138386801792009718750
138,386,801,792,009,718,750 is an even composite number composed of seven prime numbers multiplied together.
138386801792009718750 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138386801792009718750:
2 × 3 × 56 × 112 × 292 × 197 × 85812
(2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 29 × 29 × 197 × 8581 × 8581)See below for interesting mathematical facts about the number 138386801792009718750 from the Numbermatics database.
Names of 138386801792009718750
- Cardinal: 138386801792009718750 can be written as One hundred thirty-eight quintillion, three hundred eighty-six quadrillion, eight hundred one trillion, seven hundred ninety-two billion, nine million, seven hundred eighteen thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3838680179200971875 × 1020
Factors of 138386801792009718750
Divisors of 138386801792009718750
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 5 6 10 11 15 22 25 29 30 33 50 55 58 66 75 87 110 121 125 145 150 165 174 197 242 250 275 290 319 330 363 375 394 435 550 591 605 625 638 725 726 750 825 841 870 957 985 1182 1210 1250 1375 1450 1595 1650 1682 1815 1875 1914 1970 2167 2175 2523 2750 2955 3025 3125 3190 3509 3625 3630 3750 4125 4205 4334 4350 4785 4925 5046 5713 5910 6050 6250 6501 6875 7018 7250 7975 8250 8410 8581 9075 9251 9375 9570 9850 10527 10835 10875 11426 12615 13002 13750 14775 15125 15625 15950 17139 17162 17545 18125 18150 18502 18750 20625 21025 21054 21670 21750 23837 23925 24625 25230 25743 27753 28565 29550 30250 31250 32505 34278 34375 35090 36250 39875 41250 42050 42905 45375 46255 46875 47674 47850 49250 51486 52635 54175 54375 55506 57130 62843 63075 65010 68750 71511 73875 75625 79750 85695 85810 87725 90625 90750 92510 93750 94391 101761 103125 105125 105270 108350 108750 119185 119625 123125 125686 126150 128715 138765 142825 143022 147750 151250 162525 165677 171390 171875 175450 181250 188529 188782 199375 203522 206250 210250 214525 226875 231275 238370 239250 246250 248849 257430 263175 270875 271875 277530 283173 285650 305283 314215 315375 325050 331354 343750 357555 369375 377058 378125 398750 428475 429050 438625 453125 453750 462550 471955 497031 497698 508805 515625 525625 526350 541750 543750 566346 595925 598125 610566 615625 628430 630750 643575 691273 693825 714125 715110 738750 746547 756250 812625 828385 856950 877250 906250 942645 943910 994062 996875 1017610 1031250 1038301 1051250 1072625 1134375 1156375 1191850 1196250 1231250 1244245 1287150 1315875 1354375 1359375 1382546 1387650 1415865 1428250 1493094 1526415 1571075 1576875 1625250 1656770 1690457 1787775 1822447 1846875 1885290 1890625 1993750 2073819 2076602 2142375 2145250 2193125 2268750 2312750 2359775 2485155 2488490 2544025 2628125 2631750 2708750 2718750 2737339 2831730 2979625 2990625 3052830 3078125 3114903 3142150 3153750 3217875 3380914 3456365 3469125 3570625 3575550 3644894 3693750 3732735 3781250 4063125 4141925 4147638 4284750 4386250 4713225 4719550 4970310 4984375 5071371 5088050 5191505 5256250 5363125 5467341 5474678 5671875 5781875 5959250 5981250 6156250 6221225 6229806 6435750 6579375 6771875 6912730 6938250 7079325 7141250 7216621 7465470 7632075 7855375 7884375 8126250 8212017 8283850 8452285 8938875 9112235 9234375 9426450 9968750 10142742 10369095 10383010 10711875 10726250 10934682 10965625 11343750 11563750 11798875 12425775 12442450 12720125 13140625 13158750 13543750 13686695 14158650 14433242 14898125 14953125 15264150 15574515 15710750 15768750 16089375 16424034 16904570 17281825 17345625 17853125 17877750 18224470 18468750 18595027 18663675 20046917 20315625 20709625 20738190 21423750 21649863 21931250 23566125 23597750 24851550 25356855 25440250 25957525 26281250 26815625 27336705 27373390 28909375 29796250 29906250 30110729 31106125 31149030 32178750 32896875 33859375 34563650 34691250 35396625 35706250 36083105 37190054 37327350 38160375 39276875 39421875 40093834 40631250 41060085 41419250 42261425 43299726 44694375 45561175 47132250 49023253 50713710 51845475 51915050 53559375 53631250 54673410 54828125 55785081 57818750 58994375 60140751 