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214144444333 is a prime number
BaseRepresentation
bin1100011101110000000…
…0001110011110101101
3202110202002112220110001
43013130000032132231
512002031434204313
6242213202344301
721320461513021
oct3073400163655
9673662486401
10214144444333
11828aaa57616
123560465b091
1317269833271
14a516838381
1558850daadd
hex31dc00e7ad

214144444333 has 2 divisors, whose sum is σ = 214144444334. Its totient is φ = 214144444332.

The previous prime is 214144444309. The next prime is 214144444343. The reversal of 214144444333 is 333444441412.

It is a happy number.

214144444333 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., 213308193609 + 836250724 = 461853^2 + 28918^2 .

It is a cyclic number.

It is not a de Polignac number, because 214144444333 - 213 = 214144436141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214144444292 and 214144444301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214144444343) 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, 107072222166 + 107072222167.

It is an arithmetic number, because the mean of its divisors is an integer number (107072222167).

Almost surely, 2214144444333 is an apocalyptic number.

It is an amenable number.

214144444333 is a deficient number, since it is larger than the sum of its proper divisors (1).

214144444333 is an equidigital number, since it uses as much as digits as its factorization.

214144444333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 221184, while the sum is 37.

Adding to 214144444333 its reverse (333444441412), we get a palindrome (547588885745).

The spelling of 214144444333 in words is "two hundred fourteen billion, one hundred forty-four million, four hundred forty-four thousand, three hundred thirty-three".