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444688885376 = 2717204360701
BaseRepresentation
bin1100111100010011000…
…01011110011010000000
31120111211010120222000122
412132021201132122000
524241210323313001
6540142014035412
744061543105401
oct6361141363200
91514733528018
10444688885376
1116165631241a
12722254a8b68
1332c1ac5c698
14177473a79a8
15b879d7eb1b
hex678985e680

444688885376 has 32 divisors (see below), whose sum is σ = 938015622180. Its totient is φ = 209265356800.

The previous prime is 444688885339. The next prime is 444688885429. The reversal of 444688885376 is 673588886444.

It can be written as a sum of positive squares in 2 ways, for example, as 384945793600 + 59743091776 = 620440^2 + 244424^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4446888853762 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102178175 + ... + 102182526.

Almost surely, 2444688885376 is an apocalyptic number.

It is an amenable number.

444688885376 is an abundant number, since it is smaller than the sum of its proper divisors (493326736804).

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

444688885376 is a wasteful number, since it uses less digits than its factorization.

444688885376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204360732 (or 204360720 counting only the distinct ones).

The product of its digits is 990904320, while the sum is 71.

The spelling of 444688885376 in words is "four hundred forty-four billion, six hundred eighty-eight million, eight hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 204360701 408721402 817442804 1634885608 3269771216 3474131917 6539542432 6948263834 13079084864 13896527668 26158169728 27793055336 55586110672 111172221344 222344442688 444688885376