Base | Representation |
---|---|
bin | 111111110011111… |
… | …0001011000111000 |
3 | 12112012220210101221 |
4 | 1333213301120320 |
5 | 13341112213334 |
6 | 552243521424 |
7 | 104026216231 |
oct | 17747613070 |
9 | 5465823357 |
10 | 2141132344 |
11 | 9a968246a |
12 | 4b9089274 |
13 | 28178cc20 |
14 | 164516088 |
15 | c7e8e8b4 |
hex | 7f9f1638 |
2141132344 has 64 divisors (see below), whose sum is σ = 4593204000. Its totient is φ = 927521280.
The previous prime is 2141132309. The next prime is 2141132369. The reversal of 2141132344 is 4432311412.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210414 + ... + 220354.
Almost surely, 22141132344 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2141132344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296602000).
2141132344 is an abundant number, since it is smaller than the sum of its proper divisors (2452071656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2141132344 is a wasteful number, since it uses less digits than its factorization.
2141132344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10088 (or 10084 counting only the distinct ones).
The product of its digits is 2304, while the sum is 25.
The square root of 2141132344 is about 46272.3712813597. The cubic root of 2141132344 is about 1288.8859929626.
Adding to 2141132344 its reverse (4432311412), we get a palindrome (6573443756).
The spelling of 2141132344 in words is "two billion, one hundred forty-one million, one hundred thirty-two thousand, three hundred forty-four".
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