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42314141 is a prime number
BaseRepresentation
bin1010000101101…
…0100110011101
32221121210002102
42201122212131
541313023031
64110534445
71022443562
oct241324635
987553072
1042314141
1121981271
1212207425
1389c6c6c
145896869
153aac7cb
hex285a99d

42314141 has 2 divisors, whose sum is σ = 42314142. Its totient is φ = 42314140.

The previous prime is 42314137. The next prime is 42314143. The reversal of 42314141 is 14141324.

42314141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35402500 + 6911641 = 5950^2 + 2629^2 .

It is a cyclic number.

It is not a de Polignac number, because 42314141 - 22 = 42314137 is a prime.

Together with 42314143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42314143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21157070 + 21157071.

It is an arithmetic number, because the mean of its divisors is an integer number (21157071).

Almost surely, 242314141 is an apocalyptic number.

It is an amenable number.

42314141 is a deficient number, since it is larger than the sum of its proper divisors (1).

42314141 is an equidigital number, since it uses as much as digits as its factorization.

42314141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 384, while the sum is 20.

The square root of 42314141 is about 6504.9320519126. The cubic root of 42314141 is about 348.4671496323.

Adding to 42314141 its reverse (14141324), we get a palindrome (56455465).

The spelling of 42314141 in words is "forty-two million, three hundred fourteen thousand, one hundred forty-one".