Search a number
-
+
442837141 is a prime number
BaseRepresentation
bin11010011001010…
…010100010010101
31010212021110100121
4122121102202111
51401331242031
6111535311541
713655024245
oct3231224225
91125243317
10442837141
11207a7410a
1210437b5b1
137098c616
1442b55b25
1528d26011
hex1a652895

442837141 has 2 divisors, whose sum is σ = 442837142. Its totient is φ = 442837140.

The previous prime is 442837111. The next prime is 442837159. The reversal of 442837141 is 141738244.

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., 340402500 + 102434641 = 18450^2 + 10121^2 .

It is a cyclic number.

It is not a de Polignac number, because 442837141 - 223 = 434448533 is a prime.

It is a super-2 number, since 2×4428371412 = 392209466898107762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442837097 and 442837106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442837111) 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, 221418570 + 221418571.

It is an arithmetic number, because the mean of its divisors is an integer number (221418571).

Almost surely, 2442837141 is an apocalyptic number.

It is an amenable number.

442837141 is a deficient number, since it is larger than the sum of its proper divisors (1).

442837141 is an equidigital number, since it uses as much as digits as its factorization.

442837141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21504, while the sum is 34.

The square root of 442837141 is about 21043.6959919117. The cubic root of 442837141 is about 762.2217655819.

The spelling of 442837141 in words is "four hundred forty-two million, eight hundred thirty-seven thousand, one hundred forty-one".