60221458 62128875 62212250 63600625 65793750 67718750 68433475 70793250 72166210 73633561 74490625 76320750 77872575 78553750 78843750 79382831 80446875 82120170 84522850 86409125 86728125 89265625 89388750 90332187 91122350 92975135 93318375 98046506 100234585 101578125 103548125 103690950 107118750 108249315 109656250 111570162 117830625 117988750 120281502 124257750 126784275 127201250 129787625 134078125 136683525 136866950 144546875 147069759 147267122 148981250 150553645 155530625 155745150 158765662 160893750 164484375 172818250 173456250 176983125 178531250 180415525 180664374 185950270 186636750 190801875 196384375 200469170 203156250 204545297 205300425 207096250 211307125 216498630 220900683 223471875 227805875 235661250 238148493 245116265 253568550 259227375 259575250 267796875 268156250 273367050 278925405 289093750 294139518 294971875 300703755 301107290 310644375 311061250 318003125 328968750 342167375 353966250 360831050 368167805 372453125 381603750 389362875 392768750 396914155 402234375 409090594 410600850 422614250 432045625 433640625 441801366 446943750 451660935 455611750 464875675 466591875 476296986 490232530 501172925 517740625 518454750 535593750 539255783 541246575 557850810 589153125 589943750 601407510 613635891 621288750 633921375 636006250 648938125 683417625 684334750 735348795 736335610 744906250 752768225 777653125 778725750 793828310 804468750 809969171 864091250 867281250 873211141 884915625 902077625 903321870 929751350 933183750 954009375 981921875 1002345850 1022726485 1026502125 1035481250 1056535625 1078511566 1082493150 1104503415 1117359375 1139029375 1178306250 1190742465 1225581325 1227271782 1267842750 1296136875 1297876250 1366835250 1394627025 1421674337 1470697590 1474859375 1503518775 1505536450 1553221875 1555306250 1590015625 1617767349 1619938342 1710836875 1746422282 1769831250 1804155250 1840839025 1908018750 1946814375 1963843750 1984570775 2045452970 2053004250 2113071250 2135373269 2160228125 2209006830 2234718750 2258304675 2278058750 2324378375 2332959375 2381484930 2429907513 2451162650 2505864625 2588703125 2592273750 2619633423 2696278915 2706232875 2789254050 2843348674 2945765625 2949718750 3007037550 3068179455 3106443750 3169606875 3180031250 3235534698 3244690625 3417088125 3421673750 3676743975 3681678050 3763841125 3888265625 3893628750 3969141550 4049845855 4265023011 4270746538 4320456250 4366055705 4424578125 4510388125 4516609350 4648756750 4665918750 4770046875 4859815026 5011729250 5113632425 5132510625 5177406250 5239266846 5282678125 5392557830 5412465750 5522517075 5695146875 5891531250 5931813613 5953712325 6127906625 6136358910 6339213750 6406119807 6480684375 6489381250 6834176250 6973135125 7108371685 7353487950 7517593875 7527682250 7766109375 7776531250 8088836745 8099691710 8530046022 8554184375 8732111410 8849156250 8909660881 9020776250 9204195125 9540093750 9734071875 9922853875 10227264850 10265021250 10565356250 10676866345 10801140625 11045034150 11291523375 11390293750 11621891875 11664796875 11863627226 11907424650 12149537565 12255813250 12529323125 12812239614 12961368750 13098167115 13481394575 13531164375 13946270250 14216743370 14505811517 15035187750 15340897275 15532218750 15638417707 15848034375 16177673490 16223453125 17085440625 17108368750 17795440839 17819321762 18383719875 18408390250 18819205625 19468143750 19845707750 20249229275 21325115055 21353732690 21602281250 21830278525 22551940625 22583046750 23243783750 23329593750 23489105959 24299075130 25058646250 25568162125 25662553125 26196334230 26413390625 26728982643 26962789150 27062328750 27612585375 28475734375 29011623034 29659068065 29768561625 30639533125 30681794550 31276835414 31696068750 32030599035 32403421875 32446906250 34170881250 34865675625 35541858425 35590881678 36767439750 37587969375 37638411250 40444183725 40498458550 42650230110 42770921875 43517434551 43660557050 44548304405 45103881250 46020975625 46915253121 46978211918 48670359375 49614269375 51136324250 51325106250 52826781250 53384331725 53457965286 55225170750 56457616875 56951468750 58109459375 59318136130 