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242141561 = 292287921
BaseRepresentation
bin11100110111011…
…00100101111001
3121212122001202222
432123230211321
5443442012221
640005533425
76000112034
oct1633544571
9555561688
10242141561
111147565a2
1269114275
133b22083c
142423201b
15163d09ab
hexe6ec979

242141561 has 6 divisors (see below), whose sum is σ = 250780062. Its totient is φ = 233791040.

The previous prime is 242141533. The next prime is 242141563. The reversal of 242141561 is 165141242.

It can be written as a sum of positive squares in 3 ways, for example, as 115691536 + 126450025 = 10756^2 + 11245^2 .

It is a de Polignac number, because none of the positive numbers 2k-242141561 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242141561.

It is not an unprimeable number, because it can be changed into a prime (242141563) 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 in 5 ways as a sum of consecutive naturals, for example, 143120 + ... + 144801.

It is an arithmetic number, because the mean of its divisors is an integer number (41796677).

Almost surely, 2242141561 is an apocalyptic number.

It is an amenable number.

242141561 is a deficient number, since it is larger than the sum of its proper divisors (8638501).

242141561 is an equidigital number, since it uses as much as digits as its factorization.

242141561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287979 (or 287950 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 242141561 is about 15560.8984637777. The cubic root of 242141561 is about 623.2894547803.

The spelling of 242141561 in words is "two hundred forty-two million, one hundred forty-one thousand, five hundred sixty-one".

Divisors: 1 29 841 287921 8349709 242141561