Search a number
-
+
15435313322489 is a prime number
BaseRepresentation
bin1110000010011101000001…
…0111100001100111111001
32000122121020112011101211022
43200213100113201213321
54010343010202304424
652454515100512225
73152110311321434
oct340472027414771
960577215141738
1015435313322489
114a11096a77815
12189357324b675
1387c70b9654c8
143b5104a2481b
151bb79437e95e
hexe09d05e19f9

15435313322489 has 2 divisors, whose sum is σ = 15435313322490. Its totient is φ = 15435313322488.

The previous prime is 15435313322431. The next prime is 15435313322491. The reversal of 15435313322489 is 98422331353451.

15435313322489 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., 11261125177600 + 4174188144889 = 3355760^2 + 2043083^2 .

It is a cyclic number.

It is not a de Polignac number, because 15435313322489 - 228 = 15435044887033 is a prime.

It is a super-3 number, since 3×154353133224893 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 15435313322491, 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 15435313322489.

It is not a weakly prime, because it can be changed into another prime (15435213322489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7717656661244 + 7717656661245.

It is an arithmetic number, because the mean of its divisors is an integer number (7717656661245).

Almost surely, 215435313322489 is an apocalyptic number.

It is an amenable number.

15435313322489 is a deficient number, since it is larger than the sum of its proper divisors (1).

15435313322489 is an equidigital number, since it uses as much as digits as its factorization.

15435313322489 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9331200, while the sum is 53.

The spelling of 15435313322489 in words is "fifteen trillion, four hundred thirty-five billion, three hundred thirteen million, three hundred twenty-two thousand, four hundred eighty-nine".