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240553235312293 is a prime number
BaseRepresentation
bin110110101100100000101010…
…001000111110111010100101
31011112201122221120101211212111
4312230200222020332322211
5223012211011214443133
62211340344122321021
7101445253264056061
oct6654405210767245
91145648846354774
10240553235312293
116a71406613a982
1222b909b3959171
13a42c0c3ac78a7
144358ba55d0aa1
151cc251d30a1cd
hexdac82a23eea5

240553235312293 has 2 divisors, whose sum is σ = 240553235312294. Its totient is φ = 240553235312292.

The previous prime is 240553235312237. The next prime is 240553235312359. The reversal of 240553235312293 is 392213532355042.

240553235312293 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., 147495244036644 + 93057991275649 = 12144762^2 + 9646657^2 .

It is a cyclic number.

It is not a de Polignac number, because 240553235312293 - 225 = 240553201757861 is a prime.

It is a super-2 number, since 2×2405532353122932 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240553235342293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120276617656146 + 120276617656147.

It is an arithmetic number, because the mean of its divisors is an integer number (120276617656147).

Almost surely, 2240553235312293 is an apocalyptic number.

It is an amenable number.

240553235312293 is a deficient number, since it is larger than the sum of its proper divisors (1).

240553235312293 is an equidigital number, since it uses as much as digits as its factorization.

240553235312293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832000, while the sum is 49.

The spelling of 240553235312293 in words is "two hundred forty trillion, five hundred fifty-three billion, two hundred thirty-five million, three hundred twelve thousand, two hundred ninety-three".