Search a number
-
+
3124032464041 is a prime number
BaseRepresentation
bin101101011101011110110…
…110000110010010101001
3102001122200012020021200121
4231131132312012102221
5402141004302322131
610351054413403241
7441463302543316
oct55353666062251
912048605207617
103124032464041
11aa4992978805
12425560199521
13198797294368
14ab2bda03d0d
15563e3733911
hex2d75ed864a9

3124032464041 has 2 divisors, whose sum is σ = 3124032464042. Its totient is φ = 3124032464040.

The previous prime is 3124032464039. The next prime is 3124032464071. The reversal of 3124032464041 is 1404642304213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2851657029225 + 272375434816 = 1688685^2 + 521896^2 .

It is a cyclic number.

It is not a de Polignac number, because 3124032464041 - 21 = 3124032464039 is a prime.

It is a super-3 number, since 3×31240324640413 (a number of 38 digits) contains 333 as substring.

Together with 3124032464039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3124032463988 and 3124032464006.

It is not a weakly prime, because it can be changed into another prime (3124032464071) 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, 1562016232020 + 1562016232021.

It is an arithmetic number, because the mean of its divisors is an integer number (1562016232021).

Almost surely, 23124032464041 is an apocalyptic number.

It is an amenable number.

3124032464041 is a deficient number, since it is larger than the sum of its proper divisors (1).

3124032464041 is an equidigital number, since it uses as much as digits as its factorization.

3124032464041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 3124032464041 its reverse (1404642304213), we get a palindrome (4528674768254).

The spelling of 3124032464041 in words is "three trillion, one hundred twenty-four billion, thirty-two million, four hundred sixty-four thousand, forty-one".