138126259305225216
138,126,259,305,225,216 is an even composite number composed of six prime numbers multiplied together.
138126259305225216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred thirty-six divisors.
Prime factorization of 138126259305225216:
210 × 310 × 23 × 89 × 1021 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 23 × 89 × 1021 × 1093)See below for interesting mathematical facts about the number 138126259305225216 from the Numbermatics database.
Names of 138126259305225216
- Cardinal: 138126259305225216 can be written as One hundred thirty-eight quadrillion, one hundred twenty-six trillion, two hundred fifty-nine billion, three hundred five million, two hundred twenty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.38126259305225216 × 1017
Factors of 138126259305225216
Divisors of 138126259305225216
- Number of divisors d(n): 1936
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 89 92 96 108 128 138 144 162 178 184 192 207 216 243 256 267 276 288 324 356 368 384 414 432 486 512 534 552 576 621 648 712 729 736 768 801 828 864 972 1021 1024 1068 1093 1104 1152 1242 1296 1424 1458 1472 1536 1602 1656 1728 1863 1944 2042 2047 2136 2186 2187 2208 2304 2403 2484 2592 2848 2916 2944 3063 3072 3204 3279 3312 3456 3726 3888 4084 4094 4272 4372 4374 4416 4608 4806 4968 5184 5589 5696 5832 5888 6126 6141 6408 6558 6561 6624 6912 7209 7452 7776 8168 8188 8544 8744 8748 8832 9189 9216 9612 9837 9936 10368 11178 11392 11664 11776 12252 12282 12816 13116 13122 13248 13824 14418 14904 15552 16336 16376 16767 17088 17488 17496 17664 18378 18423 19224 19674 19683 19872 20736 21627 22356 22784 23328 23483 23552 24504 24564 25139 25632 26232 26244 26496 27567 27648 28836 29511 29808 31104 32672 32752 33534 34176 34976 34992 35328 36756 36846 38448 39348 39366 39744 41472 43254 44712 45568 46656 46966 49008 49128 50278 50301 51264 52464 52488 52992 55134 55269 57672 59022 59049 59616 62208 64881 65344 65504 67068 68352 69952 69984 70449 70656 73512 73692 75417 76896 78696 78732 79488 82701 82944 86508 88533 89424 90869 91136 93312 93932 97277 98016 98256 100556 100602 102528 104928 104976 105984 110268 110538 115344 118044 118098 119232 124416 129762 130688 131008 134136 136704 139904 139968 140898 147024 147384 150834 150903 153792 157392 157464 158976 165402 165807 173016 177066 178848 181738 186624 187864 194554 194643 196032 196512 201112 201204 205056 209856 209952 211347 211968 220536 221076 226251 230688 236088 236196 238464 248103 248832 259524 261376 262016 265599 268272 272607 273408 279808 279936 281796 291831 294048 294768 301668 301806 307584 314784 314928 317952 330804 331614 346032 354132 357696 363476 373248 375728 389108 389286 392064 393024 402224 402408 410112 419712 419904 422694 441072 442152 452502 452709 461376 472176 472392 476928 496206 497421 519048 522752 524032 531198 536544 545214 559616 559872 563592 583662 583929 588096 589536 603336 603612 615168 629568 629856 634041 635904 661608 663228 678753 692064 708264 715392 726952 744309 746496 751456 778216 778572 784128 786048 796797 804448 804816 817821 820224 839424 839808 845388 875493 882144 884304 905004 905418 922752 944352 944784 953856 992412 994842 1038096 1045504 1048064 1062396 1073088 1090428 1115953 1119232 1119744 1127184 1167324 1167858 1176192 1179072 1206672 1207224 1230336 1259136 1259712 1268082 1323216 1326456 1357506 1358127 1384128 1416528 1430784 1453904 1488618 1492263 1502912 1556432 1557144 1568256 1572096 1593594 1608896 1609632 1635642 1678848 1679616 1690776 1750986 1751787 1764288 1768608 1810008 1810836 1845504 1888704 1889568 1902123 1907712 1984824 1989684 2036259 2076192 2089987 2096128 2124792 2146176 2180856 2231906 2232927 2237371 2239488 2254368 2334648 2335716 2352384 