138857814839328768
138,857,814,839,328,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 138857814839328768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1632 divisors.
138857814839328768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-two divisors.
Prime factorization of 138857814839328768:
216 × 32 × 293 × 47 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 29 × 29 × 29 × 47 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138857814839328768 from the Numbermatics database.
Names of 138857814839328768
- Cardinal: 138857814839328768 can be written as One hundred thirty-eight quadrillion, eight hundred fifty-seven trillion, eight hundred fourteen billion, eight hundred thirty-nine million, three hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38857814839328768 × 1017
Factors of 138857814839328768
Divisors of 138857814839328768
- Number of divisors d(n): 1632
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 29 32 36 47 48 58 59 64 72 87 94 96 116 118 128 141 144 174 177 188 192 232 236 256 261 282 288 348 354 376 384 423 464 472 512 522 531 564 576 696 708 752 768 841 846 928 944 1024 1044 1062 1128 1152 1363 1392 1416 1504 1536 1682 1692 1711 1856 1888 2048 2088 2124 2256 2304 2523 2726 2773 2784 2832 3008 3072 3364 3384 3422 3481 3712 3776 4089 4096 4176 4248 4512 4608 5046 5133 5452 5546 5568 5664 6016 6144 6728 6768 6844 6962 7424 7552 7569 8178 8192 8319 8352 8496 9024 9216 10092 10266 10443 10904 11092 11136 11328 12032 12267 12288 13456 13536 13688 13924 14848 15104 15138 15399 16356 16384 16638 16704 16992 18048 18432 20184 20532 20886 21808 22184 22272 22656 24064 24389 24534 24576 24957 26912 27072 27376 27848 29696 30208 30276 30798 31329 32712 32768 33276 33408 33984 36096 36864 39527 40368 41064 41772 43616 44368 44544 45312 48128 48778 49068 49152 49619 49914 53824 54144 54752 55696 59392 60416 60552 61596 62658 65424 65536 66552 66816 67968 72192 73167 73728 79054 80417 80736 82128 83544 87232 88736 89088 90624 96256 97556 98136 98304 99238 99828 100949 107648 108288 109504 111392 118581 118784 120832 121104 123192 125316 130848 133104 133632 135936 144384 146334 147456 148857 158108 160834 161472 163607 164256 167088 174464 177472 178176 181248 192512 195112 196272 196608 198476 199656 201898 205379 215296 216576 219008 219501 222784 237162 237568 241251 241664 242208 246384 250632 261696 266208 267264 271872 288768 292668 294912 297714 302847 316216 321668 322944 327214 328512 334176 348928 354944 355743 356352 362496 385024 390224 392544 396952 399312 403796 410758 430592 433152 438016 439002 445568 446571 474324 475136 482502 483328 484416 490821 492768 501264 523392 532416 534528 543744 577536 585336 589824 595428 605694 616137 632432 643336 645888 654428 657024 668352 697856 709888 711486 712704 723753 724992 770048 780448 785088 793904 798624 807592 821516 861184 866304 876032 878004 891136 893142 908541 948648 950272 965004 966656 968832 981642 985536 1002528 1046784 1064832 1069056 1087488 1146283 1155072 1170672 1190856 1211388 1232274 1264864 1286672 1291776 1308856 1314048 1336704 1395712 1419776 1422972 1425408 1438951 1447506 1449984 1472463 1540096 1560896 1570176 1587808 1597248 1615184 1643032 1722368 1732608 1752064 1756008 1782272 1786284 1817082 1848411 1897296 1900544 1930008 1933312 1937664 1963284 1971072 2005056 2093568 2129664 2138112 2174976 2292566 2310144 2332093 2341344 2381712 2422776 2464548 2529728 2573344 2583552 2617712 2628096 2673408 2791424 2839552 2845944 2850816 2877902 2895012 2899968 2927521 2944926 3080192 3121792 3140352 3175616 3194496 3230368 3286064 3438849 3444736 3465216 3504128 3512016 3564544 3572568 3634164 3696822 3794592 3860016 3866624 3875328 3926568 3942144 4010112 4187136 4259328 4276224 4316853 4349952 4585132 4620288 4664186 4682688 4744603 4763424 4845552 4929096 5059456 5146688 5167104 5235424 5256192 5346816 5582848 5679104 5691888 5701632 