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240014638093 is a prime number
BaseRepresentation
bin1101111110000111111…
…1001011110000001101
3211221112000212220200111
43133201333023300031
512413022221404333
6302132230400021
723224533522316
oct3374177136015
9757460786614
10240014638093
119287600803a
123a624500011
1319830428419
14b88c5bd60d
15639b39d4cd
hex37e1fcbc0d

240014638093 has 2 divisors, whose sum is σ = 240014638094. Its totient is φ = 240014638092.

The previous prime is 240014638043. The next prime is 240014638103. The reversal of 240014638093 is 390836410042.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 230019037609 + 9995600484 = 479603^2 + 99978^2 .

It is a cyclic number.

It is not a de Polignac number, because 240014638093 - 237 = 102575684621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (240014638013) 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, 120007319046 + 120007319047.

It is an arithmetic number, because the mean of its divisors is an integer number (120007319047).

Almost surely, 2240014638093 is an apocalyptic number.

It is an amenable number.

240014638093 is a deficient number, since it is larger than the sum of its proper divisors (1).

240014638093 is an equidigital number, since it uses as much as digits as its factorization.

240014638093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 240014638093 in words is "two hundred forty billion, fourteen million, six hundred thirty-eight thousand, ninety-three".