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314411013461 is a prime number
BaseRepresentation
bin1001001001101000101…
…10110101010101010101
31010001112211210100210102
410210310112311111111
520122403204412321
6400234411103445
731500253343006
oct4446426652525
91101484710712
10314411013461
11111382902a86
1250b27741b85
1323858636ccc
14113090491ad
1582a292dc0b
hex49345b5555

314411013461 has 2 divisors, whose sum is σ = 314411013462. Its totient is φ = 314411013460.

The previous prime is 314411013391. The next prime is 314411013473. The reversal of 314411013461 is 164310114413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271243056100 + 43167957361 = 520810^2 + 207769^2 .

It is a cyclic number.

It is not a de Polignac number, because 314411013461 - 214 = 314410997077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314411013481) 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 as a sum of consecutive naturals, namely, 157205506730 + 157205506731.

It is an arithmetic number, because the mean of its divisors is an integer number (157205506731).

Almost surely, 2314411013461 is an apocalyptic number.

It is an amenable number.

314411013461 is a deficient number, since it is larger than the sum of its proper divisors (1).

314411013461 is an equidigital number, since it uses as much as digits as its factorization.

314411013461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 314411013461 its reverse (164310114413), we get a palindrome (478721127874).

The spelling of 314411013461 in words is "three hundred fourteen billion, four hundred eleven million, thirteen thousand, four hundred sixty-one".