138766534896313728000
138,766,534,896,313,728,000 is an even composite number composed of six prime numbers multiplied together.
138766534896313728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 138766534896313728000:
210 × 33 × 53 × 17 × 41 × 57607394329
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 41 × 57607394329)See below for interesting mathematical facts about the number 138766534896313728000 from the Numbermatics database.
Names of 138766534896313728000
- Cardinal: 138766534896313728000 can be written as One hundred thirty-eight quintillion, seven hundred sixty-six quadrillion, five hundred thirty-four trillion, eight hundred ninety-six billion, three hundred thirteen million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38766534896313728 × 1020
Factors of 138766534896313728000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 57607394397
Divisors of 138766534896313728000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 41 45 48 50 51 54 60 64 68 72 75 80 82 85 90 96 100 102 108 120 123 125 128 135 136 144 150 153 160 164 170 180 192 200 204 205 216 225 240 246 250 255 256 270 272 288 300 306 320 328 340 360 369 375 384 400 408 410 425 432 450 459 480 492 500 510 512 540 544 576 600 612 615 640 656 675 680 697 720 738 750 765 768 800 816 820 850 864 900 918 960 984 1000 1020 1024 1025 1080 1088 1107 1125 1152 1200 1224 1230 1275 1280 1312 1350 1360 1394 1440 1476 1500 1530 1536 1600 1632 1640 1700 1728 1800 1836 1845 1920 1968 2000 2040 2050 2091 2125 2160 2176 2214 2250 2295 2304 2400 2448 2460 2550 2560 2624 2700 2720 2788 2880 2952 3000 3060 3072 3075 3200 3264 3280 3375 3400 3456 3485 3600 3672 3690 3825 3840 3936 4000 4080 4100 4182 4250 4320 4352 4428 4500 4590 4608 4800 4896 4920 5100 5120 5125 5248 5400 5440 5535 5576 5760 5904 6000 6120 6150 6273 6375 6400 6528 6560 6750 6800 6912 6970 7200 7344 7380 7650 7680 7872 8000 8160 8200 8364 8500 8640 8704 8856 9000 9180 9216 9225 9600 9792 9840 10200 10250 10455 10496 10800 10880 11070 11152 11475 11520 11808 12000 12240 12300 12546 12750 12800 13056 13120 13500 13600 13824 13940 14400 14688 14760 15300 15360 15375 15744 16000 16320 16400 16728 17000 17280 17408 17425 17712 18000 18360 18450 18819 19125 19200 19584 19680 20400 20500 20910 20992 21600 21760 22140 22304 22950 23040 23616 24000 24480 24600 25092 25500 25600 26112 26240 27000 27200 27648 27675 27880 28800 29376 29520 30600 30750 31365 31488 32000 32640 32800 33456 34000 34560 34850 35424 36000 36720 36900 37638 38250 38400 39168 39360 40800 41000 41820 41984 43200 43520 44280 44608 45900 46080 46125 47232 48000 48960 49200 50184 51000 52224 52275 52480 54000 54400 55350 55760 57375 57600 58752 59040 61200 61500 62730 62976 64000 65280 65600 66912 68000 69120 69700 70848 72000 73440 73800 75276 76500 76800 78336 78720 81600 82000 83640 86400 87040 87125 88560 89216 91800 92250 94095 94464 96000 97920 98400 100368 102000 104550 104960 108000 108800 110700 111520 114750 115200 117504 118080 122400 123000 125460 125952 128000 130560 131200 133824 136000 138240 138375 139400 141696 144000 146880 147600 150552 153000 156672 156825 157440 163200 164000 167280 172800 174250 177120 178432 183600 184500 188190 188928 192000 195840 196800 200736 204000 209100 209920 216000 217600 221400 223040 229500 230400 235008 236160 244800 246000 250920 261120 261375 262400 267648 272000 276750 278800 283392 288000 293760 295200 301104 306000 313650 314880 326400 328000 334560 345600 348500 354240 356864 367200 369000 376380 377856 384000 391680 393600 401472 408000 418200 432000 435200 442800 446080 459000 470016 470475 472320 489600 492000 501840 522750 524800 535296 544000 553500 557600 566784 576000 587520 590400 602208 612000 627300 629760 652800 656000 669120 691200 697000 708480 713728 734400 738000 752760 783360 784125 787200 802944 816000 836400 864000 885600 892160 918000 940950 944640 979200 984000 1003680 1045500 1049600 1070592 1088000 1107000 1115200 1133568 1152000 1175040 1180800 1204416 1224000 1254600 1305600 1312000 1338240 1394000 1416960 1468800 1476000 1505520 1568250 1574400 1605888 1632000 1672800 1728000 1771200 1784320 1836000 1881900 1889280 1958400 1968000 2007360 2091000 2141184 2176000 2214000 2230400 2350080 2352375 2361600 2408832 2448000 2509200 2624000 2676480 2788000 2833920 2937600 2952000 3011040 3136500 3148800 3211776 