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240322114049 is a prime number
BaseRepresentation
bin1101111111010001010…
…0000111001000000001
3211222022110110022101212
43133310110013020001
512414134430122144
6302222532535505
723235256156553
oct3376424071001
9758273408355
10240322114049
1192a136282a6
123a6ab481595
131987c042c64
14b8bb37b4d3
1563b838749e
hex37f4507201

240322114049 has 2 divisors, whose sum is σ = 240322114050. Its totient is φ = 240322114048.

The previous prime is 240322114009. The next prime is 240322114051. The reversal of 240322114049 is 940411223042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220400203024 + 19921911025 = 469468^2 + 141145^2 .

It is a cyclic number.

It is not a de Polignac number, because 240322114049 - 212 = 240322109953 is a prime.

Together with 240322114051, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (240322114009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120161057024 + 120161057025.

It is an arithmetic number, because the mean of its divisors is an integer number (120161057025).

Almost surely, 2240322114049 is an apocalyptic number.

It is an amenable number.

240322114049 is a deficient number, since it is larger than the sum of its proper divisors (1).

240322114049 is an equidigital number, since it uses as much as digits as its factorization.

240322114049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 240322114049 in words is "two hundred forty billion, three hundred twenty-two million, one hundred fourteen thousand, forty-nine".