138763993020520500
138,763,993,020,520,500 is an even composite number composed of six prime numbers multiplied together.
138763993020520500 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138763993020520500:
22 × 32 × 53 × 173 × 1513 × 1823
(2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 17 × 151 × 151 × 151 × 1823)See below for interesting mathematical facts about the number 138763993020520500 from the Numbermatics database.
Names of 138763993020520500
- Cardinal: 138763993020520500 can be written as One hundred thirty-eight quadrillion, seven hundred sixty-three trillion, nine hundred ninety-three billion, twenty million, five hundred twenty thousand, five hundred.
Scientific notation
- Scientific notation: 1.387639930205205 × 1017
Factors of 138763993020520500
Divisors of 138763993020520500
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 125 150 151 153 170 180 204 225 250 255 289 300 302 306 340 375 425 450 453 500 510 578 604 612 750 755 765 850 867 900 906 1020 1125 1156 1275 1359 1445 1500 1510 1530 1700 1734 1812 1823 2125 2250 2265 2550 2567 2601 2718 2890 3020 3060 3468 3646 3775 3825 4250 4335 4500 4530 4913 5100 5134 5202 5436 5469 5780 6375 6795 7225 7292 7550 7650 7701 8500 8670 9060 9115 9826 10268 10404 10938 11325 12750 12835 13005 13590 14450 14739 15100 15300 15402 16407 17340 18230 18875 19125 19652 21675 21876 22650 22801 23103 24565 25500 25670 26010 27180 27345 28900 29478 30804 30991 32814 33975 36125 36460 37750 38250 38505 43350 43639 44217 45300 45575 45602 46206 49130 51340 52020 54690 56625 58956 61982 64175 65025 65628 67950 68403 72250 73695 75500 76500 77010 82035 86700 87278 88434 91150 91204 92412 92973 98260 108375 109380 113250 114005 115515 122825 123964 128350 130050 130917 135900 136725 136806 144500 147390 154020 154955 164070 169875 174556 176868 182300 185946 192525 205209 216750 218195 221085 226500 227875 228010 231030 245650 256700 260100 261834 273450 273612 275273 278919 294780 309910 320875 325125 328140 339750 342015 368475 371892 385050 387617 392751 410175 410418 433500 436390 442170 455750 456020 462060 464865 491300 523668 526847 546900 550546 557838 570025 577575 614125 619820 641750 650250 654585 679500 683625 684030 736950 741863 770100 774775 775234 785502 820350 820836 825819 872780 884340 911500 929730 962625 1026045 1053694 1090975 1101092 1105425 1115676 1140050 1155150 1162851 1228250 1283500 1300500 1309170 1367250 1368060 1376365 1394595 1473900 1483726 1549550 1550468 1571004 1580541 1640700 1651638 1710075 1842375 1859460 1925250 1938085 1963755 2050875 2052090 2107388 2181950 2210850 2225589 2280100 2310300 2324325 2325702 2456500 2477457 2618340 2634235 2734500 2752730 2789190 2850125 2887875 2967452 3099100 3161082 3272925 3303276 3420150 3442951 3488553 3684750 3709315 3850500 3873875 3876170 3927510 4101750 4104180 4129095 4363900 4421700 4451178 4648650 4651404 4679641 4741623 4954914 5130225 5268470 5454875 5505460 5527125 5578380 5700250 5775750 5814255 6322164 6545850 6589489 6676767 6840300 6881825 6885902 6972975 6977106 7369500 7418630 7747750 7752340 7855020 7902705 8203500 8258190 8550375 8902356 8956399 9297300 9359282 9483246 9690425 9818775 9909828 10260450 10328853 10536940 10909750 11054250 11127945 11400500 11551500 11621625 11628510 12387285 13091700 13171175 13178978 13353534 13763650 13771804 13945950 13954212 14038923 14837260 15495500 15805410 16364625 16516380 17100750 17214755 17442765 17912798 18546575 18718564 18966492 19380850 19637550 19768467 20520900 20645475 20657706 21819500 22108500 22255890 23243250 23257020 23398205 23708115 24774570 25651125 26342350 26357956 26707068 26869197 27527300 27891900 28077846 29071275 30986559 31610820 32729250 32947445 33383835 34201500 34409125 34429510 34864875 34885530 35825596 37093150 38761700 39275100 39513525 39536934 41290950 41315412 41566223 42116769 44511780 44781995 46486500 46796410 47416230 48452125 49093875 49549140 51302250 51644265 52684700 53738394 55639725 56155692 58142550 58530167 59305401 61936425 61973118 65458500 65855875 65894890 66767670 68818250 68859020 69729750 69771060 70194615 74186300 79027050 79073868 79553897 80607591 82581900 83132446 84233538 86073775 87213825 89563990 92732875 93592820 94832460 96904250 98187750 98842335 102604500 103227375 103288530 107476788 111279450 112021313 116285100 116991025 117060334 118540575 118610802 123872850 123946236 124698669 131711750 131789780 133535340 134345985 137636500 139459500 140389230 145356375 154932795 158054100 159107794 161215182 164737225 166264892 166919175 168467076 172147550 174427650 175590501 179127980 185465750 193808500 196375500 197567625 197684670 206454750 