3264000 3345600 3456000 3542400 3568640 3672000 3763800 3916800 3936000 4014720 4182000 4428000 4460800 4704750 4723200 4817664 4896000 5018400 5248000 5352960 5576000 5667840 5875200 5904000 6022080 6273000 6423552 6528000 6691200 7084800 7344000 7527600 7872000 8029440 8364000 8856000 8921600 9409500 9446400 9635328 9792000 10036800 10705920 11152000 11750400 11808000 12044160 12546000 13382400 14169600 14688000 15055200 15744000 16058880 16728000 17712000 17843200 18819000 19270656 19584000 20073600 22304000 23616000 24088320 25092000 26764800 28339200 29376000 30110400 32117760 33456000 35424000 37638000 40147200 44608000 47232000 48176640 50184000 53529600 58752000 60220800 66912000 70848000 75276000 80294400 89216000 96353280 100368000 120441600 133824000 141696000 150552000 160588800 200736000 240883200 267648000 301104000 401472000 481766400 602208000 802944000 1204416000 2408832000 57607394329 115214788658 172822182987 230429577316 288036971645 345644365974 460859154632 518466548961 576073943290 691288731948 864110914935 921718309264 979325703593 1036933097922 1152147886580 1382577463896 1440184858225 1555399646883 1728221829870 1843436618528 1958651407186 2073866195844 2304295773160 2361903167489 2592332744805 2765154927792 2880369716450 2937977110779 3110799293766 3456443659740 3686873237056 3917302814372 4147732391688 4320554574675 4608591546320 4723806334978 4896628517965 5184665489610 5530309855584 5760739432900 5875954221558 6221598587532 6912887319480 7085709502467 7200924291125 7373746474112 7776998234415 7834605628744 8295464783376 8641109149350 8813931332337 9217183092640 9447612669956 9793257035930 10369330979220 11060619711168 11521478865800 11751908443116 11809515837445 12443197175064 12961663724025 13825774638960 14171419004934 14401848582250 14689885553895 14747492948224 15553996468830 15669211257488 16590929566752 17282218298700 17627862664674 18434366185280 18895225339912 19586514071860 20738661958440 21257128507401 21602772873375 22121239422336 23042957731600 23503816886232 23619031674890 24483142589825 24886394350128 25923327448050 26441793997011 27651549277920 28342838009868 28803697164500 29379771107790 29494985896448 31107992937660 31338422514976 33181859133504 34564436597400 35255725329348 35428547512335 36868732370560 37790450679824 38884991172075 39173028143720 40152353847313 41477323916880 42514257014802 43205545746750 44069656661685 44242478844672 46085915463200 47007633772464 47238063349780 48966285179650 49772788700256 51846654896100 52883587994022 55303098555840 56685676019736 57607394329000 58759542215580 58989971792896 59047579187225 62215985875320 62676845029952 63771385522203 64808318620125 66363718267008 69128873194800 70511450658696 70857095024670 73449427769475 73737464741120 75580901359648 77769982344150 78346056287440 80304707694626 82954647833760 85028514029604 86411091493500 88139313323370 88484957689344 92171830926400 94015267544928 94476126699560 97932570359300 99545577400512 103693309792200 105767175988044 106285642537005 110606197111680 113371352039472 115214788658000 117519084431160 118095158374450 120457061541939 122415712949125 124431971750640 125353690059904 127542771044406 129616637240250 132208969985055 132727436534016 138257746389600 141022901317392 141714190049340 146898855538950 147474929482240 151161802719296 155539964688300 156692112574880 160609415389252 165909295667520 170057028059208 172822182987000 176278626646740 176969915378688 177142737561675 184343661852800 188030535089856 188952253399120 194424955860375 195865140718600 199091154801024 200761769236565 207386619584400 211534351976088 212571285074010 220348283308425 221212394223360 226742704078944 230429577316000 235038168862320 236190316748900 240914123083878 244831425898250 248863943501280 250707380119808 255085542088812 259233274480500 264417939970110 265454873068032 276515492779200 282045802634784 283428380098680 293797711077900 294949858964480 295237895936125 302323605438592 311079929376600 313384225149760 318856927611015 321218830778504 331818591335040 340114056118416 345644365974000 352557253293480 354285475123350 361371184625817 367247138847375 368687323705600 376061070179712 377904506798240 388849911720750 391730281437200 398182309602048 401523538473130 414773239168800 423068703952176 425142570148020 440696566616850 442424788446720 453485408157888 