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2324320240000 = 27541117251619
BaseRepresentation
bin100001110100101100010…
…010000100000110000000
322020012110212121002002211
4201310230102010012000
5301040201440140000
64535440013151504
7326632552026253
oct41645422040600
98205425532084
102324320240000
118168141a9390
1231657618b594
1313b24ab25825
14806d798d09a
15406da8387ba
hex21d2c484180

2324320240000 has 640 divisors, whose sum is σ = 6721051075200. Its totient is φ = 791040000000.

The previous prime is 2324320239977. The next prime is 2324320240007. The reversal of 2324320240000 is 420234232.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2324320240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3754959691 + ... + 3754960309.

It is an arithmetic number, because the mean of its divisors is an integer number (10501642305).

Almost surely, 22324320240000 is an apocalyptic number.

2324320240000 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 2324320240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360525537600).

2324320240000 is an abundant number, since it is smaller than the sum of its proper divisors (4396730835200).

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

2324320240000 is a wasteful number, since it uses less digits than its factorization.

2324320240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 2324320240000 its reverse (420234232), we get a palindrome (2324740474232).

The spelling of 2324320240000 in words is "two trillion, three hundred twenty-four billion, three hundred twenty million, two hundred forty thousand".