5755804 5790024 5799936 5855042 5889852 5955991 6243584 6280704 6351232 6388992 6460736 6572128 6877698 6889472 6930432 6996279 7008256 7024032 7129088 7145136 7268328 7393644 7589184 7720032 7750656 7853136 7884288 8020224 8374272 8518656 8552448 8633706 8699904 8782563 9170264 9240576 9328372 9365376 9489206 9526848 9652813 9691104 9858192 10118912 10293376 10316547 10334208 10470848 10512384 10693632 11165696 11358208 11383776 11511608 11580048 11599872 11710084 11779704 11911982 12487168 12561408 12702464 12777984 12921472 12950559 13144256 13755396 13778944 13860864 13992558 14016512 14048064 14233809 14258176 14290272 14536656 14787288 15178368 15440064 15501312 15706272 15768576 16040448 16748544 17037312 17104896 17267412 17399808 17565126 17867973 18340528 18656744 18730752 18978412 19053696 19305626 19382208 19716384 20237824 20586752 20633094 20668416 20941696 20988837 21024768 21387264 22331392 22716416 22767552 23023216 23160096 23420168 23559408 23823964 24974336 25122816 25404928 25555968 25842944 25901118 26288512 26347689 27510792 27557888 27721728 27985116 28033024 28096128 28467618 28516352 28580544 28958439 29073312 29574576 30356736 30880128 31002624 31412544 31537152 32080896 33497088 34074624 34534824 34799616 35130252 35735946 36681056 37313488 37461504 37956824 38107392 38611252 38764416 39432768 40475648 41173504 41266188 41336832 41883392 41977674 42049536 42701427 42774528 44662784 45432832 45535104 46046432 46320192 46840336 47118816 47647928 49948672 50245632 50809856 51111936 51685888 51802236 52577024 52695378 53603919 55021584 55115776 55970232 56066048 56192256 56935236 57032704 57161088 57916878 58146624 59149152 60713472 61760256 62005248 62825088 63074304 64161792 66994176 67630697 68149248 69069648 70260504 71471892 73362112 74626976 74923008 75913648 76214784 77222504 77528832 78865536 80951296 82347008 82532376 82673664 83766784 83955348 84099072 84898109 85402854 85549056 86875317 89325568 90865664 91070208 92092864 92640384 93680672 94237632 95295856 99897344 100491264 101619712 102223872 103371776 103604472 105154048 105390756 107207838 110043168 111940464 112132096 112384512 113870472 114065408 114322176 115833756 116293248 118298304 121426944 123520512 124010496 125650176 126148608 128323584 133988352 135261394 136298496 137593487 138139296 140521008 142943784 146724224 149253952 149846016 151827296 152429568 154445008 155057664 157731072 161902592 164694016 165064752 165347328 167533568 167910696 168198144 169796218 170805708 171098112 172723739 173750634 181731328 182140416 184185728 185280768 187361344 188475264 190591712 199794688 200982528 202892091 203239424 204447744 206743552 207208944 210308096 210781512 214415676 220086336 223880928 224769024 227740944 228130816 228644352 231667512 232586496 236596608 242853888 247041024 248020992 251300352 252297216 254694327 256647168 267976704 270522788 272596992 275186974 276278592 279931577 281042016 285887568 293448448 298507904 299692032 303654592 304859136 308890016 310115328 315462144 323805184 329388032 330129504 335067136 335821392 336396288 339592436 341611416 342196224 345447478 347501268 364280832 368371456 370561536 374722688 376950528 381183424 399589376 401965056 405784182 406478848 408895488 412780461 413487104 414417888 420616192 421563024 428831352 440172672 447761856 449538048 455481888 457288704 463335024 465172992 473193216 485707776 494082048 496041984 502600704 504594432 509388654 513294336 518171217 541045576 545193984 550373948 552557184 559863154 562084032 571775136 586896896 597015808 599384064 607309184 608676273 609718272 617780032 620230656 630924288 647610368 658776064 660259008 670134272 671642784 679184872 683222832 684392448 690894956 695002536 728561664 736742912 741123072 749445376 753901056 762366848 764082981 799178752 803930112 811568364 812957696 817790976 825560922 826974208 828835776 839794731 841232384 843126048 