138816516835816875
138,816,516,835,816,875 is an odd composite number composed of five prime numbers multiplied together.
138816516835816875 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 138816516835816875:
313 × 54 × 112 × 292 × 372
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 29 × 29 × 37 × 37)See below for interesting mathematical facts about the number 138816516835816875 from the Numbermatics database.
Names of 138816516835816875
- Cardinal: 138816516835816875 can be written as One hundred thirty-eight quadrillion, eight hundred sixteen trillion, five hundred sixteen billion, eight hundred thirty-five million, eight hundred sixteen thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.38816516835816875 × 1017
Factors of 138816516835816875
Divisors of 138816516835816875
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 3 5 9 11 15 25 27 29 33 37 45 55 75 81 87 99 111 121 125 135 145 165 185 225 243 261 275 297 319 333 363 375 405 407 435 495 555 605 625 675 725 729 783 825 841 891 925 957 999 1073 1089 1125 1215 1221 1305 1369 1375 1485 1595 1665 1815 1875 2025 2035 2175 2187 2349 2475 2523 2673 2775 2871 2997 3025 3219 3267 3375 3509 3625 3645 3663 3915 4107 4125 4205 4455 4477 4625 4785 4995 5365 5445 5625 6075 6105 6525 6561 6845 6875 7047 7425 7569 7975 8019 8325 8613 8991 9075 9251 9657 9801 10125 10175 10527 10875 10935 10989 11745 11803 12321 12375 12615 13365 13431 13875 14355 14985 15059 15125 16095 16335 16875 17545 18125 18225 18315 19575 19683 20535 20625 21025 21141 22275 22385 22707 23125 23925 24057 24975 25839 26825 26973 27225 27753 28971 29403 30375 30525 31117 31581 32625 32805 32967 34225 35235 35409 36963 37125 37845 39701 39875 40095 40293 41625 43065 44955 45177 45375 46255 48285 49005 50625 50875 52635 54375 54675 54945 58725 59015 59049 61605 61875 63075 63423 66825 67155 68121 69375 71775 72171 74925 75295 75625 77517 80475 80919 81675 83259 86913 87725 88209 91125 91575 93351 94743 97875 98415 98901 101761 102675 105125 105705 106227 110889 111375 111925 113535 119103 119625 120285 120879 124875 129195 129833 134125 134865 135531 136125 138765 144855 147015 151875 152625 155585 157905 163125 164025 164835 165649 171125 176175 177045 177147 184815 185625 189225 190269 198505 199375 200475 201465 204363 208125 215325 216513 224775 225885 226875 231275 232551 241425 242757 245025 249777 254375 260739 263175 264627 273375 274725 280053 284229 293625 295075 295245 296703 305283 308025 315375 317115 318681 332667 334125 335775 340605 342287 357309 358875 360855 362637 374625 376475 387585 389499 402375 404595 406593 408375 416295 434565 436711 438625 441045 455625 457875 466755 473715 489375 492075 494505 496947 508805 513375 525625 528525 531135 531441 554445 556875 559625 567675 570807 595515 598125 601425 604395 613089 624375 645975 649165 649539 670625 674325 677655 680625 693825 697653 724275 728271 735075 749331 763125 777925 782217 789525 793881 820125 824175 828245 840159 852687 855625 880875 885225 885735 890109 915849 924075 946125 951345 956043 992525 998001 1002375 1007325 1021815 1026861 1071927 1076625 1082565 1087911 1123875 1129425 1151329 1156375 1162755 1168497 1207125 1213785 1219779 1225125 1248885 1303695 1310133 1315875 1323135 1366875 1373625 1400265 1421145 1468125 1475375 1476225 1483515 1490841 1526415 1540125 1576875 1585575 1593405 1594323 1663335 1670625 1678875 1703025 1711435 1712421 1786545 1794375 1804275 1813185 1839267 1873125 1882375 1937925 1947495 1948617 2011875 2022975 2032965 2041875 2081475 2092959 2172825 2183555 2184813 2193125 2205225 2247993 2289375 2333775 2346651 2368575 2381643 2460375 2472525 2484735 2520477 2544025 2558061 2566875 2642625 2655675 2657205 2670327 2747547 2772225 2798125 2838375 2854035 2868129 2977575 2994003 3007125 3021975 3065445 3080583 3215781 3229875 3245825 3247695 3263733 3371625 3388275 3453987 3469125 3488265 3505491 3621375 3641355 3659337 3675375 3746655 3765157 3889625 3911085 3930399 3947625 3969405 4100625 4120875 4141225 4200795 4263435 4404375 4426125 4428675 4450545 4472523 4579245 4620375 4730625 4756725 4780215 4803821 4962625 4990005 5011875 5036625 5109075 5134305 5137263 5359635 5383125 5412825 5439555 5517801 5619375 5647125 5756645 5781875 5813775 5842485 5845851 6035625 6068925 6098895 6125625 6244425 6278877 6518475 6550665 6554439 6579375 6615675 6743979 6868125 7001325 7039953 7105725 7144929 7376875 7381125 7417575 7454205 7561431 7632075 7674183 7700625 7927875 7967025 7971615 8010981 8242641 8316675 8394375 8515125 8557175 8562105 8604387 8932725 8982009 9021375 9065925 9196335 9241749 9411875 9647343 9689625 9737475 9743085 9791199 10114875 10164825 10361961 10407375 10464795 10516473 10864125 10917775 10924065 10978011 11026125 11239965 11295471 11668875 11733255 11791197 11842875 11908215 12301875 12362625 12423675 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110716875 