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24320714401 = 27725632
BaseRepresentation
bin10110101001101000…
…001010011010100001
32022202221201022011001
4112221220022122201
5344302100330101
615101153152001
71520455442614
oct265150123241
968687638131
1024320714401
11a350455775
124868b5b601
1323a789a789
14126a08217b
15975242901
hex5a9a0a6a1

24320714401 has 9 divisors (see below), whose sum is σ = 24452263731. Its totient is φ = 24189871512.

The previous prime is 24320714389. The next prime is 24320714447. The reversal of 24320714401 is 10441702342.

The square root of 24320714401 is 155951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4191915025 + 20128799376 = 64745^2 + 141876^2 .

It is not a de Polignac number, because 24320714401 - 215 = 24320681633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 24320714401.

It is not an unprimeable number, because it can be changed into a prime (24320714461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43198146 + ... + 43198708.

Almost surely, 224320714401 is an apocalyptic number.

24320714401 is the 155951-st square number.

24320714401 is the 77976-th centered octagonal number.

It is an amenable number.

24320714401 is a deficient number, since it is larger than the sum of its proper divisors (131549330).

24320714401 is an frugal number, since it uses more digits than its factorization.

24320714401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 24320714401 in words is "twenty-four billion, three hundred twenty million, seven hundred fourteen thousand, four hundred one".

Divisors: 1 277 563 76729 155951 316969 43198427 87800413 24320714401