Base | Representation |
---|---|
bin | 111111111001011… |
… | …0101101010010000 |
3 | 12112102101011221100 |
4 | 1333302311222100 |
5 | 13342333032144 |
6 | 552430024400 |
7 | 104062661211 |
oct | 17762655220 |
9 | 5472334840 |
10 | 2144033424 |
11 | a00284055 |
12 | 4ba048100 |
13 | 282267540 |
14 | 164a6d408 |
15 | c8364269 |
hex | 7fcb5a90 |
2144033424 has 120 divisors (see below), whose sum is σ = 6540206400. Its totient is φ = 651707136.
The previous prime is 2144033371. The next prime is 2144033443. The reversal of 2144033424 is 4243304412.
It is a happy number.
2144033424 is a `hidden beast` number, since 214 + 403 + 3 + 42 + 4 = 666.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148477 + ... + 162275.
It is an arithmetic number, because the mean of its divisors is an integer number (54501720).
Almost surely, 22144033424 is an apocalyptic number.
2144033424 is a gapful number since it is divisible by the number (24) 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 2144033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270103200).
2144033424 is an abundant number, since it is smaller than the sum of its proper divisors (4396172976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2144033424 is a wasteful number, since it uses less digits than its factorization.
2144033424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 13909 (or 13900 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
The square root of 2144033424 is about 46303.7085339825. The cubic root of 2144033424 is about 1289.4678461259.
Adding to 2144033424 its reverse (4243304412), we get a palindrome (6387337836).
The spelling of 2144033424 in words is "two billion, one hundred forty-four million, thirty-three thousand, four hundred twenty-four".
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