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44413140096 = 2732136744263
BaseRepresentation
bin101001010111001110…
…101011110010000000
311020122020011021121200
4221113032223302000
51211424230440341
632223023421200
73131412314313
oct512716536200
9136566137550
1044413140096
1117921072566
128735a54800
13425a466470
14221474697a
15124e168db6
hexa573abc80

44413140096 has 192 divisors, whose sum is σ = 139691872320. Its totient is φ = 13461313536.

The previous prime is 44413140077. The next prime is 44413140127. The reversal of 44413140096 is 69004131444.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 44413140096.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981261 + ... + 1025523.

It is an arithmetic number, because the mean of its divisors is an integer number (727561835).

Almost surely, 244413140096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44413140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69845936160).

44413140096 is an abundant number, since it is smaller than the sum of its proper divisors (95278732224).

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

44413140096 is a wasteful number, since it uses less digits than its factorization.

44413140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44363 (or 44348 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 44413140096 in words is "forty-four billion, four hundred thirteen million, one hundred forty thousand, ninety-six".