137144185745293388431

Names of 137144185745293388431

• Cardinal: 137144185745293388431 can be written as One hundred thirty-seven quintillion, one hundred forty-four quadrillion, one hundred eighty-five trillion, seven hundred forty-five billion, two hundred ninety-three million, three hundred eighty-eight thousand, four hundred thirty-one.

Scientific notation

• Scientific notation: 1.37144185745293388431 × 10²⁰

Factors of 137144185745293388431

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 174

Divisors of 137144185745293388431

• Number of divisors d(n): 280
• Complete list of divisors:
  1 7 11 59 77 97 121 413 649 679 847 1067 1331 3481 4543 5723 7139 7469 9317 9409 11737 14641 24367 38291 40061 49973 62953 65863 78529 82159 102487 103499 129107 161051 205379 268037 337657 421201 440671 549703 555131 692483 724493 863819 903749 912673 1127357 1138489 1420177 1437653 1771561 2259169 2363599 2948407 3714227 3885917 4633211 4847381 6046733 6106441 6388711 7617313 7969423 9502009 9941239 10039403 12117361 12400927 12523379 15621947 15814183 19921763 24850859 25999589 32432477 32752729 40856497 42745087 50965321 53321191 53847707 66514063 67170851 70275821 83790443 84821527 87663653 104522099 109353629 110433433 133290971 137757169 139452341 171841417 173956013 219139393 229269103 273359449 285995479 356757247 360280019 376933949 449421467 470195957 560618531 586533101 592324777 731654693 738879361 773034031 921694873 933036797 964300183 1175384017 1202889919 1214767763 1466200681 1515328859 1533975751 1913516143 1932411011 2410533323 2521960133 3006953939 3145950269 3177014713 3924329717 3963080209 4146273439 4943636137 5172155527 6166803841 6451864111 6515572547 8127672971 8227688119 8503374341 10138643603 10263404767 10607302013 12929224187 13362445393 13526877077 16128207491 16668617449 16873733261 21048677573 21256521121 22239102991 26515866553 27741561463 33076493329 34605452959 34947161843 43167626887 43593882299 45609007829 54379997507 56893710797 70970505221 71671298017 89404402681 90504569309 93537117751 112897452437 114012249649 116680322143 142221466057 146986899323 148795647847 177410282401 185611065871 187443868067 231535453303 233821732331 244630132901 291674532083 305157176093 363841426619 380659982549 384418780273 479532705289 501699086119 598179972577 625830818767 788384278187 798085747543 983448429491 995550262399 1028908295261 1241871976807 1254134746139 1312107076469 1564436126627 1616855892553 1636752126317 1951513106411 2041721724581 2061882548737 2546889986333 2572039055641 2690931461911 3208419852913 3356728937023 4187259808039 4228606583003 5274859758179 5518689947309 6884139006437 8672227060057 8778943222973 10951052886389 11059188215953 11317991247871 13660591744877 13795482207529 14433177841159 17208797392897 18004273389487 21466644170521 22458938970391 22680708036107 28292429612051 29600246081021 35292618382043 36924018307253 46514672413033 58023457339969 60705589420399 77414317511671 95394497660627 96568375452703 120461581750279 121651070375483 150266509193647 151750304282819 158764956252749 189296771321867 198047007284357 247048328674301 249487788397177 311216725732561 325602706891231 406164201379783 511661396543363 667761483624389 851557492628381 1062252129979733 1325077399253069 1338161774130313 1669253347111009 1746414518780239 2082264484540537 2178517080127927 2744365672368947 3423383983058171 3581629775803541 5628275361976993 9367132418912191 11684773429777063 14575851391783759 14719779515433443 18361786818221099 19210559706582629 23963687881407197 30188022396058417 39397927533838951 103038456608034101 128532507727547693 161917574669767873 201979655000432089 211316156772408919 332068246356642587 1133423022688375111 1413857585003024623 1781093321367446603 2324477724496498109 12467653249572126221 19592026535041912633 137144185745293388431
• Sum of all divisors σ(n): 177209305676971678880
• Sum of proper divisors (its aliquot sum) s(n): 40065119931678290449
• 137144185745293388431 is a deficient number, because the sum of its proper divisors (40065119931678290449) is less than itself. Its deficiency is 97079065813615097982

Bases of 137144185745293388431

• Binary: 1110110111101000010000001100101000001110110011001110010101010001111₂
• Hexadecimal: 0x76F42065076672A8F
• Base-36: SXYGKGANOHUVJ

Squares and roots of 137144185745293388431

• 137144185745293388431 squared (137144185745293388431²) is 18808527683739534239978082308961444641761
• 137144185745293388431 cubed (137144185745293388431³) is 2579480214254267504433893931072444789036220623379884616866991
• The square root of 137144185745293388431 is 11710857600.7606457631
• The cube root of 137144185745293388431 is 5156944.6104719353

Scales and comparisons

• 137,144,185,745,293,388,431 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,144,185,745,293,388,431 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 137144185745293388431 cubic inches would be around 429745.4 feet tall.

Recreational maths with 137144185745293388431

• 137144185745293388431 backwards is 134883392547581441731
• The number of decimal digits it has is: 21
• The sum of 137144185745293388431's digits is 91
• More coming soon!