42380832987144000

Names of 42380832987144000

• Cardinal: 42380832987144000 can be written as Forty-two quadrillion, three hundred eighty trillion, eight hundred thirty-two billion, nine hundred eighty-seven million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 4.2380832987144 × 10¹⁶

Factors of 42380832987144000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 27674

Divisors of 42380832987144000

• Number of divisors d(n): 1344
• 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 53 60 64 71 72 75 80 90 96 100 106 120 125 142 144 150 159 160 180 192 200 212 213 225 240 250 265 284 288 300 318 320 355 360 375 400 424 426 450 477 480 500 530 568 576 600 636 639 710 720 750 795 800 848 852 900 954 960 1000 1060 1065 1125 1136 1200 1272 1278 1325 1420 1440 1500 1590 1600 1696 1704 1775 1800 1908 2000 2120 2130 2250 2272 2385 2400 2544 2556 2650 2840 2880 3000 3180 3195 3392 3408 3550 3600 3763 3816 3975 4000 4240 4260 4500 4544 4770 4800 5088 5112 5300 5325 5680 6000 6360 6390 6625 6816 7100 7200 7526 7632 7950 8000 8009 8480 8520 8875 9000 9540 10176 10224 10600 10650 11289 11360 11925 12000 12720 12780 13250 13632 14200 14400 15052 15264 15900 15975 16018 16960 17040 17750 18000 18815 19080 19531 19875 20448 21200 21300 22578 22720 23850 24000 24027 25440 25560 26500 26625 28400 30104 30528 31800 31950 32036 33867 34080 35500 36000 37630 38160 39062 39750 40045 40896 42400 42600 45156 47700 48054 50880 51120 53000 53250 56445 56800 58593 59625 60208 63600 63900 64072 67734 68160 71000 72000 72081 75260 76320 78124 79500 79875 80090 84800 85200 90312 94075 95400 96108 97655 102240 106000 106500 112890 113600 117186 119250 120135 120416 127200 127800 128144 135468 142000 144162 150520 152640 156248 159000 159750 160180 169335 170400 175779 180624 188150 190800 192216 195310 200225 204480 212000 213000 225780 234372 238500 240270 240832 254400 255600 256288 270936 282225 284000 288324 292965 301040 312496 318000 319500 320360 338670 340800 351558 360405 361248 376300 381600 384432 390620 400450 424000 424477 426000 451560 468744 470375 477000 480540 488275 511200 512576 541872 564450 568000 568639 576648 585930 600675 602080 624992 636000 639000 640720 677340 703116 720810 722496 752600 763200 768864 781240 800900 846675 848954 852000 878895 903120 937488 940750 954000 961080 976550 1001125 1022400 1035143 1083744 1128900 1137278 1153296 1171860 1201350 1204160 1249984 1272000 1273431 1278000 1281440 1354680 1386701 1406232 1411125 1441620 1464825 1505200 1537728 1562480 1601800 1693350 1697908 1704000 1705917 1757790 1802025 1806240 1874976 1881500 1908000 1922160 1953100 2002250 2070286 2122385 2167488 2257800 2274556 2306592 2343720 2402700 2441375 2546862 2556000 2562880 2709360 2773402 2812464 2822250 2843195 2883240 2929650 3003375 3010400 3105429 3124960 3203600 3386700 3395816 3411834 3515580 3604050 3612480 3749952 3763000 3816000 3820293 3844320 3906200 4004500 4140572 4160103 4233375 4244770 4394475 4515600 4549112 4613184 4687440 4805400 4882750 5093724 5112000 5117751 5175715 5418720 5546804 5624928 5644500 5686390 5766480 5859300 6006750 6020800 6210858 6249920 6367155 6407200 6773400 6791632 6823668 6933505 7031160 7208100 7324125 7526000 7640586 7688640 7812400 8009000 8281144 8320206 8466750 8489540 8529585 8788950 9010125 9031200 9098224 9316287 9374880 9610800 9765500 10187448 10235502 10351430 10611925 10837440 11093608 11249856 11289000 11372780 11532960 11718600 12013500 12421716 12480309 12734310 12814400 13546800 13583264 13647336 13867010 14062320 14215975 14416200 14648250 15052000 15281172 15527145 15624800 16018000 16562288 16640412 16933500 16979080 17059170 17577900 18020250 18062400 18196448 18632574 18749760 19101465 19221600 19531000 20374896 20471004 20702860 20800515 21223850 21972375 22187216 22578000 22745560 23065920 23437200 24027000 24843432 24960618 25468620 25588755 25878575 27093600 27166528 27294672 27734020 28124640 28431950 28832400 29296500 30104000 30137867 30562344 31054290 31249600 31835775 32036000 33124576 33280824 33867000 33958160 34118340 34667525 35155800 36040500 36392896 37265148 38202930 38443200 39062000 40749792 40942008 41405720 41601030 42447700 42647925 43944750 44374432 45156000 45491120 46581435 46874400 48054000 49686864 49921236 50937240 51177510 51757150 53059625 54187200 54589344 55468040 56249280 56863900 57664800 58593000 60275734 61124688 62108580 62401545 63671550 64072000 66249152 66561648 67734000 67916320 68236680 69335050 70311600 71079875 72081000 73495153 74530296 76405860 77635725 78124000 81499584 81884016 82811440 83202060 84895400 85295850 87889500 88748864 90312000 90413601 90982240 93162870 93748800 