460859154632000 470076337724640 472380633497800 481828246167756 489662851796500 497727887002560 501414760239616 510171084177624 518466548961000 528835879940220 530909746136064 531428212685025 553030985558400 564091605269568 566856760197360 587595422155800 590475791872250 602285307709695 604647210877184 622159858753200 626768450299520 637713855222030 642437661557008 661044849925275 663637182670080 680228112236832 691288731948000 705114506586960 708570950246700 722742369251634 734494277694750 737374647411200 752122140359424 755809013596480 777699823441500 783460562874400 796364619204096 803047076946260 829546478337600 846137407904352 850285140296040 881393133233700 884849576893440 885713687808375 906970816315776 921718309264000 940152675449280 944761266995600 963656492335512 979325703593000 995455774005120 1002829520479232 1003808846182825 1020342168355248 1036933097922000 1057671759880440 1062856425370050 1084113553877451 1101741416542125 1106061971116800 1128183210539136 1133713520394720 1175190844311600 1180951583744500 1204570615419390 1209294421754368 1244319717506400 1253536900599040 1275427710444060 1284875323114016 1322089699850550 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7255766530526208 7373746474112000 7521221403594240 7558090135964800 7709251938684096 7834605628744000 7963646192040960 7971423190275375 8030470769462600 8162737346841984 8295464783376000 8461374079043520 8502851402960400 8672908431019608 8813931332337000 9025465684313088 9034279615645425 9069708163157760 9401526754492800 9447612669956000 9636564923355120 9954557740051200 10038088461828250 10203421683552480 10279002584912128 10576717598804400 10628564253700500 10841135538774510 10883649795789312 11060619711168000 11281832105391360 11337135203947200 11563877908026144 11751908443116000 12045706154193900 12092944217543680 12443197175064000 12535369005990400 12754277104440600 12848753231140160 13220896998505500 13272743653401600 13538198526469632 13604562244736640 14102290131739200 14171419004934000 14454847385032680 15042442807188480 15057132692742375 15116180271929600 15418503877368192 15669211257488000 15942846380550750 16060941538925200 16325474693683968 16590929566752000 16922748158087040 17005702805920800 17345816862039216 17627862664674000 18068559231290850 18139416326315520 18803053508985600 18895225339912000 19273129846710240 19909115480102400 20076176923656500 20406843367104960 20558005169824256 21153435197608800 21257128507401000 21682271077549020 21767299591578624 22121239422336000 22563664210782720 22674270407894400 23127755816052288 23503816886232000 24091412308387800 24886394350128000 25070738011980800 25508554208881200 25697506462280320 26441793997011000 27076397052939264 27102838846936275 27209124489473280 28204580263478400 28342838009868000 28909694770065360 30114265385484750 30232360543859200 30837007754736384 31338422514976000 31885692761101500 32121883077850400 32650949387367936 33181859133504000 33845496316174080 34011405611841600 34691633724078432 35255725329348000 36137118462581700 36278832652631040 37606107017971200 37790450679824000 38546259693420480 39818230960204800 40152353847313000 40813686734209920 41116010339648512 42306870395217600 42514257014802000 43364542155098040 45127328421565440 45171398078227125 45348540815788800 46255511632104576 47007633772464000 48182824616775600 49772788700256000 51017108417762400 51395012924560640 52883587994022000 54205677693872550 54418248978946560 56409160526956800 56685676019736000 57819389540130720 60228530770969500 60464721087718400 61674015509472768 62676845029952000 63771385522203000 64243766155700800 65301898774735872 66363718267008000 67690992632348160 68022811223683200 69383267448156864 70511450658696000 72274236925163400 75212214035942400 75580901359648000 77092519386840960 80304707694626000 81627373468419840 84613740790435200 85028514029604000 86729084310196080 90342796156454250 90697081631577600 92511023264209152 94015267544928000 96365649233551200 99545577400512000 102034216835524800 102790025849121280 105767175988044000 108411355387745100 108836497957893120 112818321053913600 113371352039472000 115638779080261440 120457061541939000 123348031018945536 125353690059904000 127542771044406000 128487532311401600 135381985264696320 135514194234681375 136045622447366400 138766534896313728 141022901317392000 144548473850326800 