137142248808334400

Names of 137142248808334400

• Cardinal: 137142248808334400 can be written as One hundred thirty-seven quadrillion, one hundred forty-two trillion, two hundred forty-eight billion, eight hundred eight million, three hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.371422488083344 × 10¹⁷

Factors of 137142248808334400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 33600122317

Divisors of 137142248808334400

• Number of divisors d(n): 84
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 2551 5102 10204 12755 20408 25510 40816 51020 63775 81632 102040 127550 163264 204080 255100 408160 510200 816320 1020400 2040800 4081600 33600119759 67200239518 134400479036 168000598795 268800958072 336001197590 537601916144 672002395180 840002993975 1075203832288 1344004790360 1680005987950 2150407664576 2688009580720 3360011975900 5376019161440 6720023951800 10752038322880 13440047903600 26880095807200 53760191614400 85713905505209 171427811010418 342855622020836 428569527526045 685711244041672 857139055052090 1371422488083344 1714278110104180 2142847637630225 2742844976166688 3428556220208360 4285695275260450 5485689952333376 6857112440416720 8571390550520900 13714224880833440 17142781101041800 27428449761666880 34285562202083600 68571124404167200 137142248808334400
• Sum of all divisors σ(n): 337587929655546240
• Sum of proper divisors (its aliquot sum) s(n): 200445680847211840
• 137142248808334400 is an abundant number, because the sum of its proper divisors (200445680847211840) is greater than itself. Its abundance is 63303432038877440

Bases of 137142248808334400

• Binary: 111100111001110100010011000001111111010110100010001000000₂
• Hexadecimal: 0x1E73A260FEB4440
• Base-36: 11ICVBCGJRY8

Squares and roots of 137142248808334400

• 137142248808334400 squared (137142248808334400²) is 18807996408207098156866902223360000
• 137142248808334400 cubed (137142248808334400³) is 2579370923000597582619623372079901801858371584000000
• The square root of 137142248808334400 is 370327218.5626306349
• The cube root of 137142248808334400 is 515692.0332559405

Scales and comparisons

• 137,142,248,808,334,400 seconds is equal to 4,360,699,303 years, 14 weeks, 2 days, 18 hours, 13 minutes, 20 seconds.
• To count from 1 to 137,142,248,808,334,400 would take you about thirteen billion, eighty-two million, ninety-seven thousand, nine hundred nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 137142248808334400 cubic inches would be around 42974.3 feet tall.

Recreational maths with 137142248808334400

• 137142248808334400 backwards is 004433808842241731
• The number of decimal digits it has is: 18
• The sum of 137142248808334400's digits is 62
• More coming soon!