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3114444836761 is a prime number
BaseRepresentation
bin101101010100100011011…
…000001100111110011001
3102000201221000102100120221
4231110203120030332121
5402011340334234021
610342431201320041
7441003563214226
oct55244330147631
912021830370527
103114444836761
11aa0912a0a4a5
12423725336021
131978c9b5b01b
14aaa5054694d
1556031b80241
hex2d52360cf99

3114444836761 has 2 divisors, whose sum is σ = 3114444836762. Its totient is φ = 3114444836760.

The previous prime is 3114444836759. The next prime is 3114444836869. The reversal of 3114444836761 is 1676384444113.

3114444836761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3043698944400 + 70745892361 = 1744620^2 + 265981^2 .

It is a cyclic number.

It is not a de Polignac number, because 3114444836761 - 21 = 3114444836759 is a prime.

It is a super-2 number, since 2×31144448367612 (a number of 26 digits) contains 22 as substring.

Together with 3114444836759, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3114444836699 and 3114444836708.

It is not a weakly prime, because it can be changed into another prime (3114444833761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1557222418380 + 1557222418381.

It is an arithmetic number, because the mean of its divisors is an integer number (1557222418381).

Almost surely, 23114444836761 is an apocalyptic number.

It is an amenable number.

3114444836761 is a deficient number, since it is larger than the sum of its proper divisors (1).

3114444836761 is an equidigital number, since it uses as much as digits as its factorization.

3114444836761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4644864, while the sum is 52.

The spelling of 3114444836761 in words is "three trillion, one hundred fourteen billion, four hundred forty-four million, eight hundred thirty-six thousand, seven hundred sixty-one".