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4100440124041 is a prime number
BaseRepresentation
bin111011101010110101010…
…001101110101010001001
3112111222221201111122212021
4323222311101232222021
51014140200132432131
612415414410244441
7602150504656102
oct73526521565211
915458851448767
104100440124041
111340a94608448
12562839126721
132398928578b1
14102668a0b3a9
15719ddb81e11
hex3bab546ea89

4100440124041 has 2 divisors, whose sum is σ = 4100440124042. Its totient is φ = 4100440124040.

The previous prime is 4100440124021. The next prime is 4100440124057. The reversal of 4100440124041 is 1404210440014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2183242656400 + 1917197467641 = 1477580^2 + 1384629^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100440124041 - 25 = 4100440124009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4100440123997 and 4100440124015.

It is not a weakly prime, because it can be changed into another prime (4100440124021) 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, 2050220062020 + 2050220062021.

It is an arithmetic number, because the mean of its divisors is an integer number (2050220062021).

Almost surely, 24100440124041 is an apocalyptic number.

It is an amenable number.

4100440124041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100440124041 is an equidigital number, since it uses as much as digits as its factorization.

4100440124041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4100440124041 its reverse (1404210440014), we get a palindrome (5504650564055).

The spelling of 4100440124041 in words is "four trillion, one hundred billion, four hundred forty million, one hundred twenty-four thousand, forty-one".