59537123250 60747687825 61279066250 61925824801 62646615625 64061198070 64806843750 65490835575 67406972875 67655821875 69731351250 70467317877 71083716850 72529057585 75175938750 76704486375 78192088535 79240171875 80888367450 85427203125 85541843750 87034869102 88977204195 89096608810 91918599375 92041951250 93830506242 94096028125 97340718750 99228538750 101246146375 106625575275 106768663450 109151392625 112759703125 112915233750 116218918750 117445529795 121495375650 123851649602 125293231250 127840810625 128312765625 130981671150 133644913215 134813945750 135311643750 138062926875 140934635754 145058115170 148295340325 148842808125 153197665625 153408972750 156384177070 158480343750 159563926687 160152995175 170854406250 172022594777 174328378125 177709292125 177954408390 183837198750 185777474403 187939846875 188192056250 202220918625 202492292750 213251150550 217587172755 218302785250 222741522025 225519406250 230104878125 234576265605 234891059590 248071346875 255681621250 256625531250 258380165549 266921658625 267289826430 276125853750 282288084375 290547296875 296590680650 297685616250 303738439125 306395331250 309629124005 313233078125 319127853374 320305990350 327454177875 337034864375 338279109375 344045189554 348656756250 352336589385 355418584250 362645287925 371554948806 375879693750 383522431875 390960442675 404441837250 420668533993 435174345510 444886020975 445483044050 459592996875 460209756250 469152531210 470480140625 478691780061 496142693750 506230731875 516067784331 516760331098 533127876375 533843317250 545756963125 564576168750 581094593750 587227648975 607476878250 619258248010 626466156250 639204053125 654908355750 668224566075 674069728750 676558218750 681184072811 690314634375 704673178770 725290575850 741476701625 744214040625 765988328125 767044863750 775140496647 781920885350 797819633435 800764975875 841337067986 860112973885 871641890625 888546460625 889772041950 919185993750 928887372015 939699234375 940960281250 957383560122 1011104593125 1012461463750 1032135568662 1066255752750 1087935863775 1091513926250 1113707610125 1150524390625 1172881328025 1174455297950 1240356734375 1262005601979 1278408106250 1291900827745 1334608293125 1336449132150 1362368145622 1380629268750 1411440421875 1482953403250 1488428081250 1518692195625 1531976656250 1548145620025 1550280993294 1595639266870 1601529951750 1637270889375 1685174321875 1720225947770 1743283781250 1755203193557 1761682946925 1777092921250 1813226439625 1857774744030 1879398468750 1917612159375 1954802213375 2022209186250 2043552218433 2103342669965 2175871727550 2224430104875 2227415220250 2297964984375 2301048781250 2345762656050 2393458900305 2480713468750 2524011203958 2531153659375 2580338921655 2583801655490 2665639381875 2669216586250 2728784815625 2822880843750 2936138244875 3037384391250 3096291240050 3196020265625 3274541778750 3341122830375 3370348643750 3405920364055 3451573171875 3510406387114 3523365893850 3626452879250 3707383508125 3721070203125 3835224318750 3875702483235 3909604426750 3989098167175 4003824879375 4087104436866 4206685339930 4300564869425 4442732303125 4448860209750 4595929968750 4627353873923 4644436860075 4786917800610 5055522965625 5062307318750 5160677843310 5265609580671 5331278763750 5439679318875 5457569631250 5568538050625 5864406640125 5872276489750 6310028009895 6392040531250 6459504138725 6673041465625 6682245660750 6811840728110 6903146343750 7414767016250 7442140406250 7493024800921 7593460978125 7740728100125 7751404966470 7978196334350 8007649758750 8186354446875 8425871609375 8601129738850 8776015967785 8808414734625 8885464606250 9066132198125 9254707747846 9288873720150 9588060796875 9774011066875 10111045931250 10217761092165 10516713349825 10531219161342 10879358637750 11122150524375 11137076101250 11728813280250 11967294501525 12199387485797 12620056019790 12655768296875 12901694608275 12919008277450 13328196909375 13346082931250 13643924078125 13882061621769 14680691224375 14986049601842 15186921956250 15481456200250 16372708893750 16705614151875 16851743218750 17029601820275 17552031935570 17616829469250 