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14213646841 = 17270132
BaseRepresentation
bin11010011110011001…
…10000100111111001
31100200120111001221111
431033030300213321
5213102143144331
610310223440321
71012141001422
oct151714604771
940616431844
1014213646841
116034262279
1229081560a1
131456963924
1498ba0c649
15582c85db1
hex34f3309f9

14213646841 has 9 divisors (see below), whose sum is σ = 15101079181. Its totient is φ = 13375642432.

The previous prime is 14213646827. The next prime is 14213646907. The reversal of 14213646841 is 14864631241.

The square root of 14213646841 is 119221.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5508756841 + 8704890000 = 74221^2 + 93300^2 .

It is not a de Polignac number, because 14213646841 - 229 = 13676775929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14213646794 and 14213646803.

It is not an unprimeable number, because it can be changed into a prime (14213646241) 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 in 8 ways as a sum of consecutive naturals, for example, 2023251 + ... + 2030263.

Almost surely, 214213646841 is an apocalyptic number.

14213646841 is the 119221-st square number.

14213646841 is the 59611-st centered octagonal number.

It is an amenable number.

14213646841 is a deficient number, since it is larger than the sum of its proper divisors (887432340).

14213646841 is an frugal number, since it uses more digits than its factorization.

14213646841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14060 (or 7030 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The spelling of 14213646841 in words is "fourteen billion, two hundred thirteen million, six hundred forty-six thousand, eight hundred forty-one".

Divisors: 1 17 289 7013 119221 2026757 49182169 836096873 14213646841