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242000505413 is a prime number
BaseRepresentation
bin1110000101100001011…
…0101010101001000101
3212010122102122102111222
43201120112222221011
512431104112133123
6303101250410125
723324666233052
oct3413026525105
9763572572458
10242000505413
11936a4a815a7
123aa99590945
1319a88994b44
14b9da23a029
1564658bd6c8
hex38585aaa45

242000505413 has 2 divisors, whose sum is σ = 242000505414. Its totient is φ = 242000505412.

The previous prime is 242000505361. The next prime is 242000505421. The reversal of 242000505413 is 314505000242.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237581180929 + 4419324484 = 487423^2 + 66478^2 .

It is a cyclic number.

It is not a de Polignac number, because 242000505413 - 232 = 237705538117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242000505013) 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, 121000252706 + 121000252707.

It is an arithmetic number, because the mean of its divisors is an integer number (121000252707).

Almost surely, 2242000505413 is an apocalyptic number.

It is an amenable number.

242000505413 is a deficient number, since it is larger than the sum of its proper divisors (1).

242000505413 is an equidigital number, since it uses as much as digits as its factorization.

242000505413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 242000505413 in words is "two hundred forty-two billion, five hundred five thousand, four hundred thirteen".