Search a number
-
+
324113440313344 = 2121126126340763
BaseRepresentation
bin100100110110001111000101…
…0011110100001000000000000
31120111120221102221001210111211
41021230132022132201000000
5314440233311210011334
63105155354200015504
7125161265124334453
oct11154361236410000
91514527387053454
10324113440313344
11942aa813489600
1230427433461594
1310bb09c6680336
145a0726207949a
152770e03814a64
hex126c78a7a1000

324113440313344 has 312 divisors, whose sum is σ = 726877082264256. Its totient is φ = 144354612019200.

The previous prime is 324113440313329. The next prime is 324113440313419. The reversal of 324113440313344 is 443313044311423.

It is a junction number, because it is equal to n+sod(n) for n = 324113440313297 and 324113440313306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7951147107 + ... + 7951187869.

Almost surely, 2324113440313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 324113440313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363438541132128).

324113440313344 is an abundant number, since it is smaller than the sum of its proper divisors (402763641950912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

324113440313344 is a wasteful number, since it uses less digits than its factorization.

324113440313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41133 (or 41100 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

Adding to 324113440313344 its reverse (443313044311423), we get a palindrome (767426484624767).

The spelling of 324113440313344 in words is "three hundred twenty-four trillion, one hundred thirteen billion, four hundred forty million, three hundred thirteen thousand, three hundred forty-four".