Large integers refer to integer values that exceed the typical range supported by standard data types in programming languages. In many programming languages, built-in integer types have limitations on the size they can represent due to memory constraints.
"Powers of ten" is a mathematical concept that refers to the notation of expressing numbers as a base of ten raised to an exponent. In this notation, a number is written in the form \(10^n\), where \(n\) is an integer. This concept helps in understanding and representing very large or very small numbers more conveniently.
The number 113 is a natural number that follows 112 and precedes 114. It is an interesting number in several mathematical contexts: 1. **Prime Number**: 113 is a prime number, meaning it is greater than 1 and has no positive divisors other than 1 and itself. 2. **Odd Number**: 113 is an odd number since it is not divisible by 2.
A **weird number** is a specific type of integer in number theory that has a unique property regarding its divisors. Specifically, a weird number is defined as a positive integer that is abundant, meaning that the sum of its proper divisors (factors excluding the number itself) is greater than the number, but no subset of these divisors sums to the number itself.
The number 117 is an integer that comes after 116 and before 118. It is an odd number and can be expressed in various mathematical and contextual representations. Here are a few interesting facts about the number 117: 1. **Mathematical Properties**: - It is a composite number, meaning it has factors other than 1 and itself. The factors of 117 are 1, 3, 9, 13, 39, and 117.
The number 1093 is a positive integer that follows 1092 and precedes 1094. It is an odd number and has several mathematical properties: - **Prime Factorization**: 1093 is a prime number. This means it has no positive divisors other than 1 and itself. - **Numeral Representation**: In Roman numerals, 1093 is represented as MXCIII.
The number 29 is a natural number that comes after 28 and before 30. It is an odd prime number, which means it has no positive divisors other than 1 and itself. Here are some interesting properties and facts about the number 29: 1. **Mathematical Properties**: - It is the 10th prime number. - It is a safe prime, as \( (29 - 1) / 2 = 14 \) is prime.
The number 1728 is significant in various contexts: 1. **Mathematics**: It is a composite number and can be factored into prime numbers as \( 2^6 \times 3^3 \). It is also a perfect cube, specifically \( 12^3 \). 2. **Measurement**: In terms of volume, 1728 is the number of cubic inches in a cubic foot.
The number 1510 is an integer that comes after 1509 and before 1511. It can be expressed in various numerical forms and contexts, such as: - In Roman numerals, 1510 is written as MDX. - In binary, it is represented as 10111011110. - In terms of its prime factorization, 1510 can be expressed as \(2 \times 5 \times 151\).
The number 157 is an integer that comes after 156 and before 158. It is an odd number and can be represented in various forms: - In Roman numerals, 157 is written as CLVII. - In binary, it is represented as 10011101. - In hexadecimal, it is represented as 9D. Mathematically, 157 is a prime number, meaning it has no divisors other than 1 and itself.
The number 161 can refer to a variety of contexts, depending on the subject matter. Here are a few interpretations: 1. **Mathematical Properties**: - 161 is an integer that is an odd number. - It can be expressed as the product of prime factors: \(161 = 7 \times 23\). - It is also a palindromic number in certain bases (e.g., base 10).
The number 226 is an integer that falls between 225 and 227. It can be expressed in various ways: 1. **Mathematical Properties**: - It is an even number, as it is divisible by 2. - It can be factored into prime factors: \( 226 = 2 \times 113 \). - It is not a prime number since it has divisors other than 1 and itself.
The number 233 is an integer that comes after 232 and before 234. It is an odd number and a prime number, meaning it has no divisors other than 1 and itself. Additionally, 233 is the 13th number in the Fibonacci sequence, which is a series of numbers where each number is the sum of the two preceding ones. In terms of its properties, 233 can be represented in different numerical systems, and it can also be expressed in various mathematical contexts.
179 is a natural number that comes after 178 and before 180. It is an odd number and can be classified as a prime number, as it has no divisors other than 1 and itself. In various contexts, 179 may also hold different meanings or significance, such as in mathematics, science, or cultural references.
The number 194 is an integer that falls between 193 and 195. It is an even number and can be factored into prime numbers as \(2 \times 97\). In terms of its properties: - It is a composite number. - Its divisors are 1, 2, 97, and 194. - In Roman numerals, 194 is written as CXCIV.
The number 204 is an integer that follows 203 and precedes 205. It is an even number and can be represented in various ways in mathematics: 1. **Prime Factorization**: 204 can be factored into prime numbers: \(204 = 2^2 \times 3 \times 17\). 2. **Binary Representation**: In binary, 204 is written as \(11001100_2\).
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 3. Visual Studio Code extension installation.
Figure 4. Visual Studio Code extension tree navigation.
Figure 5. Web editor. You can also edit articles on the Web editor without installing anything locally.Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. 
- Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact