138338155339163325
138,338,155,339,163,325 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138338155339163325 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1404 divisors.
138338155339163325 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 138338155339163325:
312 × 52 × 72 × 133 × 3112
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 311 × 311)See below for interesting mathematical facts about the number 138338155339163325 from the Numbermatics database.
Names of 138338155339163325
- Cardinal: 138338155339163325 can be written as One hundred thirty-eight quadrillion, three hundred thirty-eight trillion, one hundred fifty-five billion, three hundred thirty-nine million, one hundred sixty-three thousand, three hundred twenty-five.
Scientific notation
- Scientific notation: 1.38338155339163325 × 1017
Factors of 138338155339163325
Divisors of 138338155339163325
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 81 91 105 117 135 147 169 175 189 195 225 243 245 273 311 315 325 351 405 441 455 507 525 567 585 637 675 729 735 819 845 933 945 975 1053 1183 1215 1225 1323 1365 1521 1555 1575 1701 1755 1911 2025 2177 2187 2197 2205 2275 2457 2535 2799 2835 2925 3159 3185 3549 3645 3675 3969 4043 4095 4225 4563 4665 4725 5103 5265 5733 5915 6075 6531 6561 6591 6615 6825 7371 7605 7775 8281 8397 8505 8775 9477 9555 10647 10885 10935 10985 11025 11907 12129 12285 12675 13689 13995 14175 15239 15309 15379 15795 15925 17199 17745 18225 19593 19683 19773 19845 20215 20475 22113 22815 23325 24843 25191 25515 26325 28301 28431 28665 29575 31941 32655 32805 32955 33075 35721 36387 36855 38025 41067 41405 41985 42525 45717 45927 46137 47385 47775 51597 52559 53235 54425 54675 54925 58779 59049 59319 59535 60645 61425 66339 68445 69975 74529 75573 76195 76545 76895 78975 84903 85293 85995 88725 95823 96721 97965 98415 98865 99225 101075 107163 107653 109161 110565 114075 123201 124215 125955 127575 137151 137781 138411 141505 142155 143325 154791 157677 159705 163275 164025 164775 176337 177147 177957 178605 181935 184275 198107 199017 205335 207025 209925 223587 226719 228585 229635 230685 236925 254709 255879 257985 262795 266175 287469 290163 293895 295245 296595 297675 303225 321489 322959 327483 331695 342225 367913 369603 372645 377865 380975 382725 384475 411453 413343 415233 424515 426465 429975 464373 473031 479115 483605 489825 492075 494325 529011 531441 533871 535815 538265 545805 552825 594321 597051 616005 621075 629775 670761 677047 680157 683267 685755 688905 692055 707525 710775 764127 767637 773955 788385 798525 862407 870489 881685 885735 889785 893025 909675 964467 968877 982449 990535 995085 1026675 1103739 1108809 1117935 1133595 1142925 1148175 1153425 1234359 1240029 1245699 1257373 1273545 1279395 1289925 1313975 1393119 1419093 1437345 1450815 1469475 1476225 1482975 1587033 1601613 1607445 1614795 1637415 1658475 1782963 1791153 1839565 1848015 1863225 1889325 2012283 2031141 2040471 2049801 2057265 2066715 2076165 2122575 2132325 2292381 2302911 2321865 2365155 2395575 2418025 2575391 2587221 2611467 2645055 2657205 2669355 2679075 2691325 2729025 2893401 2906631 2947347 2971605 2985255 3080025 3311217 3326427 3353805 3385235 3400785 3416335 3428775 3444525 3460275 3703077 3720087 3737097 3772119 3820635 3838185 3869775 3941925 4179357 4257279 4312035 4352445 4408425 4428675 4448925 4739329 4761099 4782869 4804839 4822335 4844385 4912245 4952675 4975425 5348889 5373459 5518695 5544045 5589675 5667975 6036849 6093423 6121413 6149403 6171795 6200145 6228495 6286865 6367725 6396975 6877143 6908733 6965595 7095465 7186725 7254075 7726173 7761663 7834401 7935165 8008065 8037225 8073975 8187075 8680203 8719893 8801611 8842041 8914815 8955765 9197825 9240075 9933651 9979281 10061415 10155705 10202355 10249005 10286325 10333575 10380825 11109231 11211291 11316357 11461905 11514555 11609325 11825775 12538071 12771837 12876955 12936105 13057335 13225275 13286025 13346775 14217987 14283297 14348607 14414517 14467005 14533155 14736735 14858025 14926275 16046667 16120377 16345849 16556085 16632135 16769025 16926175 17003925 17081675 18110547 18280269 18364239 18448209 18515385 18600435 18685485 18860595 19103175 19190925 20631429 20896785 