138318652404017595328
138,318,652,404,017,595,328 is an even composite number composed of six prime numbers multiplied together.
138318652404017595328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 138318652404017595328:
26 × 72 × 13 × 19 × 292 × 4607932
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 19 × 29 × 29 × 460793 × 460793)See below for interesting mathematical facts about the number 138318652404017595328 from the Numbermatics database.
Names of 138318652404017595328
- Cardinal: 138318652404017595328 can be written as One hundred thirty-eight quintillion, three hundred eighteen quadrillion, six hundred fifty-two trillion, four hundred four billion, seventeen million, five hundred ninety-five thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38318652404017595328 × 1020
Factors of 138318652404017595328
Divisors of 138318652404017595328
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 29 32 38 49 52 56 58 64 76 91 98 104 112 116 133 152 182 196 203 208 224 232 247 266 304 364 377 392 406 416 448 464 494 532 551 608 637 728 754 784 812 832 841 928 931 988 1064 1102 1216 1274 1421 1456 1508 1568 1624 1682 1729 1856 1862 1976 2128 2204 2548 2639 2842 2912 3016 3136 3248 3364 3458 3724 3857 3952 4256 4408 5096 5278 5684 5824 5887 6032 6496 6728 6916 7163 7448 7714 7904 8512 8816 10192 10556 10933 11368 11774 12064 12103 12992 13456 13832 14326 14896 15428 15808 15979 17632 18473 20384 21112 21866 22736 23548 24128 24206 26912 26999 27664 28652 29792 30856 31958 35264 36946 40768 41209 42224 43732 45472 47096 48412 50141 53824 53998 55328 57304 59584 61712 63916 73892 76531 82418 84448 87464 90944 94192 96824 100282 107996 110656 111853 114608 123424 127832 147784 153062 164836 168896 174928 188384 193648 200564 207727 215992 223706 229216 246848 255664 295568 306124 329672 349856 350987 376768 387296 401128 415454 431984 447412 458432 460793 511328 535717 591136 612248 659344 699712 701974 774592 782971 802256 830908 863968 894824 921586 1022656 1071434 1182272 1224496 1318688 1403948 1454089 1565942 1604512 1661816 1727936 1789648 1843172 2142868 2448992 2637376 2807896 2908178 3131884 3209024 3225551 3323632 3579296 3686344 4285736 4897984 5615792 5816356 5990309 6263768 6451102 6647264 7158592 7372688 8571472 8755067 10178623 11231584 11632712 11980618 12527536 12902204 13294528 13362997 14745376 17142944 17510134 20357246 22463168 22578857 23265424 23961236 25055072 25804408 26725994 29490752 34285888 35020268 40714492 41932163 45157714 46530848 47922472 50110144 51608816 53451988 61285469 70040536 81428984 83864326 90315428 93061696 93540979 95844944 103217632 106903976 113815871 122570938 140081072 162857968 167728652 173718961 180630856 187081958 191689888 206435264 213807952 227631742 245141876 253896943 280162144 293525141 325715936 335457304 347437922 361261712 374163916 383379776 387526913 427615904 428998283 455263484 490283752 507793886 560324288 587050282 651431872 654786853 670914608 694875844 722523424 748327832 775053826 796711097 855231808 857996566 910526968 980567504 1015587772 1174100564 1216032727 1309573706 1341829216 1389751688 1445046848 1496655664 1550107652 1593422194 1715993132 1777278601 1821053936 1961135008 2031175544 2348201128 2432065454 2619147412 2683658432 2712688391 2779503376 2993311328 3100215304 3186844388 3300660259 3431986264 3554557202 3642107872 3922270016 4062351088 4696402256 4864130908 5037849869 5238294824 5425376782 5559006752 5576977679 5986622656 6200430608 6373688776 6601320518 6863972528 7109114404 7284215744 7363011347 8124702176 8512229089 9392804512 9728261816 10075699738 10476589648 10850753564 11118013504 11153955358 12400861216 12440950207 12747377552 13202641036 13727945056 14218228808 14726022694 16249404352 17024458178 18785609024 18988818737 19456523632 20151399476 20953179296 21701507128 22307910716 23104621813 24801722432 24881900414 25494755104 26405282072 27455890112 28436457616 29452045388 34048916356 35264949083 37977637474 38913047264 40302798952 41906358592 43403014256 44615821432 46209243626 49763800828 50989510208 51541079429 52810564144 56872915232 58904090776 68097832712 70529898166 75955274948 77826094528 80605597904 86806028512 89231642864 92418487252 95719147511 99527601656 103082158858 105621128288 113745830464 117808181552 136195665424 141059796332 151910549896 161211195808 161732352691 173612057024 178463285728 184836974504 191438295022 199055203312 206164317716 211242256576 212330188849 235616363104 246854643581 272391330848 282119592664 303821099792 322422391616 323464705382 356926571456 360787556003 369673949008 382876590044 398110406624 412328635432 424660377698 471232726208 493709287162 544782661696 564239185328 607642199584 646929410764 670034032577 721575112006 739347898016 765753180088 796220813248 824657270864 849320755396 987418574324 1128478370656 1215284399168 1293858821528 1340068065154 1443150224012 1478695796032 1486311321943 1531506360176 1649314541728 1698641510792 1974837148648 2256956741312 2587717643056 2680136130308 2760292455037 2886300448024 2972622643886 3063012720352 3298629083456 3397283021584 3949674297296 4034273588131 4690238228039 5175435286112 5360272260616 5520584910074 5772600896048 5945245287772 6126025440704 6157575476621 6794566043168 7899348594592 8068547176262 9380476456078 10350870572224 10404179253601 10720544521232 11041169820148 11545201792096 11890490575544 12315150953242 13589132086336 15798697189184 16137094352524 18760952912156 19322047185259 20808358507202 21441089042464 22082339640296 23090403584192 23780981151088 24630301906484 28239915116917 32274188705048 37521905824312 38644094370518 41616717014404 42882178084928 43103028336347 44164679280592 47561962302176 49260603812968 52445556645703 56479830233834 64548377410096 