Base | Representation |
---|---|
bin | 1111101110111000… |
… | …0001000001000000 |
3 | 101220022120221110202 |
4 | 3323232001001000 |
5 | 32122111102000 |
6 | 1535020344332 |
7 | 206440063115 |
oct | 37356010100 |
9 | 11808527422 |
10 | 4223144000 |
11 | 1877944659 |
12 | 99a3a50a8 |
13 | 523c2019a |
14 | 2c0c3c90c |
15 | 19ab51dd5 |
hex | fbb81040 |
4223144000 has 112 divisors (see below), whose sum is σ = 10616062080. Its totient is φ = 1663833600.
The previous prime is 4223143997. The next prime is 4223144021. The reversal of 4223144000 is 4413224.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 532061 + ... + 539939.
Almost surely, 24223144000 is an apocalyptic number.
4223144000 is a gapful number since it is divisible by the number (40) 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 4223144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308031040).
4223144000 is an abundant number, since it is smaller than the sum of its proper divisors (6392918080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4223144000 is an equidigital number, since it uses as much as digits as its factorization.
4223144000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7973 (or 7953 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
The square root of 4223144000 is about 64985.7215086514. The cubic root of 4223144000 is about 1616.3868057501.
Adding to 4223144000 its reverse (4413224), we get a palindrome (4227557224).
The spelling of 4223144000 in words is "four billion, two hundred twenty-three million, one hundred forty-four thousand".
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