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242145505361 is a prime number
BaseRepresentation
bin1110000110000011111…
…1110011000001010001
3212011000112111012001102
43201200333303001101
512431403222132421
6303123510314145
723331406556324
oct3414077630121
9764015435042
10242145505361
1193769909171
123ab1a058955
1319aaca32c26
14ba115c27bb
1564734b160b
hex3860ff3051

242145505361 has 2 divisors, whose sum is σ = 242145505362. Its totient is φ = 242145505360.

The previous prime is 242145505289. The next prime is 242145505367. The reversal of 242145505361 is 163505541242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 182355474961 + 59790030400 = 427031^2 + 244520^2 .

It is a cyclic number.

It is not a de Polignac number, because 242145505361 - 222 = 242141311057 is a prime.

It is not a weakly prime, because it can be changed into another prime (242145505367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121072752680 + 121072752681.

It is an arithmetic number, because the mean of its divisors is an integer number (121072752681).

Almost surely, 2242145505361 is an apocalyptic number.

It is an amenable number.

242145505361 is a deficient number, since it is larger than the sum of its proper divisors (1).

242145505361 is an equidigital number, since it uses as much as digits as its factorization.

242145505361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 242145505361 in words is "two hundred forty-two billion, one hundred forty-five million, five hundred five thousand, three hundred sixty-one".