Search a number
-
+
23140364729 is a prime number
BaseRepresentation
bin10101100011010001…
…011111000110111001
32012201200200022210112
4111203101133012321
5334342413132404
614344110154105
71446303566126
oct254321370671
965650608715
1023140364729
1198a5150579
1245997b2935
13224a196511
1411973c974d
159067d956e
hex56345f1b9

23140364729 has 2 divisors, whose sum is σ = 23140364730. Its totient is φ = 23140364728.

The previous prime is 23140364713. The next prime is 23140364813. The reversal of 23140364729 is 92746304132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11972736400 + 11167628329 = 109420^2 + 105677^2 .

It is a cyclic number.

It is not a de Polignac number, because 23140364729 - 24 = 23140364713 is a prime.

It is a super-2 number, since 2×231403647292 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23140064729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11570182364 + 11570182365.

It is an arithmetic number, because the mean of its divisors is an integer number (11570182365).

Almost surely, 223140364729 is an apocalyptic number.

It is an amenable number.

23140364729 is a deficient number, since it is larger than the sum of its proper divisors (1).

23140364729 is an equidigital number, since it uses as much as digits as its factorization.

23140364729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 41.

The spelling of 23140364729 in words is "twenty-three billion, one hundred forty million, three hundred sixty-four thousand, seven hundred twenty-nine".