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314011442137 is a prime number
BaseRepresentation
bin1001001000111001000…
…10100101101111011001
31010000111222221000222111
410210130202211233121
520121043412122022
6400131014552321
731454332135021
oct4443442455731
91100458830874
10314011442137
11111198300148
1250a359686a1
13237c3915883
14112abd56a81
15827c802477
hex491c8a5bd9

314011442137 has 2 divisors, whose sum is σ = 314011442138. Its totient is φ = 314011442136.

The previous prime is 314011442119. The next prime is 314011442153. The reversal of 314011442137 is 731244110413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313998846736 + 12595401 = 560356^2 + 3549^2 .

It is a cyclic number.

It is not a de Polignac number, because 314011442137 - 27 = 314011442009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314011442099 and 314011442108.

It is not a weakly prime, because it can be changed into another prime (314011449137) 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, 157005721068 + 157005721069.

It is an arithmetic number, because the mean of its divisors is an integer number (157005721069).

Almost surely, 2314011442137 is an apocalyptic number.

It is an amenable number.

314011442137 is a deficient number, since it is larger than the sum of its proper divisors (1).

314011442137 is an equidigital number, since it uses as much as digits as its factorization.

314011442137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 314011442137 in words is "three hundred fourteen billion, eleven million, four hundred forty-two thousand, one hundred thirty-seven".