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242353514313 = 3226928168257
BaseRepresentation
bin1110000110110101100…
…1010010011101001001
3212011120000220010200200
43201231121102131021
512432314444424223
6303200300522413
723336513611401
oct3415531223511
9764500803620
10242353514313
1193866271399
123ab77850409
1319b13b62751
14ba3108b801
15648689da43
hex386d652749

242353514313 has 6 divisors (see below), whose sum is σ = 350066187354. Its totient is φ = 161569009536.

The previous prime is 242353514267. The next prime is 242353514353. The reversal of 242353514313 is 313415353242.

242353514313 is a `hidden beast` number, since 24 + 235 + 351 + 43 + 13 = 666.

242353514313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 141246685584 + 101106828729 = 375828^2 + 317973^2 .

It is not a de Polignac number, because 242353514313 - 28 = 242353514057 is a prime.

It is a super-2 number, since 2×2423535143132 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242353514353) 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 in 5 ways as a sum of consecutive naturals, for example, 13464084120 + ... + 13464084137.

It is an arithmetic number, because the mean of its divisors is an integer number (58344364559).

Almost surely, 2242353514313 is an apocalyptic number.

It is an amenable number.

242353514313 is a deficient number, since it is larger than the sum of its proper divisors (107712673041).

242353514313 is a wasteful number, since it uses less digits than its factorization.

242353514313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26928168263 (or 26928168260 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 242353514313 its reverse (313415353242), we get a palindrome (555768867555).

The spelling of 242353514313 in words is "two hundred forty-two billion, three hundred fifty-three million, five hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 9 26928168257 80784504771 242353514313