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314136105377 is a prime number
BaseRepresentation
bin1001001001000111111…
…10001001000110100001
31010000211200111120210112
410210203332021012201
520121322320333002
6400151230541105
731460404560503
oct4444376110641
91100750446715
10314136105377
11111251707516
1250a6b667795
13238136b31c3
14112c0727d73
158288729852
hex4923f891a1

314136105377 has 2 divisors, whose sum is σ = 314136105378. Its totient is φ = 314136105376.

The previous prime is 314136105337. The next prime is 314136105431. The reversal of 314136105377 is 773501631413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 313690726561 + 445378816 = 560081^2 + 21104^2 .

It is a cyclic number.

It is not a de Polignac number, because 314136105377 - 210 = 314136104353 is a prime.

It is not a weakly prime, because it can be changed into another prime (314136105337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157068052688 + 157068052689.

It is an arithmetic number, because the mean of its divisors is an integer number (157068052689).

Almost surely, 2314136105377 is an apocalyptic number.

It is an amenable number.

314136105377 is a deficient number, since it is larger than the sum of its proper divisors (1).

314136105377 is an equidigital number, since it uses as much as digits as its factorization.

314136105377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 41.

The spelling of 314136105377 in words is "three hundred fourteen billion, one hundred thirty-six million, one hundred five thousand, three hundred seventy-seven".