Search a number
-
+
321469516244041 = 112372440532
BaseRepresentation
bin100100100010111111111010…
…0010100100110010001001001
31120011020012000022110222102221
41021011333310110212101021
5314113424032124302131
63055413020151254041
7124466256202501324
oct11105776424462111
91504205008428387
10321469516244041
1193480502254900
123007ab4267a321
1310a4b5a3451919
1459552c994b7bb
15272725e75a411
hex1245ff4526449

321469516244041 has 27 divisors (see below), whose sum is σ = 363167164504053. Its totient is φ = 284340046209120.

The previous prime is 321469516244003. The next prime is 321469516244059. The reversal of 321469516244041 is 140442615964123.

It is a happy number.

The square root of 321469516244041 is 17929571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 130393081402441 + 191076434841600 = 11418979^2 + 13823040^2 .

It is a de Polignac number, because none of the positive numbers 2k-321469516244041 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 321469516244041.

It is not an unprimeable number, because it can be changed into a prime (321469516244741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7297313371 + ... + 7297357423.

Almost surely, 2321469516244041 is an apocalyptic number.

321469516244041 is the 17929571-st square number.

321469516244041 is the 8964786-th centered octagonal number.

It is an amenable number.

321469516244041 is a deficient number, since it is larger than the sum of its proper divisors (41697648260012).

321469516244041 is an frugal number, since it uses more digits than its factorization.

321469516244041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88202 (or 44101 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 321469516244041 in words is "three hundred twenty-one trillion, four hundred sixty-nine billion, five hundred sixteen million, two hundred forty-four thousand, forty-one".

Divisors: 1 11 37 121 407 1369 4477 15059 44053 165649 484583 1629961 5330413 17929571 60308557 197225281 663394127 1940666809 7297335397 21347334899 71804671933 234820683889 789851391263 2656772861521 8688365303893 29224501476731 321469516244041