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44544339840 = 2735731121343
BaseRepresentation
bin101001011111000011…
…001010111110000000
311020222101000220211110
4221133003022332000
51212211322333330
632244031443320
73134564433000
oct513703127600
9136871026743
1044544339840
1117989133900
128771986540
13427b6b2050
142227d3a000
15125a932db0
hexa5f0caf80

44544339840 has 1536 divisors, whose sum is σ = 200559744000. Its totient is φ = 8345272320.

The previous prime is 44544339839. The next prime is 44544339863. The reversal of 44544339840 is 4893344544.

It is a super-2 number, since 2×445443398402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44544339840.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1035914859 + ... + 1035914901.

It is an arithmetic number, because the mean of its divisors is an integer number (130572750).

Almost surely, 244544339840 is an apocalyptic number.

44544339840 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 44544339840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100279872000).

44544339840 is an abundant number, since it is smaller than the sum of its proper divisors (156015404160).

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

44544339840 is a wasteful number, since it uses less digits than its factorization.

44544339840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 44544339840 in words is "forty-four billion, five hundred forty-four million, three hundred thirty-nine thousand, eight hundred forty".