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42124412017 is a prime number
BaseRepresentation
bin100111001110110011…
…111000010001110001
311000201201111211221001
4213032303320101301
51142232322141032
631203544202001
73020611410562
oct471663702161
9130651454831
1042124412017
1116957150256
1281b7469301
133c84239aac
1420787b0169
1511682723e7
hex9cecf8471

42124412017 has 2 divisors, whose sum is σ = 42124412018. Its totient is φ = 42124412016.

The previous prime is 42124411997. The next prime is 42124412041. The reversal of 42124412017 is 71021442124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41828021361 + 296390656 = 204519^2 + 17216^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42124412017 is a prime.

It is not a weakly prime, because it can be changed into another prime (42124712017) 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, 21062206008 + 21062206009.

It is an arithmetic number, because the mean of its divisors is an integer number (21062206009).

Almost surely, 242124412017 is an apocalyptic number.

It is an amenable number.

42124412017 is a deficient number, since it is larger than the sum of its proper divisors (1).

42124412017 is an equidigital number, since it uses as much as digits as its factorization.

42124412017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3584, while the sum is 28.

The spelling of 42124412017 in words is "forty-two billion, one hundred twenty-four million, four hundred twelve thousand, seventeen".