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44126075136 = 2831113715659
BaseRepresentation
bin101001000110000111…
…100111100100000000
311012220012222212112010
4221012013213210000
51210332233401021
632134330532520
73121325310243
oct510607474400
9135805885463
1044126075136
11177940233a0
128675897140
134212b47140
1421c857d25a
151233d62976
hexa461e7900

44126075136 has 288 divisors, whose sum is σ = 139939107840. Its totient is φ = 12166963200.

The previous prime is 44126075111. The next prime is 44126075173. The reversal of 44126075136 is 63157062144.

It is a happy number.

It is a super-4 number, since 4×441260751364 (a number of 44 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 44126075094 and 44126075103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7794675 + ... + 7800333.

It is an arithmetic number, because the mean of its divisors is an integer number (485899680).

Almost surely, 244126075136 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 44126075136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69969553920).

44126075136 is an abundant number, since it is smaller than the sum of its proper divisors (95813032704).

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

44126075136 is a wasteful number, since it uses less digits than its factorization.

44126075136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5773 (or 5759 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 44126075136 in words is "forty-four billion, one hundred twenty-six million, seventy-five thousand, one hundred thirty-six".