Search a number
-
+
314642424510517 is a prime number
BaseRepresentation
bin100011110001010100110010…
…1111100011011100000110101
31112021001112002112221000210011
41013202221211330123200311
5312220100141133314032
63033104422342100221
7123163110411316225
oct10742514574334065
91467045075830704
10314642424510517
1191289114a1a344
122b35798741a671
131067486545690c
14579aabb716085
152659888d7a247
hex11e2a65f1b835

314642424510517 has 2 divisors, whose sum is σ = 314642424510518. Its totient is φ = 314642424510516.

The previous prime is 314642424510493. The next prime is 314642424510541. The reversal of 314642424510517 is 715015424246413.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (314642424510493) and next prime (314642424510541).

It can be written as a sum of positive squares in only one way, i.e., 314514299171601 + 128125338916 = 17734551^2 + 357946^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314642424510517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314642424516517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157321212255258 + 157321212255259.

It is an arithmetic number, because the mean of its divisors is an integer number (157321212255259).

Almost surely, 2314642424510517 is an apocalyptic number.

It is an amenable number.

314642424510517 is a deficient number, since it is larger than the sum of its proper divisors (1).

314642424510517 is an equidigital number, since it uses as much as digits as its factorization.

314642424510517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 314642424510517 in words is "three hundred fourteen trillion, six hundred forty-two billion, four hundred twenty-four million, five hundred ten thousand, five hundred seventeen".