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240542201125217 is a prime number
BaseRepresentation
bin110110101100010110011000…
…011100111001100101100001
31011112200121110120122001210002
4312230112120130321211201
5223012020411442001332
62211331321153345345
7101444412661035335
oct6654263034714541
91145617416561702
10240542201125217
116a70a413681902
1222b8a834568255
13a42b055a90504
144358439d817c5
151cc20c4766562
hexdac598739961

240542201125217 has 2 divisors, whose sum is σ = 240542201125218. Its totient is φ = 240542201125216.

The previous prime is 240542201125211. The next prime is 240542201125267. The reversal of 240542201125217 is 712521102245042.

240542201125217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196383199115041 + 44159002010176 = 14013679^2 + 6645224^2 .

It is a cyclic number.

It is not a de Polignac number, because 240542201125217 - 24 = 240542201125201 is a prime.

It is a super-3 number, since 3×2405422011252173 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (240542201125211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120271100562608 + 120271100562609.

It is an arithmetic number, because the mean of its divisors is an integer number (120271100562609).

Almost surely, 2240542201125217 is an apocalyptic number.

It is an amenable number.

240542201125217 is a deficient number, since it is larger than the sum of its proper divisors (1).

240542201125217 is an equidigital number, since it uses as much as digits as its factorization.

240542201125217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 89600, while the sum is 38.

The spelling of 240542201125217 in words is "two hundred forty trillion, five hundred forty-two billion, two hundred one million, one hundred twenty-five thousand, two hundred seventeen".