21286395 21560175 21762225 23178519 23284989 23503203 23696645 23805495 23914345 24024195 24111675 24221925 24561225 26040609 26159679 26404833 26526123 26744445 26867295 27593475 27720225 29800953 29937843 30184245 30467115 30607065 30747015 30858975 31000725 31142475 31434325 33327693 33480083 33633873 33949071 34385715 34543665 34827975 35477325 37614213 38315511 38630865 38808315 39172005 39675825 40040325 42653961 42849891 43045821 43243551 43401015 43599465 44008055 44210205 44574075 44778825 48140001 48361131 49037547 49668255 49896405 50307075 50778525 51011775 51245025 54331641 54840807 55092717 55344627 55546155 56056455 56581785 57309525 57572775 61611277 61894287 62690355 63859185 64384775 64680525 65286675 69535557 69854967 70509609 71089935 71416485 71743035 72072585 72335025 72665775 73683675 78479037 79214499 79578369 80233335 80601885 81729245 82780425 83160675 89402859 89813529 90552735 91401345 91821195 92241045 92576925 93002175 93427425 94302975 99983079 100440249 100901619 101847213 103157145 104483925 106431975 112842639 114420943 114946533 115892595 116424945 117516015 118483225 119027475 119571725 120120975 127961883 128549673 129137463 129730653 130203045 130798395 132024165 132630615 133722225 134336475 144420003 147112641 149004765 149689215 150921225 152335575 153035325 153735075 162994923 164522421 165278151 166033881 166638465 167400415 168169365 169745355 171928575 172718325 184833831 185682861 188071065 191577555 193154325 194041575 195860025 208606671 209564901 211528827 212496037 213269805 214249455 215229105 216217755 217005075 217997325 220040275 221051025 235437111 237643497 238735107 240700005 241805655 245187735 248341275 249482025 268208577 271658205 274204035 275463585 276723135 277730775 280282275 282908925 299949237 301320747 302704857 305541639 308056385 309471435 313451775 319295925 338527917 343262829 344839599 347677785 349274835 352548045 355449675 357082425 358715175 360362925 383885649 385649019 387412389 389191959 392395185 396072495 397891845 401166675 403009425 408646225 433260009 441337923 447014295 449067645 452763675 457006725 459105975 461205225 488984769 493567263 498101643 499915395 502201245 504508095 509236065 515785725 554501493 557048583 564213195 572104715 574732665 579462975 582124725 587580075 625820013 628694703 634586481 637488111 639809415 642748365 645687315 648653265 651015225 653991975 660120825 663153075 706311333 712930491 716205321 722100015 735563205 745023825 748446075 800946601 804625731 814974615 822612105 826390755 830169405 833192325 837002075 840846825 848726775 899847711 903962241 908114571 916624917 924169155 928414305 940355325 957887775 1029788487 1034518797 1043033355 1047824505 1057644135 1062480185 1066349025 1071247275 1076145525 1081088775 1151656947 1156947057 1162237167 1167575877 1177185555 1188217485 1193675535 1203500025 1209028275 1225938675 1299780027 1324013769 1341042885 1358291025 1371020175 1377317925 1383615675 1466954307 1480701789 1487472259 1494304929 1499746185 1506603735 1513524285 1527708195 1540281925 1547357175 1663504479 1671145749 1692639585 1716314145 1724197995 1738388925 1746374175 1762740225 1877460039 1903759443 1912464333 1919428245 1928245095 1937061945 1945959795 1961975925 1980362475 1989459225 2118933999 2138791473 2148615963 2166300045 2206689615 2235071475 2245338225 2402839803 2413877193 2444923845 2467836315 2490508215 2499576975 2511006225 2522540475 2546180325 2699543133 2711886723 2724343713 2749874751 2772507465 2785242915 2821065975 2860523575 2873663325 3089365461 3103556391 3129100065 3143473515 3172932405 3187440555 3199047075 3213741825 3228436575 3243266325 3454970841 3486711501 3531556665 3564652455 3581026605 3610500075 3677816025 3899340081 3972041307 4004733005 4023128655 4074873075 4113060525 4131953775 4150847025 4400862921 4442105367 4462416777 4482914787 4499238555 4519811205 4540572855 4583124585 4620845775 4642071525 4990513437 5013437247 5148942435 5172593985 5215166775 5239122525 5288220675 5312400925 5632380117 5711278329 5737392999 5758284735 5784735285 5811185835 5837879385 5885927775 5941087425 5968377675 6356801997 6416374419 6498900135 6620068845 6705214425 7208519409 7241631579 7334771535 7403508945 