75043811648624 77288188741036 80048481196073 83233434028808 86206056672694 88329358561184 95123924604352 98521207625936 104891113291406 112959660467668 116993934055799 129096754820192 135254330296813 150087623297248 154576377482072 160096962392146 166466868057616 172412113345388 176658717122368 178569688822009 197042415251872 197679405818419 209782226582812 225919320935336 233987868111598 258193509640384 270508660593626 300175246594496 301721198354429 309152754964144 320193924784292 332933736115232 344824226690776 357139377644018 367118896519921 394084830503744 395358811636838 419564453165624 451838641870672 467975736223196 541017321187252 560339368372511 603442396708858 618305509928288 640387849568584 665867472230464 689648453381552 714278755288036 734237793039842 790717623273676 818957538390593 839128906331248 903677283741344 935951472446392 1082034642374504 1120678736745022 1206884793417716 1236611019856576 1249987821754063 1280775699137168 1379296906763104 1428557510576072 1468475586079684 1520921142725387 1581435246547352 1637915076781186 1678257812662496 1807354567482688 1871902944892784 2164069284749008 2241357473490044 2321405954686117 2413769586835432 2499975643508126 2561551398274336 2569832275639447 2758593813526208 2857115021152144 2936951172159368 3041842285450774 3162870493094704 3275830153562372 3356515625324992 3392824087618171 3743805889785568 3922375578607577 4328138569498016 4482714946980088 4642811909372234 4827539173670864 4999951287016252 5123102796548672 5139664551278894 5714230042304288 5732702768734151 5873902344318736 6083684570901548 6325740986189408 6551660307124744 6785648175236342 7487611779571136 7844751157215154 8656277138996032 8749914752278441 8965429893960176 9285623818744468 9655078347341728 9999902574032504 10279329102557788 10646447999077709 11428460084608576 11465405537468302 11747804688637472 12167369141803096 12651481972378816 13103320614249488 13571296350472684 15689502314430308 16249841682802819 17499829504556882 17930859787920352 18571247637488936 19310156694683456 19999805148065008 20558658205115576 21292895998155418 22930811074936604 23495609377274944 23749768613327197 24334738283606192 26206641228498976 27142592700945368 31379004628860616 32499683365605638 34999659009113764 35861719575840704 37142495274977872 39999610296130016 41117316410231152 42585791996310836 44106713139036223 45861622149873208 47499537226654394 48669476567212384 52413282456997952 54285185401890736 62758009257721232 64999366731211276 69999318018227528 74284990549955744 74525135993543963 79999220592260032 82234632820462304 85171583992621672 88213426278072446 91723244299746416 94999074453308788 97338953134424768 108570370803781472 113748891779619733 125516018515442464 129998733462422552 139998636036455056 148569981099911488 149050271987087926 164469265640924608 166248380293290379 170343167985243344 176426852556144892 183446488599492832 189998148906617576 217140741607562944 227497783559239466 251032037030884928 259997466924845104 279997272072910112 298100543974175852 308746991973253561 332496760586580758 340686335970486688 352853705112289784 366892977198985664 379996297813235152 454995567118478932 519994933849690208 559994544145820224 596201087948351704 617493983946507122 664993521173161516 681372671940973376 705707410224579568 759992595626470304 909991134236957864 1039989867699380416 1192402175896703408 1234987967893014244 1329987042346323032 1411414820449159136 1519985191252940608 1819982268473915728 2161228943812774927 2384804351793406816 2469975935786028488 2659974084692646064 2822829640898318272 3639964536947831456 4322457887625549854 4769608703586813632 4939951871572056976 5319948169385292128 7279929073895662912 8644915775251099708 9879903743144113952 10639896338770584256 17289831550502199416 19759807486288227904 34579663101004398832 69159326202008797664 138318652404017595328
- Sum of all divisors σ(n): 374858576366093306760
- Sum of proper divisors (its aliquot sum) s(n): 236539923962075711432
- 138318652404017595328 is an abundant number, because the sum of its proper divisors (236539923962075711432) is greater than itself. Its abundance is 98221271558058116104
Bases of 138318652404017595328
- Binary: 11101111111100011101001000110000100100100000011001100000011110000002
- Hexadecimal: 0x77F8E9184903303C0
- Base-36: T6VOU4X7EDKN4
Squares and roots of 138318652404017595328
- 138318652404017595328 squared (1383186524040175953282) is 19132049602863442503331133046619567427584
- 138318652404017595328 cubed (1383186524040175953283) is 2646319318794891381385173255996904726619398648092042456727552
-
The
square root of 138318652404017595328 is 11760895051.1437519301 -
The
cube root of 138318652404017595328 is 5171623.6920779347
Scales and comparisons
How big is 138318652404017595328?- 138,318,652,404,017,595,328 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,318,652,404,017,595,328 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 138318652404017595328 cubic inches would be around 430968.6 feet tall.
Recreational maths with 138318652404017595328
- 138318652404017595328 backwards is 823595710404256813831
- The number of decimal digits it has is: 21
- The sum of 138318652404017595328's digits is 85
- More coming soon!
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The information we have on file for 138318652404017595328 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 138318652404017595328, math, Factors of 138318652404017595328, curriculum, school, college, exams, university, Prime factorization of 138318652404017595328, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred eighteen quadrillion, six hundred fifty-two trillion, four hundred four billion, seventeen million, five hundred ninety-five thousand, three hundred twenty-eight.