Search a number
-
+
2312432442320 = 245711313238649
BaseRepresentation
bin100001101001100111101…
…101101101101111010000
322012001210101121101101212
4201221213231231233100
5300341330201123240
64530152232315252
7326032142306060
oct41514755555720
98161711541355
102312432442320
11811773913000
123141b8b42b28
1313a0a4cb7910
147dccac1b3a0
1540241d7d165
hex21a67b6dbd0

2312432442320 has 320 divisors, whose sum is σ = 7278359155200. Its totient is φ = 665312440320.

The previous prime is 2312432442317. The next prime is 2312432442401. The reversal of 2312432442320 is 232442342132.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9570356 + ... + 9809004.

It is an arithmetic number, because the mean of its divisors is an integer number (22744872360).

Almost surely, 22312432442320 is an apocalyptic number.

2312432442320 is a gapful number since it is divisible by the number (20) 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 2312432442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639179577600).

2312432442320 is an abundant number, since it is smaller than the sum of its proper divisors (4965926712880).

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

2312432442320 is a wasteful number, since it uses less digits than its factorization.

2312432442320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238715 (or 238687 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2312432442320 its reverse (232442342132), we get a palindrome (2544874784452).

The spelling of 2312432442320 in words is "two trillion, three hundred twelve billion, four hundred thirty-two million, four hundred forty-two thousand, three hundred twenty".