680620935443310400

Names of 680620935443310400

• Cardinal: 680620935443310400 can be written as Six hundred eighty quadrillion, six hundred twenty trillion, nine hundred thirty-five billion, four hundred forty-three million, three hundred ten thousand, four hundred.

Scientific notation

• Scientific notation: 6.806209354433104 × 10¹⁷

Factors of 680620935443310400

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 44144674

Divisors of 680620935443310400

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 4 5 7 8 10 11 14 16 20 22 25 28 31 32 35 40 44 50 55 56 62 64 70 77 80 88 100 110 112 121 124 140 154 155 160 175 176 200 217 220 224 242 248 275 280 308 310 320 341 350 352 367 385 400 434 440 448 484 496 550 560 605 616 620 682 700 704 734 770 775 800 847 868 880 968 992 1085 1100 1120 1210 1232 1240 1364 1400 1468 1540 1550 1600 1694 1705 1736 1760 1835 1925 1936 1984 2170 2200 2240 2387 2420 2464 2480 2569 2728 2800 2936 3025 3080 3100 3388 3410 3472 3520 3670 3751 3850 3872 4037 4235 4340 4400 4774 4840 4928 4960 5138 5425 5456 5600 5872 6050 6160 6200 6776 6820 6944 7340 7502 7700 7744 8074 8470 8525 8680 8800 9175 9548 9680 9920 10276 10850 10912 11200 11377 11744 11935 12100 12320 12400 12845 13552 13640 13888 14680 15004 15400 16148 16940 17050 17360 17600 18350 18755 19096 19360 20185 20552 21175 21700 21824 22754 23488 23870 24200 24640 24800 25690 26257 27104 27280 28259 29360 30008 30800 32296 33880 34100 34720 36700 37510 38192 38720 40370 41104 42350 43400 44407 45508 47740 48400 49600 51380 52514 54208 54560 56518 56885 58720 59675 60016 61600 64225 64592 67760 68200 69440 73400 75020 76384 79639 80740 82208 84700 86800 88814 91016 93775 95480 96800 100925 102760 105028 109120 113036 113770 117440 119350 120032 123200 125147 128450 129184 131285 135520 136400 141295 146800 150040 152768 159278 161480 164416 169400 173600 177628 182032 187550 190960 193600 201850 205520 210056 222035 226072 227540 238700 240064 250294 256900 258368 262570 271040 272800 282590 284425 293600 300080 310849 318556 322960 338800 347200 355256 364064 375100 381920 398195 403700 411040 420112 444070 452144 455080 477400 500588 513800 525140 545600 565180 568850 587200 600160 621698 625735 637112 645920 656425 677600 706475 710512 728128 750200 763840 796390 807400 822080 840224 876029 888140 904288 910160 954800 1001176 1027600 1050280 1110175 1130360 1137700 1200320 1243396 1251470 1274224 1291840 1312850 1355200 1376617 1412950 1421024 1500400 1554245 1592780 1614800 1680448 1752058 1776280 1808576 1820320 1909600 1990975 2002352 2055200 2100560 2220350 2260720 2275400 2486792 2502940 2548448 2625700 2753234 2825900 2842048 3000800 3108490 3128675 3185560 3229600 3504116 3552560 3640640 3819200 3981950 4004704 4110400 4201120 4380145 4440700 4521440 4550800 4973584 5005880 5096896 5251400 5506468 5651800 6001600 6216980 6257350 6371120 6459200 6883085 7008232 7105120 7771225 7963900 8009408 8402240 8760290 8881400 9042880 9101600 9636319 9947168 10011760 10502800 11012936 11303600 12433960 12514700 12742240 13766170 14016464 14210240 15542450 15927800 17520580 17762800 18203200 19272638 19894336 20023520 21005600 21900725 22025872 22607200 24867920 25029400 25484480 27532340 28032928 31084900 31855600 34415425 35041160 35525600 38545276 40047040 42011200 43801450 44051744 44144251 45214400 48181595 49735840 50058800 55064680 56065856 62169800 63711200 68830850 70082320 71051200 77090552 87602900 88103488 88288502 96363190 99471680 100117600 110129360 124339600 127422400 137661700 140164640 154181104 175205800 176577004 192726380 200235200 220258720 220721255 240907975 248679200 275323400 280329280 308362208 309009757 350411600 353154008 385452760 440517440 441442510 481815950 485586761 497358400 550646800 616724416 618019514 700823200 706308016 770905520 882885020 963631900 971173522 1101293600 1103606275 1236039028 1368471781 1401646400 1412616032 1541811040 1545048785 1765770040 1927263800 1942347044 2202587200 2207212550 2427933805 2472078056 2736943562 2825232064 3083622080 3090097570 3399107327 3531540080 3854527600 3884694088 4414425100 4855867610 4944156112 5341454371 