Search a number
-
+
2324104014232 = 2372112135876421
BaseRepresentation
bin100001110100011111011…
…001001110100110011000
322020011220210201200010001
4201310133121032212120
5301034231111423412
64535402330502344
7326624315112400
oct41643731164630
98204823650101
102324104014232
11816713143800
123165158949b4
1313b2150a9ca0
14806b6d85800
15406c6876957
hex21d1f64e998

2324104014232 has 288 divisors, whose sum is σ = 6011646273360. Its totient is φ = 834287731200.

The previous prime is 2324104014203. The next prime is 2324104014247.

2324104014232 is nontrivially palindromic in base 10.

2324104014232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2324104014232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 361950382 + ... + 361956802.

Almost surely, 22324104014232 is an apocalyptic number.

2324104014232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324104014232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005823136680).

2324104014232 is an abundant number, since it is smaller than the sum of its proper divisors (3687542259128).

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

2324104014232 is a wasteful number, since it uses less digits than its factorization.

2324104014232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7041 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 2324104014232 in words is "two trillion, three hundred twenty-four billion, one hundred four million, fourteen thousand, two hundred thirty-two".