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14165256141 = 321573917349
BaseRepresentation
bin11010011000101000…
…01010011111001101
31100120012102120101100
431030110022133031
5213002301144031
610301334333313
71011012455601
oct151424123715
940505376340
1014165256141
116009a10663
1228b3aba239
13144991cb8a
14985413501
1557d8c7de6
hex34c50a7cd

14165256141 has 6 divisors (see below), whose sum is σ = 20460925550. Its totient is φ = 9443504088.

The previous prime is 14165256121. The next prime is 14165256151.

14165256141 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 52 + 561 + 41 = 666.

14165256141 is nontrivially palindromic in base 10.

14165256141 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., 11243421225 + 2921834916 = 106035^2 + 54054^2 .

It is not a de Polignac number, because 14165256141 - 27 = 14165256013 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14165256096 and 14165256105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14165256121) 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 5 ways as a sum of consecutive naturals, for example, 786958666 + ... + 786958683.

Almost surely, 214165256141 is an apocalyptic number.

It is an amenable number.

14165256141 is a deficient number, since it is larger than the sum of its proper divisors (6295669409).

14165256141 is a wasteful number, since it uses less digits than its factorization.

14165256141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573917355 (or 1573917352 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 14165256141 in words is "fourteen billion, one hundred sixty-five million, two hundred fifty-six thousand, one hundred forty-one".

Divisors: 1 3 9 1573917349 4721752047 14165256141