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142146736013 is a prime number
BaseRepresentation
bin1000010001100010011…
…0110000111110001101
3111120220110011100221102
42010120212300332031
54312104031023023
6145145025512445
713161346214612
oct2043046607615
9446813140842
10142146736013
1155314143737
12236707a2725
13105345646a9
146c467a2509
153a6e41b628
hex21189b0f8d

142146736013 has 2 divisors, whose sum is σ = 142146736014. Its totient is φ = 142146736012.

The previous prime is 142146736009. The next prime is 142146736037. The reversal of 142146736013 is 310637641241.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 141859196164 + 287539849 = 376642^2 + 16957^2 .

It is a cyclic number.

It is not a de Polignac number, because 142146736013 - 22 = 142146736009 is a prime.

It is a super-2 number, since 2×1421467360132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (142146736913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 71073368006 + 71073368007.

It is an arithmetic number, because the mean of its divisors is an integer number (71073368007).

Almost surely, 2142146736013 is an apocalyptic number.

It is an amenable number.

142146736013 is a deficient number, since it is larger than the sum of its proper divisors (1).

142146736013 is an equidigital number, since it uses as much as digits as its factorization.

142146736013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 142146736013 in words is "one hundred forty-two billion, one hundred forty-six million, seven hundred thirty-six thousand, thirteen".