The common colloquialism, " . . . for the Umpteenth time . . . " is used to express a large number, but exactly how large? Most people intuitively know that Umpteen is greater than "several" but much smaller than a "gazillion" but few know its exact value.
To find the precise value, start with the number "Ump". This is a lesser known constant represented by the symbol ü. (The umlaut or "rock dots" express how tough this number is. Don't mess with it.) It is found by multiplying pi times Euler's constant (e).
ü = πe
This calculates to approximately 8.53973422267. To get Umpteen, simply add 10. So if your mom says "I told you for the Umpteenth time to pick up your socks", she has told you about 18 and a half times. So pick up your damn socks already.