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AI Overview: A decagonal number is a figurate number that represents the number of dots that can form a decagon (a 10-sided polygon). The n-th decagonal number can be calculated using the formula: D(n) = n(4n - 3), where n is a positive integer. For example, the first few decagonal numbers are 1, 12, 35, 72, etc. The term 'deca-' signifies a set of ten, reflecting the geometric nature of the decagon.
Decagon
A decagon is a polygon with 10 sides and corners. In a regular decagon, all sides are equal, with each angle measuring 144°, summing to 1440° for all angles. The area can be computed using the side length or the distance between parallel sides. The decagon can be dissected into rhombi, and regular skew decagons exist with vertices in non-planar configurations. Regular skew decagons maintain equal edge lengths and can be seen in various polyhedral forms.
Deca- Prefix
Deca- is a prefix that denotes sets of ten, originating from the Latin word 'Decem'.
Decillion
The term 'Decillion' refers to a large number, often used in mathematical and scientific contexts to denote a value represented as 10^33 in the American system or 10^60 in the European system.
Reverse of a Number
The reverse of a number is a mathematical method that transforms a number into its opposite order; for instance, the reverse of 1234 is 4321. This concept is significant in number theory, particularly in determining whether a number is a Lychrel number.
133 (number)
133 is a natural number that follows 132 and precedes 134. It is classified as an octagonal, Harshad, happy, and semiprime number. In mathematics, the sum of its proper divisors equals φ(n). It appears as a repdigit in bases 11 and 18. In other contexts, 133 is the atomic number of untritrium, an isotope of xenon, and serves as the emergency police number in Chile and Austria. Additionally, it is the title of a song by David Guetta.
75 (number)
Seventy-five is a natural number, situated between seventy-four and seventy-six. It is a self number, the sum of the first five pentagonal numbers, and is classified as a pentagonal pyramidal number and a nonagonal number. As a composite number, its factors include 1, 3, 5, 15, 25, and 75. The first ten multiples of 75 are: 75, 150, 225, 300, 375, 450, 525, 600, 675, and 750. It is also a multiple of 3.
Septendecillion
The term 'Septendecillion' refers to a specific large number. It is typically used in both American and European numerical systems, denoting a value of 10^54 in the American system and 10^102 in the European system. The content has been redirected to the page 'Names of large numbers'.
Quaternary Numeral System
The quaternary numeral system is a base-4 system that uses the digits 0, 1, 2, and 3 to represent real numbers. It allows for easy conversion from binary and is notable for being both a square and highly composite number, providing efficient counting through subitizing. Although it shares properties with other numeral systems, such as a fixed-radix and the capability to represent both rational and irrational numbers, it is not the best choice for identifying prime numbers.
Properties of the Number 146
146 is a natural number that follows 145 and precedes 147. It is a composite number and a semiprime, expressed as 146 = 2 × 73. As an even number, it can be divided by 2. It is classified as a deficient number since the sum of its proper divisors (1, 2, and 73) equals 76, which is less than 146. The digital sums of 146 include the sum of its digits (1 + 4 + 6 = 11) and the product of its digits (1 × 4 × 6 = 24). Additionally, 146 can be represented in various numeral systems: as CXLVI in Roman numerals, 10010010 in binary, 222 in octal, and 92 in hexadecimal.
Names of Large Numbers
A comprehensive resource detailing the nomenclature and categorization of large numbers, including the term 'septillion'. This section serves as a redirect to provide users with a consolidated overview of numerical terms and their respective values.