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314411013241 = 13110597218681
BaseRepresentation
bin1001001001101000101…
…10110101010001111001
31010001112211210100111021
410210310112311101321
520122403204410431
6400234411102441
731500253342243
oct4446426652171
91101484710437
10314411013241
111113829028a6
1250b27741a21
1323858636b90
1411309049093
1582a292db11
hex49345b5479

314411013241 has 8 divisors (see below), whose sum is σ = 338601085704. Its totient is φ = 290221599360.

The previous prime is 314411013239. The next prime is 314411013331. The reversal of 314411013241 is 142310114413.

It can be written as a sum of positive squares in 4 ways, for example, as 1034973241 + 313376040000 = 32171^2 + 559800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314411013241 - 21 = 314411013239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314411013841) 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 7 ways as a sum of consecutive naturals, for example, 1328421 + ... + 1547101.

It is an arithmetic number, because the mean of its divisors is an integer number (42325135713).

Almost surely, 2314411013241 is an apocalyptic number.

It is an amenable number.

314411013241 is a deficient number, since it is larger than the sum of its proper divisors (24190072463).

314411013241 is a wasteful number, since it uses less digits than its factorization.

314411013241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329291.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 314411013241 its reverse (142310114413), we get a palindrome (456721127654).

The spelling of 314411013241 in words is "three hundred fourteen billion, four hundred eleven million, thirteen thousand, two hundred forty-one".

Divisors: 1 13 110597 218681 1437761 2842853 24185462557 314411013241