Search a number
-
+
314136105431 is a prime number
BaseRepresentation
bin1001001001000111111…
…10001001000111010111
31010000211200111120212112
410210203332021013113
520121322320333211
6400151230541235
731460404560611
oct4444376110727
91100750446775
10314136105431
11111251707565
1250a6b66781b
13238136b3235
14112c0727db1
15828872988b
hex4923f891d7

314136105431 has 2 divisors, whose sum is σ = 314136105432. Its totient is φ = 314136105430.

The previous prime is 314136105377. The next prime is 314136105449. The reversal of 314136105431 is 134501631413.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314136105431 is a prime.

It is a super-3 number, since 3×3141361054313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314136105931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157068052715 + 157068052716.

It is an arithmetic number, because the mean of its divisors is an integer number (157068052716).

Almost surely, 2314136105431 is an apocalyptic number.

314136105431 is a deficient number, since it is larger than the sum of its proper divisors (1).

314136105431 is an equidigital number, since it uses as much as digits as its factorization.

314136105431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 314136105431 its reverse (134501631413), we get a palindrome (448637736844).

The spelling of 314136105431 in words is "three hundred fourteen billion, one hundred thirty-six million, one hundred five thousand, four hundred thirty-one".