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2324066012400 = 2435211434094549
BaseRepresentation
bin100001110100011101001…
…000010000110011110000
322020011211011012222101210
4201310131020100303300
5301034141344344100
64535354452200120
7326623344106026
oct41643510206360
98204734188353
102324066012400
118166a3748430
12316505009040
1313b20a262ab2
14806b1cd2716
15406c336bc50
hex21d1d210cf0

2324066012400 has 240 divisors, whose sum is σ = 8310429705600. Its totient is φ = 550307251200.

The previous prime is 2324066012369. The next prime is 2324066012461. The reversal of 2324066012400 is 42106604232.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1479675 + ... + 2614874.

It is an arithmetic number, because the mean of its divisors is an integer number (34626790440).

Almost surely, 22324066012400 is an apocalyptic number.

2324066012400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2324066012400 is an abundant number, since it is smaller than the sum of its proper divisors (5986363693200).

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

2324066012400 is a wasteful number, since it uses less digits than its factorization.

2324066012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094624 (or 4094613 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 2324066012400 in words is "two trillion, three hundred twenty-four billion, sixty-six million, twelve thousand, four hundred".