138683642791078125
138,683,642,791,078,125 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138683642791078125 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1120 divisors.
138683642791078125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138683642791078125:
33 × 56 × 134 × 413 × 167
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 13 × 13 × 41 × 41 × 41 × 167)See below for interesting mathematical facts about the number 138683642791078125 from the Numbermatics database.
Names of 138683642791078125
- Cardinal: 138683642791078125 can be written as One hundred thirty-eight quadrillion, six hundred eighty-three trillion, six hundred forty-two billion, seven hundred ninety-one million, seventy-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38683642791078125 × 1017
Factors of 138683642791078125
Divisors of 138683642791078125
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 3 5 9 13 15 25 27 39 41 45 65 75 117 123 125 135 167 169 195 205 225 325 351 369 375 501 507 533 585 615 625 675 835 845 975 1025 1107 1125 1503 1521 1599 1625 1681 1755 1845 1875 2171 2197 2505 2535 2665 2925 3075 3125 3375 4175 4225 4509 4563 4797 4875 5043 5125 5535 5625 6513 6591 6847 6929 7515 7605 7995 8125 8405 8775 9225 9375 10855 10985 12525 12675 13325 14391 14625 15129 15375 15625 16875 19539 19773 20541 20787 20875 21125 21853 22545 22815 23985 24375 25215 25625 27675 28125 28223 28561 32565 32955 34235 34645 37575 38025 39975 40625 42025 43875 45387 46125 46875 54275 54925 58617 59319 61623 62361 62625 63375 65559 66625 68921 71955 73125 75645 76875 84375 84669 85683 89011 90077 97695 98865 102705 103935 104375 105625 109265 112725 114075 119925 121875 126075 128125 138375 140625 141115 142805 162825 164775 171175 173225 184869 187083 187875 190125 196677 199875 203125 206763 210125 219375 226935 230625 254007 257049 267033 270231 271375 274625 280727 284089 293085 296595 308115 311805 313125 316875 327795 333125 344605 359775 365625 366899 378225 384375 421875 423345 428415 445055 450385 488475 494325 513525 519675 521875 528125 546325 563625 570375 590031 599625 609375 620289 630375 640625 691875 705575 714025 762021 771147 801099 810693 814125 823875 842181 852267 855875 866125 895973 924345 935415 939375 950625 983385 999375 1033815 1050625 1096875 1100697 1134675 1153125 1157143 1171001 1270035 1285245 1335165 1351155 1356875 1373125 1403635 1420445 1465425 1482975 1540575 1559025 1565625 1584375 1638975 1665625 1723025 1798875 1828125 1834495 1860867 1891125 1921875 2116725 2142075 2225275 2251925 2403297 2432079 2442375 2471625 2526543 2556801 2567625 2598375 2609375 2640625 2687919 2731625 2818125 2851875 2950155 2998125 3101445 3151875 3302091 3459375 3471429 3513003 3527875 3570125 3649451 3693157 3810105 3855735 4005495 4053465 4070625 4119375 4210905 4261335 4279375 4330625 4479865 4621725 4677075 4696875 4753125 4769687 4916925 4996875 5169075 5253125 5484375 5503485 5673375 5765625 5785715 5855005 6350175 6426225 6675825 6755775 6784375 6865625 7018175 7102225 7327125 7414875 7579629 7670403 7702875 7795125 7828125 7921875 8063757 8194875 8328125 8615125 8994375 9172475 9304335 9455625 9906273 10414287 10539009 10583625 10710375 10948353 11079471 11126375 11259625 11509807 11647649 12016485 12160395 12211875 12358125 12632715 12784005 12838125 12991875 13439595 13658125 14090625 14259375 14309061 14750775 14990625 15042859 15507225 15759375 16510455 17296875 17357145 17565015 17639375 17850625 18247255 18465785 19050525 19278675 20027475 20267325 20353125 20596875 21054525 21306675 21396875 21653125 22399325 23108625 23385375 23484375 23765625 23848435 24191271 24584625 24984375 25845375 26265625 27517425 28366875 28928575 29275025 31242861 31617027 31750875 32131125 32845059 33238413 33379125 33778875 33921875 34328125 34529421 34942947 35090875 35511125 36635625 37074375 37898145 38352015 38514375 38975625 40318785 40974375 42927183 43075625 44971875 45128577 45862375 46521675 47278125 47442863 48011041 49531365 52071435 52695045 52918125 53551875 54741765 55397355 55631875 56298125 57549035 58238245 60082425 60801975 61059375 61790625 63163575 63920025 64190625 64959375 67197975 68290625 70453125 71296875 71545305 73753875 74953125 75214295 77536125 78796875 82552275 86785725 87825075 88196875 89253125 91236275 92328925 95252625 96393375 98535177 99715239 100137375 101336625 101765625 102984375 103588263 104828841 105272625 106533375 106984375 108265625 111996625 115543125 116926875 119242175 120956355 122923125 128781549 129226875 135385731 137587125 141834375 142328589 144033123 144642875 146375125 149627491 151419437 156214305 158085135 158754375 160655625 164225295 166192065 166895625 168894375 172647105 174714735 175454375 177555625 183178125 185371875 189490725 191760075 192571875 194878125 