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41145312049 is a prime number
BaseRepresentation
bin100110010100011100…
…111010001100110001
310221012111011102021021
4212110130322030301
51133231144441144
630522450455441
72654422244662
oct462434721461
9127174142237
1041145312049
11164a4501a26
127b83594581
133b594398ba
141dc4743369
15110c31d884
hex99473a331

41145312049 has 2 divisors, whose sum is σ = 41145312050. Its totient is φ = 41145312048.

The previous prime is 41145312031. The next prime is 41145312083. The reversal of 41145312049 is 94021354114.

It is an a-pointer prime, because the next prime (41145312083) can be obtained adding 41145312049 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26902560400 + 14242751649 = 164020^2 + 119343^2 .

It is a cyclic number.

It is not a de Polignac number, because 41145312049 - 25 = 41145312017 is a prime.

It is not a weakly prime, because it can be changed into another prime (41145315049) 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, 20572656024 + 20572656025.

It is an arithmetic number, because the mean of its divisors is an integer number (20572656025).

Almost surely, 241145312049 is an apocalyptic number.

It is an amenable number.

41145312049 is a deficient number, since it is larger than the sum of its proper divisors (1).

41145312049 is an equidigital number, since it uses as much as digits as its factorization.

41145312049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 41145312049 in words is "forty-one billion, one hundred forty-five million, three hundred twelve thousand, forty-nine".