857662704 880345344 895523712 899076096 910963776 914577408 926670048 930345984 946386432 971415552 988164096 1005201408 1009188864 1018777308 1026588672 1036342434 1082091152 1100747896 1105114368 1119726308 1124168064 1143550272 1173793792 1194031616 1198768128 1214618368 1217352546 1219436544 1235560064 1238341383 1240461312 1261848576 1295220736 1317552128 1320518016 1340268544 1343285568 1358369744 1366445664 1381789912 1390005072 1457123328 1473485824 1482246144 1498890752 1507802112 1524733696 1528165962 1554513651 1598357504 1623136728 1625915392 1635581952 1651121844 1653948416 1657671552 1679589462 1682464768 1686252096 1715325408 1760690688 1791047424 1798152192 1821927552 1829154816 1853340096 1860691968 1892772864 1942831104 1976328192 2010402816 2037554616 2053177344 2072684868 2164182304 2201495792 2210228736 2239452616 2248336128 2287100544 2347587584 2388063232 2397536256 2429236736 2434705092 2438873088 2471120128 2476682766 2480922624 2519384193 2523697152 2590441472 2635104256 2641036032 2680537088 2686571136 2716739488 2732891328 2763579824 2780010144 2914246656 2946971648 2964492288 2997781504 3015604224 3049467392 3056331924 3109027302 3246273456 3251830784 3302243688 3307896832 3315343104 3359178924 3364929536 3372504192 3430650816 3521381376 3582094848 3596304384 3643855104 3658309632 3706680192 3721383936 3785545728 3885662208 3952656384 3990211123 4020805632 4075109232 4145369736 4328364608 4402991584 4420457472 4478905232 4496672256 4574201088 4695175168 4776126464 4795072512 4858473472 4869410184 4877746176 4942240256 4953365532 4961845248 5008988431 5038768386 5047394304 5270208512 5282072064 5361074176 5373142272 5433478976 5465782656 5527159648 5560020288 5828493312 5893943296 5928984576 5995563008 6031208448 6098934784 6112663848 6218054604 6492546912 6604487376 6615793664 6630686208 6718357848 6729859072 6745008384 6861301632 7042762752 7164189696 7192608768 7287710208 7316619264 7413360384 7442767872 7571091456 7771324416 7905312768 7980422246 8041611264 8118015733 8150218464 8290739472 8656729216 8805983168 8840914944 8957810464 8993344512 9148402176 9390350336 9552252928 9716946944 9738820368 9755492352 9884480512 9906731064 9923690496 10017976862 10077536772 10094788608 10564144128 10722148352 10746284544 10866957952 10931565312 11054319296 11120040576 11656986624 11787886592 11857969152 11970633369 11991126016 12062416896 12197869568 12225327696 12436109208 12985093824 13208974752 13261372416 13436715696 13459718144 13490016768 13722603264 14085525504 14328379392 14385217536 14575420416 14633238528 14826720768 14885535744 15026965293 15142182912 15810625536 15960844492 16083222528 16236031466 16300436928 16581478944 17313458432 17611966336 17681829888 17915620928 17986689024 18296804352 18780700672 19104505856 19433893888 19477640736 19768961024 19813462128 19847380992 20035953724 20155073544 20189577216 21128288256 21492569088 21733915904 21863130624 22108638592 22240081152 23313973248 23575773184 23715938304 23941266738 23982252032 24124833792 24354047199 24395739136 24450655392 24872218416 25970187648 26417949504 26522744832 26873431392 26980033536 27445206528 28171051008 28656758784 29150840832 29266477056 29653441536 29771071488 30053930586 30284365824 31921688984 32166445056 32472062932 32600873856 33162957888 34626916864 35223932672 35363659776 35831241856 35911900107 35973378048 36593608704 37561401344 38209011712 38867787776 38955281472 39537922048 39626924256 40071907448 40310147088 40379154432 42256576512 42985138176 43467831808 43726261248 44217277184 44480162304 45080895879 47151546368 47431876608 47882533476 47964504064 48249667584 48708094398 48791478272 48901310784 49744436832 51940375296 52835899008 53045489664 53746862784 53960067072 54890413056 56342102016 57313517568 58301681664 59306883072 59542142976 60107861172 60568731648 63843377968 64944125864 65201747712 66325915776 69253833728 