Base | Representation |
---|---|
bin | 111101100100010011… |
… | …0000001000001100000 |
3 | 110122021020202211102012 |
4 | 1323020212001001200 |
5 | 4131233343141434 |
6 | 140423302012052 |
7 | 12360253043630 |
oct | 1731046010140 |
9 | 418236684365 |
10 | 132214427744 |
11 | 51087663503 |
12 | 2175a417028 |
13 | c6108b81c9 |
14 | 65836206c0 |
15 | 368c4803ce |
hex | 1ec8981060 |
132214427744 has 144 divisors (see below), whose sum is σ = 307180067040. Its totient is φ = 54872432640.
The previous prime is 132214427701. The next prime is 132214427749. The reversal of 132214427744 is 447724412231.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132214427749) 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, 73903202 + ... + 73904990.
It is an arithmetic number, because the mean of its divisors is an integer number (2133194910).
Almost surely, 2132214427744 is an apocalyptic number.
132214427744 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 132214427744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153590033520).
132214427744 is an abundant number, since it is smaller than the sum of its proper divisors (174965639296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132214427744 is a wasteful number, since it uses less digits than its factorization.
132214427744 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2121 (or 2076 counting only the distinct ones).
The product of its digits is 301056, while the sum is 41.
Adding to 132214427744 its reverse (447724412231), we get a palindrome (579938839975).
The spelling of 132214427744 in words is "one hundred thirty-two billion, two hundred fourteen million, four hundred twenty-seven thousand, seven hundred forty-four".
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