# Mathematically Self-Describing Sentences

Continuing what I started here

• The first nine multiples of the number of letters in this sentence are three hundred and twenty-eight, six hundred and fifty-six, nine hundred and eighty-four, one thousand three hundred and twelve, one thousand six hundred and forty, one thousand nine hundred and sixty-eight, two thousand two hundred and ninety-six, two thousand six hundred and twenty-four, and two thousand nine hundred and fifty-two.
• This sentence has three words with three letters, nine words with four letters, seven words with five letters and zero words with six letters.
• The first nine powers of the number of letters in this sentence are one thousand three hundred and seventy-eight, one million eight hundred and ninety-eight thousand eight hundred and eighty-four, two billion six hundred and sixteen million six hundred and sixty-two thousand one hundred and fifty-two, three trillion six hundred and five billion seven hundred and sixty million four hundred and forty-five thousand four hundred and fifty-six, four quadrillion nine hundred and sixty-eight trillion seven hundred and thirty-seven billion eight hundred and ninety-three million eight hundred and thirty-eight thousand three hundred and sixty-eight, six quintillion eight hundred and forty-six quadrillion nine hundred and twenty trillion eight hundred and seventeen billion seven hundred and nine million two hundred and seventy-one thousand one hundred and four, nine sextillion four hundred and thirty-five quintillion fifty-six quadrillion eight hundred and eighty-six trillion eight hundred and three billion three hundred and seventy-five million five hundred and eighty-one thousand three hundred and twelve, thirteen septillion one sextillion five hundred and eight quintillion three hundred and ninety quadrillion fifteen trillion fifty-one billion five hundred and fifty-one million forty-seven thousand nine hundred and thirty-six, and seventeen octillion nine hundred and sixteen septillion seventy-eight sextillion five hundred and sixty-one quintillion four hundred and forty quadrillion seven hundred and forty-one trillion thirty-seven billion three hundred and forty-four million fifty-five thousand eight hundred and eight.
• The number of letters in this sentence is the square root of seven thousand two hundred and twenty-five.
• The number of letters in this sentence is the square root of seven thousand three hundred and ninety-six.
• The number of letters in this sentence is the cube root of one million four hundred and forty-two thousand eight hundred and ninety-seven.
• The number of letters in this sentence is the cube root of nine hundred and seventy thousand two hundred and ninety-nine.
• The number of letters in this sentence is the cube root of one million two hundred and fifty-nine thousand seven hundred and twelve.
• The number of letters in this sentence is the fourth root of three hundred and twenty-two million four hundred and seventeen thousand nine hundred and thirty-six.
• The number of letters in this sentence is the fifth root of one hundred and thirty-three billion eight hundred and twenty-seven million eight hundred and twenty-one thousand five hundred and sixty-eight.
• The number of letters in this sentence is the sixth root of thirty-two trillion eight hundred and ninety-four billion one hundred and thirteen million four hundred and forty-four thousand nine hundred and twenty-one.
• The number of letters in this sentence is the seventh root of eighteen quadrillion six hundred and nineteen trillion eight hundred and ninety-three billion two hundred and sixty-two million five hundred and twelve thousand five hundred and seventy-one.
• The number of letters in this sentence is the eighth root of seven quintillion five hundred and sixty-two quadrillion eight hundred and twenty-one trillion six hundred and forty-eight billion nine hundred and twenty million twenty-seven thousand three hundred and sixty-one.
• The number of letters in this sentence is the ninth root of eight sextillion nine hundred and ninety-four quintillion eight hundred and fifty-six quadrillion six hundred and nine trillion three hundred and forty-four billion four hundred and eighty-two million four hundred and twenty-one thousand eight hundred and seventy-five.
• The number of letters in this sentence is the tenth root of six septillion seven hundred and forty-one sextillion one hundred and seventy-eight quintillion six hundred and forty-one quadrillion one hundred and seventeen trillion two hundred and eighty-six billion three hundred and sixty-eight million two hundred and eighty thousand five hundred and seventy-six.
• The number of letters in this sentence is the eleventh root of seven octillion two hundred and forty-nine septillion three hundred and thirty-four sextillion nine hundred and ninety quintillion nine hundred and ninety-four quadrillion two hundred and fifty-eight trillion seven hundred and twelve billion three hundred and eighty-one million one hundred and twenty-one thousand seven hundred and forty-one.
• The number of letters in this sentence is the twelfth root of seven nonillion nine hundred and eighty-four octillion six hundred and seventeen septillion nine hundred and twenty sextillion four hundred and twenty-six quintillion seven hundred and twenty-eight quadrillion seven hundred and seventy-five trillion eight hundred and fifty-two billion six hundred and seventy-five million three hundred and one thousand three hundred and seventy-six.
• The number of letters in this sentence is the thirteenth root of five decillion one hundred and sixty nonillion eight hundred and twenty-one octillion eight hundred and ninety-three septillion three hundred and eighty-one sextillion one hundred and thirty-eight quintillion two hundred and fifteen quadrillion seven hundred and fifty-seven trillion five hundred and twenty-two billion three hundred and eleven million fifty-three thousand three hundred and twelve.
• The number of letters in this sentence is the seventeenth root of fifty-five quattuordecillion six hundred and fifty-six tredecillion six hundred and eighty-eight duodecillion seven hundred and thirty-eight undecillion three hundred and twenty decillion four hundred and ninety-three nonillion nine hundred and thirty-four octillion eight hundred and eighty-six septillion eight hundred and eighty-five sextillion two hundred and sixty-five quintillion seven hundred and forty-eight quadrillion nine hundred and eighty-eight trillion one hundred and sixty-three billion one hundred and fifty million four hundred and forty-six thousand five hundred and ninety-two.
• The number of letters in this sentence is the nineteenth root of thirty-five sexdecillion two hundred and ninety-four quindecillion one hundred and thirty-four quattuordecillion eight hundred and twenty-eight tredecillion three hundred and forty-eight duodecillion seven hundred and eleven undecillion eight hundred and one decillion eight hundred and eight nonillion three hundred and eleven octillion four hundred and seventy septillion one hundred and twenty-four sextillion ninety quintillion eight hundred and fifty-seven quadrillion five hundred and eighteen trillion five billion two hundred and sixty million five hundred and thirty-five thousand four hundred and forty-seven.
• The natural logarithm of the number of letters in this sentence raised to its own power and rounded down to the nearest integer is two thousand eight hundred and eighty-eight.
• If you count the number of letters in this sentence, then factor it into primes and count the number of letters that it takes to write out the largest of those primes, subtract that from the total number in this sentence and square the result, the number you'd end up with would be nine hundred and ninety-nine billion nine hundred and ninety-nine million eight hundred and eighty thousand two hundred and eighty-four less than a trillion.
• If you created a binary number with one digit for each word in this sentence, where a digit is one if and only if the corresponding word is at least as early in the sentence as it would be if the words were sorted lexicographically, then the result would be four octillion nine hundred and fifty-two septillion three hundred and eighty-four sextillion eight hundred and ninety-four quintillion three hundred and twenty quadrillion two hundred and fifteen trillion six hundred and twenty billion seven hundred and forty-eight million five hundred and forty-one thousand nine hundred and fifty-one.