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42743814401 is a prime number
BaseRepresentation
bin100111110011101110…
…101101100100000001
311002022220000202021002
4213303232231210001
51200014404030101
631345232141345
73042142266461
oct476356554401
9132286022232
1042743814401
1117144850452
12834a997855
134052669a92
1420d6b67ba1
1511a2823d6b
hex9f3bad901

42743814401 has 2 divisors, whose sum is σ = 42743814402. Its totient is φ = 42743814400.

The previous prime is 42743814397. The next prime is 42743814403. The reversal of 42743814401 is 10441834724.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32815684801 + 9928129600 = 181151^2 + 99640^2 .

It is a cyclic number.

It is not a de Polignac number, because 42743814401 - 22 = 42743814397 is a prime.

Together with 42743814403, 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 (42743814403) 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, 21371907200 + 21371907201.

It is an arithmetic number, because the mean of its divisors is an integer number (21371907201).

Almost surely, 242743814401 is an apocalyptic number.

It is an amenable number.

42743814401 is a deficient number, since it is larger than the sum of its proper divisors (1).

42743814401 is an equidigital number, since it uses as much as digits as its factorization.

42743814401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 42743814401 in words is "forty-two billion, seven hundred forty-three million, eight hundred fourteen thousand, four hundred one".