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114986435329 is a prime number
BaseRepresentation
bin110101100010110111…
…0011100001100000001
3101222210121021010201001
41223011232130030001
53340443011412304
6124453554212001
711210320400533
oct1530556341401
9358717233631
10114986435329
1144846932847
121a350884001
13aac65b955c
1457cb553853
152ecec6eda4
hex1ac5b9c301

114986435329 has 2 divisors, whose sum is σ = 114986435330. Its totient is φ = 114986435328.

The previous prime is 114986435309. The next prime is 114986435383. The reversal of 114986435329 is 923534689411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97873871104 + 17112564225 = 312848^2 + 130815^2 .

It is a cyclic number.

It is not a de Polignac number, because 114986435329 - 219 = 114985911041 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114986435329.

It is not a weakly prime, because it can be changed into another prime (114986435309) 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, 57493217664 + 57493217665.

It is an arithmetic number, because the mean of its divisors is an integer number (57493217665).

Almost surely, 2114986435329 is an apocalyptic number.

It is an amenable number.

114986435329 is a deficient number, since it is larger than the sum of its proper divisors (1).

114986435329 is an equidigital number, since it uses as much as digits as its factorization.

114986435329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5598720, while the sum is 55.

The spelling of 114986435329 in words is "one hundred fourteen billion, nine hundred eighty-six million, four hundred thirty-five thousand, three hundred twenty-nine".