195557167 201593925 204871875 214635915 215378125 224859375 225642885 229311875 232608375 236390625 237214315 240055205 247656825 260357175 263475225 264590625 267759375 273708825 276986775 278159375 281490625 287745175 291191225 300412125 304009875 305296875 308953125 310764789 314486523 315817875 319600125 320953125 324796875 335989875 341453125 357726525 368769375 376071475 387680625 406157193 412761375 426985767 432099369 433928625 439125375 440984375 446265625 448882473 454258311 456181375 461644625 476263125 481966875 492675885 498576195 500686875 506683125 517941315 524144205 526363125 532666875 559983125 577715625 584634375 586671501 596210875 604781775 614615625 616757219 643907745 646134375 676928655 687935625 709171875 711642945 720165615 723214375 731875625 748137455 757097185 781071525 790425675 793771875 803278125 821126475 830960325 834478125 844471875 863235525 873573675 877271875 887778125 915890625 926859375 947453625 958800375 962859375 974390625 977785835 1007969625 1024359375 1073179575 1076890625 1128214425 1146559375 1163041875 1186071575 1200276025 1238284125 1280957301 1296298107 1301785875 1317376125 1322953125 1338796875 1346647419 1362774933 1368544125 1384933875 1390796875 1407453125 1438725875 1455956125 1502060625 1520049375 1553823945 1572432615 1579089375 1598000625 1679949375 1760014503 1788632625 1843846875 1850271657 1880357375 1938403125 1945157383 1968452681 2030785965 2063806875 2134928835 2160496845 2169643125 2195626875 2244412365 2271291555 2280906875 2308223125 2381315625 2409834375 2463379425 2492880975 2503434375 2533415625 2589706575 2620721025 2631815625 2663334375 2799915625 2888578125 2923171875 2933357505 2981054375 3023908875 3073078125 3083786095 3219538725 3230671875 3384643275 3439678125 3558214725 3600828075 3616071875 3659378125 3740687275 3785485925 3905357625 3952128375 3968859375 4016390625 4039942257 4088324799 4105632375 4154801625 4172390625 4222359375 4316177625 4367868375 4386359375 4438890625 4737268125 4794001875 4888929175 5039848125 5280043509 5365897875 5550814971 5641072125 5732796875 5815209375 5835472149 5905358043 5930357875 6001380125 6191420625 6404786505 6481490535 6508929375 6586880625 6733237095 6813874665 6842720625 6924669375 7193629375 7279780625 7510303125 7600246875 7769119725 7862163075 7895446875 7990003125 8017843847 8399746875 8800072515 8943163125 9219234375 9251358285 9401786875 9692015625 9725786915 9842263405 10153929825 10319034375 10674644175 10802484225 10848215625 10978134375 11222061825 11356457775 11404534375 11541115625 11906578125 12049171875 12316897125 12464404875 12517171875 12667078125 12948532875 13103605125 13159078125 13316671875 13999578125 14666787525 14905271875 15119544375 15418930475 16097693625 16652444913 16923216375 17198390625 17506416447 17716074129 17791073625 18004140375 18080359375 18296890625 18703436375 18927429625 19526788125 19760641875 20199711285 20441623995 20528161875 20774008125 21580888125 21839341875 23686340625 23970009375 24053531541 24444645875 25199240625 25287045979 26400217545 26829489375 27754074855 28205360625 29076046875 29177360745 29526790215 29651789375 30006900625 30957103125 32023932525 32407452675 32544646875 32934403125 33666185475 34069373325 34213603125 34623346875 35968146875 36398903125 37551515625 38001234375 38845598625 39310815375 39477234375 39950015625 40089219235 41998734375 44000362575 44715815625 46256791425 47008934375 48628934575 49211317025 50769649125 51595171875 52519249341 53148222387 53373220875 54012421125 54241078125 54890671875 56110309125 56782288875 57022671875 57705578125 61584485625 62322024375 64742664375 65518025625 72160594623 73333937625 74526359375 75597721875 75861137937 77094652375 80488468125 83262224565 84616081875 87532082235 88580370645 88955368125 90020701875 93517181875 94637148125 97633940625 98803209375 100998556425 102208119975 102640809375 103870040625 107904440625 109196709375 118431703125 119850046875 120267657705 122223229375 125996203125 126435229895 132001087725 134147446875 138770374275 141026803125 145886803725 147633951075 148258946875 150034503125 154785515625 160119662625 162037263375 162723234375 164672015625 168330927375 170346866625 171068015625 173116734375 179840734375 181994515625 194227993125 196554076875 200446096175 216481783869 220001812875 223579078125 227583413811 231283957125 235044671875 243144672875 246056585125 253848245625 262596246705 265741111935 266866104375 270062105625 280551545625 283911444375 307922428125 311610121875 323713321875 327590128125 328731597727 360802973115 366669688125 377988609375 379305689685 385473261875 402442340625 416311122825 423080409375 437660411175 442901853225 444776840625 450103509375 467585909375 473185740625 488169703125 494016046875 504992782125 511040599875 513204046875 