million

million
	1000000
presentation
dual	1111 0100 0010 0100 0000
Octal	364 1100
Duodecimal	40 2854
Hexadecimal	F 4240
Morse code	- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Mathematical properties
sign	positive
parity	straight
Factorization
Divider	All numbers that are neither divisible by nor by a prime number other than 2 and 5 (see running text).

Emergency note: one million marks, Munich (1923)

Million (abbreviation million , Mill. ) Is a numerical word and denotes the number 1,000,000 = 10 ⁶ .

Linguistic

The number word million comes from Italian . It is made up of the numeral mille , which is also Latin, for "thousand" and the suffix -one , which means "great thousand". It came from Italian as a loan word in many European languages.

The million is a noun in German and is declined accordingly, for information with fractions over a million or information with decimal places, finally for all numbers from 2,000,000 so in the plural: half a million, one million, 0.8 million, one and a half Millions, two million etc. As an ordinal number , however, it is always written together: the (one) millionth, two millionth, etc. B. for 1,204,613 "one million two hundred four thousand six hundred thirteen".

According to DIN 5008 , the million is abbreviated to million . German language dictionaries also know Mill. As shorthand, but a likelihood of confusion with the reading billion is, as its abbreviated billion not all readers may be familiar. In the metric system is the Greek prefix mega (from the Greek. Μέγας Megas "large") for the millions of value, the prefix micro- (v. Greek. Gr. Μικρός, microphones "small") for a millionth.

Colloquially, million is also abbreviated as mille . This is what the rapper Casper called his thank you song for 500,000 Facebook fans Halbe Mille .

Since the (ancient) Greek language has a simple word for “ten thousand” (μύριοι, myriad ), the numerical word for the million is formed as “one hundred times ten thousand”, Greek εκατομμύριο ( ekatommýrio ). The same applies to the Chinese number system and the number systems derived from it in East Asia. In India , the Hindi words Lakh for 100,000 and Crore for 10 million are also used in English instead of million and billion . Accordingly, one does not write 200,805,300, but 20,08,05,300 (twenty crore eight lakh five thousand three hundred).

Unit of measure prefixes

When referring to units of measurement , the million times the unit of measurement is designated with the prefix Mega (abbreviated: M), whereas the millionth part (10 ⁻⁶ ) is denoted by micro (abbreviated: μ). For example, a micrometer (μm) is a millionth of a meter (10 ⁻⁶ m).

When referring to the unit of measurement byte in computer science, the term megabyte (MB) is now understood to mean exactly one million bytes. That is 10 ⁶ bytes and not 2 ²⁰ = 1 048 576 bytes, which exceeds a million bytes by almost 5%. The designation Mebibyte (abbreviated: MiB) is suggested for naming 2 ²⁰ bytes ; Mebi (Mi) is a binary prefix while Mega (M) is a decimal prefix.

Math

1 million = 1,000,000 = 10 ⁶ ; the million is therefore a power of ten (number of steps) with the exponent 6.
1 million = 1000 x 1000 = 1000 ² ; so the million is a square number .
1 million = 100 x 100 x 100 = 100 ³ ; so the million is also a cube number .
1 million is an even number.

Divider

Factoring is . This results in so ways a power of two ( up ) with a power of five ( to multiply). The number 1,000,000 has the following 49 factors: ${\ displaystyle 2 ^ {6} \ cdot 5 ^ {6}}$ ${\ displaystyle (6 + 1) \ cdot (6 + 1)}$ ${\ displaystyle 7 \ cdot 7 = 49}$ ${\ displaystyle 2 ^ {0}}$ ${\ displaystyle 2 ^ {6}}$ ${\ displaystyle 5 ^ {0}}$ ${\ displaystyle 5 ^ {6}}$

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 625, 800, 1,000, 1,250, 1,600, 2,000, 2,500, 3,125, 4,000, 5,000, 6,250, 8,000, 10,000, 12,500, 15,625, 20,000, 25,000, 31,250, 40,000, 50,000, 62,500, 100,000, 125,000, 200,000, 250,000, 500,000, 1,000,000

The role in naming giant numbers

In German, the number names of giant numbers are based on one million and an exponent n , which corresponds to a corresponding Latin numeral for n > 1. 1000000 ⁿ denotes an “n-illion” and 1000000 ^{n + 0.5} denotes an “n-illiard”. So one calls z. E.g. the number 1 000 000 000 000 000 000 = 10 ^{6 3} = 1 000 000 ³ one trillion and the number 10 ⁵¹ = 10 ^{6 8.5} = 1 000 000 ^8.5 one octilliard. For the differences in English and in other languages and other countries, see long and short scale .

natural Science

Analogous to percent and per mille, there is the English expression parts per million (ppm), which stands for one in 1,000,000 parts, i.e. for one millionth.

Culture and society

The million is a synonym for a particularly large amount, especially a large amount of money. In addition to the millionaire as the epitome of the rich person, there are terms such as million dollar loan and million seller .

The farmers in Berlin ( millions of farmers ) who quickly became wealthy through the sale of building land at the end of the 19th century are the subject of a novel and a play by Max Kretzer . The television series The Millionaire Farmer is based on a similar motif .

Million Dollar Baby is the title of an award-winning film by and with Clint Eastwood about the boxing environment.

Million line is the name of a particularly expensive train route in the Netherlands.