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214323254441 = 232405147929
BaseRepresentation
bin1100011110011010101…
…0010101010010101001
3202111012120000101210122
43013212222111102221
512002413223120231
6242243031053025
721325062414212
oct3074652252251
9674176011718
10214323254441
118299198726a
1235654511175
13172978ab66a
14a5324a2409
155895b5b77b
hex31e6a954a9

214323254441 has 6 divisors (see below), whose sum is σ = 224046805290. Its totient is φ = 205004851568.

The previous prime is 214323254399. The next prime is 214323254459. The reversal of 214323254441 is 144452323412.

214323254441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 193955683216 + 20367571225 = 440404^2 + 142715^2 .

It is not a de Polignac number, because 214323254441 - 214 = 214323238057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214323254461) 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 in 5 ways as a sum of consecutive naturals, for example, 202573436 + ... + 202574493.

It is an arithmetic number, because the mean of its divisors is an integer number (37341134215).

Almost surely, 2214323254441 is an apocalyptic number.

It is an amenable number.

214323254441 is a deficient number, since it is larger than the sum of its proper divisors (9723550849).

214323254441 is an equidigital number, since it uses as much as digits as its factorization.

214323254441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405147975 (or 405147952 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

Adding to 214323254441 its reverse (144452323412), we get a palindrome (358775577853).

The spelling of 214323254441 in words is "two hundred fourteen billion, three hundred twenty-three million, two hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 23 529 405147929 9318402367 214323254441