Other than when writing checks and playing word games, we seldom spell out numbers since the numerical forms are so much shorter. But today you need to think about the letters. Using the standard U.S. spellings of the positive integers, how many of these do you know, and how many can you figure out?

## Notable Numbers Questions

- Q1) What is the only integer whose value equals the number of letters in its name?
- Q2) What is the only integer whose letters are in alphabetical order when spelled out?
- Q3) What is the lowest positive integer whose standard name contains the letter 'a'?
- Q4) What is the lowest positive integer whose standard name contains the letter 'b'?
- Q5) What is the lowest positive integer whose standard name contains the letter 'c'?
- Q6) What are the lowest positive integers A, B, C, and D such that A+B=C+D mathematically, and the letters in A and B can be anagrammed to form C and D?
- Q7) Among the numbers from 1 to 100, which comes first in alphabetical order when spelled out?
- Q8) Among the numbers from 1 to 100, which comes last in alphabetical order when spelled out?
- Q9) What is the lowest positive integer that contains the five vowels in any order when spelled out?
- Q10) What is the highest integer whose standard name only contains one of the five vowels (but repeated)?
- Q11) What is the highest integer whose standard name does
*not* contain the letter 'n' (ignore the nonstandard "googol" and "googolplex" for this question and the next)? - Q12) What is the highest integer whose name has no repeated letters anywhere ("zero" and "one" are the lowest with no repeated letters, and "three" and "seven" are the lowest with a repeated letter)?

## 2 comments:

Why isn't one quadrillion one thousand a smaller integer than one quadrillion one hundred thousand?

Indeed, you're right! Thanks for the correction.

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