82946913767128668

Names of 82946913767128668

• Cardinal: 82946913767128668 can be written as Eighty-two quadrillion, nine hundred forty-six trillion, nine hundred thirteen billion, seven hundred sixty-seven million, one hundred twenty-eight thousand, six hundred sixty-eight.

Scientific notation

• Scientific notation: 8.2946913767128668 × 10¹⁶

Factors of 82946913767128668

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 134465

Divisors of 82946913767128668

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 289 372 431 527 578 862 867 961 1054 1156 1293 1581 1724 1734 1922 2108 2586 2883 3162 3468 3844 5172 5766 6324 7327 8959 11532 13361 14654 16337 17918 21981 26722 26877 29308 32674 35836 40083 43962 49011 53444 53754 65348 80166 87924 98022 107508 124559 133981 160332 185761 196044 227137 249118 267962 277729 371522 373677 401943 414191 454274 498236 535924 555458 557283 681411 743044 747354 803886 828382 833187 908548 1110916 1114566 1242573 1362822 1494708 1607772 1656764 1666374 2229132 2277677 2485146 2725644 3157937 3332748 3861329 4153411 4555354 4970292 5758591 6315874 6833031 7041247 7722658 8306822 9110708 9473811 11517182 11583987 12460233 12631748 13666062 14082494 15445316 16613644 17275773 18947622 21123741 23034364 23167974 24920466 27332124 28164988 34551546 37895244 38720509 42247482 46335948 49840932 53684929 57745811 69103092 70607987 77441018 84494964 97896047 107369858 115491622 116161527 119701199 128755741 141215974 154882036 161054787 173237433 178516321 195792094 211823961 214739716 230983244 232323054 239402398 257511482 282431948 293688141 322109574 346474866 357032642 359103597 386267223 391584188 423647922 464646108 478804796 515022964 535548963 587376282 644219148 692949732 714065284 718207194 772534446 847295844 981678787 1071097926 1174752564 1200335779 1436414388 1545068892 1664232799 1790120141 1963357574 2142195852 2188847597 2400671558 2945036361 3034777457 3328465598 3580240282 3601007337 3926715148 4377695194 4801343116 4992698397 5370360423 5890072722 6069554914 6566542791 6656931196 7160480564 7202014674 8755390388 9104332371 9985396794 10740720846 11780145444 12139109828 13133085582 14404029348 16688539379 18208664742 19970793588 21481441692 24888444541 26266171164 30432042397 33377078758 36417329484 37210409149 49776889082 50065618137 51591216769 55493724371 60864084794 66754157516 74420818298 74665333623 91296127191 99553778164 100131236274 103182433538 110987448742 111631227447 121728169588 148841636596 149330667246 154773650307 166481173113 182592254382 200262472548 206364867076 221974897484 223262454894 298661334492 309547300614 332962346226 365184508764 423103557197 446524909788 517344720749 619094601228 665924692452 771541780771 846207114394 943393314307 1034689441498 1269310671591 1543083561542 1552034162247 1692414228788 1886786628614 2069378882996 2314625342313 2538621343182 2830179942921 3086167123084 3104068324494 3773573257228 4629250684626 5077242686364 5660359885842 6208136648988 7192760472349 9258501369252 11320719771684 13116210273107 14385520944698 16037686343219 21578281417047 23917795203901 26232420546214 28771041889396 32075372686438 39348630819321 43156562834094 47835590407802 48113059029657 52464841092428 64150745372876 71753385611703 78697261638642 86313125668188 95671180815604 96226118059314 143506771223406 157394523277284 192452236118628 222975574642819 287013542446812 406602518466317 445951149285638 668926723928457 813205036932634 891902298571276 1219807555398951 1337853447856914 1626410073865268 2439615110797902 2675706895713828 4879230221595804 6912242813927389 13824485627854778 20736728441782167 27648971255709556 41473456883564334 82946913767128668
• Sum of all divisors σ(n): 212939123050125528
• Sum of proper divisors (its aliquot sum) s(n): 129992209282996860
• 82946913767128668 is an abundant number, because the sum of its proper divisors (129992209282996860) is greater than itself. Its abundance is 47045295515868192

Bases of 82946913767128668

• Binary: 100100110101011111100011101010010010011011111111001011100₂
• Hexadecimal: 0x126AFC7524DFE5C
• Base-36: MOQ864V3LGC

Squares and roots of 82946913767128668

• 82946913767128668 squared (82946913767128668²) is 6880190503491479357290161267454224
• 82946913767128668 cubed (82946913767128668³) is 570690568394525311020110831114992752217862608093632
• The square root of 82946913767128668 is 288005058.5790615383
• The cube root of 82946913767128668 is 436114.0489581993

Scales and comparisons

• 82,946,913,767,128,668 seconds is equal to 2,637,455,286 years, 7 weeks, 3 days, 13 hours, 57 minutes, 48 seconds.
• To count from 1 to 82,946,913,767,128,668 would take you about seven billion, nine hundred twelve million, three hundred sixty-five thousand, eight hundred fifty-eight 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 82946913767128668 cubic inches would be around 36342.8 feet tall.

Recreational maths with 82946913767128668

• 82946913767128668 backwards is 86682176731964928
• 82946913767128668 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 82946913767128668's digits is 93
• More coming soon!