111263625 111813075 113421465 113981571 114481125 115112745 118918125 119505375 120095525 120164715 120758121 123639615 124750125 127726875 128357625 128431575 129065805 129703167 133990875 134730135 135320625 135988875 137945025 138626235 139310809 143916125 144710145 145344375 146062125 146146275 146867985 148980627 151723125 152472375 155429415 156110625 156971925 157747095 162961875 163766625 163860975 164670165 165391875 168599475 169432065 169529679 175033125 175998825 176867955 177643125 178623225 182087433 185439375 186355125 189035775 189969285 190078731 190801875 191854575 192913083 199175625 199290375 200274525 201263535 204158637 206066025 207202941 207916875 213929375 214052625 215109675 216171945 216296487 222551307 223318125 224550225 226648125 229908375 231043725 231176835 232318449 241183575 242514243 243436875 243577125 244779975 248301045 249527223 254120625 259049025 260478261 261619875 262911825 264362373 272944375 273101625 274450275 279772947 280999125 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25519829625 25645853475 25787347839 25900367625 27021493125 27037060875 27170577225 27561415995 27697521753 27818913375 27972397035 28897104375 29039806125 29183212575 29344223403 30044426445 30314280375 31037630625 31190902875 31344932025 31362990615 31517869581 32559782625 33045296625 33520641075 33686175105 33852526587 34971618375 35164565235 35318683125 35493096375 35688920355 36868719375 37050787125 37769347845 37934881875 38122214625 38332544085 39599735625 39795289875 40014850095 40190225625 40969672425 41171991795 42533049375 42743089125 42767714475 42978913065 43167279375 45061768125 45284295375 45935693325 46162536255 46364855625 46620661725 48399676875 48638687625 48907039005 49610548791 50074044075 50523800625 51984838125 52241553375 52271651025 52529782635 54079967601 54266304375 54565704675 55075494375 55867735125 56143625175 56420877645 58286030625 58607608725 59155160625 59481533925 60635115189 61751311875 62948913075 63296217423 63537024375 63573629625 63887573475 66325483125 66691416825 67984826121 68282787375 68619986325 68998579353 71238481875 71279524125 71631521775 73745410365 74109585231 75473825625 76559488875 76937560425 77362043517 77701102875 81064479375 81111182625 81511731675 82684247985 83092565259 83456740125 87069255625 87119418375 87549637725 88032670209 90133279335 90942841125 93112891875 93572708625 94034796075 94088971845 94553608743 97679347875 99135889875 101058525315 101557579761 104914855125 105493695705 105956049375 106479289125 111152361375 113308043535 113804645625 114366643875 114997632255 118799206875 119385869625 120044550285 120570676875 122909017275 123515975385 127599148125 128229267375 128936739195 129501838125 135185304375 135852886125 137807079975 138487608765 139094566875 139861985175 145199030625 145916062875 146721117015 150222132225 151571401875 155954514375 156724660125 156814953075 157589347905 162239902803 162798913125 165226483125 167603205375 168430875525 169262632935 174858091875 175822826175 177465481875 178444601775 181905345567 185253935625 188846739225 190611073125 191662720425 198976449375 200074250475 203954478363 204848362125 205859958975 206995738059 213715445625 213838572375 214894565325 222328755693 226421476875 229678466625 230812681275 232086130551 233103308625 243193438125 244535195025 248052743955 249277695777 250370220375 261207766875 261358255125 262648913175 264098010627 270399838005 272828523375 279338675625 280718125875 282104388225 283660826229 293038043625 297407669625 303175575945 304672739283 314744565375 316481087115 317868148125 319437867375 333457084125 339924130605 341413936875 343099931625 344992896765 356397620625 358157608875 368727051825 370547926155 382797444375 384687802125 386810217585 388505514375 405555913125 407558658375 413421239925 415462826295 417283700625 435597091875 437748188625 440163351045 450666396675 454714205625 467863543125 470173980375 470444859225 472768043715 488396739375 495679449375 505292626575 507787898805 524574275625 527468478525 532396445625 545716036701 555761806875 566540217675 571833219375 574988161275 596929348125 600222751425 611863435089 614545086375 617579876925 641146336875 644683695975 666986267079 679264430625 689035399875 692438043825 696258391653 699309925875 729580314375 733605585075 747833087331 751110661125 783623300625 784074765375 787946739525 811199514015 838016026875 842154377625 846313164675 850982478687 879114130875 892223008875 909526727835 914018217849 944233696125 958313602125 1000371252375 1019772391815 1024241810625 1029299794875 1034978690295 1069192861875 1074472826625 1111643778465 1148392333125 1154063406375 1160430652755 1165516543125 1222675975125 1240263719775 1246388478885 1251851101875 1306791275625 1313244565875 1320490053135 1351999190025 1364142616875 1403590629375 1410521941125 1418304131145 1465190218125 1487038348125 1515877879725 