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434443139247281 is a prime number
BaseRepresentation
bin110001011000111111010110…
…0111111010110110010110001
32002222020100200100022202202012
41202301332230333112302301
5423420404022121403111
64135552231204132305
7160336323662646143
oct14261765477266261
92088210610282665
10434443139247281
1111647733421769a
1240885ba8397095
1315854a73663388
14793d235596c93
153535ce2b9048b
hex18b1facfd6cb1

434443139247281 has 2 divisors, whose sum is σ = 434443139247282. Its totient is φ = 434443139247280.

The previous prime is 434443139247193. The next prime is 434443139247283. The reversal of 434443139247281 is 182742931344434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 417167553102400 + 17275586144881 = 20424680^2 + 4156391^2 .

It is a cyclic number.

It is not a de Polignac number, because 434443139247281 - 218 = 434443138985137 is a prime.

It is a super-2 number, since 2×4344431392472812 (a number of 30 digits) contains 22 as substring.

Together with 434443139247283, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 434443139247281.

It is not a weakly prime, because it can be changed into another prime (434443139247283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217221569623640 + 217221569623641.

It is an arithmetic number, because the mean of its divisors is an integer number (217221569623641).

Almost surely, 2434443139247281 is an apocalyptic number.

It is an amenable number.

434443139247281 is a deficient number, since it is larger than the sum of its proper divisors (1).

434443139247281 is an equidigital number, since it uses as much as digits as its factorization.

434443139247281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 55738368, while the sum is 59.

The spelling of 434443139247281 in words is "four hundred thirty-four trillion, four hundred forty-three billion, one hundred thirty-nine million, two hundred forty-seven thousand, two hundred eighty-one".