206577060 207831115 210583845 222558900 223909975 224042626 233982050 234120668 237081150 237221604 238661691 247745700 249397338 258221325 263423500 268691970 278198625 280778460 290712750 292650835 296527005 309682125 309865590 318215588 322430364 329474450 333838350 336063939 344295100 348855300 350973075 351181002 370931500 374096007 395135250 395369340 397769485 403037955 412909500 415662230 421167690 430368875 436069125 447819950 448085252 467964100 474162300 477323382 494211675 498794676 516442650 526771503 537383940 556397250 560106565 581425500 584955125 585301670 592702875 593054010 619364250 619731180 623493345 658948900 667676700 671729925 672127878 701946150 702362004 706625791 715985073 748192014 774663975 790270500 795538970 806075910 823686125 831324460 834595875 842335380 860737750 872138250 877952505 895639900 954646764 988423350 995012839 1008191817 1032885300 1039155575 1052919225 1053543006 1112794500 1119549875 1120213130 1169910250 1170603340 1185405750 1186108020 1193308455 1238728500 1246986690 1291106625 1343459850 1344255756 1352416249 1403892300 1413251582 1431970146 1463254175 1482635025 1496384028 1549327950 1591077940 1612151820 1647372250 1669191750 1680319695 1721475500 1744276500 1754865375 1755905010 1870480035 1976846700 1988847425 1990025678 2015189775 2016383634 2078311150 2105838450 2107086012 2119877373 2239099750 2240426260 2339820500 2370811500 2386616910 2471058375 2493973380 2582213250 2633857515 2686919700 2704832498 2800532825 2826503164 2863940292 2926508350 2965270050 2985038517 3098655900 3117466725 3294744500 3338383500 3358649625 3360639390 3509730750 3511810020 3533128955 3579925365 3740960070 3873319875 3977694850 3980051356 4030379550 4032767268 4057248747 4156622300 4211676900 4239754746 4389762525 4478199500 4773233820 4942116750 4975064195 5040959085 5164426500 5195777875 5264596125 5267715030 5409664996 5601065650 5853016700 5930540100 5966542275 5970077034 6234933450 6276499673 6359632119 6717299250 6721278780 6762081245 7019461500 7066257910 7159850730 7316270875 7413175125 7481920140 7746639750 7955389700 8060759100 8114497494 8401598475 8479509492 8779525050 8955115551 9352400175 9884233500 9944237125 9950128390 10075948875 10081918170 10391555750 10529192250 10535430060 10599386865 11202131300 11933084550 11940154068 12012638447 12171746241 12469866900 12552999346 12719264238 13169287575 13434598500 13524162490 14002664125 14132515820 14319701460 14632541750 14826350250 14925192585 15493279500 15587333625 16228994988 16803196950 16915218263 17559050100 17665644775 17899626825 17910231102 18704800350 18829499019 19888474250 19900256780 20151897750 20163836340 20286243735 20783111500 21058384500 21198773730 21948812625 23866169100 24025276894 24343492482 24875320975 25105998692 25204795425 25438528476 26338575150 27048324980 28005328250 29265083500 29652700500 29832711375 29850385170 31174667250 31382498365 31798160595 33606393900 33810406225 33830436526 35331289550 35799253650 35820462204 36037915341 37409600700 37658998038 39776948500 40303795500 40572487470 42007992375 42397547460 43897625250 44775577755 46762000875 48050553788 48686984964 49750641950 50409590850 50745654789 52677150300 52996934325 56010656500 56488497057 59665422750 59700770340 60063192235 60858731205 62349334500 62764996730 63596321190 65846437875 67620812450 67660873052 70662579100 71598507300 72075830682 74625962925 75317996076 81144974940 84015984750 84576091315 87795250500 88328223875 89498134125 89551155510 93524001750 94147495095 99501283900 100819181700 101431218675 101491309578 105993868650 106700494441 108113746023 112976994114 119330845500 120126384470 121717462410 124376604875 125529993460 126023977125 127192642380 131692875750 135241624900 144151661364 149251925850 152236964367 156912491825 158990802975 168031969500 169052031125 169152182630 176656447750 178996268250 179102311020 180189576705 187048003500 188294990190 202862437350 202982619156 204214853599 211987737300 213400988882 216227492046 223877888775 225953988228 240252768940 243434924820 248753209750 252047954250 253728273945 263385751500 264984671625 282442485285 298503851700 300315961175 304293656025 304473928734 313824983650 317981605950 320101483323 338104062250 338304365260 353312895500 357992536500 360379153410 373129814625 376589980380 405724874700 408429707198 422880456575 426801977764 432454984092 447755777550 470737475475 497506419500 504095908500 507156093375 507456547890 529969343250 533502472205 540568730115 564884970570 600631922350 608587312050 608947857468 612644560797 627649967300 635963211900 640202966646 676208124500 720758306820 746259629250 761184821835 784562459125 794954014875 