Search a number
-
+
313575433143473 is a prime number
BaseRepresentation
bin100011101001100011111100…
…0010011011000010010110001
31112010021112000002102112221202
41013103013320103120102301
5312100104441341042343
63030530322034100545
7123023035361330204
oct10723077023302261
91463245002375852
10313575433143473
1190a0765a1298a6
122b20502a11a755
13105c806215b527
1457611bc0a993b
15263bc3b1eedb8
hex11d31f84d84b1

313575433143473 has 2 divisors, whose sum is σ = 313575433143474. Its totient is φ = 313575433143472.

The previous prime is 313575433143449. The next prime is 313575433143499. The reversal of 313575433143473 is 374341334575313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 312963272429824 + 612160713649 = 17690768^2 + 782407^2 .

It is a cyclic number.

It is not a de Polignac number, because 313575433143473 - 210 = 313575433142449 is a prime.

It is a super-2 number, since 2×3135754331434732 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313575433143443) 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, 156787716571736 + 156787716571737.

It is an arithmetic number, because the mean of its divisors is an integer number (156787716571737).

Almost surely, 2313575433143473 is an apocalyptic number.

It is an amenable number.

313575433143473 is a deficient number, since it is larger than the sum of its proper divisors (1).

313575433143473 is an equidigital number, since it uses as much as digits as its factorization.

313575433143473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 57153600, while the sum is 56.

The spelling of 313575433143473 in words is "three hundred thirteen trillion, five hundred seventy-five billion, four hundred thirty-three million, one hundred forty-three thousand, four hundred seventy-three".