Base | Representation |
---|---|
bin | 10001001100010… |
… | …00100100111100 |
3 | 101001100211212120 |
4 | 20212020210330 |
5 | 243404324312 |
6 | 22151002540 |
7 | 3400541643 |
oct | 1046104474 |
9 | 331324776 |
10 | 144214332 |
11 | 744503a9 |
12 | 40369450 |
13 | 23b54632 |
14 | 1522035a |
15 | c9da28c |
hex | 898893c |
144214332 has 96 divisors (see below), whose sum is σ = 388281600. Its totient is φ = 41352192.
The previous prime is 144214331. The next prime is 144214333. The reversal of 144214332 is 233412441.
It is an interprime number because it is at equal distance from previous prime (144214331) and next prime (144214333).
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 (144214331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111763 + ... + 113045.
It is an arithmetic number, because the mean of its divisors is an integer number (4044600).
Almost surely, 2144214332 is an apocalyptic number.
144214332 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 144214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).
144214332 is an abundant number, since it is smaller than the sum of its proper divisors (244067268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144214332 is a wasteful number, since it uses less digits than its factorization.
144214332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1355 (or 1353 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
The square root of 144214332 is about 12008.9271793945. The cubic root of 144214332 is about 524.4082002719.
Adding to 144214332 its reverse (233412441), we get a palindrome (377626773).
The spelling of 144214332 in words is "one hundred forty-four million, two hundred fourteen thousand, three hundred thirty-two".
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