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314143140013 is a prime number
BaseRepresentation
bin1001001001001000110…
…00111110100010101101
31010000212011201222111121
410210210120332202231
520121331120440023
6400152041420541
731460521426603
oct4444430764255
91100764658447
10314143140013
1111125568176a
1250a71a9a751
1323814ca7101
14112c1639873
158289168d5d
hex492463e8ad

314143140013 has 2 divisors, whose sum is σ = 314143140014. Its totient is φ = 314143140012.

The previous prime is 314143140007. The next prime is 314143140041. The reversal of 314143140013 is 310041341413.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242523746089 + 71619393924 = 492467^2 + 267618^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314143140013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 314143140013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314143149013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157071570006 + 157071570007.

It is an arithmetic number, because the mean of its divisors is an integer number (157071570007).

Almost surely, 2314143140013 is an apocalyptic number.

It is an amenable number.

314143140013 is a deficient number, since it is larger than the sum of its proper divisors (1).

314143140013 is an equidigital number, since it uses as much as digits as its factorization.

314143140013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 314143140013 its reverse (310041341413), we get a palindrome (624184481426).

The spelling of 314143140013 in words is "three hundred fourteen billion, one hundred forty-three million, one hundred forty thousand, thirteen".