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14249435641 = 72170532
BaseRepresentation
bin11010100010101010…
…10010000111111001
31100210001211022221121
431101111102013321
5213140323420031
610313542505241
71013054130100
oct152125220771
940701738847
1014249435641
1160524869a1
122918135221
1314611b472c
14992687037
15585ea5011
hex3515521f9

14249435641 has 9 divisors (see below), whose sum is σ = 16576846191. Its totient is φ = 12213085752.

The previous prime is 14249435639. The next prime is 14249435653. The reversal of 14249435641 is 14653494241.

The square root of 14249435641 is 119371.

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

14249435641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5223675625 + 9025760016 = 72275^2 + 95004^2 .

It is not a de Polignac number, because 14249435641 - 21 = 14249435639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14249435441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 827071 + ... + 844123.

It is an arithmetic number, because the mean of its divisors is an integer number (1841871799).

Almost surely, 214249435641 is an apocalyptic number.

14249435641 is the 119371-st square number.

14249435641 is the 59686-th centered octagonal number.

It is an amenable number.

14249435641 is a deficient number, since it is larger than the sum of its proper divisors (2327410550).

14249435641 is an frugal number, since it uses more digits than its factorization.

14249435641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34120 (or 17060 counting only the distinct ones).

The product of its digits is 414720, while the sum is 43.

The spelling of 14249435641 in words is "fourteen billion, two hundred forty-nine million, four hundred thirty-five thousand, six hundred forty-one".

Divisors: 1 7 49 17053 119371 835597 290804809 2035633663 14249435641