18132264396250 18536917540625 19176121593750 19378512416175 19548022133750 19945490835875 20019124396875 20435522184330 21033426699650 21502824347125 22213661515625 22244301048750 22479074402763 23136769369615 23222184300375 23934589003050 24398774971594 25277614828125 25311536593750 25803389216550 26328047903355 26656393818750 27198396594375 27287848156250 27764123243538 27842690253125 29322033200625 29361382448750 31550140049475 32297520693625 33365207328125 33411228303750 34059203640550 36598162457391 37073835081250 37465124004605 37967304890625 38703640500625 38757024832350 39890981671750 40038248793750 40931772234375 43005648694250 43880079838925 44042073673125 44427323031250 44958148805526 45330660990625 46273538739230 46444368600750 48870055334375 50555229656250 50900892613153 51088805460825 52583566749125 52656095806710 54396793188750 55610752621875 55685380506250 58644066401250 59836472507625 60996937428985 63100280098950 64508473041375 64595041387250 66640984546875 66730414656250 69410308108845 73196324914782 73403456121875 74930248009210 75934609781250 77407281001250 81863544468750 83528070759375 85148009101375 87760159677850 88084147346250 90661321981250 92684587703125 96892562080875 97740110668750 99727454179375 100095621984375 101801785226306 102177610921650 105167133498250 107514121735625 111221505243750 112395372013815 115683846848075 116110921501875 119672945015250 121993874857970 129016946082750 131640239516775 133281969093750 134193262343767 135991982971875 138820616217690 139213451265625 146610166003125 146806912243750 152702677839459 157750700247375 161487603468125 167056141518750 170296018202750 182990812286955 185369175406250 187325620023025 193518202503125 193785124161750 199454908358750 200191243968750 215028243471250 219400399194625 220210368365625 224790744027630 226653304953125 231367693696150 232221843003750 244350276671875 254504463065765 255444027304125 262917833745625 263280479033550 268386524687534 271983965943750 278053763109375 278426902531250 293220332006250 299182362538125 304984687144925 305405355678918 315501400494750 322542365206875 322975206936250 347051540544225 365981624573910 367017280609375 374651240046050 387036405006250 402579787031301 417640353796875 425740045506875 438800798389250 440420736731250 453306609906250 484462810404375 488700553343750 498637270896875 509008926131530 510888054608250 525835667491250 537570608678125 556107526218750 561976860069075 578419234240375 580554607509375 598364725076250 609969374289850 645084730413750 658201197583875 670966311718835 679959914859375 694103081088450 733050830015625 734034561218750 763513389197295 788753501236875 805159574062602 807438017340625 835280707593750 851480091013750 914954061434775 936628100115125 967591012515625 968925620808750 997274541793750 1075141217356250 1097001995973125 1101051841828125 1123953720138150 1156838468480750 1161109215018750 1272522315328825 1277220136520625 1314589168728125 1316402395167750 1341932623437670 1359919829718750 1466101660031250 1476125885781437 1495911812690625 1524923435724625 1527026778394590 1577507002473750 1612711826034375 1614876034681250 1735257702721125 1829908122869550 1873256200230250 1935182025031250 2012898935156505 2128700227534375 2194003991946250 2202103683656250 2422314052021875 2493186354484375 2545044630657650 2554440273041250 2629178337456250 2687853043390625 2809884300345375 2892096171201875 2902773037546875 2952251771562874 2991823625381250 3049846871449250 3225423652068750 3291005987919375 3354831558594175 3470515405442250 3817566945986475 3943767506184375 4025797870313010 4037190086703125 4257400455068750 4428377657344311 4574770307173875 4683140500575625 4844628104043750 4986372708968750 5375706086781250 5485009979865625 5619768600690750 5784192342403750 5805546075093750 6362611576644125 6386100682603125 6572945843640625 6582011975838750 6709663117188350 7380629428907185 7479559063453125 7624617178623125 7635133891972950 7887535012368750 8063559130171875 8074380173406250 8676288513605625 8856755314688622 9149540614347750 9366281001151250 10064494675782525 10643501137671875 10970019959731250 