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23440969728 = 21235112141
BaseRepresentation
bin10101110101001100…
…001101000000000000
32020111122022122100000
4111311030031000000
5341001342012403
614434005200000
71456613645421
oct256514150000
966448278300
1023440969728
119a398a8560
124662400000
1322975467b7
1411c52b9648
15922db77a3
hex57530d000

23440969728 has 312 divisors, whose sum is σ = 76637092896. Its totient is φ = 7100006400.

The previous prime is 23440969711. The next prime is 23440969781. The reversal of 23440969728 is 82796904432.

23440969728 is a `hidden beast` number, since 2 + 3 + 440 + 96 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10947538 + ... + 10949678.

It is an arithmetic number, because the mean of its divisors is an integer number (245631708).

Almost surely, 223440969728 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 23440969728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38318546448).

23440969728 is an abundant number, since it is smaller than the sum of its proper divisors (53196123168).

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

23440969728 is an equidigital number, since it uses as much as digits as its factorization.

23440969728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23440969728 in words is "twenty-three billion, four hundred forty million, nine hundred sixty-nine thousand, seven hundred twenty-eight".