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23980240447488 = 2113213175886929
BaseRepresentation
bin1010111001111010101011…
…01101101010100000000000
310010220111012012001221021200
411130331111231222200000
511120343013023304423
6123000212000221200
75023341466426143
oct534752555524000
9103814165057250
1023980240447488
117705a65629416
12283364600a800
13104c433481260
145cc9151c605a
152b8bab26dd43
hex15cf55b6a800

23980240447488 has 288 divisors, whose sum is σ = 78974461074600. Its totient is φ = 6944502841344.

The previous prime is 23980240447481. The next prime is 23980240447489. The reversal of 23980240447488 is 88474404208932.

23980240447488 is a `hidden beast` number, since 2 + 3 + 9 + 80 + 2 + 4 + 0 + 4 + 474 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13038223279104 + 10942017168384 = 3610848^2 + 3307872^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (23980240447481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130008 + ... + 7016936.

Almost surely, 223980240447488 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 23980240447488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39487230537300).

23980240447488 is an abundant number, since it is smaller than the sum of its proper divisors (54994220627112).

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

23980240447488 is a wasteful number, since it uses less digits than its factorization.

23980240447488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886987 (or 5886964 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 23980240447488 in words is "twenty-three trillion, nine hundred eighty billion, two hundred forty million, four hundred forty-seven thousand, four hundred eighty-eight".