12111570260109375 12725223153288250 12772201365206250 13145891687281250 14049421501726875 14460480856009375 14761258857814370 14959118126906250 15249234357246250 16127118260343750 16455029939596875 16774157792970875 17352577027211250 19087834729932375 19718837530921875 20128989351565050 21287002275343750 22141888286721555 22873851535869375 23415702502878125 24223140520218750 27425049899328125 28098843003453750 28920961712018750 31813057883220625 31930503413015625 32910059879193750 33548315585941750 36903147144535925 38123085893115625 38175669459864750 39437675061843750 43381442568028125 44283776573443110 45747703071738750 46831405005756250 50322473378912625 54850099798656250 63626115766441250 63861006826031250 70247107508634375 72302404280046875 73806294289071850 76246171786231250 82275149697984375 83870788964854375 86762885136056250 95439173649661875 100644946757825250 110709441433607775 114369257679346875 117078512514390625 140494215017268750 144604808560093750 159065289416103125 164550299395968750 167741577929708750 184515735722679625 190615429465578125 190878347299323750 216907212840140625 221418882867215550 228738515358693750 234157025028781250 251612366894563125 318130578832206250 351235537543171875 369031471445359250 381230858931156250 419353944824271875 433814425680281250 477195868248309375 503224733789126250 553547207168038875 571846288396734375 702471075086343750 795326447080515625 838707889648543750 922578678613398125 954391736496618750 1107094414336077750 1143692576793468750 1258061834472815625 1590652894161031250 1845157357226796250 2096769724121359375 2385979341241546875 2516123668945631250 2767736035840194375 4193539448242718750 4612893393066990625 4771958682483093750 5535472071680388750 6290309172364078125 9225786786133981250 12580618344728156250 13838680179200971875 23064466965334953125 27677360358401943750 46128933930669906250 69193400896004859375 138386801792009718750
- Sum of all divisors σ(n): 395883253121693481144
- Sum of proper divisors (its aliquot sum) s(n): 257496451329683762394
- 138386801792009718750 is an abundant number, because the sum of its proper divisors (257496451329683762394) is greater than itself. Its abundance is 119109649537674043644
Bases of 138386801792009718750
- Binary: 11110000000100000001010111100000110011011110010000101001011110111102
- Hexadecimal: 0x78080AF066F214BDE
- Base-36: T7EBV2TUFTYOU
Squares and roots of 138386801792009718750
- 138386801792009718750 squared (1383868017920097187502) is 19150906910220984304723832094454101562500
- 138386801792009718750 cubed (1383868017920097187503) is 2650232758721980616773493591545119510114292975799560546875000
-
The
square root of 138386801792009718750 is 11763791981.8402823859 -
The
cube root of 138386801792009718750 is 5172472.9029798335
Scales and comparisons
How big is 138386801792009718750?- 138,386,801,792,009,718,750 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,386,801,792,009,718,750 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138386801792009718750 cubic inches would be around 431039.4 feet tall.
Recreational maths with 138386801792009718750
- 138386801792009718750 backwards is 057817900297108683831
- The number of decimal digits it has is: 21
- The sum of 138386801792009718750's digits is 93
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138386801792009718750 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138386801792009718750 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138386801792009718750/
Chicago style:
Numbermatics. 2024. "Number 138386801792009718750 - Facts about the integer". https://numbermatics.com/n/138386801792009718750/
The information we have on file for 138386801792009718750 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 138386801792009718750, math, Factors of 138386801792009718750, curriculum, school, college, exams, university, Prime factorization of 138386801792009718750, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred eighty-six quadrillion, eight hundred one trillion, seven hundred ninety-two billion, nine million, seven hundred eighteen thousand, seven hundred fifty.