Search a number
-
+
13944119041 is a prime number
BaseRepresentation
bin11001111110010001…
…00101111100000001
31022222210022122022101
430333020211330001
5212024143302131
610223354510401
71002356025166
oct147710457401
938883278271
1013944119041
115a06101026
122851a35401
131412b74a18
14963ccc06d
15569295c61
hex33f225f01

13944119041 has 2 divisors, whose sum is σ = 13944119042. Its totient is φ = 13944119040.

The previous prime is 13944119029. The next prime is 13944119047. The reversal of 13944119041 is 14091144931.

13944119041 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., 8183916225 + 5760202816 = 90465^2 + 75896^2 .

It is a cyclic number.

It is not a de Polignac number, because 13944119041 - 211 = 13944116993 is a prime.

It is not a weakly prime, because it can be changed into another prime (13944119047) 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, 6972059520 + 6972059521.

It is an arithmetic number, because the mean of its divisors is an integer number (6972059521).

Almost surely, 213944119041 is an apocalyptic number.

It is an amenable number.

13944119041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13944119041 is an equidigital number, since it uses as much as digits as its factorization.

13944119041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 13944119041 in words is "thirteen billion, nine hundred forty-four million, one hundred nineteen thousand, forty-one".