Search a number
-
+
13144321353 = 319307751147
BaseRepresentation
bin11000011110111011…
…00110110101001001
31020221001100201010210
430033131212311021
5203404421240403
610012144231333
7643504613412
oct141735466511
936831321123
1013144321353
1156356991a9
12266a00b549
131316262c57
148c99b6809
1551de5db03
hex30f766d49

13144321353 has 16 divisors (see below), whose sum is σ = 18508286720. Its totient is φ = 8274624336.

The previous prime is 13144321349. The next prime is 13144321453. The reversal of 13144321353 is 35312344131.

It is a happy number.

It is not a de Polignac number, because 13144321353 - 22 = 13144321349 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13144321353.

It is not an unprimeable number, because it can be changed into a prime (13144321343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358075 + ... + 393072.

It is an arithmetic number, because the mean of its divisors is an integer number (1156767920).

Almost surely, 213144321353 is an apocalyptic number.

It is an amenable number.

13144321353 is a deficient number, since it is larger than the sum of its proper divisors (5363965367).

13144321353 is a wasteful number, since it uses less digits than its factorization.

13144321353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751476.

The product of its digits is 12960, while the sum is 30.

Adding to 13144321353 its reverse (35312344131), we get a palindrome (48456665484).

The spelling of 13144321353 in words is "thirteen billion, one hundred forty-four million, three hundred twenty-one thousand, three hundred fifty-three".

Divisors: 1 3 19 57 307 921 5833 17499 751147 2253441 14271793 42815379 230602129 691806387 4381440451 13144321353