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14165522361 = 329724092
BaseRepresentation
bin11010011000101010…
…01011011110111001
31100120012221002120100
431030111023132321
5213002333203421
610301344150013
71011014645004
oct151425133671
940505832510
1014165522361
11600a082681
1228b4008309
1314499b40c3
1498548253b
1557d92bc26
hex34c54b7b9

14165522361 has 27 divisors (see below), whose sum is σ = 20725098381. Its totient is φ = 9323472384.

The previous prime is 14165522359. The next prime is 14165522363. The reversal of 14165522361 is 16322556141.

The square root of 14165522361 is 119019.

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

14165522361 is a `hidden beast` number, since 1 + 41 + 6 + 552 + 2 + 3 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (14165522359) and next prime (14165522363).

It can be written as a sum of positive squares in 4 ways, for example, as 2532605625 + 11632916736 = 50325^2 + 107856^2 .

It is not a de Polignac number, because 14165522361 - 21 = 14165522359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14165522363) 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 26 ways as a sum of consecutive naturals, for example, 34634325 + ... + 34634733.

Almost surely, 214165522361 is an apocalyptic number.

14165522361 is the 119019-th square number.

14165522361 is the 59510-th centered octagonal number.

It is an amenable number.

14165522361 is a deficient number, since it is larger than the sum of its proper divisors (6559576020).

14165522361 is an frugal number, since it uses more digits than its factorization.

14165522361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

Multiplying 14165522361 by its sum of digits (36), we get a square (509958804996 = 7141142).

The spelling of 14165522361 in words is "fourteen billion, one hundred sixty-five million, five hundred twenty-two thousand, three hundred sixty-one".

Divisors: 1 3 9 97 291 409 873 1227 3681 9409 28227 39673 84681 119019 167281 357057 501843 1505529 3848281 11544843 16226257 34634529 48678771 146036313 1573946929 4721840787 14165522361