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115332925440 = 2113516722481
BaseRepresentation
bin110101101101001100…
…0001100100000000000
3102000200202020122210010
41223122120030200000
53342200212103230
6124552212504520
711222025456015
oct1533230144000
9360622218703
10115332925440
1144a0447aa07
121a42891b140
13ab50313ca5
14582158970c
1530003b39b0
hex1ada60c800

115332925440 has 192 divisors, whose sum is σ = 371201201280. Its totient is φ = 30569922560.

The previous prime is 115332925429. The next prime is 115332925469. The reversal of 115332925440 is 44529233511.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5119000 + ... + 5141480.

It is an arithmetic number, because the mean of its divisors is an integer number (1933339590).

Almost surely, 2115332925440 is an apocalyptic number.

115332925440 is a gapful number since it is divisible by the number (10) 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 115332925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185600600640).

115332925440 is an abundant number, since it is smaller than the sum of its proper divisors (255868275840).

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

115332925440 is a wasteful number, since it uses less digits than its factorization.

115332925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22678 (or 22658 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 115332925440 in words is "one hundred fifteen billion, three hundred thirty-two million, nine hundred twenty-five thousand, four hundred forty".