2358144 2390391 2413344 2414448 2453463 2460672 2518272 2519424 2536164 2626479 2646432 2652912 2715012 2716254 2768256 2833056 2861568 2907808 2977236 2984526 3005824 3112864 3114288 3136512 3144192 3187188 3217792 3219264 3271284 3347859 3357696 3359232 3381552 3501972 3503574 3528576 3537216 3620016 3621672 3691008 3777408 3779136 3804246 3969648 3979368 4072518 4152384 4179974 4249584 4292352 4361712 4463812 4465854 4474742 4476789 4508736 4669296 4671432 4704768 4716288 4780782 4826688 4828896 4906926 5036544 5038848 5072328 5252958 5255361 5292864 5305824 5430024 5432508 5536512 5666112 5706369 5723136 5815616 5954472 5969052 6011648 6108777 6225728 6228576 6269961 6288384 6374376 6435584 6438528 6542568 6695718 6698781 6712113 6718464 6763104 7003944 7007148 7057152 7074432 7171173 7240032 7243344 7360389 7382016 7554816 7558272 7608492 7879437 7939296 7958736 8145036 8304768 8359948 8499168 8584704 8723424 8927624 8931708 8949484 8953578 9017472 9338592 9342864 9409536 9432576 9561564 9653376 9657792 9813852 10043577 10073088 10077696 10144656 10505916 10510722 10585728 10611648 10860048 10865016 11073024 11332224 11412738 11631232 11908944 11938104 12023296 12217554 12451456 12457152 12539922 12748752 12871168 12877056 13085136 13391436 13397562 13424226 13430367 13526208 14007888 14014296 14114304 14148864 14342346 14480064 14486688 14720778 15109632 15116544 15216984 15758874 15878592 15917472 16290072 16609536 16719896 16998336 17119107 17169408 17446848 17855248 17863416 17898968 17907156 18034944 18326331 18677184 18685728 18809883 18865152 19123128 19306752 19315584 19627704 20087154 20096343 20136339 20155392 20289312 21011832 21021444 21171456 21223296 21513519 21720096 21730032 22081167 22146048 22664448 22825476 23262464 23638311 23817888 23876208 24046592 24435108 24902912 24914304 25079844 25497504 25666919 25742336 25754112 26170272 26782872 26795124 26848452 26860734 27052416 28015776 28028592 28228608 28297728 28684692 28960128 28973376 29441556 30130731 30219264 30233088 30433968 31517748 31757184 31834944 32580144 33219072 33439792 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24205630464 24377608368 24948245268 25425873152 25437504384 26032951584 26096695344 26282925056 26294948352 27231334272 27412269492 27424809414 28149244416 28604107296 28617192432 28891980288 29287070532 29358782262 29568290688 29581816896 30635251056 30853868544 30867982848 30929416704 30943565568 31667899968 32179620708 32503477824 33044765184 33264327024 33916672512 34710602112 34795593792 36308445696 36549692656 36566412552 37422367902 38138809728 38156256576 39049427376 39145043016 39424387584 39442422528 40847001408 41118404238 41137214121 41258087424 42223866624 42906160944 42925788648 43337970432 43930605798 44038173393 44352436032 44372725344 45952876584 46280802816 46394125056 47501849952 48269431062 48755216736 49896490536 50851746304 50875008768 52065903168 52193390688 52589896704 54462668544 54824538984 54849618828 56133551853 56298488832 57208214592 57234384864 57783960576 58574141064 58717564524 59136581376 59163633792 61270502112 61677606357 61735965696 61858833408 61887131136 63335799936 64359241416 65006955648 65895908697 66089530368 66528654048 67833345024 69421204224 69591187584 72404146593 72616891392 73099385312 73132825104 74844735804 76277619456 76312513152 78098854752 78290086032 78848775168 78884845056 81694002816 82236808476 82274428242 84447733248 85812321888 85851577296 86675940864 87861211596 88076346786 88704872064 88745450688 91905753168 92561605632 92788250112 95003699904 96538862124 97510433472 99792981072 101703492608 101750017536 104131806336 104386781376 108925337088 109649077968 109699237656 112267103706 114416429184 114468769728 117148282128 117435129048 