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314205423137 is a prime number
BaseRepresentation
bin1001001001010000001…
…10100100011000100001
31010001000111221021212222
410210220012210120201
520121443042020022
6400202144400425
731462206013214
oct4445006443041
91101014837788
10314205423137
11111287851a21
1250a8a916115
1323824b73328
14112c9a0d77b
15828e86d242
hex49281a4621

314205423137 has 2 divisors, whose sum is σ = 314205423138. Its totient is φ = 314205423136.

The previous prime is 314205423113. The next prime is 314205423341. The reversal of 314205423137 is 731324502413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300708560161 + 13496862976 = 548369^2 + 116176^2 .

It is a cyclic number.

It is not a de Polignac number, because 314205423137 - 212 = 314205419041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314205423097 and 314205423106.

It is not a weakly prime, because it can be changed into another prime (314205423437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157102711568 + 157102711569.

It is an arithmetic number, because the mean of its divisors is an integer number (157102711569).

Almost surely, 2314205423137 is an apocalyptic number.

It is an amenable number.

314205423137 is a deficient number, since it is larger than the sum of its proper divisors (1).

314205423137 is an equidigital number, since it uses as much as digits as its factorization.

314205423137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 314205423137 in words is "three hundred fourteen billion, two hundred five million, four hundred twenty-three thousand, one hundred thirty-seven".