5473887124 6180195140 6798214654 6842358905 7063080160 7709055200 7725243925 7769388176 8828850200 9579302467 9711735220 9888312224 10682908742 10947774248 12139669025 12360390280 13596429308 13684717810 14126160320 15053189591 15418110400 15450487850 15538776352 16200940117 16995536635 17657700400 19158604934 19423470440 19776624448 21365817484 21895548496 24279338050 24720780560 26707271855 27192858616 27369435620 30106379182 30900975700 31077552704 32401880234 33991073270 34211794525 35315400800 37390180597 38317209868 38846940880 42731634968 43791096992 47896512335 48558676100 49441561120 53414543710 54385717232 54738871240 60212758364 61801951400 64803760468 67982146540 68423589050 70630801600 74780361194 75265947955 76634419736 77693881760 81004700585 84977683175 85463269936 87582193984 95793024670 97117352200 98883122240 105372327137 106829087420 108771434464 109477742480 113406580819 120425516728 123603902800 129607520936 133536359275 135964293080 136847178100 149560722388 150531895910 153268839472 155387763520 162009401170 165585085501 169955366350 170926539872 178210341287 186950902985 191586049340 194234704400 210744654274 213658174840 217542868928 218955484960 226813161638 239482561675 240851033456 247207805600 259215041872 267072718550 271928586160 273694356200 299121444776 301063791820 306537678944 324018802340 331170171002 339910732700 341853079744 356420682574 373901805970 376329739775 383172098680 388469408800 405023502925 421489308548 427316349680 437910969920 453626323276 478965123350 481702066912 494415611200 502229143627 518430083744 526861635685 534145437100 543857172320 547388712400 567032904095 598242889552 602127583640 613075357888 648037604680 662340342004 679821465400 712841365148 747803611940 752659479550 766344197360 776938817600 810047005850 827925427505 842978617096 854632699360 891051706435 907252646552 934754514925 957930246700 963404133824 1004458287254 1036860167488 1053723271370 1068290874200 1087714344640 1094777424800 1134065808190 1159095598507 1196485779104 1204255167280 1247472389009 1296075209360 1324680684008 1359642930800 1425682730296 1495607223880 1505318959100 1532688394720 1620094011700 1655850855010 1685957234192 1709265398720 1782103412870 1814505293104 1869509029850 1915860493400 1960313754157 2008916574508 2107446542740 2136581748400 2189554849600 2268131616380 2318191197014 2392971558208 2408510334560 2494944778018 2511145718135 2592150418720 2634308178425 2649361368016 2719285861600 2835164520475 2851365460592 2991214447760 3010637918200 3065376789440 3240188023400 3311701710020 3371914468384 3515604005389 3564206825740 3629010586208 3739018059700 3831720986800 3920627508314 4017833149016 4139627137525 4214893085480 4273163496800 4455258532175 4536263232760 4636382394028 4817020669120 4989889556036 5022291436270 5184300837440 5268616356850 5298722736032 5438571723200 5524520579897 5670329040950 5702730921184 5795477992535 5982428895520 6021275836400 6237361945045 6480376046800 6623403420040 6743828936768 7031208010778 7128413651480 7258021172416 7478036119400 7663441973600 7841255016628 8035666298032 8279254275050 8429786170960 8546326993600 8910517064350 9072526465520 9272764788056 9801568770785 9979779112072 10044582872540 10537232713700 10597445472064 11049041159794 11340658081900 11405461842368 11590955985070 11964857791040 12042551672800 12474723890090 12555728590675 12960752093600 13246806840080 13722196279099 14062416021556 14256827302960 14956072238800 15326883947200 15682510033256 16071332596064 16558508550100 16859572341920 17578020026945 17821034128700 18145052931040 18545529576112 19603137541570 19959558224144 20089165745080 21074465427400 22098082319588 22681316163800 23181911970140 24085103345600 24949447780180 25111457181350 25921504187200 26493613680160 27444392558198 27622602899485 28124832043112 28513654605920 28977389962675 29912144477600 31186809725225 31365020066512 32142665192128 33117017100200 33719144683840 35156040053890 35642068257400 36290105862080 37091059152224 38671644059279 39206275083140 39919116448288 40178331490160 42148930854800 44196164639176 45362632327600 46363823940280 49007843853925 49898895560360 