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44147049408 = 26337211231139
BaseRepresentation
bin101001000111010111…
…101000001111000000
311012221200110110211000
4221013113220033000
51210403121040113
632140400252000
73122001504600
oct510727501700
9135850413730
1044147049408
11177a4949700
128680911000
1342172abb57
1421cb27cc00
151235b07373
hexa475e83c0

44147049408 has 1008 divisors, whose sum is σ = 172531430400. Its totient is φ = 11017036800.

The previous prime is 44147049379. The next prime is 44147049431. The reversal of 44147049408 is 80494074144.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 317604603 + ... + 317604741.

Almost surely, 244147049408 is an apocalyptic number.

44147049408 is a gapful number since it is divisible by the number (48) 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 44147049408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86265715200).

44147049408 is an abundant number, since it is smaller than the sum of its proper divisors (128384380992).

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

44147049408 is a wasteful number, since it uses less digits than its factorization.

44147049408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 44147049408 in words is "forty-four billion, one hundred forty-seven million, forty-nine thousand, four hundred eight".