151161802719296000 154185038773681920 160609415389252000 163254746936839680 169227481580870400 170057028059208000 173458168620392160 180685592312908500 181394163263155200 185022046528418304 188030535089856000 192731298467102400 199091154801024000 204068433671049600 205580051698242560 211534351976088000 216822710775490200 225636642107827200 226742704078944000 231277558160522880 240914123083878000 255085542088812000 256975064622803200 271028388469362750 272091244894732800 277533069792627456 282045802634784000 289096947700653600 302323605438592000 308370077547363840 321218830778504000 326509493873679360 338454963161740800 340114056118416000 346916337240784320 361371184625817000 370044093056836608 376061070179712000 385462596934204800 408136867342099200 423068703952176000 433645421550980400 453485408157888000 462555116321045760 481828246167756000 510171084177624000 513950129245606400 542056776938725500 544182489789465600 555066139585254912 564091605269568000 578193895401307200 616740155094727680 642437661557008000 676909926323481600 680228112236832000 693832674481568640 722742369251634000 770925193868409600 816273734684198400 846137407904352000 867290843101960800 906970816315776000 925110232642091520 963656492335512000 1020342168355248000 1027900258491212800 1084113553877451000 1110132279170509824 1128183210539136000 1156387790802614400 1284875323114016000 1360456224473664000 1387665348963137280 1445484738503268000 1541850387736819200 1632547469368396800 1692274815808704000 1734581686203921600 1850220465284183040 1927312984671024000 2040684336710496000 2168227107754902000 2312775581605228800 2569750646228032000 2720912448947328000 2775330697926274560 2890969477006536000 3083700775473638400 3384549631617408000 3469163372407843200 3854625969342048000 4081368673420992000 4336454215509804000 4625551163210457600 5139501292456064000 5550661395852549120 5781938954013072000 6938326744815686400 7709251938684096000 8162737346841984000 8672908431019608000 9251102326420915200 11563877908026144000 13876653489631372800 15418503877368192000 17345816862039216000 23127755816052288000 27753306979262745600 34691633724078432000 46255511632104576000 69383267448156864000 138766534896313728000
- Sum of all divisors σ(n): 556291545652711814400
- Sum of proper divisors (its aliquot sum) s(n): 417525010756398086400
- 138766534896313728000 is an abundant number, because the sum of its proper divisors (417525010756398086400) is greater than itself. Its abundance is 278758475860084358400
Bases of 138766534896313728000
- Binary: 11110000101110001011100010001000101100001101010000001111100000000002
- Hexadecimal: 0x785C5C44586A07C00
- Base-36: TAA6V89P08AO0
Squares and roots of 138766534896313728000
- 138766534896313728000 squared (1387665348963137280002) is 19256151207129855625735803001257984000000
- 138766534896313728000 cubed (1387665348963137280003) is 2672109378452878828498019658196398410638588328804352000000000
-
The
square root of 138766534896313728000 is 11779920835.7405241095 -
The
cube root of 138766534896313728000 is 5177199.6672643997
Scales and comparisons
How big is 138766534896313728000?- 138,766,534,896,313,728,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,766,534,896,313,728,000 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 138766534896313728000 cubic inches would be around 431433.3 feet tall.
Recreational maths with 138766534896313728000
- 138766534896313728000 backwards is 000827313698435667831
- 138766534896313728000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138766534896313728000's digits is 90
- More coming soon!
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"Number 138766534896313728000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138766534896313728000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138766534896313728000/
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The information we have on file for 138766534896313728000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138766534896313728000, math, Factors of 138766534896313728000, curriculum, school, college, exams, university, Prime factorization of 138766534896313728000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, seven hundred sixty-six quadrillion, five hundred thirty-four trillion, eight hundred ninety-six billion, three hundred thirteen million, seven hundred twenty-eight thousand.