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249935140381 is a prime number
BaseRepresentation
bin1110100011000101001…
…0111001011000011101
3212220010102001122110011
43220301102321120131
513043331343443011
6310452453243221
724025424432443
oct3506122713035
9786112048404
10249935140381
1196aa6964263
1240532933511
131a751800014
14c14dd6ab93
15677c2a6621
hex3a314b961d

249935140381 has 2 divisors, whose sum is σ = 249935140382. Its totient is φ = 249935140380.

The previous prime is 249935140183. The next prime is 249935140391. The reversal of 249935140381 is 183041539942.

249935140381 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 (249935140183) 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., 215305280100 + 34629860281 = 464010^2 + 186091^2 .

It is a cyclic number.

It is not a de Polignac number, because 249935140381 - 217 = 249935009309 is a prime.

It is a super-2 number, since 2×2499351403812 (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 (249935140391) 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, 124967570190 + 124967570191.

It is an arithmetic number, because the mean of its divisors is an integer number (124967570191).

Almost surely, 2249935140381 is an apocalyptic number.

It is an amenable number.

249935140381 is a deficient number, since it is larger than the sum of its proper divisors (1).

249935140381 is an equidigital number, since it uses as much as digits as its factorization.

249935140381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 249935140381 in words is "two hundred forty-nine billion, nine hundred thirty-five million, one hundred forty thousand, three hundred eighty-one".