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944039113920 = 263257101541857
BaseRepresentation
bin11011011110011010001…
…11011011010011000000
310100020201201010212101200
431233031013123103000
5110431343003121140
62001404030301200
7125130112032450
oct15571507332300
93306651125350
10944039113920
11334401517a11
12132b64957800
136b03a5a64b6
14339981a9d60
1519853913030
hexdbcd1db4c0

944039113920 has 672 divisors, whose sum is σ = 3759023638656. Its totient is φ = 213000192000.

The previous prime is 944039113891. The next prime is 944039113921. The reversal of 944039113920 is 29311930449.

944039113920 is a `hidden beast` number, since 9 + 4 + 403 + 91 + 139 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9440391139202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (944039113921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1101562132 + ... + 1101562988.

Almost surely, 2944039113920 is an apocalyptic number.

944039113920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 944039113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879511819328).

944039113920 is an abundant number, since it is smaller than the sum of its proper divisors (2814984524736).

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

944039113920 is a wasteful number, since it uses less digits than its factorization.

944039113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 944039113920 in words is "nine hundred forty-four billion, thirty-nine million, one hundred thirteen thousand, nine hundred twenty".