13648468978092032000

Names of 13648468978092032000

• Cardinal: 13648468978092032000 can be written as Thirteen quintillion, six hundred forty-eight quadrillion, four hundred sixty-eight trillion, nine hundred seventy-eight billion, ninety-two million, thirty-two thousand.

Scientific notation

• Scientific notation: 1.3648468978092032 × 10¹⁹

Factors of 13648468978092032000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 21855508

Divisors of 13648468978092032000

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 127 128 140 160 175 196 200 224 245 250 254 256 280 320 343 350 392 400 448 490 500 508 512 560 635 640 686 700 784 800 875 889 896 980 1000 1016 1024 1120 1225 1270 1280 1372 1400 1568 1600 1715 1750 1778 1792 1960 2000 2032 2048 2240 2401 2450 2540 2560 2744 2800 3136 3175 3200 3430 3500 3556 3584 3920 4000 4064 4096 4445 4480 4802 4900 5080 5120 5488 5600 6125 6223 6272 6350 6400 6860 7000 7112 7168 7840 8000 8128 8192 8575 8890 8960 9604 9800 10160 10240 10976 11200 12005 12250 12446 12544 12700 12800 13720 14000 14224 14336 15680 15875 16000 16256 16384 17150 17780 17920 19208 19600 20320 20480 21952 22225 22400 24010 24500 24892 25088 25400 25600 27440 28000 28448 28672 31115 31360 31750 32000 32512 34300 35560 35840 38416 39200 40640 40960 42875 43561 43904 44450 44800 48020 49000 49784 50176 50800 51200 54880 56000 56896 57344 60025 62230 62720 63500 64000 65024 68600 71120 71680 76832 78400 81280 81920 85750 87122 87808 88900 89600 96040 98000 99568 100352 101600 102400 109760 111125 112000 113792 114688 120050 124460 125440 127000 128000 130048 137200 142240 143360 153664 155575 156800 162560 171500 174244 175616 177800 179200 192080 196000 199136 200704 203200 204800 217805 219520 222250 224000 227584 240100 248920 250880 254000 256000 260096 274400 284480 286720 300125 304927 307328 311150 313600 325120 343000 348488 351232 355600 358400 384160 392000 398272 401408 406400 409600 435610 439040 444500 448000 455168 480200 497840 501760 508000 512000 520192 548800 568960 573440 600250 609854 614656 622300 627200 650240 686000 696976 702464 711200 716800 768320 777875 784000 796544 802816 812800 871220 878080 889000 896000 910336 960400 995680 1003520 1016000 1024000 1040384 1089025 1097600 1137920 1200500 1219708 1229312 1244600 1254400 1300480 1372000 1393952 1404928 1422400 1433600 1524635 1536640 1555750 1568000 1593088 1625600 1742440 1756160 1778000 1792000 1820672 1920800 1991360 2007040 2032000 2048000 2080768 2178050 2195200 2275840 2401000 2439416 2458624 2489200 2508800 2600960 2744000 2787904 2809856 2844800 2867200 3049270 3073280 3111500 3136000 3186176 3251200 3484880 3512320 3556000 3584000 3641344 3841600 3982720 4014080 4064000 4356100 4390400 4551680 4802000 4878832 4917248 4978400 5017600 5201920 5445125 5488000 5575808 5619712 5689600 6098540 6146560 6223000 6272000 6372352 6502400 6969760 7024640 7112000 7168000 7282688 7623175 7683200 7965440 8128000 8712200 8780800 9103360 9604000 9757664 9834496 9956800 10035200 10403840 10890250 10976000 11151616 11379200 12197080 12293120 12446000 12544000 12744704 13004800 13939520 14049280 14224000 14336000 14565376 15246350 15366400 15930880 16256000 17424400 17561600 18206720 19208000 19515328 19668992 19913600 20070400 21780500 21855367 21952000 22303232 22758400 24394160 24586240 24892000 25088000 25489408 26009600 27879040 28098560 28448000 30492700 30732800 31861760 32512000 34848800 35123200 36413440 38115875 38416000 39030656 39337984 39827200 43561000 43710734 43904000 44606464 45516800 48788320 49172480 49784000 50176000 50978816 52019200 55758080 56896000 60985400 61465600 63723520 65024000 69697600 70246400 72826880 76231750 76832000 78061312 79654400 87122000 87421468 87808000 89212928 91033600 97576640 98344960 99568000 100352000 101957632 109276835 111516160 113792000 121970800 122931200 127447040 130048000 139395200 140492800 152463500 152987569 153664000 156122624 159308800 174244000 174842936 175616000 178425856 182067200 195153280 196689920 199136000 218553670 223032320 227584000 243941600 245862400 254894080 260096000 278790400 304927000 305975138 307328000 312245248 318617600 348488000 349685872 351232000 356851712 364134400 390306560 398272000 437107340 446064640 455168000 487883200 491724800 509788160 546384175 557580800 609854000 611950276 614656000 624490496 637235200 696976000 699371744 