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44098928640 = 2143251343107
BaseRepresentation
bin101001000100100000…
…000100000000000000
311012211022220200112100
4221010200010000000
51210303311204030
632131521030400
73120545465034
oct510440040000
9135738820470
1044098928640
111777a771878
128668785400
13420a330c20
1421c4b141c4
15123179e360
hexa44804000

44098928640 has 720 divisors, whose sum is σ = 170033992128. Its totient is φ = 10503585792.

The previous prime is 44098928623. The next prime is 44098928711. The reversal of 44098928640 is 4682989044.

44098928640 is a `hidden beast` number, since 440 + 9 + 89 + 2 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412139467 + ... + 412139573.

Almost surely, 244098928640 is an apocalyptic number.

44098928640 is a gapful number since it is divisible by the number (40) 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 44098928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85016996064).

44098928640 is an abundant number, since it is smaller than the sum of its proper divisors (125935063488).

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

44098928640 is a wasteful number, since it uses less digits than its factorization.

44098928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 44098928640 in words is "forty-four billion, ninety-eight million, nine hundred twenty-eight thousand, six hundred forty".