Search a number
-
+
214423442141 is a prime number
BaseRepresentation
bin1100011110110010100…
…0100001001011011101
3202111110112112110111012
43013230220201023131
512003114400122031
6242301010305005
721330420120506
oct3075450411335
9674415473435
10214423442141
1182a33496817
1235681b88165
13172b258971c
14a541901bad
15589e84bb2b
hex31eca212dd

214423442141 has 2 divisors, whose sum is σ = 214423442142. Its totient is φ = 214423442140.

The previous prime is 214423442089. The next prime is 214423442153. The reversal of 214423442141 is 141244324412.

214423442141 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., 201416952025 + 13006490116 = 448795^2 + 114046^2 .

It is a cyclic number.

It is not a de Polignac number, because 214423442141 - 226 = 214356333277 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214423442098 and 214423442107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214423442041) 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, 107211721070 + 107211721071.

It is an arithmetic number, because the mean of its divisors is an integer number (107211721071).

Almost surely, 2214423442141 is an apocalyptic number.

It is an amenable number.

214423442141 is a deficient number, since it is larger than the sum of its proper divisors (1).

214423442141 is an equidigital number, since it uses as much as digits as its factorization.

214423442141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24576, while the sum is 32.

Adding to 214423442141 its reverse (141244324412), we get a palindrome (355667766553).

The spelling of 214423442141 in words is "two hundred fourteen billion, four hundred twenty-three million, four hundred forty-two thousand, one hundred forty-one".