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44492007120 = 243511433371163
BaseRepresentation
bin101001011011111011…
…100010011011010000
311020211201120010211120
4221123323202123100
51212104423211440
632234522042240
73133360551321
oct513373423320
9136751503746
1044492007120
111796163a520
128758349380
1342708bac42
142220dd6448
151256046dd0
hexa5bee26d0

44492007120 has 320 divisors, whose sum is σ = 154552679424. Its totient is φ = 10494812160.

The previous prime is 44492007101. The next prime is 44492007151. The reversal of 44492007120 is 2170029444.

It is a super-2 number, since 2×444920071202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38255659 + ... + 38256821.

Almost surely, 244492007120 is an apocalyptic number.

44492007120 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 44492007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77276339712).

44492007120 is an abundant number, since it is smaller than the sum of its proper divisors (110060672304).

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

44492007120 is a wasteful number, since it uses less digits than its factorization.

44492007120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 44492007120 in words is "forty-four billion, four hundred ninety-two million, seven thousand, one hundred twenty".