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240013253413 is a prime number
BaseRepresentation
bin1101111110000111100…
…1111001101100100101
3211221111221021120021001
43133201321321230211
512413021343102123
6302132140553301
723224515664333
oct3374171715445
9757457246231
10240013253413
119287525177a
123a623b52831
131983006209b
14b88c33cb53
15639b1c80ad
hex37e1e79b25

240013253413 has 2 divisors, whose sum is σ = 240013253414. Its totient is φ = 240013253412.

The previous prime is 240013253393. The next prime is 240013253453. The reversal of 240013253413 is 314352310042.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 239980454884 + 32798529 = 489878^2 + 5727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-240013253413 is a prime.

It is a super-2 number, since 2×2400132534132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240013253453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120006626706 + 120006626707.

It is an arithmetic number, because the mean of its divisors is an integer number (120006626707).

Almost surely, 2240013253413 is an apocalyptic number.

It is an amenable number.

240013253413 is a deficient number, since it is larger than the sum of its proper divisors (1).

240013253413 is an equidigital number, since it uses as much as digits as its factorization.

240013253413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 240013253413 its reverse (314352310042), we get a palindrome (554365563455).

The spelling of 240013253413 in words is "two hundred forty billion, thirteen million, two hundred fifty-three thousand, four hundred thirteen".