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249144904033 is a prime number
BaseRepresentation
bin1110100000001000110…
…0011000100101100001
3212211002100002110222021
43220002030120211201
513040222043412113
6310242223541441
724000020512414
oct3500214304541
9784070073867
10249144904033
1196730891a73
124035215a881
131a656b8824c
14c0b7023b7b
156732c0c48d
hex3a02318961

249144904033 has 2 divisors, whose sum is σ = 249144904034. Its totient is φ = 249144904032.

The previous prime is 249144904031. The next prime is 249144904061. The reversal of 249144904033 is 330409441942.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203444298304 + 45700605729 = 451048^2 + 213777^2 .

It is a cyclic number.

It is not a de Polignac number, because 249144904033 - 21 = 249144904031 is a prime.

It is a super-2 number, since 2×2491449040332 (a number of 24 digits) contains 22 as substring.

Together with 249144904031, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (249144904031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 124572452016 + 124572452017.

It is an arithmetic number, because the mean of its divisors is an integer number (124572452017).

Almost surely, 2249144904033 is an apocalyptic number.

It is an amenable number.

249144904033 is a deficient number, since it is larger than the sum of its proper divisors (1).

249144904033 is an equidigital number, since it uses as much as digits as its factorization.

249144904033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 249144904033 in words is "two hundred forty-nine billion, one hundred forty-four million, nine hundred four thousand, thirty-three".