70447865344 70727319552 71662483712 71823800214 71946756096 73062141597 73187217408 75122802688 76418023424 77735575552 77910562944 79075844096 79253848512 80143814896 80620294176 84513153024 85970276352 86935663616 87452522496 88434554368 88960324608 90161791758 94303092736 95765066952 95929008128 96499335168 97416188796 97582956544 97802621568 99488873664 103880750592 105671798016 106090979328 107493725568 107920134144 109780826112 112684204032 114627035136 116603363328 118613766144 120215722344 121137463296 127686755936 129888251728 130403495424 132651831552 138507667456 140895730688 141454639104 143324967424 143647600428 143893512192 146124283194 146374434816 152836046848 155471151104 155821125888 158151688192 158507697024 160287629792 161240588352 169026306048 171940552704 173871327232 174905044992 176869108736 177920649216 180323583516 191530133904 191858016256 194832377592 195165913088 195605243136 198977747328 207761501184 211343596032 212181958656 214987451136 215840268288 219561652224 225368408064 229254070272 233206726656 235422456257 237227532288 240431444688 255373511872 259776503456 260806990848 265303663104 277015334912 281791461376 282909278208 286649934848 287295200856 287787024384 292248566388 292748869632 310942302208 311642251776 316303376384 317015394048 320575259584 322481176704 338052612096 343881105408 347742654464 349810089984 353738217472 355841298432 360647167032 383060267808 389664755184 390331826176 391210486272 397955494656 415523002368 422687192064 424363917312 429974902272 431680536576 439123304448 458508140544 466413453312 470844912514 474455064576 480862889376 510747023744 519553006912 521613981696 530607326208 554030669824 563582922752 573299869696 574590401712 575574048768 584497132776 585497739264 623284503552 632606752768 634030788096 641150519168 644962353408 676105224192 687762210816 695485308928 699620179968 706267368771 707476434944 711682596864 721294334064 766120535616 779329510368 782420972544 795910989312 831046004736 845374384128 848727834624 859949804544 863361073152 878246608896 932826906624 941689825028 948910129152 961725778752 1021494047488 1039106013824 1043227963392 1061214652416 1108061339648 1127165845504 1146599739392 1149180803424 1168994265552 1170995478528 1246569007104 1268061576192 1282301038336 1289924706816 1375524421632 1390970617856 1399240359936 1412534737542 1414952869888 1423365193728 1442588668128 1532241071232 1558659020736 1564841945088 1591821978624 1662092009472 1690748768256 1719899609088 1726722146304 1756493217792 1883379650056 1897820258304 1923451557504 2042988094976 2078212027648 2086455926784 2118802106313 2122429304832 2216122679296 2254331691008 2293199478784 2298361606848 2337988531104 2493138014208 2536123152384 2564602076672 2579849413632 2781941235712 2798480719872 2825069475084 2829905739776 2846730387456 2885177336256 3064482142464 3117318041472 3129683890176 3183643957248 3324184018944 3381497536512 3439799218176 3512986435584 3766759300112 3846903115008 4085976189952 4156424055296 4172911853568 4237604212626 4244858609664 4432245358592 4508663382016 4586398957568 4596723213696 4675977062208 4986276028416 5072246304768 5129204153344 5159698827264 5563882471424 5650138950168 5659811479552 5693460774912 5770354672512 6128964284928 6234636082944 6259367780352 6367287914496 6648368037888 6762995073024 6879598436352 7533518600224 7693806230016 8171952379904 8312848110592 8345823707136 8475208425252 8489717219328 9017326764032 9172797915136 9193446427392 9351954124416 9972552056832 10144492609536 10258408306688 10319397654528 11300277900336 11319622959104 11540709345024 12257928569856 12469272165888 12518735560704 12734575828992 13296736075776 13525990146048 13759196872704 15067037200448 15387612460032 16343904759808 16625696221184 16691647414272 16950416850504 16979434438656 18345595830272 18386892854784 18703908248832 19945104113664 20288985219072 20516816613376 