A058230 Numbers k such that the product of the lengths of the words in the name of k in American English is equal to k.

4, 24, 84672, 1852200, 829785600, 20910597120, 92215733299200, 1239789303244800000, 887165996513213819259682435576627200000000

Offset: 1

Author

Michael Kleber, Dec 01 2000

Keywords

• dumb
• nonn
• word

Comments

This sequence uses American English spellings; e.g., 84672 ends in "six hundred seventy-two", not "six hundred and seventy-two" (cf. A006944). Also, for purposes of this sequence, hyphens are treated as spaces, so "seventy-two" is counted as two words ("seventy two"). - Jon E. Schoenfield, Nov 18 2018

a(10) > 10^138 if it exists. - Jonathan Pappas, Mar 12 2021

Examples

			84672 = "eighty four thousand six hundred seventy two" = 6*4*8*3*7*7*3 = 84672.
		

Links

• Jonathan Pappas, Python program

Programs

Mathematica

Select[Range[10^5],Times@@StringLength/@StringSplit[StringReplace[#~IntegerName~"Words",{","->"","-"->" "}]]==#&] (* Giorgos Kalogeropoulos, Mar 20 2021 *)

Python

#  See Python program link.
# Jonathan Pappas, Mar 12 2021

Extensions

a(7)-a(9) from Jonathan Pappas, Mar 12 2021