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44426897424 = 243272134111813
BaseRepresentation
bin101001011000000011…
…001010100000010000
311020200012001020010100
4221120003022200100
51211441241204144
632224234332400
73131640253200
oct513003124020
9136605036110
1044426897424
1117928909658
12873a58a100
1342602722b0
1422164c8400
151250485269
hexa580ca810

44426897424 has 360 divisors, whose sum is σ = 159571083672. Its totient is φ = 11430236160.

The previous prime is 44426897381. The next prime is 44426897429. The reversal of 44426897424 is 42479862444.

It can be written as a sum of positive squares in 4 ways, for example, as 854509824 + 43572387600 = 29232^2 + 208740^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44426897429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3754942 + ... + 3766754.

Almost surely, 244426897424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44426897424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79785541836).

44426897424 is an abundant number, since it is smaller than the sum of its proper divisors (115144186248).

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

44426897424 is a wasteful number, since it uses less digits than its factorization.

44426897424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11879 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 44426897424 in words is "forty-four billion, four hundred twenty-six million, eight hundred ninety-seven thousand, four hundred twenty-four".