106842204028108800

Names of 106842204028108800

• Cardinal: 106842204028108800 can be written as One hundred six quadrillion, eight hundred forty-two trillion, two hundred four billion, twenty-eight million, one hundred eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.068422040281088 × 10¹⁷

Factors of 106842204028108800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 622

Divisors of 106842204028108800

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 181 192 200 225 240 256 288 300 320 360 362 384 400 431 450 480 512 543 576 600 640 720 724 768 800 862 900 905 960 1024 1086 1152 1200 1280 1293 1440 1448 1536 1600 1629 1724 1800 1810 1920 2048 2155 2172 2304 2400 2560 2586 2715 2880 2896 3072 3200 3258 3448 3600 3620 3840 3879 4096 4310 4344 4525 4608 4800 5120 5172 5430 5760 5792 6144 6400 6465 6516 6896 7200 7240 7680 7758 8145 8192 8620 8688 9050 9216 9600 10240 10344 10775 10860 11520 11584 12288 12800 12930 13032 13575 13792 14400 14480 15360 15516 16290 16384 17240 17376 18100 18432 19200 19395 20480 20688 21550 21720 23040 23168 24576 25600 25860 26064 27150 27584 28800 28960 30720 31032 32325 32580 32768 34480 34752 36200 36864 38400 38790 40725 40960 41376 43100 43440 46080 46336 49152 51200 51720 52128 54300 55168 57600 57920 61440 62064 64650 65160 68960 69504 72400 73728 76800 77580 78011 81450 81920 82752 86200 86880 92160 92672 96975 98304 102400 103440 104256 108600 110336 115200 115840 122880 124128 129300 130320 137920 139008 144800 147456 153600 155160 156022 162900 163840 165504 172400 173760 184320 185344 185761 193950 204800 206880 208512 217200 220672 230400 231680 234033 245760 248256 258600 260640 275840 278016 289600 294912 307200 310320 312044 325800 331008 344800 347520 368640 370688 371522 387900 390055 409600 413760 417024 434400 441344 460800 463360 468066 491520 496512 517200 521280 551680 556032 557283 579200 614400 620640 624088 651600 662016 689600 695040 702099 737280 741376 743044 775800 780110 819200 827520 834048 868800 882688 921600 926720 928805 936132 993024 1034400 1042560 1103360 1112064 1114566 1158400 1170165 1228800 1241280 1248176 1303200 1324032 1379200 1390080 1404198 1474560 1482752 1486088 1551600 1560220 1655040 1668096 1671849 1737600 1765376 1843200 1853440 1857610 1872264 1950275 1986048 2068800 2085120 2206720 2224128 2229132 2316800 2340330 2457600 2482560 2496352 2606400 2648064 2758400 2780160 2786415 2808396 2965504 2972176 3103200 3120440 3310080 3336192 3343698 3475200 3510495 3530752 3686400 3706880 3715220 3744528 3900550 3972096 4137600 4170240 4413440 4448256 4458264 4633600 4644025 4680660 4965120 4992704 5212800 5296128 5516800 5560320 5572830 5616792 5850825 5931008 5944352 6206400 6240880 6620160 6672384 6687396 6950400 7020990 7061504 7372800 7413760 7430440 7489056 7801100 7944192 8275200 8340480 8359245 8826880 8896512 8916528 9267200 9288050 9361320 9930240 9985408 10425600 10592256 11033600 11120640 11145660 11233584 11701650 11888704 12412800 12481760 13240320 13344768 13374792 13900800 13932075 14041980 14123008 14827520 14860880 14978112 15602200 15888384 16550400 16680960 16718490 17552475 17653760 17793024 17833056 18534400 18576100 18722640 19860480 19970816 20851200 21184512 22067200 22241280 22291320 22467168 23403300 23777408 24825600 24963520 26480640 26689536 26749584 27801600 27864150 28083960 29655040 29721760 29956224 31204400 31776768 33100800 33361920 33436980 33622741 35104950 35307520 35666112 37068800 37152200 37445280 39720960 39941632 41702400 41796225 42369024 44134400 44482560 44582640 44934336 46806600 47554816 49651200 49927040 52961280 53379072 53499168 55603200 55728300 56167920 59443520 59912448 62408800 63553536 66201600 66723840 66873960 67245482 70209900 70615040 71332224 74137600 74304400 74890560 79441920 79883264 80062991 83404800 83592450 88268800 88965120 89165280 89868672 93613200 95109632 99302400 99854080 100868223 105922560 106998336 111206400 111456600 112335840 118887040 119824896 124817600 127107072 132403200 133447680 133747920 134490964 140419800 142664448 148275200 148608800 149781120 158883840 159766528 160125982 166809600 167184900 168113705 176537600 178330560 179737344 187226400 190219264 198604800 199708160 201736446 211845120 213996672 222412800 222913200 224671680 237774080 239649792 240188973 249635200 264806400 266895360 267495840 268981928 280839600 285328896 297217600 299562240 302604669 317767680 319533056 