50222914362700 52987227360320 54888785116396 55245205798970 56249664086224 57027309211840 57954779925350 59824288955200 60769726378867 62373619450450 62730040133024 66234034200400 68610981395495 70312080107780 71284136514800 74182118304448 77343288118558 78412550166280 79838232896576 80356662980320 84297861709600 87890100134725 88392329278352 90725264655200 92727647880560 98015687707850 99797791120720 100445828725400 109777570232792 110490411597940 112499328172448 115909559850700 121539452757734 124747238900900 125460080266048 132468068400800 137221962790990 138113014497425 140624160215560 142568273029600 154686576237116 156825100332560 160713325960640 168595723419200 175780200269450 176784658556704 181450529310400 185455295761120 193358220296395 196031375415700 199595582241440 200891657450800 219555140465584 220980823195880 224998656344896 231819119701400 243078905515468 249494477801800 264936136801600 274443925581980 276226028994850 281248320431120 285136546059200 303848631894335 309373152474232 313650200665120 343054906977475 351560400538900 353569317113408 370910591522240 386716440592790 392062750831400 399191164482880 401783314901600 425388084652069 439110280931168 441961646391760 463638239402800 486157811030936 498988955603600 548887851163960 552452057989700 562496640862240 607697263788670 618746304948464 627300401330240 686109813954950 703120801077800 773432881185580 784125501662800 803566629803200 850776169304138 878220561862336 883923292783520 927276478805600 966791101481975 972315622061872 997977911207200 1097775702327920 1104904115979400 1124993281724480 1215394527577340 1237492609896928 1372219627909900 1406241602155600 1519243159471675 1546865762371160 1568251003325600 1701552338608276 1767846585567040 1854552957611200 1933582202963950 1944631244123744 1995955822414400 2126940423260345 2195551404655840 2209808231958800 2430789055154680 2474985219793856 2744439255819800 2812483204311200 3038486318943350 3093731524742320 3136502006651200 3403104677216552 3867164405927900 3889262488247488 4253880846520690 4391102809311680 4419616463917600 4861578110309360 5488878511639600 5624966408622400 6076972637886700 6187463049484640 6806209354433104 7734328811855800 8507761693041380 8839232927835200 9723156220618720 10634702116301725 10977757023279200 12153945275773400 12374926098969280 13612418708866208 15468657623711600 17015523386082760 19446312441237440 21269404232603450 21955514046558400 24307890551546800 27224837417732416 30937315247423200 34031046772165520 42538808465206900 48615781103093600 61874630494846400 68062093544331040 85077616930413800 97231562206187200 136124187088662080 170155233860827600 340310467721655200 680620935443310400
• Sum of all divisors σ(n): 2177604483724558336
• Sum of proper divisors (its aliquot sum) s(n): 1496983548281247936
• 680620935443310400 is an abundant number, because the sum of its proper divisors (1496983548281247936) is greater than itself. Its abundance is 816362612837937536

Bases of 680620935443310400

• Binary: 100101110010000011010010001001111011110010101110011101000000₂
• Hexadecimal: 0x9720D227BCAE740
• Base-36: 565NZH8R5LJ4

Squares and roots of 680620935443310400

• 680620935443310400 squared (680620935443310400²) is 463244857763726903082972110748160000
• 680620935443310400 cubed (680620935443310400³) is 315294148430451077054167739492809808334211108864000000
• The square root of 680620935443310400 is 824997536.6286316373
• The cube root of 680620935443310400 is 879633.5145101033

Scales and comparisons

• 680,620,935,443,310,400 seconds is equal to 21,641,640,448 years, 16 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
• To count from 1 to 680,620,935,443,310,400 would take you about sixty-four billion, nine hundred twenty-four million, nine hundred twenty-one thousand, three hundred forty-four 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 680620935443310400 cubic inches would be around 73302.8 feet tall.

Recreational maths with 680620935443310400

• 680620935443310400 backwards is 004013344539026086
• The number of decimal digits it has is: 18
• The sum of 680620935443310400's digits is 58
• More coming soon!