816859414396 845760913150 895511555100 900947883525 941474950950 960304449969 1014312186750 1014913095780 1021074267995 1059938686500 1067004944410 1081137460230 1119389443875 1129769941140 1201263844700 1217174624100 1225289121594 1268641369725 1280405933292 1412212426425 1492519258500 1501579805875 1521468280125 1522369643670 1569124918250 1589908029750 1600507416615 1691521826300 1801895767050 1813908405497 1837933682391 1882949901900 1920608899938 2028624373500 2042148535990 2114402282875 2134009888820 2162274920460 2238778887750 2353687377375 2450578243188 2537282739450 2667512361025 2702843650575 2824424852850 3003159611750 3042936560250 3044739287340 3063222803985 3138249836500 3179816059500 3201014833230 3603791534100 3627816810994 3675867364782 3805924109175 3841217799876 4084297071980 4228804565750 4477557775500 4504739417625 4707374754750 4801522249845 5074565478900 5105371339975 5335024722050 5405687301150 5441725216491 5648849705700 6006319223500 6085873120500 6126445607970 6343206848625 6402029666460 7061062132125 7255633621988 7351734729564 7611848218350 8002537083075 8457609131500 9009478835250 9069542027485 9189668411955 9414749509500 9603044499690 10210742679950 10670049444100 10811374602300 10883450432982 12252891215940 12686413697250 13337561805125 13514218252875 14122124264250 15223696436700 15316114019925 16005074166150 16325175649473 18018957670500 18139084054970 18379336823910 19029620545875 19206088999380 20421485359900 21766900865964 24007611249225 25372827394500 25526856699875 26675123610250 27028436505750 27208626082455 28244248528500 30632228039850 30836442893449 32010148332300 32650351298946 36278168109940 36758673647820 38059241091750 40012685415375 45347710137425 45948342059775 48015222498450 51053713399750 53350247220500 54056873011500 54417252164910 61264456079700 61672885786898 65300702597892 76118482183500 76580570099625 80025370830750 81625878247365 90695420274850 91896684119550 92509328680347 96030444996900 102107426799500 108834504329820 120038056246125 123345771573796 136043130412275 153161140199250 154182214467245 160050741661500 163251756494730 181390840549700 183793368239100 185018657360694 226738550687125 229741710298875 240076112492250 272086260824550 277527986041041 306322280398500 308364428934490 326503512989460 370037314721388 408129391236825 453477101374250 459483420597750 462546643401735 480152224984500 544172521649100 555055972082082 616728857868980 680215652061375 770911072336225 816258782473650 906954202748500 918966841195500 925093286803470 1110111944164164 1360431304122750 1387639930205205 1541822144672450 1632517564947300 1850186573606940 2040646956184125 2312733217008675 2720862608245500 2775279860410410 3083644289344900 3854555361681125 4081293912368250 4625466434017350 5550559720820820 6938199651026025 7709110723362250 8162587824736500 9250932868034700 11563666085043375 13876399302052050 15418221446724500 23127332170086750 27752798604104100 34690998255130125 46254664340173500 69381996510260250 138763993020520500
- Sum of all divisors σ(n): 468465763237355520
- Sum of proper divisors (its aliquot sum) s(n): 329701770216835020
- 138763993020520500 is an abundant number, because the sum of its proper divisors (329701770216835020) is greater than itself. Its abundance is 190937777196314520
Bases of 138763993020520500
- Binary: 1111011001111110100011101110011111001101001011000001101002
- Hexadecimal: 0x1ECFD1DCF9A5834
- Base-36: 11YBQACOAG50
Squares and roots of 138763993020520500
- 138763993020520500 squared (1387639930205205002) is 19255445758999062037134090920250000
- 138763993020520500 cubed (1387639930205205003) is 2671962540908756906224980985051944670978990125000000
-
The
square root of 138763993020520500 is 372510393.1711442865 -
The
cube root of 138763993020520500 is 517716.8055706965
Scales and comparisons
How big is 138763993020520500?- 138,763,993,020,520,500 seconds is equal to 4,412,265,752 years, 43 weeks, 4 days, 19 hours, 15 minutes.
-
To count from 1 to 138,763,993,020,520,500 would take you about thirteen billion, two hundred thirty-six million, seven hundred ninety-seven thousand, two hundred fifty-eight 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 138763993020520500 cubic inches would be around 43143.1 feet tall.
Recreational maths with 138763993020520500
- 138763993020520500 backwards is 005025020399367831
- The number of decimal digits it has is: 18
- The sum of 138763993020520500's digits is 63
- More coming soon!
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The information we have on file for 138763993020520500 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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