320251964 333619200 334369800 336227410 353075200 356661120 359474688 374452800 380438528 397209600 399416320 400314955 403472892 427993344 444825600 445826400 449343360 475548160 479299584 480377946 499270400 504341115 529612800 534991680 537963856 561679200 570657792 594435200 599124480 605209338 635535360 639066112 640503928 667238400 668739600 672454820 713322240 718949376 720566919 748905600 760877056 794419200 798832640 800629910 806945784 840568525 855986688 891652800 898686720 951096320 958599168 960755892 998540800 1008682230 1059225600 1069983360 1075927712 1123358400 1141315584 1188870400 1198248960 1200944865 1210418676 1278132224 1281007856 1334476800 1337479200 1344909640 1426644480 1437898752 1441133838 1497811200 1513023345 1521754112 1588838400 1597665280 1601259820 1613891568 1681137050 1711973376 1783305600 1797373440 1902192640 1917198336 1921511784 1997081600 2001574775 2017364460 2139966720 2151855424 2246716800 2282631168 2377740800 2396497920 2401889730 2420837352 2521705575 2556264448 2562015712 2674958400 2689819280 2853288960 2875797504 2882267676 2995622400 3026046690 3043508224 3177676800 3195330560 3202519640 3227783136 3362274100 3423946752 3566611200 3594746880 3602834595 3804385280 3834396672 3843023568 3994163200 4003149550 4034728920 4279933440 4303710848 4493433600 4565262336 4755481600 4792995840 4803779460 4841674704 5043411150 5124031424 5349916800 5379638560 5706577920 5751595008 5764535352 5991244800 6004724325 6052093380 6087016448 6390661120 6405039280 6455566272 6724548200 6847893504 7133222400 7189493760 7205669190 7565116725 7608770560 7668793344 7686047136 7988326400 8006299100 8069457840 8559866880 8607421696 8986867200 9130524672 9510963200 9585991680 9607558920 9683349408 10086822300 10248062848 10699833600 10759277120 11413155840 11503190016 11529070704 11982489600 12009448650 12104186760 12781322240 12810078560 12911132544 13449096400 13695787008 14266444800 14378987520 14411338380 14491401371 15130233450 15217541120 15372094272 15976652800 16012598200 16138915680 17119733760 17214843392 17973734400 18014172975 18261049344 19021926400 19171983360 19215117840 19366698816 20173644600 20496125696 21399667200 21518554240 22826311680 23006380032 23058141408 23964979200 24018897300 24208373520 25620157120 25822265088 26898192800 27391574016 28532889600 28757975040 28822676760 28982802742 30260466900 30435082240 30744188544 31953305600 32025196400 32277831360 34239467520 34429686784 35947468800 36028345950 38043852800 38343966720 38430235680 38733397632 40347289200 40992251392 42799334400 43037108480 43474204113 45652623360 46116282816 47929958400 48037794600 48416747040 51240314240 51644530176 53796385600 54783148032 57065779200 57515950080 57645353520 57965605484 60520933800 61488377088 63906611200 64050392800 64555662720 68478935040 68859373568 71894937600 72056691900 72457006855 76087705600 76860471360 77466795264 80694578400 81984502784 85598668800 86074216960 86948408226 91305246720 92232565632 95859916800 96075589200 96833494080 102480628480 103289060352 107592771200 114131558400 115031900160 115290707040 115931210968 121041867600 122976754176 128100785600 129111325440 130422612339 136957870080 137718747136 143789875200 144113383800 144914013710 152175411200 153720942720 154933590528 161389156800 163969005568 171197337600 172148433920 173896816452 184465131264 191719833600 192151178400 193666988160 204961256960 206578120704 215185542400 217371020565 228263116800 230581414080 231862421936 242083735200 245953508352 256201571200 258222650880 260845224678 273915740160 275437494272 287579750400 288226767600 289828027420 307441885440 309867181056 322778313600 327938011136 342394675200 344296867840 347793632904 362285034275 368930262528 384302356800 387333976320 409922513920 413156241408 430371084800 434742041130 456526233600 461162828160 463724843872 484167470400 491907016704 512403142400 516445301760 521690449356 550874988544 575159500800 576453535200 579656054840 614883770880 619734362112 645556627200 652113061695 655876022272 684789350400 688593735680 695587265808 724570068550 737860525056 768604713600 774667952640 819845027840 826312482816 860742169600 869484082260 922325656320 927449687744 968334940800 983814033408 1024806284800 1032890603520 1043380898712 1086855102825 1101749977088 1152907070400 1159312109680 1229767541760 1239468724224 1291113254400 1304226123390 1311752044544 1369578700800 1377187471360 