7437361295 7471524645 7498730925 7533018675 7567621425 7638540975 8098629399 8135660169 8173031139 8249624253 8317522395 8355728745 8463197925 8581570725 8620989975 9268096383 9310669173 9387300195 9518797215 9562321665 9597141225 9641225475 9685309725 9729798975 10364912523 10412305813 10460134503 10594669995 10693957365 10743079815 10831500225 11033448075 11698020243 11916123921 12014199015 12069385965 12224619225 12339181575 12452541075 13326316101 13387250331 13448744361 13497715665 13559433615 13621718565 13749373755 13862537325 13926214575 14971540311 15040311741 15446827305 15517781955 15645500325 15717367575 15864662025 15937202775 16897140351 17133834987 17212178997 17274854205 17433557505 17657783325 17823262275 17905133025 19070405991 19249123257 19496700405 19860206535 20023665025 20115643275 21625558227 21724894737 22004314605 22210526835 22312083885 22414573935 22496192775 22599056025 22702864275 22915622925 24406980507 24748872759 24952567185 25067186235 25744712175 25862969925 27804289149 27932007519 28161900585 28556391645 28686964995 28791423675 28923676425 29055929175 29189396925 31094737569 31236917439 31380403509 31784009985 32081872095 32494500675 33100344225 35094060729 35748371763 36042597045 36208157895 36673857675 37017544725 37186806475 37357623225 39978948303 40161750993 40346233083 40493146995 40678300845 40865155695 41248121265 41587611975 41778643725 44914620933 46340481915 46553345865 46936500975 47593986075 47811608325 50691421053 51401504961 51636536991 51824562615 52061529065 52300672515 52973349975 53469786825 53715399075 57211217973 57747369771 58490101215 59580619605 60070995075 60346929825 64876674681 65174684211 66631580505 66936251655 67243721805 67488578325 67797168075 68108592825 68746868775 73220941521 74246618277 74857701555 75201558705 77234136525 77588909775 83412867447 84485701755 85669174935 86060894985 86374271025 87167787525 93284212707 93710752317 94141210527 95352029955 96245616285 97483502025 99301032675 105282182187 107245115289 108127791135 108624473685 110021573025 111052634175 111560419425 112072869675 119936844909 120485252979 121038699249 122034902535 123744363795 124762835925 125335931175 134743862799 139021445745 139660037595 140809502925 142781958225 143434824975 152074263159 154909610973 155473687845 156184587195 156902017545 158920049925 160409360475 173242109313 175470303645 178741858815 180212985225 181040789475 194630024043 195524052633 199894741515 200808754965 201731165415 202465734975 203391504225 204325778475 206240606325 219662824563 222739854831 224573104665 231702409575 232766729325 250238602341 253457105265 257007524805 258182684955 259122813075 260307645325 261503362575 279852638121 281132256951 282423631581 286056089865 288736848855 292450506075 297903098025 321735345867 324383373405 325873421055 333157902525 334681258275 336218609025 359810534727 361455758937 363116097747 366104707605 371233091385 374288507775 376007793525 404231588397 417064337235 422428508775 428345874675 430304474925 456222789477 464728832919 466421063535 468553761585 470706052635 476760149775 481228081425 519726327939 526410910935 536225576445 540638955675 543122368425 583890072129 599684224545 602426264895 605193496245 610174512675 618721818975 658988473689 668219564493 673719313995 695107228725 698300187975 750715807023 760371315795 774548054865 777368439225 780922935975 784510087725 839557914363 843396770853 847270894743 866210546565 877351518225 893709294075 965206037601 973150120215 977620263165 999473707575 1004043774825 1008655827075 1084367276811 1098314122815 1113699274155 1122865523325 1212694765191 1251193011705 1267285526325 1285037624025 1290913424775 1368668368431 1394186498757 1399263190605 1405661284755 1412118157905 1430280449325 1443684244275 1559178983817 1608676729335 1621916867025 1629367105275 1751670216387 1799052673635 1807278794685 1815580488735 1830523538025 1856165456925 1976965421067 2021157941985 2085321686175 2252147421069 2281113947385 2323644164595 2332105317675 2342768807925 2353530263175 2518673743089 2530190312559 2541812684229 2598631639695 2632054554675 2681127882225 2895618112803 2919450360645 2998421122725 3012131324475 3025967481225 3253101830433 3294942368445 3341097822465 