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44013043872 = 2534729233359
BaseRepresentation
bin101000111111011000…
…011100000010100000
311012121100022021210000
4220333120130002200
51210114314400442
632115212140000
73115453462110
oct507730340240
9135540267700
1044013043872
1117736241326
128643a67600
1341c55c0135
1421b7559040
151228e86d4c
hexa3f61c0a0

44013043872 has 480 divisors, whose sum is σ = 154118764800. Its totient is φ = 12055744512.

The previous prime is 44013043807. The next prime is 44013043873. The reversal of 44013043872 is 27834031044.

44013043872 is a `hidden beast` number, since 440 + 130 + 4 + 3 + 87 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (44013043873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122598829 + ... + 122599187.

It is an arithmetic number, because the mean of its divisors is an integer number (321080760).

Almost surely, 244013043872 is an apocalyptic number.

44013043872 is a gapful number since it is divisible by the number (42) 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 44013043872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77059382400).

44013043872 is an abundant number, since it is smaller than the sum of its proper divisors (110105720928).

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

44013043872 is a wasteful number, since it uses less digits than its factorization.

44013043872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 44013043872 in words is "forty-four billion, thirteen million, forty-three thousand, eight hundred seventy-two".