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224044136441 is a prime number
BaseRepresentation
bin1101000010101000010…
…0100011011111111001
3210102022000120101000022
43100222010203133321
512132320244331231
6250531403220225
722121010511106
oct3205204433771
9712260511008
10224044136441
118702008a844
1237507b17675
13181867cca48
14abb5529aad
155c64282c7b
hex342a1237f9

224044136441 has 2 divisors, whose sum is σ = 224044136442. Its totient is φ = 224044136440.

The previous prime is 224044136411. The next prime is 224044136443. The reversal of 224044136441 is 144631440422.

224044136441 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., 203888371600 + 20155764841 = 451540^2 + 141971^2 .

It is a cyclic number.

It is not a de Polignac number, because 224044136441 - 214 = 224044120057 is a prime.

Together with 224044136443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (224044136443) 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, 112022068220 + 112022068221.

It is an arithmetic number, because the mean of its divisors is an integer number (112022068221).

Almost surely, 2224044136441 is an apocalyptic number.

It is an amenable number.

224044136441 is a deficient number, since it is larger than the sum of its proper divisors (1).

224044136441 is an equidigital number, since it uses as much as digits as its factorization.

224044136441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 224044136441 its reverse (144631440422), we get a palindrome (368675576863).

The spelling of 224044136441 in words is "two hundred twenty-four billion, forty-four million, one hundred thirty-six thousand, four hundred forty-one".