1391174531616 1449140137100 1475721050112 1537209427200 1549335905280 1639690055680 1652624965632 1721484339200 1738968164520 1844651312640 1854899375488 1936669881600 1967628066816 2049612569600 2065781207040 2086761797424 2173710205650 2305814140800 2318624219360 2459535083520 2478937448448 2582226508800 2608452246780 2623504089088 2754374942720 2782349063232 2898280274200 2951442100224 3074418854400 3098671810560 3260565308475 3279380111360 3305249931264 3442968678400 3477936329040 3689302625280 3709798750976 3873339763200 3935256133632 4099225139200 4131562414080 4173523594848 4347420411300 4611628281600 4637248438720 4919070167040 4957874896896 5164453017600 5216904493560 5508749885440 5564698126464 5796560548400 5902884200448 6148837708800 6197343621120 6521130616950 6558760222720 6885937356800 6955872658080 7378605250560 7419597501952 7746679526400 7870512267264 8198450278400 8263124828160 8347047189696 8694840822600 9223256563200 9274496877440 9838140334080 9915749793792 10328906035200 10433808987120 11129396252928 11593121096800 11805768400896 12297675417600 12394687242240 13042261233900 13117520445440 13771874713600 13911745316160 14757210501120 14839195003904 15493359052800 16396900556800 16526249656320 16694094379392 17389681645200 18446513126400 18548993754880 19676280668160 20657812070400 20867617974240 22258792505856 23186242193600 23611536801792 24595350835200 24789374484480 26084522467800 27543749427200 27823490632320 29514421002240 29678390007808 30986718105600 32793801113600 33388188758784 34779363290400 36893026252800 37097987509760 39352561336320 41315624140800 41735235948480 44517585011712 46372484387200 49190701670400 49578748968960 52169044935600 55646981264640 59028842004480 59356780015616 61973436211200 65587602227200 66776377517568 69558726580800 73786052505600 74195975019520 82631248281600 83470471896960 89035170023424 92744968774400 98381403340800 104338089871200 111293962529280 118057684008960 118713560031232 123946872422400 133552755035136 139117453161600 147572105011200 148391950039040 166940943793920 178070340046848 185489937548800 196762806681600 208676179742400 222587925058560 237427120062464 247893744844800 267105510070272 278234906323200 295144210022400 296783900078080 333881887587840 356140680093696 370979875097600 417352359484800 445175850117120 474854240124928 534211020140544 556469812646400 590288420044800 593567800156160 667763775175680 712281360187392 741959750195200 834704718969600 890351700234240 1068422040281088 1112939625292800 1187135600312320 1335527550351360 1424562720374784 1483919500390400 1669409437939200 1780703400468480 2136844080562176 2225879250585600 2374271200624640 2671055100702720 2967839000780800 3338818875878400 3561406800936960 4273688161124352 4451758501171200 5342110201405440 5935678001561600 6677637751756800 7122813601873920 8903517002342400 10684220402810880 11871356003123200 13355275503513600 17807034004684800 21368440805621760 26710551007027200 35614068009369600 53421102014054400 106842204028108800
• Sum of all divisors σ(n): 385736169035730240
• Sum of proper divisors (its aliquot sum) s(n): 278893965007621440
• 106842204028108800 is an abundant number, because the sum of its proper divisors (278893965007621440) is greater than itself. Its abundance is 172051760979512640

Bases of 106842204028108800

• Binary: 101111011100101000110101100100010000111011000000000000000₂
• Hexadecimal: 0x17B946B221D8000
• Base-36: T80EEXQDJ40

Squares and roots of 106842204028108800

• 106842204028108800 squared (106842204028108800²) is 11415256561584028288380504637440000
• 106842204028108800 cubed (106842204028108800³) is 1219631170585968477167173840448740446512873472000000
• The square root of 106842204028108800 is 326867257.5038815355
• The cube root of 106842204028108800 is 474512.4512148633

Scales and comparisons

• 106,842,204,028,108,800 seconds is equal to 3,397,251,603 years, 23 weeks, 5 days, 16 hours.
• To count from 1 to 106,842,204,028,108,800 would take you about ten billion, one hundred ninety-one million, seven hundred fifty-four thousand, eight hundred ten 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 106842204028108800 cubic inches would be around 39542.7 feet tall.

Recreational maths with 106842204028108800

• 106842204028108800 backwards is 008801820402248601
• The number of decimal digits it has is: 18
• The sum of 106842204028108800's digits is 54
• More coming soon!