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14310754241 = 721765326309
BaseRepresentation
bin11010101001111110…
…01100011111000001
31100221100012122020212
431110333030133001
5213302023113431
610324013043505
71014430255400
oct152477143701
940840178225
1014310754241
116084058523
122934786595
131470b03924
1499a889637
1558b56872b
hex354fcc7c1

14310754241 has 24 divisors (see below), whose sum is σ = 17654115240. Its totient is φ = 11526692352.

The previous prime is 14310754219. The next prime is 14310754273. The reversal of 14310754241 is 14245701341.

It can be written as a sum of positive squares in 4 ways, for example, as 324144016 + 13986610225 = 18004^2 + 118265^2 .

It is not a de Polignac number, because 14310754241 - 26 = 14310754177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14310754198 and 14310754207.

It is not an unprimeable number, because it can be changed into a prime (14310754201) 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 23 ways as a sum of consecutive naturals, for example, 530795 + ... + 557103.

It is an arithmetic number, because the mean of its divisors is an integer number (735588135).

Almost surely, 214310754241 is an apocalyptic number.

It is an amenable number.

14310754241 is a deficient number, since it is larger than the sum of its proper divisors (3343360999).

14310754241 is a wasteful number, since it uses less digits than its factorization.

14310754241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26993 (or 26986 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 14310754241 in words is "fourteen billion, three hundred ten million, seven hundred fifty-four thousand, two hundred forty-one".

Divisors: 1 7 17 49 119 653 833 4571 11101 26309 31997 77707 184163 447253 543949 1289141 3130771 17179777 21915397 120258439 292056209 841809073 2044393463 14310754241