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44411240640 = 26351317353593
BaseRepresentation
bin101001010111000111…
…011100000011000000
311020122002120210001110
4221113013130003000
51211423234200030
632222515003320
73131360213454
oct512707340300
9136562523043
1044411240640
111791aa95468
128735299540
134259c4ca20
1422143b0664
15124dde11b0
hexa571dc0c0

44411240640 has 448 divisors, whose sum is σ = 161512154496. Its totient is φ = 10242490368.

The previous prime is 44411240617. The next prime is 44411240641. The reversal of 44411240640 is 4604211444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44411240598 and 44411240607.

It is not an unprimeable number, because it can be changed into a prime (44411240641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74892184 + ... + 74892776.

It is an arithmetic number, because the mean of its divisors is an integer number (360518202).

Almost surely, 244411240640 is an apocalyptic number.

44411240640 is a gapful number since it is divisible by the number (40) 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 44411240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80756077248).

44411240640 is an abundant number, since it is smaller than the sum of its proper divisors (117100913856).

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

44411240640 is a wasteful number, since it uses less digits than its factorization.

44411240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 44411240640 in words is "forty-four billion, four hundred eleven million, two hundred forty thousand, six hundred forty".