137608743806294400

Names of 137608743806294400

• Cardinal: 137608743806294400 can be written as One hundred thirty-seven quadrillion, six hundred eight trillion, seven hundred forty-three billion, eight hundred six million, two hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 1.376087438062944 × 10¹⁷

Factors of 137608743806294400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 4778081382173

Divisors of 137608743806294400

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 4778081382163 9556162764326 14334244146489 19112325528652 23890406910815 28668488292978 38224651057304 43002732439467 47780813821630 57336976585956 71671220732445 76449302114608 86005464878934 95561627643260 114673953171912 119452034554075 143342441464890 152898604229216 172010929757868 191123255286520 215013662197335 229347906343824 238904069108150 286684882929780 305797208458432 344021859515736 358356103662225 382246510573040 430027324394670 458695812687648 477808138216300 573369765859560 611594416916864 688043719031472 716712207324450 764493021146080 860054648789340 917391625375296 955616276432600 1075068310986675 1146739531719120 1376087438062944 1433424414648900 1528986042292160 1720109297578680 1834783250750592 1911232552865200 2150136621973350 2293479063438240 2752174876125888 2866848829297800 3057972084584320 3440218595157360 3822465105730400 4300273243946700 4586958126876480 5504349752251776 5733697658595600 6880437190314720 7644930211460800 8600546487893400 9173916253752960 11467395317191200 13760874380629440 15289860422921600 17201092975786800 22934790634382400 27521748761258880 34402185951573600 45869581268764800 68804371903147200 137608743806294400
• Sum of all divisors σ(n): 491019533238083460
• Sum of proper divisors (its aliquot sum) s(n): 353410789431789060
• 137608743806294400 is an abundant number, because the sum of its proper divisors (353410789431789060) is greater than itself. Its abundance is 215802045625494660

Bases of 137608743806294400

• Binary: 111101000111000100110110001100100100011111101100110000000₂
• Hexadecimal: 0x1E8E26C648FD980
• Base-36: 11MY886TSGW0

Squares and roots of 137608743806294400

• 137608743806294400 squared (137608743806294400²) is 18936166371946367393989059471360000
• 137608743806294400 cubed (137608743806294400³) is 2605782066950534983671693359722066413504528384000000
• The square root of 137608743806294400 is 370956525.4936141435
• The cube root of 137608743806294400 is 516276.0874122357

Scales and comparisons

• 137,608,743,806,294,400 seconds is equal to 4,375,532,401 years, 12 weeks, 6 days, 8 hours.
• To count from 1 to 137,608,743,806,294,400 would take you about thirteen billion, one hundred twenty-six million, five hundred ninety-seven thousand, two hundred three 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 137608743806294400 cubic inches would be around 43023 feet tall.

Recreational maths with 137608743806294400

• 137608743806294400 backwards is 004492608347806731
• 137608743806294400 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137608743806294400's digits is 72
• More coming soon!