95507325 96108000 99373728 99842472 101874480 102355020 103514300 104002575 106119250 109178688 110936080 113727800 115329600 117186000 120551468 122249376 124217160 124803090 127343100 127943775 129392875 133123296 135468000 135832640 136473360 138670100 140623200 142159750 144162000 146990306 149060592 150689335 152811720 155271450 156248000 156423779 159178875 163768032 165622880 166404120 169790800 170591700 173337625 175779000 180827202 181964480 186325740 191014650 192216000 198747456 199684944 203748960 204710040 207028600 208005150 212238500 213239625 220485459 221872160 227455600 232907175 234372000 241102936 244498752 248434320 249606180 254686200 255887550 258785750 266246592 270936000 271240803 272946720 277340200 281246400 284319500 288324000 293980612 298121184 301378670 305623440 310542900 312007725 312847558 318357750 327536064 331245760 332808240 339581600 341183400 346675250 351558000 361654404 367475765 372651480 382029300 388178625 399369888 407497920 409420080 414057200 416010300 424477000 426479250 440970918 443744320 452068005 454911200 465814350 468744000 469271337 477536625 482205872 496868640 499212360 509372400 511775100 517571500 520012875 542481606 545893440 554680400 568639000 576648000 587961224 596242368 602757340 611246880 621085800 624015450 625695116 636715500 639718875 661456377 665616480 679163200 682366800 693350500 703116000 723308808 734951530 745302960 753446675 764058600 776357250 782118895 798739776 818840160 828114400 832020600 848954000 852958500 881941836 904136010 909822400 931628700 938542674 955073250 964411744 993737280 998424720 1018744800 1023550200 1035143000 1040025750 1084963212 1102427295 1109360800 1137278000 1164535875 1175922448 1205514680 1222493760 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5093724000 5117751000 5291651016 5424816060 5512136475 5546804000 5631256044 5786470464 5879612240 6027573400 6112468800 6210858000 6240154500 6256951160 6614563770 6656164800 6781020075 6823668000 7039070055 7055534688 7233088080 7349515300 7453029600 7508341392 7534466750 7640586000 7821188950 8188401600 8281144000 8290460287 8320206000 8679705696 8819418360 9041360100 9186894125 9316287000 9385426740 9644117440 9984247200 10011121856 10187448000 10235502000 10583302032 10849632120 11024272950 11093608000 11106088309 11262512088 11301700125 11731783425 11759224480 12055146800 12421716000 12480309000 12513902320 13229127540 13562040150 13647336000 14078140110 14111069376 14466176160 14699030600 14906059200 15016682784 15068933500 15281172000 15642377900 16536409425 16580920574 16640412000 17359411392 17638836720 18082720200 18373788250 18632574000 18770853480 19552972375 19968494400 20471004000 21166604064 21699264240 22048545900 22212176618 22525024176 22603400250 23463566850 23518448960 24110293600 24843432000 24871380861 24960618000 25027804640 26458255080 27124080300 27560682375 28156280220 28932352320 29398061200 30033365568 30137867000 30562344000 31284755800 33072818850 33161841148 33280824000 33318264927 33905100375 35195350275 35277673440 36165440400 36747576500 37265148000 37541706960 39105944750 40942008000 41452301435 42333208128 43398528480 44097091800 44424353236 45050048352 45206800500 46927133700 48220587200 49742761722 49921236000 50055609280 52916510160 54248160600 55121364750 55530441545 56312560440 58658917125 58796122400 60275734000 62569511600 66145637700 66323682296 66636529854 67810200750 70390700550 70555346880 72330880800 73495153000 74530296000 74614142583 75083413920 78211889500 82682047125 82904602870 86797056960 88194183600 88848706472 90100096704 90413601000 93854267400 99485523444 99842472000 99954794781 105833020320 108496321200 110242729500 111060883090 112625120880 117317834250 117592244800 120551468000 124356904305 125139023200 132291275400 132647364592 133273059708 135620401500 140781401100 144661761600 146990306000 149228285166 150166827840 156423779000 165364094250 165809205740 166591324635 175976751375 176388367200 177697412944 180827202000 187708534800 198971046888 199909589562 207261507175 211666040640 216992642400 220485459000 222121766180 225250241760 234635668500 241102936000 248713808610 250278046400 264582550800 265294729184 266546119416 271240803000 277652207725 281562802200 293980612000 298456570332 312847558000 330728188500 331618411480 333182649270 351953502750 352776734400 355394825888 361654404000 373070712915 375417069600 397942093776 399819179124 414523014350 433985284800 440970918000 444243532360 450500483520 469271337000 497427617220 499773973905 529165101600 530589458368 533092238832 542481606000 555304415450 563125604400 587961224000 588622680377 596913140664 621784521525 