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44848243440 = 243257112135657
BaseRepresentation
bin101001110001001010…
…011110001011110000
311021202112212211012100
4221301022132023300
51213322122242230
632334125300400
73145244531220
oct516112361360
9137675784170
1044848243440
1118024734100
128837704700
1342c9648870
142256448080
151277463660
hexa7129e2f0

44848243440 has 720 divisors, whose sum is σ = 203792831424. Its totient is φ = 8600739840.

The previous prime is 44848243411. The next prime is 44848243483. The reversal of 44848243440 is 4434284844.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×448482434402 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7925092 + ... + 7930748.

Almost surely, 244848243440 is an apocalyptic number.

44848243440 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 44848243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101896415712).

44848243440 is an abundant number, since it is smaller than the sum of its proper divisors (158944587984).

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

44848243440 is a wasteful number, since it uses less digits than its factorization.

44848243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 45.

The spelling of 44848243440 in words is "forty-four billion, eight hundred forty-eight million, two hundred forty-three thousand, four hundred forty".