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44742995640 = 233257217314813
BaseRepresentation
bin101001101010111000…
…111110111010111000
311021111012211200100200
4221222320332322320
51213113201330030
632315445402200
73142526121300
oct515270767270
9137435750320
1044742995640
1117a80288952
128808409360
1342b08b8565
14224648c600
15126d0c3d60
hexa6ae3eeb8

44742995640 has 576 divisors, whose sum is σ = 184922300160. Its totient is φ = 9312952320.

The previous prime is 44742995617. The next prime is 44742995641. The reversal of 44742995640 is 4659924744.

44742995640 is a `hidden beast` number, since 4 + 4 + 74 + 2 + 9 + 9 + 564 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44742995641) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9293874 + ... + 9298686.

It is an arithmetic number, because the mean of its divisors is an integer number (321045660).

Almost surely, 244742995640 is an apocalyptic number.

44742995640 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 44742995640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461150080).

44742995640 is an abundant number, since it is smaller than the sum of its proper divisors (140179304520).

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

44742995640 is a wasteful number, since it uses less digits than its factorization.

44742995640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 44742995640 in words is "forty-four billion, seven hundred forty-two million, nine hundred ninety-five thousand, six hundred forty".