Base | Representation |
---|---|
bin | 10001001101001… |
… | …11110001110100 |
3 | 101001121100011220 |
4 | 20212213301310 |
5 | 243422422012 |
6 | 22153430340 |
7 | 3401613354 |
oct | 1046476164 |
9 | 331540156 |
10 | 144342132 |
11 | 74528420 |
12 | 4040b3b0 |
13 | 23b9a85c |
14 | 15254b64 |
15 | ca1308c |
hex | 89a7c74 |
144342132 has 48 divisors (see below), whose sum is σ = 370706112. Its totient is φ = 43348480.
The previous prime is 144342131. The next prime is 144342137. The reversal of 144342132 is 231243441.
144342132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (144342131) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10078 + ... + 19754.
It is an arithmetic number, because the mean of its divisors is an integer number (7723044).
Almost surely, 2144342132 is an apocalyptic number.
144342132 is a gapful number since it is divisible by the number (12) 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 144342132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185353056).
144342132 is an abundant number, since it is smaller than the sum of its proper divisors (226363980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144342132 is a wasteful number, since it uses less digits than its factorization.
144342132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9808 (or 9806 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
The square root of 144342132 is about 12014.2470425741. The cubic root of 144342132 is about 524.5630613959.
Adding to 144342132 its reverse (231243441), we get a palindrome (375585573).
The spelling of 144342132 in words is "one hundred forty-four million, three hundred forty-two thousand, one hundred thirty-two".
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