3368596569975 3638084295573 3753579035115 3801856578975 3872740274325 4182559496271 4197789571815 4216983854265 4236354473715 4331052732825 4677536951451 4826030188005 4865750601075 4888101315825 5255010649161 5421836384055 5491570614075 5568496370775 5930896263201 6063473825955 6255965058525 6756442263207 6843341842155 6970932493785 6996315953025 7028306423775 7060590789525 7590570937677 7795894919085 8043383646675 8686854338409 8758351081935 8995263368175 9036393973425 9077902443675 9759305491299 9884827105335 10105789709925 10914252886719 11260737105345 11405569736925 11618220822975 12547678488813 12593368715445 12650951562795 12709063421145 12993158198475 14478090564015 14597251803225 15765031947483 16265509152165 16474711842225 16705489112325 17792688789603 18190421477865 18767895175575 20269326789621 20912797481355 20988947859075 21084919271325 21181772368575 22771712813031 23387684757255 24130150940025 26275053245805 27109181920275 29277916473897 29654481316005 30317369129775 32742758660157 33782211316035 34216709210775 34854662468925 37643035466439 37952854688385 38979474595425 43434271692045 43791755409675 47295095842449 48796527456495 49424135526675 54571264433595 56303685526725 60807980368863 62738392444065 62966843577225 63254757813975 63545317105725 68315138439093 72390452820075 78825159737415 81327545760825 87833749421691 88963443948015 90952107389325 101346633948105 104563987406775 112929106399317 113858564065155 116938423786275 131375266229025 141885287527347 146389582369485 148272406580025 163713793300785 168911056580175 188215177332195 189764273441925 204945415317279 217171358460225 236475479212245 243982637282475 263501248265073 272856322167975 304039901844315 313691962220325 341575692195465 394125798687075 425655862582041 439168747108455 444817219740075 506733169740525 564645531996585 569292820325775 614836245951837 709426437636735 731947911847425 790503744795219 818568966503925 941075886660975 1024727076586395 1182377396061225 1317506241325365 1520199509221575 1707878460977325 1844508737855511 2128279312910205 2195843735542275 2823227659982925 3074181229759185 3547132188183675 3952518723976095 5123635382931975 5533526213566533 6587531206626825 9222543689277555 10641396564551025 15370906148795925 19762593619880475 27667631067832665 46112718446387775 138338155339163325
- Sum of all divisors σ(n): 325296213955888980
- Sum of proper divisors (its aliquot sum) s(n): 186958058616725655
- 138338155339163325 is an abundant number, because the sum of its proper divisors (186958058616725655) is greater than itself. Its abundance is 48619903277562330
Bases of 138338155339163325
- Binary: 1111010110111100111010001101111111101111110100110101111012
- Hexadecimal: 0x1EB79D1BFDFA6BD
- Base-36: 11U4S77ZM2T9
Squares and roots of 138338155339163325
- 138338155339163325 squared (1383381553391633252) is 19137445222642482363362511025055625
- 138338155339163325 cubed (1383381553391633253) is 2647438870004644788484398975985241354478899084953125
-
The
square root of 138338155339163325 is 371938375.7279736857 -
The
cube root of 138338155339163325 is 517186.6747032503
Scales and comparisons
How big is 138338155339163325?- 138,338,155,339,163,325 seconds is equal to 4,398,725,431 years, 40 weeks, 2 days, 5 hours, 48 minutes, 45 seconds.
-
To count from 1 to 138,338,155,339,163,325 would take you about thirteen billion, one hundred ninety-six million, one hundred seventy-six thousand, two hundred ninety-five 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 138338155339163325 cubic inches would be around 43098.9 feet tall.
Recreational maths with 138338155339163325
- 138338155339163325 backwards is 523361933551833831
- The number of decimal digits it has is: 18
- The sum of 138338155339163325's digits is 72
- More coming soon!
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"Number 138338155339163325 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138338155339163325 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138338155339163325/
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The information we have on file for 138338155339163325 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!
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