20638795309056 22600555800672 23081418690048 24515857139712 24938544331776 25037471121408 25469151657984 27051980292096 27518393745408 30134074400896 30775224920064 32687809519616 33251392442368 33900833701008 33958868877312 36773785709568 37407816497664 39890208227328 40577970438144 41033633226752 41277590618112 45201111601344 46162837380096 49031714279424 49877088663552 50074942242816 50938303315968 55036787490816 60268148801792 61550449840128 65375619039232 66502784884736 67801667402016 73547571419136 74815632995328 81155940876288 82067266453504 82555181236224 90402223202688 92325674760192 98063428558848 99754177327104 101876606631936 120536297603584 123100899680256 130751238078464 133005569769472 135603334804032 147095142838272 149631265990656 164134532907008 165110362472448 180804446405376 184651349520384 196126857117696 199508354654208 241072595207168 246201799360512 261502476156928 266011139538944 271206669608064 294190285676544 299262531981312 328269065814016 361608892810752 369302699040768 392253714235392 399016709308416 482145190414336 492403598721024 532022279077888 542413339216128 588380571353088 598525063962624 723217785621504 738605398081536 784507428470784 798033418616832 964290380828672 984807197442048 1084826678432256 1176761142706176 1197050127925248 1446435571243008 1477210796163072 1596066837233664 1928580761657344 2169653356864512 2353522285412352 2394100255850496 2892871142486016 2954421592326144 3857161523314688 4339306713729024 4788200511700992 5785742284972032 7714323046629376 8678613427458048 11571484569944064 15428646093258752 17357226854916096 23142969139888128 34714453709832192 46285938279776256 69428907419664384 138857814839328768
- Sum of all divisors σ(n): 431622987034636800
- Sum of proper divisors (its aliquot sum) s(n): 292765172195308032
- 138857814839328768 is an abundant number, because the sum of its proper divisors (292765172195308032) is greater than itself. Its abundance is 153907357355979264
Bases of 138857814839328768
- Binary: 1111011010101001001110010011001111100100100000000000000002
- Hexadecimal: 0x1ED527267C90000
- Base-36: 11Z8ZJI0SU80
Squares and roots of 138857814839328768
- 138857814839328768 squared (1388578148393287682) is 19281492741953312608059084792397824
- 138857814839328768 cubed (1388578148393287683) is 2677385948988014627118339081954104169007537383800832
-
The
square root of 138857814839328768 is 372636303.7055417767 -
The
cube root of 138857814839328768 is 517833.4597262115
Scales and comparisons
How big is 138857814839328768?- 138,857,814,839,328,768 seconds is equal to 4,415,248,996 years, 24 weeks, 2 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,857,814,839,328,768 would take you about thirteen billion, two hundred forty-five million, seven hundred forty-six thousand, nine 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 138857814839328768 cubic inches would be around 43152.8 feet tall.
Recreational maths with 138857814839328768
- 138857814839328768 backwards is 867823938418758831
- The number of decimal digits it has is: 18
- The sum of 138857814839328768's digits is 99
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138857814839328768 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138857814839328768 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138857814839328768/
Chicago style:
Numbermatics. 2024. "Number 138857814839328768 - Facts about the integer". https://numbermatics.com/n/138857814839328768/
The information we have on file for 138857814839328768 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 138857814839328768, math, Factors of 138857814839328768, curriculum, school, college, exams, university, Prime factorization of 138857814839328768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred fifty-seven trillion, eight hundred fourteen billion, eight hundred thirty-nine million, three hundred twenty-eight thousand, seven hundred sixty-eight.