Search a number
-
+
14673190417 is a prime number
BaseRepresentation
bin11011010101001011…
…10001111000010001
31101212121012022012221
431222211301320101
5220022314043132
610424001221041
71026421026544
oct155245617021
941777168187
1014673190417
11624a6a7156
122a16031781
1314cac224c2
149d2a7285b
155ad2abe97
hex36a971e11

14673190417 has 2 divisors, whose sum is σ = 14673190418. Its totient is φ = 14673190416.

The previous prime is 14673190409. The next prime is 14673190421. The reversal of 14673190417 is 71409137641.

14673190417 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., 14551838161 + 121352256 = 120631^2 + 11016^2 .

It is a cyclic number.

It is not a de Polignac number, because 14673190417 - 23 = 14673190409 is a prime.

It is not a weakly prime, because it can be changed into another prime (14673190487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7336595208 + 7336595209.

It is an arithmetic number, because the mean of its divisors is an integer number (7336595209).

Almost surely, 214673190417 is an apocalyptic number.

It is an amenable number.

14673190417 is a deficient number, since it is larger than the sum of its proper divisors (1).

14673190417 is an equidigital number, since it uses as much as digits as its factorization.

14673190417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 14673190417 in words is "fourteen billion, six hundred seventy-three million, one hundred ninety thousand, four hundred seventeen".