Base | Representation |
---|---|
bin | 10001001101110… |
… | …11110100100000 |
3 | 101001202111210100 |
4 | 20212323310200 |
5 | 243433033344 |
6 | 22155302400 |
7 | 3402404610 |
oct | 1046736440 |
9 | 331674710 |
10 | 144424224 |
11 | 7458406a |
12 | 4044aa00 |
13 | 23bc9029 |
14 | 15276a40 |
15 | ca2c569 |
hex | 89bbd20 |
144424224 has 144 divisors (see below), whose sum is σ = 476461440. Its totient is φ = 40642560.
The previous prime is 144424223. The next prime is 144424261. The reversal of 144424224 is 422424441.
144424224 is a `hidden beast` number, since 14 + 4 + 424 + 224 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144424223) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 142632 + ... + 143640.
It is an arithmetic number, because the mean of its divisors is an integer number (3308760).
Almost surely, 2144424224 is an apocalyptic number.
144424224 is a gapful number since it is divisible by the number (14) 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 144424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238230720).
144424224 is an abundant number, since it is smaller than the sum of its proper divisors (332037216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144424224 is a wasteful number, since it uses less digits than its factorization.
144424224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).
The product of its digits is 8192, while the sum is 27.
The square root of 144424224 is about 12017.6630007668. The cubic root of 144424224 is about 524.6624878285.
Adding to 144424224 its reverse (422424441), we get a palindrome (566848665).
The spelling of 144424224 in words is "one hundred forty-four million, four hundred twenty-four thousand, two hundred twenty-four".
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