625695116000 661456377000 663236822960 666365298540 703907005500 710789651776 723308808000 746141425830 750834139200 795884187552 799638358248 829046028700 832956623175 881941836000 888487064720 938542674000 994855234440 999547947810 1036307535875 1058330203200 1066184477664 1084963212000 1110608830900 1126251208800 1177245360754 1193826281328 1243569043050 1251390232000 1322912754000 1326473645920 1332730597080 1388261038625 1407814011000 1492282851660 1591768375104 1599276716496 1658092057400 1665913246350 1763883672000 1765868041131 1776974129440 1865353564575 1877085348000 1989710468880 1999095895620 2072615071750 2132368955328 2169926424000 2221217661800 2252502417600 2354490721508 2387652562656 2487138086100 2498869869525 2645825508000 2652947291840 2665461194160 2776522077250 2815628022000 2943113401885 2984565703320 3108922607625 3198553432992 3316184114800 3331826492700 3531736082262 3553948258880 3730707129150 3754170696000 3979420937760 3998191791240 4145230143500 4164783115875 4442435323600 4708981443016 4775305125312 4974276172200 4997739739050 5291651016000 5297604123393 5330922388320 5553044154500 5631256044000 5886226803770 5969131406640 6217845215250 6397106865984 6632368229600 6663652985400 7063472164524 7461414258300 7958841875520 7996383582480 8290460287000 8329566231750 8829340205655 8884870647200 9326767822875 9417962886032 9948552344400 9995479478100 10595208246786 10661844776640 11106088309000 11262512088000 11772453607540 11938262813280 12435690430500 12494349347625 13264736459200 13327305970800 14126944329048 14715567009425 14922828516600 15992767164960 16580920574000 16659132463500 17658680411310 17769741294400 18653535645750 18835925772064 19897104688800 19990958956200 21190416493572 22212176618000 23544907215080 23876525626560 24871380861000 24988698695250 26488020616965 26654611941600 28253888658096 29431134018850 29845657033200 31985534329920 33161841148000 33318264927000 35317360822620 37307071291500 37671851544128 39794209377600 39981917912400 42380832987144 44146701028275 44424353236000 47089814430160 49742761722000 49977397390500 52976041233930 53309223883200 56507777316192 58862268037700 59691314066400 66323682296000 66636529854000 70634721645240 73577835047125 74614142583000 79963835824800 84761665974288 88293402056550 88848706472000 94179628860320 99485523444000 99954794781000 105952082467860 113015554632384 117724536075400 119382628132800 132440103084825 133273059708000 141269443290480 147155670094250 149228285166000 159927671649600 169523331948576 176586804113100 188359257720640 198971046888000 199909589562000 211904164935720 220733505141375 235449072150800 264880206169650 266546119416000 282538886580960 294311340188500 298456570332000 339046663897152 353173608226200 399819179124000 423808329871440 441467010282750 470898144301600 529760412339300 565077773161920 588622680377000 596913140664000 662200515424125 706347216452400 799638358248000 847616659742880 882934020565500 941796288603200 1059520824678600 1177245360754000 1324401030848250 1412694432904800 1695233319485760 1765868041131000 2119041649357200 2354490721508000 2648802061696500 2825388865809600 3531736082262000 4238083298714400 4708981443016000 5297604123393000 7063472164524000 8476166597428800 10595208246786000 14126944329048000 21190416493572000 42380832987144000
• Sum of all divisors σ(n): 156666867364200960
• Sum of proper divisors (its aliquot sum) s(n): 114286034377056960
• 42380832987144000 is an abundant number, because the sum of its proper divisors (114286034377056960) is greater than itself. Its abundance is 71905201389912960

Bases of 42380832987144000

• Binary: 10010110100100010010010010011111011110111101111101000000₂
• Hexadecimal: 0x9691249F7BDF40
• Base-36: BLAR1W7V4G0

Squares and roots of 42380832987144000

• 42380832987144000 squared (42380832987144000²) is 1796135004684193022069276736000000
• 42380832987144000 cubed (42380832987144000³) is 76121697655883890587863346287478466281984000000000
• The square root of 42380832987144000 is 205866055.9372136997
• The cube root of 42380832987144000 is 348650.1283967471

Scales and comparisons

• 42,380,832,987,144,000 seconds is equal to 1,347,579,396 years, 24 weeks, 2 days, 4 hours.
• To count from 1 to 42,380,832,987,144,000 would take you about four billion, forty-two million, seven hundred thirty-eight thousand, one 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 42380832987144000 cubic inches would be around 29054.2 feet tall.

Recreational maths with 42380832987144000

• 42380832987144000 backwards is 00044178923808324
• The number of decimal digits it has is: 17
• The sum of 42380832987144000's digits is 63
• More coming soon!