9968316468544896

Names of 9968316468544896

• Cardinal: 9968316468544896 can be written as Nine quadrillion, nine hundred sixty-eight trillion, three hundred sixteen billion, four hundred sixty-eight million, five hundred forty-four thousand, eight hundred ninety-six.

Scientific notation

• Scientific notation: 9.968316468544896 × 10¹⁵

Factors of 9968316468544896

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 66192

Divisors of 9968316468544896

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 121 128 132 147 154 168 176 192 196 224 231 242 264 294 308 336 352 363 384 392 448 462 484 528 539 588 616 672 704 726 784 847 896 924 968 1056 1078 1176 1232 1344 1408 1452 1568 1617 1694 1848 1936 2112 2156 2352 2464 2541 2688 2904 3136 3234 3388 3696 3872 4224 4312 4704 4928 5082 5808 5929 6272 6468 6776 7392 7744 8624 9408 9856 10164 11616 11858 12936 13552 14784 15488 17248 17787 18816 20328 23232 23716 25872 27104 29568 34496 35574 40656 46464 47432 51744 54208 66169 68992 71148 81312 94864 103488 108416 132338 142296 162624 189728 198507 206976 264676 284592 325248 379456 397014 463183 529352 569184 727859 758912 794028 926366 1058704 1138368 1389549 1455718 1588056 1852732 2117408 2183577 2276736 2779098 2911436 3176112 3242281 3705464 4234816 4367154 5095013 5558196 5822872 6352224 6484562 7410928 8006449 8469632 8734308 9726843 10190026 11116392 11645744 12704448 12969124 14821856 15285039 16012898 17468616 19453686 20380052 22232784 23291488 24019347 25408896 25938248 29643712 30570078 32025796 34937232 35665091 38907372 40760104 44465568 46582976 48038694 51876496 56045143 59287424 61140156 64051592 69874464 71330182 77814744 81520208 88931136 93165952 96077388 103752992 106995273 112090286 122280312 128103184 139748928 142660364 155629488 163040416 168135429 177862272 192154776 207505984 213990546 224180572 244560624 256206368 279497856 285320728 311258976 326080832 336270858 384309552 392316001 415011968 427981092 448361144 489121248 512412736 570641456 622517952 652161664 672541716 768619104 784632002 855962184 896722288 978242496 1024825472 1141282912 1176948003 1245035904 1345083432 1537238208 1569264004 1711924368 1793444576 1956484992 2282565824 2353896006 2690166864 3074476416 3138528008 3423848736 3586889152 4378336561 4565131648 4707792012 5380333728 6277056016 6847697472 7173778304 8756673122 9415584024 10760667456 12554112032 13135009683 13695394944 17513346244 18831168048 21521334912 25108224064 26270019366 30648355927 35026692488 37662336096 48161702171 50216448128 52540038732 61296711854 70053384976 75324672192 91945067781 96323404342 105080077464 122593423708 140106769952 144485106513 150649344384 183890135562 192646808684 210160154928 214538491489 245186847416 280213539904 288970213026 337131915197 367780271124 385293617368 420320309856 429076982978 490373694832 529778723881 560427079808 577940426052 643615474467 674263830394 735560542248 770587234736 840640619712 858153965956 980747389664 1011395745591 1059557447762 1155880852104 1287230948934 1348527660788 1471121084496 1541174469472 1589336171643 1681281239424 1716307931912 1961494779328 2022791491182 2119114895524 2311761704208 2359923406379 2574461897868 2697055321576 2942242168992 3082348938944 3178672343286 3432615863824 3708451067167 3922989558656 4045582982364 4238229791048 4623523408416 4719846812758 5148923795736 5394110643152 5884484337984 6164697877888 6357344686572 6865231727648 7079770219137 7416902134334 8091165964728 8476459582096 9247046816832 9439693625516 10297847591472 10788221286304 11125353201501 11768968675968 12714689373144 13730463455296 14159540438274 14833804268668 16182331929456 16952919164192 18494093633664 18879387251032 20595695182944 21576442572608 22250706403002 25429378746288 25959157470169 27460926910592 28319080876548 29667608537336 32364663858912 33905838328384 37758774502064 41191390365888 43152885145216 44501412806004 50858757492576 51918314940338 56638161753096 59335217074672 64729327717824 67811676656768 75517549004128 77877472410507 82382780731776 89002825612008 101717514985152 103836629880676 113276323506192 118670434149344 129458655435648 151035098008256 155754944821014 178005651224016 203435029970304 207673259761352 226552647012384 237340868298688 302070196016512 311509889642028 356011302448032 415346519522704 453105294024768 474681736597376 623019779284056 712022604896064 830693039045408 906210588049536 1246039558568112 1424045209792128 1661386078090816 2492079117136224 3322772156181632 4984158234272448 9968316468544896
• Sum of all divisors σ(n): 33856524525785220
• Sum of proper divisors (its aliquot sum) s(n): 23888208057240324
• 9968316468544896 is an abundant number, because the sum of its proper divisors (23888208057240324) is greater than itself. Its abundance is 13919891588695428

Bases of 9968316468544896

• Binary: 100011011010100010000110001010000111011100010110000000₂
• Hexadecimal: 0x236A218A1DC580
• Base-36: 2Q5H1D72FEO

Squares and roots of 9968316468544896

• 9968316468544896 squared (9968316468544896²) is 99367333217063386564591567650816
• 9968316468544896 cubed (9968316468544896³) is 990525024143041237292313040593064893284547035136
• The square root of 9968316468544896 is 99841456.6627755887
• The cube root of 9968316468544896 is 215215.6946127481

Scales and comparisons

• 9,968,316,468,544,896 seconds is equal to 316,961,629 years, 34 weeks, 6 days, 18 hours, 1 minute, 36 seconds.
• To count from 1 to 9,968,316,468,544,896 would take you about nine hundred fifty million, eight hundred eighty-four thousand, eight hundred eighty-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 9968316468544896 cubic inches would be around 17934.6 feet tall.

Recreational maths with 9968316468544896

• 9968316468544896 backwards is 6984458646138699
• 9968316468544896 is a Harshad number.
• The number of decimal digits it has is: 16
• The sum of 9968316468544896's digits is 96
• More coming soon!