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240157632274193 is a prime number
BaseRepresentation
bin110110100110110000001110…
…010111001001111100010001
31011111022211211022111021200102
4312212300032113021330101
5222434220312330233233
62210434520532302145
7101404550002531004
oct6646601627117421
91144284738437612
10240157632274193
116a581309582097
1222b281a9171955
13a4009c93c776a
14434399739553b
151cb70b794a1e8
hexda6c0e5c9f11

240157632274193 has 2 divisors, whose sum is σ = 240157632274194. Its totient is φ = 240157632274192.

The previous prime is 240157632274139. The next prime is 240157632274223. The reversal of 240157632274193 is 391472236751042.

240157632274193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (240157632274139) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204469637306944 + 35687994967249 = 14299288^2 + 5973943^2 .

It is a cyclic number.

It is not a de Polignac number, because 240157632274193 - 212 = 240157632270097 is a prime.

It is not a weakly prime, because it can be changed into another prime (240157632274493) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120078816137096 + 120078816137097.

It is an arithmetic number, because the mean of its divisors is an integer number (120078816137097).

Almost surely, 2240157632274193 is an apocalyptic number.

It is an amenable number.

240157632274193 is a deficient number, since it is larger than the sum of its proper divisors (1).

240157632274193 is an equidigital number, since it uses as much as digits as its factorization.

240157632274193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 240157632274193 in words is "two hundred forty trillion, one hundred fifty-seven billion, six hundred thirty-two million, two hundred seventy-four thousand, one hundred ninety-three".