138027684969948501
138,027,684,969,948,501 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138027684969948501 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138027684969948501 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138027684969948501:
33 × 72 × 13 × 23 × 412 × 53 × 19792
(3 × 3 × 3 × 7 × 7 × 13 × 23 × 41 × 41 × 53 × 1979 × 1979)See below for interesting mathematical facts about the number 138027684969948501 from the Numbermatics database.
Names of 138027684969948501
- Cardinal: 138027684969948501 can be written as One hundred thirty-eight quadrillion, twenty-seven trillion, six hundred eighty-four billion, nine hundred sixty-nine million, nine hundred forty-eight thousand, five hundred one.
Scientific notation
- Scientific notation: 1.38027684969948501 × 1017
Factors of 138027684969948501
Divisors of 138027684969948501
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 7 9 13 21 23 27 39 41 49 53 63 69 91 117 123 147 159 161 189 207 273 287 299 351 369 371 441 477 483 533 621 637 689 819 861 897 943 1107 1113 1127 1219 1323 1431 1449 1599 1681 1911 1979 2009 2067 2093 2173 2457 2583 2597 2691 2829 3339 3381 3657 3731 4347 4797 4823 5043 5733 5937 6027 6201 6279 6519 6601 7749 7791 8073 8487 8533 10017 10143 10971 11193 11767 12259 13853 14391 14469 14651 15129 15211 15847 17199 17811 18081 18603 18837 19557 19803 21853 23373 25461 25599 25727 26117 28249 30429 32913 33579 33761 35301 36777 38663 41559 43407 43953 45387 45517 45633 46207 47541 49979 53433 54243 56511 58671 59409 59731 65559 70119 76797 77181 78351 81139 82369 84747 85813 89093 96971 100737 101283 104887 105903 106477 110331 110929 115989 124677 130221 131859 136551 136899 138621 142623 149937 152971 178227 179193 180089 196677 197743 230391 231543 235053 243417 247107 254241 257439 267279 270641 290913 303849 314661 317709 318619 319431 330993 332787 347967 349853 374031 395577 409653 410697 415863 427869 449811 458913 502619 537579 540267 567973 590031 591721 593229 600691 623651 649727 694629 705159 730251 734209 741321 762723 772317 776503 801837 811923 872739 911547 943983 955857 958293 998361 1043901 1049559 1054807 1070797 1158209 1228959 1247589 1260623 1349433 1363531 1376739 1384201 1507857 1612737 1620801 1703919 1775163 1779687 1802073 1866197 1870953 1894487 1949181 2049139 2190753 2202627 2223963 2230333 2316951 2329509 2405511 2412401 2435769 2448971 2618217 2831949 2867571 2874879 2995083 3148677 3164421 3212391 3326699 3474627 3518333 3781869 3916441 3975811 4090593 4130217 4142047 4152603 4300367 4365557 4523571 4548089 4862403 5111757 5139463 5325489 5339061 5406219 5598591 5612859 5683461 5847543 6147417 6607881 6690999 6988527 7237203 7307307 7346913 7383649 8107463 8602713 9446031 9493263 9544717 9637173 9980097 10423881 10554999 11345607 11749323 11927433 12271779 12426141 12457809 12901101 13063379 13096671 13570713 13644267 14343973 15335271 15418389 15976467 16218657 16795773 16838577 16886807 17050383 17542629 18442251 19823643 20072997 20965581 21711609 22040739 22150947 23286893 24260561 24322389 24628331 26638807 27415087 28479789 28634151 28911519 28994329 29940291 30102569 31271643 31361213 31664997 31836623 34036821 35247969 35782299 36815337 37278423 37373427 38703303 39190137 39290013 40932801 43031919 43247087 46255167 50387319 50660421 50913733 51151149 51685543 55326753 55904771 56752241 60218991 65134827 66122217 66452841 66813019 69860679 72781683 72967167 73884993 76514077 79916421 82245261 85902453 86982987 89820873 90078143 90307707 91443653 94083639 94994991 95509869 98908441 100407811 105743907 107346897 111835269 116109909 117570411 117870039 118207649 122798403 129095757 129741261 138765501 151981263 152741199 155056629 160574081 163008251 167714313 169823927 170256723 176315047 186471649 191905609 199358523 200439057 207571373 209582037 210717983 