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313144550417 is a prime number
BaseRepresentation
bin1001000111010001101…
…11101010010000010001
31002221021120201101002202
410203220313222100101
520112310001103132
6355505010252545
731424004521636
oct4435067522021
91087246641082
10313144550417
11110892a31606
1250833587155
13236b6141baa
1411228b7818d
15822b665762
hex48e8dea411

313144550417 has 2 divisors, whose sum is σ = 313144550418. Its totient is φ = 313144550416.

The previous prime is 313144550377. The next prime is 313144550429. The reversal of 313144550417 is 714055441313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174355518481 + 138789031936 = 417559^2 + 372544^2 .

It is a cyclic number.

It is not a de Polignac number, because 313144550417 - 28 = 313144550161 is a prime.

It is not a weakly prime, because it can be changed into another prime (313144552417) 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 as a sum of consecutive naturals, namely, 156572275208 + 156572275209.

It is an arithmetic number, because the mean of its divisors is an integer number (156572275209).

Almost surely, 2313144550417 is an apocalyptic number.

It is an amenable number.

313144550417 is a deficient number, since it is larger than the sum of its proper divisors (1).

313144550417 is an equidigital number, since it uses as much as digits as its factorization.

313144550417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 313144550417 in words is "three hundred thirteen billion, one hundred forty-four million, five hundred fifty thousand, four hundred seventeen".