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4184714361241 is a prime number
BaseRepresentation
bin111100111001010100011…
…010011011100110011001
3112211001110221100111000201
4330321110122123212121
51022030243334024431
612522233051502201
7611223060113461
oct74712432334631
915731427314021
104184714361241
111373800186167
12577038457961
1324480335b73b
141067812c4ba1
1573cc24e6461
hex3ce5469b999

4184714361241 has 2 divisors, whose sum is σ = 4184714361242. Its totient is φ = 4184714361240.

The previous prime is 4184714361239. The next prime is 4184714361281. The reversal of 4184714361241 is 1421634174814.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3820574527641 + 364139833600 = 1954629^2 + 603440^2 .

It is a cyclic number.

It is not a de Polignac number, because 4184714361241 - 21 = 4184714361239 is a prime.

Together with 4184714361239, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 4184714361191 and 4184714361200.

It is not a weakly prime, because it can be changed into another prime (4184714361281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2092357180620 + 2092357180621.

It is an arithmetic number, because the mean of its divisors is an integer number (2092357180621).

Almost surely, 24184714361241 is an apocalyptic number.

It is an amenable number.

4184714361241 is a deficient number, since it is larger than the sum of its proper divisors (1).

4184714361241 is an equidigital number, since it uses as much as digits as its factorization.

4184714361241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 516096, while the sum is 46.

The spelling of 4184714361241 in words is "four trillion, one hundred eighty-four billion, seven hundred fourteen million, three hundred sixty-one thousand, two hundred forty-one".