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314332144031 is a prime number
BaseRepresentation
bin1001001001011111010…
…01111110000110011111
31010001100100101101021102
410210233221332012133
520122223012102111
6400222512423315
731465305065663
oct4445751760637
91101310341242
10314332144031
11111342334234
1250b05247b3b
13238451b13c9
14112dc7988a3
15829aa5013b
hex492fa7e19f

314332144031 has 2 divisors, whose sum is σ = 314332144032. Its totient is φ = 314332144030.

The previous prime is 314332144001. The next prime is 314332144033. The reversal of 314332144031 is 130441233413.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 314332144031 - 26 = 314332143967 is a prime.

It is a super-2 number, since 2×3143321440312 (a number of 24 digits) contains 22 as substring.

Together with 314332144033, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 314332143985 and 314332144003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314332144033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157166072015 + 157166072016.

It is an arithmetic number, because the mean of its divisors is an integer number (157166072016).

Almost surely, 2314332144031 is an apocalyptic number.

314332144031 is a deficient number, since it is larger than the sum of its proper divisors (1).

314332144031 is an equidigital number, since it uses as much as digits as its factorization.

314332144031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 314332144031 its reverse (130441233413), we get a palindrome (444773377444).

The spelling of 314332144031 in words is "three hundred fourteen billion, three hundred thirty-two million, one hundred forty-four thousand, thirty-one".