218345049 218901501 219528491 221654979 229542231 239749263 246735783 257707359 260948961 270234429 270923121 274330959 282250917 286529607 296725323 301223433 302729609 352711233 354622947 356396131 387287271 389223783 391333397 455943789 458223597 465169887 481722243 489024753 503142939 509471781 510770169 528945141 535598539 559414947 575716827 601317171 622714119 628746111 630547001 632153949 655035147 658585473 664964937 688626693 692359087 719247789 740207349 782846883 810703287 812769363 822992877 846752751 859588821 890175969 903670299 908188827 994683001 1063868841 1069188393 1124018567 1167671349 1171015859 1174000191 1188767489 1234205329 1285809733 1305301543 1374670791 1395509661 1445166729 1452999611 1467074259 1509428817 1528415343 1532310507 1536699437 1586835423 1606795617 1678244841 1727150481 1803951513 1868142357 1891641003 1896461847 1975756419 2065880079 2077077261 2087463053 2119107263 2292095611 2432109861 2468978631 2494772917 2670527907 2698427849 2711010897 2724566481 2739333779 2984049003 3191606523 3207565179 3372055701 3513047577 3522000573 3566302467 3693203863 3702615987 3749189773 3857429199 3915904629 4055246081 4335500187 4358998833 4401222777 4413829007 4585246029 4610098311 4760506269 4774141579 4820386851 4846513609 5034734523 5181451443 5604427071 5674923009 5689385541 5927269257 6231231783 6262389159 6357321789 6583537321 6876286833 6962781007 7484318751 7868129969 8095283547 8173699443 8197111013 8218001337 8510426293 8639437303 8952147009 9000668131 9622695537 10116167103 10170997277 10539142731 10566001719 10698907401 11079611589 11107847961 11247569319 11572287597 11747713887 12165738243 13076996499 13241487021 13830294933 14322424737 14461160553 14539540827 14612241371 16044669277 17024769027 18693695349 18787167477 18888994943 19071965367 19750611963 20628860499 20888343021 22452956253 23604389907 24285850641 24591333039 24654004011 25531278879 25852427041 25918311909 26856441027 27002004393 28386722567 30348501309 30512991831 31617428193 32096722203 33238834767 33323543883 33418991053 33742707957 34716862791 35243141661 36497214729 39230989497 39724461063 41490884799 42967274211 43618622481 43836724113 46084761247 48011650219 48134007831 48739467049 52718199053 56361502431 56666984829 57215896101 57379777091 59251835889 59572984051 61886581497 62063840527 62665029063 63004676917 67358868759 70813169721 72857551923 73773999117 73962012033 76593836637 77557281123 77754935727 81006013179 85160167701 85585985173 91538975493 99716504301 100256973159 101228123871 102285689597 109491644187 110635541809 112312684939 119173383189 128901822633 130855867443 131510172339 132222964601 138254283741 144034950657 144402023493 146218401147 151421358383 158154597159 170000954487 172139331273 177755507667 178718952153 180966989287 186191521581 187995087189 189014030751 195739804739 198707057969 212439509163 221321997351 229781509911 232671843369 233264807181 233932937371 243018039537 255480503103 256757955519 274616926479 300770919477 306857068791 322593328729 331906625427 336081551533 336938054817 348927478013 369027393371 394530517017 396668893803 414762851223 417010888357 432104851971 433206070479 434446883689 438655203441 454264075149 474463791477 510002863461 516417993819 536156856459 542900967861 558574564743 567042092253 587219414217 596121173907 599101896211 698015530107 701798812113 766441509309 770273866557 774448792663 902312758431 920571206373 967779986187 995719876281 1008244654599 1010814164451 1046782434039 1059949508681 1107082180113 1190006681409 1244288553669 1251032665071 1296314555913 1303340651067 1315965610323 1362792225447 1370178633173 1423391374431 1549253981457 1608470569377 1628702903583 1675723694229 1701126276759 1761658242651 1788363521721 1797305688633 1968477658979 2105396436339 2310821599671 2323346377989 2352570860731 