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44098660144 = 24721117312313
BaseRepresentation
bin101001000100011111…
…000010011100110000
311012211022102001020001
4221010133002130300
51210303224111034
632131511155344
73120543266200
oct510437023460
9135738361201
1044098660144
111777a5a9080
128668675b54
13420a268956
1421c4a84400
151231749a14
hexa447c2730

44098660144 has 360 divisors, whose sum is σ = 119006092944. Its totient is φ = 15599001600.

The previous prime is 44098660057. The next prime is 44098660153. The reversal of 44098660144 is 44106689044.

It is a junction number, because it is equal to n+sod(n) for n = 44098660094 and 44098660103.

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, 140890132 + ... + 140890444.

Almost surely, 244098660144 is an apocalyptic number.

44098660144 is a gapful number since it is divisible by the number (44) 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 44098660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59503046472).

44098660144 is an abundant number, since it is smaller than the sum of its proper divisors (74907432800).

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

44098660144 is a wasteful number, since it uses less digits than its factorization.

44098660144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The spelling of 44098660144 in words is "forty-four billion, ninety-eight million, six hundred sixty thousand, one hundred forty-four".