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2042414029 is a prime number
BaseRepresentation
bin111100110111100…
…1100001111001101
312021100011101100001
41321233030033031
513140324222104
6534400004301
7101420142565
oct17157141715
95240141301
102042414029
11958986987
12490000691
132671a7916
14155379da5
15be48eaa4
hex79bcc3cd

2042414029 has 2 divisors, whose sum is σ = 2042414030. Its totient is φ = 2042414028.

The previous prime is 2042413991. The next prime is 2042414039. The reversal of 2042414029 is 9204142402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1268072100 + 774341929 = 35610^2 + 27827^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042414029 - 221 = 2040316877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042413988 and 2042414006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2042414039) 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, 1021207014 + 1021207015.

It is an arithmetic number, because the mean of its divisors is an integer number (1021207015).

Almost surely, 22042414029 is an apocalyptic number.

It is an amenable number.

2042414029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042414029 is an equidigital number, since it uses as much as digits as its factorization.

2042414029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2042414029 is about 45193.0750115546. The cubic root of 2042414029 is about 1268.7652100258.

It can be divided in two parts, 20424 and 14029, that added together give a triangular number (34453 = T262).

The spelling of 2042414029 in words is "two billion, forty-two million, four hundred fourteen thousand, twenty-nine".