Search a number
-
+
42047104313 is a prime number
BaseRepresentation
bin100111001010001100…
…111110010100111001
311000112100001012200202
4213022030332110321
51142103024314223
631152143211545
73015652326644
oct471214762471
9130470035622
1042047104313
1116917548895
1281955a6bb5
133c7120cca6
14206c408a5b
1511615a1428
hex9ca33e539

42047104313 has 2 divisors, whose sum is σ = 42047104314. Its totient is φ = 42047104312.

The previous prime is 42047104303. The next prime is 42047104349. The reversal of 42047104313 is 31340174024.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34357217449 + 7689886864 = 185357^2 + 87692^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42047104313 is a prime.

It is a super-2 number, since 2×420471043132 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (42047104303) 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, 21023552156 + 21023552157.

It is an arithmetic number, because the mean of its divisors is an integer number (21023552157).

Almost surely, 242047104313 is an apocalyptic number.

It is an amenable number.

42047104313 is a deficient number, since it is larger than the sum of its proper divisors (1).

42047104313 is an equidigital number, since it uses as much as digits as its factorization.

42047104313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 29.

Adding to 42047104313 its reverse (31340174024), we get a palindrome (73387278337).

The spelling of 42047104313 in words is "forty-two billion, forty-seven million, one hundred four thousand, three hundred thirteen".