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44157230964 = 2232711431272917
BaseRepresentation
bin101001000111111110…
…011101111101110100
311012222101121202021200
4221013332131331310
51210413222342324
632141402412500
73122154161460
oct510776357564
9135871552250
1044157230964
11177aa673210
128684201130
134219435242
1421cc76d4a0
151236968ec9
hexa47f9df74

44157230964 has 288 divisors, whose sum is σ = 143568961536. Its totient is φ = 11110659840.

The previous prime is 44157230963. The next prime is 44157230987. The reversal of 44157230964 is 46903275144.

44157230964 is a `hidden beast` number, since 4 + 41 + 572 + 30 + 9 + 6 + 4 = 666.

It is a super-2 number, since 2×441572309642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44157230963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15136434 + ... + 15139350.

Almost surely, 244157230964 is an apocalyptic number.

44157230964 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 44157230964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71784480768).

44157230964 is an abundant number, since it is smaller than the sum of its proper divisors (99411730572).

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

44157230964 is a wasteful number, since it uses less digits than its factorization.

44157230964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3110 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 44157230964 in words is "forty-four billion, one hundred fifty-seven million, two hundred thirty thousand, nine hundred sixty-four".