Search a number
-
+
2124244332000 = 25335372809847
BaseRepresentation
bin11110111010010110110…
…101000010110111100000
321112002001020110212102000
4132322112311002313200
5234300423022111000
64303510412124000
7306320516621160
oct36722665026740
97462036425360
102124244332000
117499836013aa
122a3839166600
13125413b7999b
1474b5778c5a0
153a3ca8bd000
hex1ee96d42de0

2124244332000 has 384 divisors, whose sum is σ = 8836859566080. Its totient is φ = 485541388800.

The previous prime is 2124244331947. The next prime is 2124244332019. The reversal of 2124244332000 is 2334424212.

2124244332000 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 24 + 433 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648924 + ... + 2160923.

It is an arithmetic number, because the mean of its divisors is an integer number (23012655120).

Almost surely, 22124244332000 is an apocalyptic number.

2124244332000 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 2124244332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418429783040).

2124244332000 is an abundant number, since it is smaller than the sum of its proper divisors (6712615234080).

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

2124244332000 is a wasteful number, since it uses less digits than its factorization.

2124244332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809888 (or 2809864 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2124244332000 its reverse (2334424212), we get a palindrome (2126578756212).

The spelling of 2124244332000 in words is "two trillion, one hundred twenty-four billion, two hundred forty-four million, three hundred thirty-two thousand".