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Names for large numbers
Naming very large numbers is relatively easy. There are two main ways of naming a number: scientific notation and naming by grouping. For example, the number 500 000 000 000 000 000 000 can be called 5 x 10^{20} in scientific notation since there are 20 zeros behind the 5. If the number is named by grouping, it is five hundred quintillion (American) or 500 trillion (European).
When large numbers have many different decimals in them, such as 642 500 000 000, naming them with scientific notation is about the same, but with one difference. Still counting the number of numbers after the first number (in this case, after the 6 there are 11 numbers) you need to include the ones that are not zero in the formula, but after a decimal point. So 642 500 000 000 will be 6.425 x 10^{11}. When naming by grouping, each group of the name of the group. With the same number, it would be said to be 642 billion, 500 million (US) or 642 milliard, 500 million (Eur).
Contents
Some examples
Number  Scientific notation  Grouping 

600 000 000 000 000 000 000 000 000  6 x 10^{26}  600 septillion (quadrillion) 
765 476 250 000 000  7.6547625 x 10^{14}  765 trillion, 476 billion, 250 million 
145 000  1.45 x 10^{5}  145 thousands 
Forms of numbering
The American way or "Short form" for naming large numbers is different from the European way or "Long form" of naming large numbers. This is mainly because of American finance. Short form numbering is based on thousands and Long form is based on millions. Because of this, in Short form a billion is one thousand millions (10^{9}) while in Long form it is one million millions (10^{12}). The change in the United Kingdom to Short form numbering happened in 1974. Today, Short form is most commonly used in most English speaking countries.
Names for large numbers
Scientific notation 
American name
(Short Form) 
European name
(Long Form) 
British name
(Long Form) 

10^{0}  One  One  One 
10^{1}  Ten  Ten  Ten 
10^{2}  Hundred  Hundred  Hundred 
10^{3}  Thousand  Thousand  Thousand 
10^{4}  Ten thousand  Ten thousand  Ten thousand 
10^{5}  Hundred thousand  Hundred thousand  Hundred thousand 
10^{6}  Million  Million  Million 
10^{9}  Billion  Milliard  Thousand million 
10^{12}  Trillion  Billion  Billion 
10^{15}  Quadrillion  Billiard  Thousand billion 
10^{18}  Quintillion  Trillion  Trillion 
10^{21}  Sextillion  Trilliard  Thousand trillion 
10^{24}  Septillion  Quadrillion  Quadrillion 
10^{27}  Octillion  Quadrilliard  Thousand quadrillion 
10^{30}  Nonillion  Quintillion  Quintillion 
10^{33}  Decillion  Quintilliard  Thousand quintillion 
10^{36}  Undecillion  Sextillion  Sextillion 
10^{39}  Duodecillion  Sextilliard  Thousand sextillion 
10^{42}  Tredecillion  Septillion  Septillion 
10^{45}  Quattuordecillion  Septilliard  Thousand septillion 
10^{48}  Quindecillion  Octillion  Octillion 
10^{51}  Sexdecillion  Octilliard  Thousand octillion 
10^{54}  Septendecillion  Nonillion  Nonillion 
10^{57}  Octodecillion  Nonilliard  Thousand nonillion 
10^{60}  Novemdecillion  Decillion  Decillion 
10^{63}  Vigintillion  Decilliard  Thousand decillion 
10^{66}  Unvigintillion  Undecillion  Undecillion 
10^{69}  Duovigintillion  Undecilliard  Thousand undecillion 
10^{72}  Trevigintillion  Duodecillion  Duodecillion 
10^{75}  Quattuorvigintillion  Duodecilliard  Thousand duodecillion 
10^{78}  Quinvigintillion  Tredecillion  Tredecillion 
10^{81}  Sexvigintillion  Tredecilliard  Thousand tredecillion 
10^{84}  Septenvigintillion  Quattuordecillion  Quattuordecillion 
10^{87}  Octovigintillion  Quattuordecilliard  Thousand quattuordecillion 
10^{90}  Novemvigintillion  Quindecillion  Quindecillion 
10^{93}  Trigintillion  Quindecilliard  Thousand quindecillion 
10^{96}  Untrigintillion  Sexdecillion  Sexdecillion 
10^{99}  Duotrigintillion  Sexdecilliard  Thousand sexdecillion 
There is also the number googol, which is a 1 with 100 zeros behind it (10^{100}), and the number googolplex, which is a 1 with a googol of zeros behind it, (10^{googol}). And also the number googolplexian, 1 with a googolplex number of zeros behind it.
The name centillion was devised in the 19th century for the 100th "illion", being 10^{303} in short form and 10^{600} in long form.
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