1523363696415 1573722826875 1582405435575 1597189336875 1667285420625 1699620653025 1715499658125 1724964483825 1790788044375 1835590305267 1843635259125 1852739630775 1923439010625 1934051087925 2000958801237 2037793291875 2067106199625 2077314131475 2188740943125 2200816755225 2243499261993 2253331983375 2350869901875 2352224296125 2363840218575 2526463132875 2538939494025 2552947436061 2637342392625 2728580183505 2742054653547 2832701088375 2874940806375 3001113757125 3059317175445 3072725431875 3087899384625 3223418479875 3334931335395 3445176999375 3462190219125 3481291958265 3496549629375 3668027925375 3739165436655 3755553305625 3920373826875 3939733697625 4055997570075 4210771888125 4231565823375 4254912393435 4395570654375 4461115044375 4547633639175 4570091089245 4721168480625 4791568010625 5001856261875 5098861959075 5146498974375 5174893451475 5372364133125 5558218892325 5770317031875 5802153263775 6002876403711 6113379875625 6201318598875 6231942394425 6566222829375 6602450265675 6730497785979 6759995950125 7052609705625 7091520655725 7579389398625 7616818482075 7658842308183 7912027177875 8226163960641 8498103265125 8624822419125 9177951526335 9218176295625 9263698153875 9670255439625 10004794006185 10335530998125 10386570657375 11004083776125 11217496309965 11266659916875 11761121480625 11819201092875 12632315664375 12694697470125 12764737180305 13186711963125 13642900917525 13710273267735 14163505441875 14374704031875 15005568785625 15296585877225 15439496923125 16117092399375 16674656676975 17310951095625 17406459791325 18340139626875 18695827183275 19698668488125 20191493357937 20279987850375 21157829116875 21274561967175 22738168195875 22850455446225 24678491881923 25494309795375 25874467257375 27791094461625 29010766318875 30014382018555 31006592994375 31159711972125 33012251328375 33652488929895 33799979750625 35457603278625 37896946993125 38084092410375 38294211540915 39560135889375 41130819803205 42490516325625 43124112095625 45889757631675 46318490769375 48351277198125 50023970030925 51932853286875 55020418880625 56087481549825 59096005464375 63473487350625 63823685901525 68214504587625 68551366338675 74035475645769 76482929386125 83373283384875 87032298956625 93479135916375 100957466789685 101399939251875 106372809835875 113690840979375 114252277231125 123392459409615 127471548976875 129372336286875 138955472308125 145053831594375 150071910092775 155798559860625 165061256641875 168262444649475 177288016393125 190420462051875 191471057704575 205654099016025 222106426937307 229448788158375 250119850154625 280437407749125 319118429507625 341072522938125 342756831693375 370177378228845 382414646930625 416866416924375 435161494783125 467395679581875 504787333948425 531864049179375 571261386155625 616962297048075 750359550463875 841312223247375 957355288522875 1028270495080125 1110532134686535 1147243940791875 1250599250773125 1402187038745625 1595592147538125 1713784158466875 1850886891144225 2523936669742125 3084811485240375 3751797752319375 4206561116236875 4786776442614375 5141352475400625 5552660673432675 9254434455721125 12619683348710625 15424057426201875 27763303367163375 46272172278605625 138816516835816875
- Sum of all divisors σ(n): 304426466553613404
- Sum of proper divisors (its aliquot sum) s(n): 165609949717796529
- 138816516835816875 is an abundant number, because the sum of its proper divisors (165609949717796529) is greater than itself. Its abundance is 26793432881979654
Bases of 138816516835816875
- Binary: 1111011010010110011100010111101101111010010110101101010112
- Hexadecimal: 0x1ED2CE2F6F4B5AB
- Base-36: 11YUCJGJSJOR
Squares and roots of 138816516835816875
- 138816516835816875 squared (1388165168358168752) is 19270025346428629901604848534765625
- 138816516835816875 cubed (1388165168358168753) is 2674997797929127811816977737194790926238633544921875
-
The
square root of 138816516835816875 is 372580886.2996287351 -
The
cube root of 138816516835816875 is 517782.1179789839
Scales and comparisons
How big is 138816516835816875?- 138,816,516,835,816,875 seconds is equal to 4,413,935,847 years, 36 weeks, 2 days, 16 hours, 41 minutes, 15 seconds.
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To count from 1 to 138,816,516,835,816,875 would take you about thirteen billion, two hundred forty-one million, eight hundred seven thousand, five hundred forty-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 138816516835816875 cubic inches would be around 43148.5 feet tall.
Recreational maths with 138816516835816875
- 138816516835816875 backwards is 578618538615618831
- The number of decimal digits it has is: 18
- The sum of 138816516835816875's digits is 90
- More coming soon!
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The information we have on file for 138816516835816875 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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