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44842308840 = 23325729372713
BaseRepresentation
bin101001110000110011…
…110101010011101000
311021202010201022110100
4221300303311103220
51213314112340330
632333354145400
73145143223200
oct516063652350
9137663638410
1044842308840
111802135037a
128835722260
1342c834b574
142255741400
151276b90060
hexa70cf54e8

44842308840 has 288 divisors, whose sum is σ = 169774867080. Its totient is φ = 10234957824.

The previous prime is 44842308827. The next prime is 44842308853. The reversal of 44842308840 is 4880324844.

44842308840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44842308827) and next prime (44842308853).

It can be written as a sum of positive squares in 4 ways, for example, as 37863711396 + 6978597444 = 194586^2 + 83538^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16527324 + ... + 16530036.

Almost surely, 244842308840 is an apocalyptic number.

44842308840 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 44842308840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84887433540).

44842308840 is an abundant number, since it is smaller than the sum of its proper divisors (124932558240).

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

44842308840 is a wasteful number, since it uses less digits than its factorization.

44842308840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3667 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 44842308840 in words is "forty-four billion, eight hundred forty-two million, three hundred eight thousand, eight hundred forty".