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2143999000 = 2353112132947
BaseRepresentation
bin111111111001010…
…1101010000011000
312112102022102201101
41333302231100120
513342330432000
6552425201144
7104062455643
oct17762552030
95472272641
102143999000
11a00260200
124ba0301b4
13282254980
14164a60a5a
15c8358e6a
hex7fcad418

2143999000 has 384 divisors, whose sum is σ = 6274195200. Its totient is φ = 680064000.

The previous prime is 2143998991. The next prime is 2143999001. The reversal of 2143999000 is 9993412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143999001) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45616977 + ... + 45617023.

It is an arithmetic number, because the mean of its divisors is an integer number (16339050).

Almost surely, 22143999000 is an apocalyptic number.

2143999000 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 2143999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137097600).

2143999000 is an abundant number, since it is smaller than the sum of its proper divisors (4130196200).

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

2143999000 is a wasteful number, since it uses less digits than its factorization.

2143999000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 2143999000 is about 46303.3368128043. The cubic root of 2143999000 is about 1289.4609449774.

The spelling of 2143999000 in words is "two billion, one hundred forty-three million, nine hundred ninety-nine thousand".