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44008538112 = 216337111719
BaseRepresentation
bin101000111111000111…
…010000000000000000
311012121000211101001000
4220333013100000000
51210112141204422
632114531412000
73115400254560
oct507707200000
9135530741030
1044008538112
1117733744060
128642454000
1341c46a32c6
1421b6b04da0
151228896cac
hexa3f1d0000

44008538112 has 1088 divisors, whose sum is σ = 181192550400. Its totient is φ = 10192158720.

The previous prime is 44008538111. The next prime is 44008538141. The reversal of 44008538112 is 21183580044.

44008538112 is a `hidden beast` number, since 4 + 4 + 0 + 0 + 8 + 538 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (1088).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44008538111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2316238839 + ... + 2316238857.

Almost surely, 244008538112 is an apocalyptic number.

44008538112 is a gapful number since it is divisible by the number (42) 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 44008538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90596275200).

44008538112 is an abundant number, since it is smaller than the sum of its proper divisors (137184012288).

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

44008538112 is a wasteful number, since it uses less digits than its factorization.

44008538112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

It can be divided in two parts, 4400853 and 8112, that added together give a triangular number (4408965 = T2969).

The spelling of 44008538112 in words is "forty-four billion, eight million, five hundred thirty-eight thousand, one hundred twelve".