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1314431342041 is a prime number
BaseRepresentation
bin10011001000001010001…
…101101001010111011001
311122122202222110120211211
4103020022031221113121
5133013423410421131
62443501425223121
7163651556030026
oct23101215512731
94578688416754
101314431342041
114674a1253054
121928b4491aa1
1396c47b9c69c
144789406454d
15242d0d5d5b1
hex1320a3695d9

1314431342041 has 2 divisors, whose sum is σ = 1314431342042. Its totient is φ = 1314431342040.

The previous prime is 1314431341997. The next prime is 1314431342047. The reversal of 1314431342041 is 1402431344131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 738508203225 + 575923138816 = 859365^2 + 758896^2 .

It is a cyclic number.

It is not a de Polignac number, because 1314431342041 - 27 = 1314431341913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1314431341994 and 1314431342012.

It is not a weakly prime, because it can be changed into another prime (1314431342047) 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, 657215671020 + 657215671021.

It is an arithmetic number, because the mean of its divisors is an integer number (657215671021).

Almost surely, 21314431342041 is an apocalyptic number.

It is an amenable number.

1314431342041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1314431342041 is an equidigital number, since it uses as much as digits as its factorization.

1314431342041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 1314431342041 its reverse (1402431344131), we get a palindrome (2716862686172).

The spelling of 1314431342041 in words is "one trillion, three hundred fourteen billion, four hundred thirty-one million, three hundred forty-two thousand, forty-one".