702464000 713703424 764937845 780613120 796544000 874214680 892129280 910336000 975766400 983449600 1070912983 1092768350 1115161600 1219708000 1223900552 1229312000 1248980992 1274470400 1393952000 1398743488 1529875690 1561226240 1593088000 1748429360 1784258560 1820672000 1951532800 2141825966 2185536700 2230323200 2439416000 2447801104 2458624000 2497961984 2548940800 2731920875 2775631609 2787904000 2797486976 3059751380 3122452480 3186176000 3496858720 3568517120 3824689225 3903065600 4283651932 4371073400 4460646400 4878832000 4895602208 4917248000 4995923968 5354564915 5463841750 5551263218 5575808000 5594973952 6119502760 6244904960 6372352000 6993717440 7496390881 7649378450 7806131200 8567303864 8742146800 8921292800 9757664000 9791204416 10709129830 10927683500 11102526436 11151616000 11189947904 12239005520 12489809920 12744704000 13878158045 13987434880 14992781762 15298756900 15612262400 17134607728 17484293600 17842585600 19123446125 19429421263 19515328000 19582408832 21418259660 21855367000 22205052872 22303232000 22379895808 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1958240883200 2098989446680 2141825966000 2176095181456 2193229789184 2220505287200 2237989580800 2398845081920 2428677657875 2447801104000 2486965921664 2506548330496 2623736808350 2720118976820 2741537236480 2775631609000 2797486976000 2842246767616 2998556352400 3108707402080 3133185413120 3358383114688 3400148721025 3426921545600 3552808459520 3748195440500 3808166567548 3838152131072 3885884252600 3916481766400 4197978893360 4283651932000 4352190362912 4386459578368 4441010574400 4475979161600 4760208209435 4797690163840 4857355315750 4895602208000 4973931843328 5247473616700 5440237953640 5483074472960 5551263218000 5594973952000 5684493535232 5997112704800 6217414804160 6266370826240 6559342020875 6664291493209 6716766229376 6800297442050 6853843091200 7105616919040 7496390881000 7616333135096 7676304262144 7771768505200 7832963532800 8395957786720 8567303864000 8704380725824 8772919156736 8882021148800 8951958323200 9520416418870 9595380327680 9714710631500 9791204416000 9947863686656 10494947233400 10880475907280 10966148945920 11102526436000 11189947904000 11368987070464 11994225409600 12434829608320 12532741652480 13118684041750 13328582986418 13433532458752 13600594884100 13707686182400 14211233838080 14992781762000 15232666270192 15352608524288 15543537010400 15665927065600 16791915573440 17000743605125 17134607728000 17408761451648 17545838313472 17764042297600 19040832837740 19190760655360 19429421263000 19582408832000 19895727373312 20989894466800 21760951814560 21932297891840 22205052872000 22379895808000 22737974140928 23801041047175 23988450819200 24869659216640 26237368083500 26657165972836 26867064917504 27201189768200 27415372364800 28422467676160 29985563524000 30465332540384 30705217048576 31087074020800 31331854131200 33321457466045 33583831146880 34001487210250 34269215456000 34817522903296 35528084595200 38081665675480 38381521310720 38858842526000 39164817664000 39791454746624 41979788933600 43521903629120 43864595783680 44410105744000 44759791616000 45475948281856 47602082094350 47976901638400 49739318433280 52474736167000 53314331945672 53734129835008 54402379536400 54830744729600 56844935352320 59971127048000 60930665080768 61410434097152 62174148041600 62663708262400 66642914932090 67167662293760 68002974420500 68538430912000 69635045806592 71056169190400 76163331350960 76763042621440 77717685052000 78329635328000 79582909493248 83959577867200 87043807258240 87729191567360 88820211488000 95204164188700 95953803276800 99478636866560 104949472334000 106628663891344 107468259670016 108804759072800 109661489459200 113689870704640 119005205235875 119942254096000 121861330161536 122820868194304 124348296083200 133285829864180 134335324587520 136005948841000 137076861824000 139270091613184 142112338380800 152326662701920 153526085242880 155435370104000 156659270656000 159165818986496 166607287330225 167919155734400 174087614516480 177640422976000 190408328377400 191907606553600 198957273733120 209898944668000 213257327782688 214936519340032 217609518145600 219322978918400 227379741409280 238010410471750 239884508192000 243722660323072 248696592166400 266571659728360 268670649175040 272011897682000 274153723648000 278540183226368 284224676761600 304653325403840 307052170485760 