
6535030144513200
743636636352166
oct6335537745700
91507051023080
10442071239616
11160532765416
127181491b800
13328c184ba76
1417579891236
15b775165ee6
hex66ed7fcbc0

442071239616 has 42 divisors (see below), whose sum is σ = 1267117391592. Its totient is φ = 147357079680.

The previous prime is 442071239611. The next prime is 442071239627. The reversal of 442071239616 is 616932170244.

442071239616 is a `hidden beast` number, since 4 + 4 + 2 + 0 + 7 + 1 + 23 + 9 + 616 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442071239611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 383741820 + ... + 383742971.

Almost surely, 2442071239616 is an apocalyptic number.

It is an amenable number.

442071239616 is an abundant number, since it is smaller than the sum of its proper divisors (825046151976).

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

442071239616 is a wasteful number, since it uses less digits than its factorization.

442071239616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767484809 (or 767484796 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 442071239616 in words is "four hundred forty-two billion, seventy-one million, two hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 767484791 1534969582 2302454373 3069939164 4604908746 6139878328 6907363119 9209817492 12279756656 13814726238 18419634984 24559513312 27629452476 36839269968 49119026624 55258904952 73678539936 110517809904 147357079872 221035619808 442071239616