137210217617928020

Names of 137210217617928020

• Cardinal: 137210217617928020 can be written as One hundred thirty-seven quadrillion, two hundred ten trillion, two hundred seventeen billion, six hundred seventeen million, nine hundred twenty-eight thousand and twenty.

Scientific notation

• Scientific notation: 1.3721021761792802 × 10¹⁷

Factors of 137210217617928020

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 505

Divisors of 137210217617928020

• Number of divisors d(n): 150
• Complete list of divisors:
  1 2 4 5 10 19 20 38 76 95 190 361 380 479 722 958 1444 1805 1916 2395 3610 4790 6859 7220 9101 9580 13718 18202 27436 34295 36404 45505 68590 91010 130321 137180 172919 182020 229441 260642 345838 458882 521284 651605 691676 864595 917764 1147205 1303210 1729190 2294410 2606420 3285461 3458380 4359379 4588820 6570922 8718758 13141844 16427305 17437516 21796895 32854610 43593790 62423759 65709220 82828201 87187580 109902239 124847518 165656402 219804478 249695036 312118795 331312804 414141005 439608956 549511195 624237590 828282010 1099022390 1248475180 1573735819 1656564020 2088142541 2198044780 3147471638 4176285082 6294943276 7868679095 8352570164 10440712705 15737358190 20881425410 29900980561 31474716380 39674708279 41762850820 52643172481 59801961122 79349416558 105286344962 119603922244 149504902805 158698833116 198373541395 210572689924 263215862405 299009805610 396747082790 526431724810 598019611220 753819457301 793494165580 1000220277139 1052863449620 1507638914602 2000440554278 3015277829204 3769097286505 4000881108556 5001101385695 7538194573010 10002202771390 14322569688719 15076389146020 19004185265641 20004405542780 28645139377438 38008370531282 57290278754876 71612848443595 76016741062564 95020926328205 143225696887190 190041852656410 286451393774380 361079520047179 380083705312820 722159040094358 1444318080188716 1805397600235895 3610795200471790 6860510880896401 7221590400943580 13721021761792802 27442043523585604 34302554404482005 68605108808964010 137210217617928020
• Sum of all divisors σ(n): 304785488268265242
• Sum of proper divisors (its aliquot sum) s(n): 167575270650337222
• 137210217617928020 is an abundant number, because the sum of its proper divisors (167575270650337222) is greater than itself. Its abundance is 30365053032409202

Bases of 137210217617928020

• Binary: 111100111011101111111011101001000101010111010111101010100₂
• Hexadecimal: 0x1E777F748ABAF54
• Base-36: 11J0YNSAVMTW

Squares and roots of 137210217617928020

• 137210217617928020 squared (137210217617928020²) is 18826643818759164810995717901120400
• 137210217617928020 cubed (137210217617928020³) is 2583207895387164412626576007795772818244684553608000
• The square root of 137210217617928020 is 370418975.7800321169
• The cube root of 137210217617928020 is 515777.2129021355

Scales and comparisons

• 137,210,217,617,928,020 seconds is equal to 4,362,860,501 years, 9 weeks, 2 days, 17 hours, 20 minutes, 20 seconds.
• To count from 1 to 137,210,217,617,928,020 would take you about thirteen billion, eighty-eight million, five hundred eighty-one thousand, five 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 137210217617928020 cubic inches would be around 42981.4 feet tall.

Recreational maths with 137210217617928020

• 137210217617928020 backwards is 020829716712012731
• The number of decimal digits it has is: 18
• The sum of 137210217617928020's digits is 59
• More coming soon!