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240842108257 is a prime number
BaseRepresentation
bin1110000001001101001…
…1101110110101100001
3212000122200220202100121
43200103103232311201
512421221034431012
6302350310120241
723254202066632
oct3402323566541
9760580822317
10240842108257
1193160100683
123a815650081
13199329a893a
14b92a459889
1563e8d4ea07
hex38134eed61

240842108257 has 2 divisors, whose sum is σ = 240842108258. Its totient is φ = 240842108256.

The previous prime is 240842108251. The next prime is 240842108371. The reversal of 240842108257 is 752801248042.

240842108257 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., 229900111441 + 10941996816 = 479479^2 + 104604^2 .

It is a cyclic number.

It is not a de Polignac number, because 240842108257 - 227 = 240707890529 is a prime.

It is a super-2 number, since 2×2408421082572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (240842108251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120421054128 + 120421054129.

It is an arithmetic number, because the mean of its divisors is an integer number (120421054129).

Almost surely, 2240842108257 is an apocalyptic number.

It is an amenable number.

240842108257 is a deficient number, since it is larger than the sum of its proper divisors (1).

240842108257 is an equidigital number, since it uses as much as digits as its factorization.

240842108257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 286720, while the sum is 43.

The spelling of 240842108257 in words is "two hundred forty billion, eight hundred forty-two million, one hundred eight thousand, two hundred fifty-seven".