519350203125 539522203125 545983546875 601338288525 611116146875 632176149475 660005438625 670737234375 682750241433 693851871375 705134015625 729434018625 738169755375 741294734375 750172515625 800598313125 810186316875 841654636875 851734333125 971139965625 982770384375 986194793181 1002230480875 1082408919345 1100009064375 1137917069055 1156419785625 1215723364375 1230282925625 1269241228125 1312981233525 1328705559675 1334330521875 1350310528125 1402757728125 1419557221875 1539612140625 1558050609375 1618566609375 1637950640625 1643657988635 1804014865575 1833348440625 1896528448425 1927366309375 2012211703125 2081555614125 2115402046875 2188302055875 2214509266125 2223884203125 2250517546875 2337929546875 2365928703125 2524963910625 2555202999375 2958584379543 3006691442625 3055580734375 3160880747375 3300027193125 3413751207165 3469259356875 3647170093125 3690848776875 4002991565625 4050931584375 4208273184375 4258671665625 4855699828125 4913851921875 4930973965905 5011152404375 5412044596725 5500045321875 5689585345275 5782098928125 6078616821875 6151414628125 6346206140625 6564906167625 6643527798375 6671652609375 6751552640625 7013788640625 7097786109375 8218289943175 8875753138629 9020074327875 9166742203125 9482642242125 9636831546875 10407778070625 10941510279375 11072546330625 12624819553125 12776014996875 14792921897715 15033457213125 15804403736875 16500135965625 17068756035825 17346296784375 18235850465625 18454243884375 20014957828125 20254657921875 21041365921875 21293358328125 24654869829525 25055762021875 27060222983625 27500226609375 28447926726375 28910494640625 30393084109375 30757073140625 32824530838125 33217638991875 41091449715875 44378765693145 45100371639375 47413211210625 52038890353125 54707551396875 55362731653125 63124097765625 63880074984375 73964609488575 75167286065625 79022018684375 82500679828125 85343780179125 86731483921875 91179252328125 92271219421875 123274349147625 125278810109375 135301114918125 142239633631875 164122654190625 166088194959375 205457248579375 221893828465725 225501858196875 237066056053125 260194451765625 273537756984375 276813658265625 369823047442875 375836430328125 395110093421875 426718900895625 616371745738125 676505574590625 711198168159375 820613270953125 830440974796875 1027286242896875 1109469142328625 1127509290984375 1185330280265625 1849115237214375 2133594504478125 3081858728690625 3382527872953125 3555990840796875 5136431214484375 5547345711643125 9245576186071875 10667972522390625 15409293643453125 27736728558215625 46227880930359375 138683642791078125
- Sum of all divisors σ(n): 286882053387713280
- Sum of proper divisors (its aliquot sum) s(n): 148198410596635155
- 138683642791078125 is an abundant number, because the sum of its proper divisors (148198410596635155) is greater than itself. Its abundance is 9514767805557030
Bases of 138683642791078125
- Binary: 1111011001011010000001001110100001011100000101000111011012
- Hexadecimal: 0x1ECB409D0B828ED
- Base-36: 11XJ8XYS9F59
Squares and roots of 138683642791078125
- 138683642791078125 squared (1386836427910781252) is 19233152777803355588867099853515625
- 138683642791078125 cubed (1386836427910781253) is 2667323689583112550188364219612469605213165283203125
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The
square root of 138683642791078125 is 372402527.9064014691 -
The
cube root of 138683642791078125 is 517616.8596242937
Scales and comparisons
How big is 138683642791078125?- 138,683,642,791,078,125 seconds is equal to 4,409,710,864 years, 4 weeks, 2 days, 8 hours, 48 minutes, 45 seconds.
-
To count from 1 to 138,683,642,791,078,125 would take you about thirteen billion, two hundred twenty-nine million, one hundred thirty-two thousand, five hundred ninety-two 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 138683642791078125 cubic inches would be around 43134.7 feet tall.
Recreational maths with 138683642791078125
- 138683642791078125 backwards is 521870197246386831
- The number of decimal digits it has is: 18
- The sum of 138683642791078125's digits is 81
- More coming soon!
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"Number 138683642791078125 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 138683642791078125 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/138683642791078125/
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The information we have on file for 138683642791078125 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 138683642791078125, math, Factors of 138683642791078125, curriculum, school, college, exams, university, Prime factorization of 138683642791078125, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred eighty-three trillion, six hundred forty-two billion, seven hundred ninety-one million, seventy-eight thousand, one hundred twenty-five.