118273162752 118327267584 122541004224 123355212714 123411642363 123774262272 126671599872 128718482832 130013911296 131791817394 132114520179 133057308096 138842408448 139182375168 144808293186 146198770624 146265650208 149689471608 152555238912 152625026304 156197709504 156580172064 157769690112 163388005632 164473616952 164548856484 168400655559 168895466496 171624643776 171703154592 173351881728 175722423192 176152693572 177409744128 177490901376 183811506336 185032819071 185576500224 190007399808 193077724248 195020866944 199585962144 203500035072 208263612672 208773562752 217212439779 217850674176 219298155936 219398475312 224534207412 228832858368 228937539456 234296564256 234870258096 236546325504 236654535168 245082008448 246710425428 246823284726 253343199744 257436965664 260027822592 263583634788 264229040358 266114616192 277684816896 278364750336 289616586372 292397541248 292531300416 299378943216 305110477824 305250052608 312395419008 313160344128 326776011264 328947233904 329097712968 336801311118 343249287552 343406309184 351444846384 352305387144 354819488256 354981802752 367623012672 370065638142 380014799616 386155448496 390041733888 399171924288 416527225344 417547125504 434424879558 438596311872 438796950624 449068414824 457665716736 457875078912 468593128512 469740516192 473309070336 490164016896 493420850856 493646569452 505201966677 506686399488 514873931328 520055645184 527167269576 528458080716 532229232384 555098457213 556729500672 579233172744 584795082496 585062600832 598757886432 610500105216 624790838016 626320688256 651637319337 653552022528 657894467808 658195425936 673602622236 686498575104 686812618368 702889692768 704610774288 709638976512 709963605504 735246025344 740131276284 760029599232 772310896992 780083467776 798343848576 833054450688 835094251008 868849759116 877192623744 877593901248 898136829648 915331433472 915750157824 937186257024 939481032384 980328033792 986841701712 987293138904 1010403933354 1029747862656 1054334539152 1056916161432 1064458464768 1110196914426 1158466345488 1169590164992 1170125201664 1197515772864 1249581676032 1252641376512 1303274638674 1315788935616 1316390851872 1347205244472 1372997150208 1373625236736 1405779385536 1409221548576 1419927211008 1470492050688 1480262552568 1515605900031 1520059198464 1544621793984 1560166935552 1596687697152 1665295371639 1670188502016 1737699518232 1754385247488 1755187802496 1796273659296 1831500315648 1874372514048 1878962064768 1954911958011 1960656067584 1973683403424 1974586277808 2020807866708 2059495725312 2108669078304 2113832322864 2128916929536 2220393828852 2316932690976 2339180329984 2340250403328 2395031545728 2499163352064 2505282753024 2606549277348 2631577871232 2632781703744 2694410488944 2745994300416 2747250473472 2811558771072 2818443097152 2940984101376 2960525105136 3031211800062 3089243587968 3193375394304 3330590743278 3475399036464 3508770494976 3510375604992 3592547318592 3748745028096 3757924129536 3909823916022 3947366806848 3949172555616 4041615733416 4118991450624 4217338156608 4227664645728 4440787657704 4633865381952 4680500806656 4790063091456 4995886114917 5010565506048 5213098554696 5263155742464 5265563407488 5388820977888 5494500946944 5623117542144 5636886194304 5864735874033 5881968202752 5921050210272 6062423600124 6178487175936 6386750788608 6661181486556 6950798072928 7017540989952 7020751209984 7185094637184 7497490056192 7515848259072 7819647832044 7894733613696 7898345111232 8083231466832 8237982901248 8434676313216 8455329291456 8881575315408 9267730763904 9580126182912 9991772229834 10426197109392 10526311484928 10531126814976 10777641955776 11246235084288 11273772388608 11729471748066 11842100420544 12124847200248 12356974351872 13322362973112 