137712691125

Names of 137712691125

• Cardinal: 137712691125 can be written as One hundred thirty-seven billion, seven hundred twelve million, six hundred ninety-one thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.37712691125 × 10¹¹

Factors of 137712691125

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 273

Divisors of 137712691125

• Number of divisors d(n): 384
• Complete list of divisors:
  1 3 5 9 15 19 25 31 37 41 45 57 75 93 95 111 123 125 137 155 171 185 205 225 279 285 333 369 375 411 465 475 555 589 615 685 703 775 779 855 925 1025 1125 1147 1233 1271 1395 1425 1517 1665 1767 1845 2055 2109 2325 2337 2375 2603 2775 2945 3075 3425 3441 3515 3813 3875 3895 4247 4275 4551 4625 5069 5125 5301 5617 5735 6165 6327 6355 6975 7011 7125 7585 7809 8325 8835 9225 10275 10323 10545 11439 11625 11685 12741 13015 13653 13875 14725 15207 15375 16851 17125 17205 17575 19065 19475 21235 21375 21793 22755 23427 24149 25345 26505 28085 28675 28823 30825 31635 31775 34875 35055 37925 38223 39045 41625 44175 45621 46125 47027 50553 51375 51615 52725 57195 58425 63705 65075 65379 68265 72447 73625 76035 80693 84255 86025 86469 87875 95325 96311 97375 106175 106723 108965 113775 117135 120745 126725 132525 140425 141081 143375 144115 154125 157139 158175 158875 174127 175275 189625 191115 195225 196137 207829 217341 220875 228105 235135 242079 252765 258075 259407 263625 285975 288933 292125 318525 320169 325375 326895 341325 362235 380175 403465 421275 423243 430125 432345 471417 476625 481555 522381 530875 533615 544825 568875 585675 603725 623487 633625 662625 702125 705405 720575 726237 785695 790875 866799 870635 876375 893513 955575 960507 976125 980685 1039145 1086705 1140525 1175675 1210395 1263825 1290375 1297035 1414251 1429875 1444665 1567143 1592625 1600845 1634475 1706625 1811175 1870461 1900875 2017325 2106375 2116215 2161725 2357085 2407775 2611905 2668075 2680539 2724125 2928375 2985641 3018625 3117435 3308413 3527025 3602875 3631185 3928475 3948751 4333995 4353175 4467565 4777875 4802535 4903425 5195725 5433525 5702625 5878375 6051975 6319125 6442699 6485175 7071255 7223325 7835715 8004225 8041617 8172375 8956923 9055875 9352305 9925239 10086625 10581075 10808625 11785425 11846253 12038875 13059525 13340375 13402695 14928205 15587175 16542065 17635125 18155925 19328097 19642375 19743755 21669975 21765875 22337825 24012675 24517125 25978625 26870769 27167625 29775717 30259875 32213495 32425875 35356275 35538759 36116625 39178575 40021125 40208085 44784615 46761525 49626195 52905375 57984291 58927125 59231265 65297625 67013475 74641025 77935875 82710325 90779625 96640485 98718775 108349875 111689125 120063375 122411281 134353845 148878585 161067475 176781375 177693795 195892875 201040425 223923075 233807625 248130975 289921455 296156325 335067375 367233843 373205125 413551625 483202425 493593875 612056405 671769225 744392925 805337375 888468975 1005202125 1101701529 1119615375 1240654875 1449607275 1480781625 1836169215 2416012125 3060282025 3358846125 3721964625 4442344875 5508507645 7248036375 9180846075 15301410125 27542538225 45904230375 137712691125
• Sum of all divisors σ(n): 285864284160
• Sum of proper divisors (its aliquot sum) s(n): 148151593035
• 137712691125 is an abundant number, because the sum of its proper divisors (148151593035) is greater than itself. Its abundance is 10438901910

Bases of 137712691125

• Binary: 10000000010000010100001110011110110101₂
• Hexadecimal: 0x201050E7B5
• Base-36: 1R9IKWJ9

Squares and roots of 137712691125

• 137712691125 squared (137712691125²) is 18964785296889653765625
• 137712691125 cubed (137712691125³) is 2611691619842506312233708767578125
• The square root of 137712691125 is 371096.6061890083
• The cube root of 137712691125 is 5164.0605010333

Scales and comparisons

• 137,712,691,125 seconds is equal to 4,378 years, 43 weeks, 3 days, 21 hours, 18 minutes, 45 seconds.
• To count from 1 to 137,712,691,125 would take you about eight thousand, seven hundred fifty-seven 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 137712691125 cubic inches would be around 430.3 feet tall.

Recreational maths with 137712691125

• 137712691125 backwards is 521196217731
• 137712691125 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 137712691125's digits is 45
• More coming soon!