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Monday, May 28, 2007

Numbers

Numerical Words

There are several interesting observations that can be made about numbers,
as spelled out in English words. Here are a few:


Miscellaneous Facts
Eight is the first number alphabetically. Zero is the last.
Four is the only number that, spelled out, has as many letters.
The only integer names with no repeated letters are zero, one, two, four, five, six, eight, ten, forty, forty-six, sixty, sixty-one, sixty-four, eighty, eighty-four and five thousand.
The shortest names for numbers are one, two, six and ten. The longest names for numbers have 758 letters each, and there are 984, 770, 902, 183, 611, 232, 881 (or 344) such numbers. the smallest of these is 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373, 373 and the largest of these is 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878, 878.
Forty is the only number whose letters are in alphabetical order. One is the only number whose letters are in reverse alphabetical order. First also has its letters in alphabetical order.
The smallest number whose name uses the five vowels a, e, i, o, u in order is 1084 (one thousand eighty-four)
The smallest number whose name uses the five vowels a, e, i, o, u in any order is 1005 (one thousand five).
The smallest number whose name uses the six vowels a, e, i, o, u, y in order is 1, 000, 000, 000, 008, 020 (one quadrillion eight thousand twenty)
The smallest number whose name uses the six vowels a, e, i, o, u, y (in any order) is 1025 (one thousand twenty-five)
The largest number whose name uses only one distinct vowel is seventeen (using only e)
Eighty-six, nine letters long, is the longest number that is normally typed using strictly alternating hands (ignoring the hyphen).
The word interchangeability contains the letters to form more numbers than any other word. Its letters can form the words three, eight, nine, ten, thirteen, thirty-nine, eighty, eighty-nine, ninety and ninety-eight.
Zenzizenzizenzic (eighth power of a number) has more z's than any other word in English.

First Appearances of Letters
One thousand is the first number that, when spelled out, contains an a. (One hundred and one if you count the 'and'.)
One billion is the first number that contains a b.
One octillion is the first number that contains a c.
One hundred is the first number that contains a d.
Zero is the first number that contains an e. Starting from one, it's one.
Four is the first number that contains an f.
Eight is the first number that contains a g.
Three is the first number that contains an h.
Five is the first number that contains an i.
The letters J and k do not appear in the spelling of any cardinal number.
Eleven is the first number that contains an l.
One million is the first number that contains an m.
One is the first number that contains an n.
Zero is the first number that contains an o. starting from one, it's one.
One septillion is the first number that contains a p.
One quadrillion is the first number that contains a q.
Zero is the first number that contains an r. Starting from one, it's three.
Six is the first number that contains an s.
Two is the first number that contains a t.
Four is the first number that contains a u.
Five is the first number that contains a v.
Two is the first number that contains a w.
Six is the first number that contains an x.
Twenty is the first number that contains a y.
Zero is the first and only number that contains a z. (One zillion is not a real number.)

Seven is the first number not to contain any letter for the first time.
One octillion, the first number containing a c, is the largest number to contain any letter for the first time.

Roman Numerals
The first Roman numeral alphabetically is C (100); the last is XXXVIII (38). The first odd Roman nemeral alphabetically is CCCI (301); the last is XXXVII (37).
MIX is the longest English word that is also a valid number in Roman numerals.
DIVIDIVI (a tropical American tree) is the longest word composed solely of Roman numeral letters. Some other such words of four or more letters are CIMICIC (a yellow oil), CIMICIC (an insect), CIVIC, CIVIL, CIXIID (one of the Cixiidae, a family of insects of the order Homoptera), DILL, DILLI (a bag or basket also called a dilly bag), DIXID (a type of midge), IDIC (pertaining to or consisting of ids), ILICIC, IMID (variant spelling of imide), IMIDIC (related to an imide), IMMI (unit of measure formerly used in Switzerland = 1.51) IMMIX, IXIL (a Mayan tribe), LIL, LIVID, MIDI, MILD, MILL, MIMI (girl's name), CLIM (dialect word, past tense of climb), MIMIC, VILI (a brother of Odin in Norse mythology), VILL, VILLI (plural of villus) and VIVID.
BACILLICIDIC (destructive to bacilli) and MILLIMILLINARY (correct within a millionth part) have the longest uninterrupted string of Roman numeral letters in a word (10).
Among words consisting only of Roman numeral letters, the words with highest total value are MIMIC (2,102) and IMMIX (2,012).

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Monday, May 21, 2007