13901596145856 14041502419968 14370189274368 14987658344751 15031696518144 15639295664088 15789467227392 15796690222464 16166462933664 16869352626432 16910658582912 17763150630816 18535461527808 19160252365824 19983544459668 20852394218784 21052622969856 21062253629952 21555283911552 22492470168576 22547544777216 23458943496132 23684200841088 24249694400496 24713948703744 26644725946224 27803192291712 28740378548736 29975316689502 31278591328176 31578934454784 31593380444928 32332925867328 33738705252864 33821317165824 35526301261632 37070923055616 39967088919336 41704788437568 42124507259904 43110567823104 44962975034253 45095089554432 46917886992264 47368401682176 48499388800992 53289451892448 55606384583424 57480757097472 59950633379004 62557182656352 63157868909568 63186760889856 64665851734656 67477410505728 67642634331648 71052602523264 74141846111232 79934177838672 83409576875136 86221135646208 89925950068506 93835773984528 94736803364352 96998777601984 106578903784896 111212769166848 119901266758008 125114365312704 126373521779712 129331703469312 134888925102759 135285268663296 142105205046528 159868355677344 166819153750272 172442271292416 179851900137012 187671547969056 189473606728704 193997555203968 213157807569792 222425538333696 239802533516016 250228730625408 258663406938624 269777850205518 284210410093056 319736711354688 333638307500544 359703800274024 375343095938112 387995110407936 426315615139584 479605067032032 500457461250816 517326813877248 539555700411036 568420820186112 639473422709376 667276615001088 719407600548048 750686191876224 775990220815872 852631230279168 959210134064064 1000914922501632 1079111400822072 1278946845418752 1438815201096096 1501372383752448 1551980441631744 1705262460558336 1918420268128128 2001829845003264 2158222801644144 2557893690837504 2877630402192192 3002744767504896 3836840536256256 4316445603288288 5115787381675008 5755260804384384 6005489535009792 7673681072512512 8632891206576576 11510521608768768 15347362145025024 17265782413153152 23021043217537536 34531564826306304 46042086435075072 69063129652612608 138126259305225216
- Sum of all divisors σ(n): 437865941949065280
- Sum of proper divisors (its aliquot sum) s(n): 299739682643840064
- 138126259305225216 is an abundant number, because the sum of its proper divisors (299739682643840064) is greater than itself. Its abundance is 161613423338614848
Bases of 138126259305225216
- Binary: 1111010101011100100011001110111000000101010011100000000002
- Hexadecimal: 0x1EAB919DC0A9C00
- Base-36: 11S1O7J00000
Squares and roots of 138126259305225216
- 138126259305225216 squared (1381262593052252162) is 19078863509654315570256320482246656
- 138126259305225216 cubed (1381262593052252163) is 2635292048383511228693713774581455103098863742877696
-
The
square root of 138126259305225216 is 371653412.8798297689 -
The
cube root of 138126259305225216 is 516922.4771495811
Scales and comparisons
How big is 138126259305225216?- 138,126,259,305,225,216 seconds is equal to 4,391,987,793 years, 17 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,126,259,305,225,216 would take you about thirteen billion, one hundred seventy-five million, nine hundred sixty-three thousand, three hundred eighty 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 138126259305225216 cubic inches would be around 43076.9 feet tall.
Recreational maths with 138126259305225216
- 138126259305225216 backwards is 612522503952621831
- The number of decimal digits it has is: 18
- The sum of 138126259305225216's digits is 63
- More coming soon!
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The information we have on file for 138126259305225216 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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