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14261416241 = 10122415801
BaseRepresentation
bin11010100100000101…
…11111000100110001
31100210220101000020112
431102002333010301
5213201410304431
610315051351105
71013261016002
oct152202770461
940726330215
1014261416241
11605921a116
122920152495
13146381a947
149940c51a9
1558706ec2b
hex3520bf131

14261416241 has 12 divisors (see below), whose sum is σ = 14466277452. Its totient is φ = 14059200000.

The previous prime is 14261416237. The next prime is 14261416259.

14261416241 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 10670890000 + 3590526241 = 103300^2 + 59921^2 .

It is not a de Polignac number, because 14261416241 - 22 = 14261416237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14261416198 and 14261416207.

It is not an unprimeable number, because it can be changed into a prime (14261419241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455541 + ... + 2461341.

It is an arithmetic number, because the mean of its divisors is an integer number (1205523121).

Almost surely, 214261416241 is an apocalyptic number.

It is an amenable number.

14261416241 is a deficient number, since it is larger than the sum of its proper divisors (204861211).

14261416241 is an equidigital number, since it uses as much as digits as its factorization.

14261416241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6143 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The spelling of 14261416241 in words is "fourteen billion, two hundred sixty-one million, four hundred sixteen thousand, two hundred forty-one".

Divisors: 1 101 241 5801 10201 24341 585901 1398041 2458441 59176001 141202141 14261416241