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44418507840 = 263457241853
BaseRepresentation
bin101001010111100011…
…001010010001000000
311020122121020222210000
4221113203022101000
51211432114222330
632223334440000
73131506041600
oct512743122100
9136577228700
1044418507840
11179240a9413
128737803000
13425b5c5745
142215342c00
15124e879560
hexa578ca440

44418507840 has 840 divisors, whose sum is σ = 188504776152. Its totient is φ = 9893560320.

The previous prime is 44418507827. The next prime is 44418507869. The reversal of 44418507840 is 4870581444.

It can be written as a sum of positive squares in 4 ways, for example, as 2341011456 + 42077496384 = 48384^2 + 205128^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 52072854 + ... + 52073706.

Almost surely, 244418507840 is an apocalyptic number.

44418507840 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 44418507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94252388076).

44418507840 is an abundant number, since it is smaller than the sum of its proper divisors (144086268312).

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

44418507840 is a wasteful number, since it uses less digits than its factorization.

44418507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 44418507840 in words is "forty-four billion, four hundred eighteen million, five hundred seven thousand, eight hundred forty".