310870740208000 313318541312000 318331637972992 333214574660450 335838311468800 348175229032960 355280845952000 380816656754800 383815213107200 397914547466240 419797889336000 426514655565376 429873038680064 435219036291200 438645957836800 476020820943500 479769016384000 487445320646144 497393184332800 533143319456720 537341298350080 544023795364000 548307447296000 557080366452736 568449353523200 609306650807680 614104340971520 621741480416000 666429149320900 671676622937600 696350458065920 710561691904000 761633313509600 767630426214400 795829094932480 833036436651125 839595778672000 853029311130752 859746077360128 870438072582400 952041641887000 959538032768000 974890641292288 994786368665600 1066286638913440 1074682596700160 1088047590728000 1096614894592000 1114160732905472 1136898707046400 1218613301615360 1243482960832000 1332858298641800 1343353245875200 1392700916131840 1421123383808000 1523266627019200 1535260852428800 1591658189864960 1666072873302250 1679191557344000 1706058622261504 1740876145164800 1904083283774000 1919076065536000 1949781282584576 1989572737331200 2132573277826880 2149365193400320 2176095181456000 2193229789184000 2228321465810944 2437226603230720 2486965921664000 2665716597283600 2686706491750400 2785401832263680 2842246767616000 3046533254038400 3070521704857600 3332145746604500 3358383114688000 3412117244523008 3481752290329600 3808166567548000 3838152131072000 3899562565169152 3979145474662400 4265146555653760 4298730386800640 4352190362912000 4874453206461440 4973931843328000 5331433194567200 5373412983500800 5570803664527360 5684493535232000 6093066508076800 6664291493209000 6716766229376000 6824234489046016 6963504580659200 7616333135096000 7676304262144000 7799125130338304 7958290949324800 8530293111307520 8704380725824000 9748906412922880 9947863686656000 10662866389134400 10746825967001600 11141607329054720 12186133016153600 13328582986418000 13433532458752000 13648468978092032 13927009161318400 15232666270192000 15352608524288000 15598250260676608 17060586222615040 17408761451648000 19497812825845760 19895727373312000 21325732778268800 21493651934003200 24372266032307200 26657165972836000 26867064917504000 27296937956184064 27854018322636800 30465332540384000 34121172445230080 34817522903296000 38995625651691520 39791454746624000 42651465556537600 48744532064614400 53314331945672000 53734129835008000 54593875912368128 55708036645273600 60930665080768000 68242344890460160 69635045806592000 77991251303383040 85302931113075200 97489064129228800 106628663891344000 107468259670016000 109187751824736256 121861330161536000 136484689780920320 139270091613184000 170605862226150400 194978128258457600 213257327782688000 243722660323072000 272969379561840640 278540183226368000 341211724452300800 389956256516915200 426514655565376000 487445320646144000 545938759123681280 682423448904601600 853029311130752000 974890641292288000 1364846897809203200 1706058622261504000 1949781282584576000 2729693795618406400 3412117244523008000 6824234489046016000 13648468978092032000
• Sum of all divisors σ(n): 40053685320930398208
• Sum of proper divisors (its aliquot sum) s(n): 26405216342838366208
• 13648468978092032000 is an abundant number, because the sum of its proper divisors (26405216342838366208) is greater than itself. Its abundance is 12756747364746334208

Bases of 13648468978092032000

• Binary: 1011110101101001000110100011100100001111000111010100000000000000₂
• Hexadecimal: 0xBD691A390F1D4000
• Base-36: 2VP0AGPWXSPA8

Squares and roots of 13648468978092032000

• 13648468978092032000 squared (13648468978092032000²) is 186280705445940556277975061889024000000
• 13648468978092032000 cubed (13648468978092032000³) is 2542446429496019124275606578125348743593242656768000000000
• The square root of 13648468978092032000 is 3694383436.7986266187
• The cube root of 13648468978092032000 is 2389798.6547521373

Scales and comparisons

• 13,648,468,978,092,032,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,648,468,978,092,032,000 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 13648468978092032000 cubic inches would be around 199149.9 feet tall.

Recreational maths with 13648468978092032000

• 13648468978092032000 backwards is 00023029087986484631
• 13648468978092032000 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 13648468978092032000's digits is 80
• More coming soon!