2442492346091 2544617461607 2583191753597 2761713619119 2903339958561 2987159628843 3024733963797 3032442493353 3041128185823 3140347302117 3179848526043 3321246540339 3570020044227 3753097995213 3910021953201 4088376676341 4110535899519 4193713273477 4536057214169 4886108710749 5284974727953 5365090565163 5391917065899 5421141548641 5905432976937 6316189309017 6970039133967 7057712582193 7327477038273 7419646560767 7633852384821 7749575260791 8025331994299 8710019875683 9074201891391 9123384557469 9421041906351 9539545578129 9591250432211 9963739621017 11259293985639 11730065859603 12331607698557 12581139820431 13608171642507 13779343612853 16175751197697 16263424645923 17097446422637 17716298930811 17812322231249 20910117401901 21173137746579 21982431114819 22258939682301 22901557154463 23248725782373 24075995982897 27370153672407 28618636734387 28773751296633 31752400499183 36994823095671 37743419461293 40824514927521 41338030838559 48790273937769 51292339267911 53148896792433 53436966693747 56177323960093 63519413239737 65947293344457 66776819046903 68704671463389 69746177347119 72227987948691 82110461017221 86321253889899 95257201497549 96455405289971 104329315925887 113230258383879 122473544782563 124014092515677 124686255618743 146370821813307 153877017803733 160310900081241 168531971880279 200330457140709 216683963846073 222266803494281 258963761669697 285771604492647 289366215869913 312987947777661 372042277547031 374058766856229 393241267720651 461631053411199 480932700243723 505595915640837 666800410482843 730305211481209 857314813477941 868098647609739 938963843332983 1122176300568687 1179723803161953 1516787746922511 2000401231448529 2190915634443627 2604295942829217 2816891529998949 3366528901706061 3539171409485859 5112136480368463 6001203694345587 6572746903330881 10617514228457577 15336409441105389 19718240709992643 46009228323316167 138027684969948501
- Sum of all divisors σ(n): 279295704856546560
- Sum of proper divisors (its aliquot sum) s(n): 141268019886598059
- 138027684969948501 is an abundant number, because the sum of its proper divisors (141268019886598059) is greater than itself. Its abundance is 3240334916649558
Bases of 138027684969948501
- Binary: 1111010100101111101110010101110111100110110100101010101012
- Hexadecimal: 0x1EA5F72BBCDA555
- Base-36: 11R2QB3PW1N9
Squares and roots of 138027684969948501
- 138027684969948501 squared (1380276849699485012) is 19051641818163347325403462592147001
- 138027684969948501 cubed (1380276849699485013) is 2629654015037747388129487618592134897038241991595501
-
The
square root of 138027684969948501 is 371520773.2683981441 -
The
cube root of 138027684969948501 is 516799.4799823071
Scales and comparisons
How big is 138027684969948501?- 138,027,684,969,948,501 seconds is equal to 4,388,853,434 years, 19 weeks, 6 days, 3 hours, 28 minutes, 21 seconds.
-
To count from 1 to 138,027,684,969,948,501 would take you about thirteen billion, one hundred sixty-six million, five hundred sixty thousand, three hundred three 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 138027684969948501 cubic inches would be around 43066.6 feet tall.
Recreational maths with 138027684969948501
- 138027684969948501 backwards is 105849969486720831
- The number of decimal digits it has is: 18
- The sum of 138027684969948501's digits is 90
- More coming soon!
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The information we have on file for 138027684969948501 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 138027684969948501, math, Factors of 138027684969948501, curriculum, school, college, exams, university, Prime factorization of 138027684969948501, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, twenty-seven trillion, six hundred eighty-four billion, nine hundred sixty-nine million, nine hundred forty-eight thousand, five hundred one.