1680963968208896

Names of 1680963968208896

• Cardinal: 1680963968208896 can be written as One quadrillion, six hundred eighty trillion, nine hundred sixty-three billion, nine hundred sixty-eight million, two hundred eight thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 1.680963968208896 × 10¹⁵

Factors of 1680963968208896

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 699

Divisors of 1680963968208896

• Number of divisors d(n): 312
• Complete list of divisors:
  1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 392 406 448 464 512 661 784 812 896 928 1024 1322 1421 1568 1624 1792 1856 2048 2644 2842 3136 3248 3584 3712 4096 4627 5288 5684 6272 6496 7168 7424 9254 10576 11368 12544 12992 14336 14848 18508 19169 21152 22736 25088 25984 28672 29696 32389 37016 38338 42304 45472 50176 51968 59392 64778 74032 76676 84608 90944 100352 103936 118784 129556 134183 148064 153352 169216 181888 200704 207872 259112 268366 296128 306704 338432 363776 415744 436921 518224 536732 592256 613408 676864 727552 831488 873842 939281 1036448 1073464 1184512 1226816 1353728 1455104 1747684 1878562 2072896 2146928 2369024 2453632 2707456 2910208 3058447 3495368 3757124 4145792 4293856 4738048 4907264 5820416 6116894 6990736 7514248 8291584 8587712 9476096 9814528 12233788 12670709 13981472 15028496 16583168 17175424 18952192 19629056 21409129 24467576 25341418 27962944 30056992 33166336 34350848 39258112 42818258 48935152 50682836 55925888 60113984 66332672 68701696 78516224 85636516 88694963 97870304 101365672 111851776 120227968 132665344 137403392 171273032 177389926 195740608 202731344 223703552 240455936 274806784 288804781 342546064 354779852 391481216 405462688 447407104 480911872 549613568 577609562 620864741 685092128 709559704 782962432 810925376 894814208 961823744 1155219124 1241729482 1370184256 1419119408 1565924864 1621850752 1789628416 1923647488 2021633467 2310438248 2483458964 2740368512 2838238816 3131849728 3243701504 3847294976 4043266934 4620876496 4966917928 5480737024 5676477632 6263699456 6487403008 8086533868 8375338649 9241752992 9933835856 10961474048 11352955264 12527398912 12974806016 14151434269 16173067736 16750677298 18483505984 19867671712 21922948096 22705910528 25949612032 28302868538 32346135472 33501354596 36967011968 39735343424 43845896192 45411821056 51899224064 56605737076 58627370543 64692270944 67002709192 73934023936 79470686848 87691792384 90823642112 113211474152 117254741086 129384541888 134005418384 147868047872 158941373696 181647284224 226422948304 234509482172 258769083776 268010836768 295736095744 317882747392 363294568448 410391593801 452845896608 469018964344 517538167552 536021673536 591472191488 635765494784 820783187602 905691793216 938037928688 1035076335104 1072043347072 1182944382976 1271530989568 1641566375204 1811383586432 1876075857376 2070152670208 2144086694144 2543061979136 3283132750408 3622767172864 3752151714752 4140305340416 4288173388288 6566265500816 7245534345728 7504303429504 8280610680832 8576346776576 13132531001632 14491068691456 15008606859008 17152693553152 26265062003264 28982137382912 30017213718016 34305387106304 52530124006528 57964274765824 60034427436032 105060248013056 120068854872064 210120496026112 240137709744128 420240992052224 840481984104448 1680963968208896
• Sum of all divisors σ(n): 4051304988026040
• Sum of proper divisors (its aliquot sum) s(n): 2370341019817144
• 1680963968208896 is an abundant number, because the sum of its proper divisors (2370341019817144) is greater than itself. Its abundance is 689377051608248

Bases of 1680963968208896

• Binary: 101111110001101001111101100001101001001000000000000₂
• Hexadecimal: 0x5F8D3EC349000
• Base-36: GJUO6PGUM8

Squares and roots of 1680963968208896

• 1680963968208896 squared (1680963968208896²) is 2825639862416598322162293538816
• 1680963968208896 cubed (1680963968208896³) is 4749798795857044049383449010095319852972507136
• The square root of 1680963968208896 is 40999560.5855586701
• The cube root of 1680963968208896 is 118901.1718181803

Scales and comparisons

• 1,680,963,968,208,896 seconds is equal to 53,449,454 years, 32 weeks, 3 days, 21 hours, 34 minutes, 56 seconds.
• To count from 1 to 1,680,963,968,208,896 would take you about one hundred sixty million, three hundred forty-eight thousand, three hundred sixty-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 1680963968208896 cubic inches would be around 9908.4 feet tall.

Recreational maths with 1680963968208896

• 1680963968208896 backwards is 6988028693690861
• The number of decimal digits it has is: 16
• The sum of 1680963968208896's digits is 89
• More coming soon!