138691376707793846272
138,691,376,707,793,846,272 is an even composite number composed of five prime numbers multiplied together.
138691376707793846272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 138691376707793846272:
220 × 7 × 412 × 972 × 10932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 41 × 41 × 97 × 97 × 1093 × 1093)See below for interesting mathematical facts about the number 138691376707793846272 from the Numbermatics database.
Names of 138691376707793846272
- Cardinal: 138691376707793846272 can be written as One hundred thirty-eight quintillion, six hundred ninety-one quadrillion, three hundred seventy-six trillion, seven hundred seven billion, seven hundred ninety-three million, eight hundred forty-six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.38691376707793846272 × 1020
Factors of 138691376707793846272
Divisors of 138691376707793846272
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 41 56 64 82 97 112 128 164 194 224 256 287 328 388 448 512 574 656 679 776 896 1024 1093 1148 1312 1358 1552 1681 1792 2048 2186 2296 2624 2716 3104 3362 3584 3977 4096 4372 4592 5248 5432 6208 6724 7168 7651 7954 8192 8744 9184 9409 10496 10864 11767 12416 13448 14336 15302 15908 16384 17488 18368 18818 20992 21728 23534 24832 26896 27839 28672 30604 31816 32768 34976 36736 37636 41984 43456 44813 47068 49664 53792 55678 57344 61208 63632 65536 65863 69952 73472 75272 83968 86912 89626 94136 99328 106021 107584 111356 114688 122416 127264 131072 131726 139904 146944 150544 163057 167936 173824 179252 188272 198656 212042 215168 222712 229376 244832 254528 262144 263452 279808 293888 301088 313691 326114 335872 347648 358504 376544 385769 397312 424084 430336 445424 458752 489664 509056 524288 526904 559616 587776 602176 627382 652228 671744 695296 717008 742147 753088 771538 794624 848168 860672 890848 917504 979328 1018112 1048576 1053808 1119232 1141399 1175552 1194649 1204352 1254764 1304456 1343488 1390592 1434016 1484294 1506176 1543076 1589248 1696336 1721344 1781696 1835008 1837333 1958656 2036224 2107616 2238464 2282798 2351104 2389298 2408704 2509528 2608912 2686976 2700383 2781184 2868032 2968588 3012352 3086152 3178496 3392672 3442688 3563392 3670016 3674666 3917312 4072448 4215232 4346861 4476928 4565596 4702208 4778596 4817408 5019056 5217824 5373952 5400766 5562368 5736064 5937176 6024704 6172304 6356992 6785344 6885376 7126784 7340032 7349332 7834624 8144896 8362543 8430464 8693722 8953856 9131192 9404416 9557192 9634816 10038112 10284037 10435648 10747904 10801532 11124736 11472128 11874352 12049408 12344608 12713984 12861331 13570688 13770752 14253568 14698664 15669248 15816529 16289792 16725086 16860928 17387444 17907712 18262384 18808832 19114384 19269632 20076224 20568074 20871296 21495808 21603064 22249472 22944256 23748704 24098816 24689216 25427968 25722662 27141376 27541504 28507136 29397328 30428027 31338496 31633058 32579584 33450172 33721856 34774888 35815424 36524768 37617664 38228768 38539264 40152448 41136148 41742592 42991616 43206128 44498944 45888512 47497408 48197632 48980609 49378432 50855936 51445324 54282752 55083008 57014272 58794656 60856054 62676992 63266116 65159168 66900344 67443712 69549776 71630848 71988259 73049536 75235328 76457536 77078528 80304896 82272296 83485184 86412256 88997888 91777024 94994816 96395264 97961218 98756864 101711872 102890648 108565504 110166016 110715703 114028544 115880953 117589312 121712108 125353984 126532232 130318336 133800688 134887424 139099552 143261696 143976518 146099072 150470656 152915072 154157056 160609792 164544592 166970368 172824512 177995776 178221301 183554048 189989632 192790528 195922436 197513728 205781296 217131008 220332032 221431406 228057088 231761906 235178624 243424216 250707968 253064464 260636672 267601376 269774848 278199104 286523392 287953036 292198144 300941312 305830144 308314112 321219584 329089184 333940736 342864263 345649024 355991552 356442602 367108096 379979264 385581056 391844872 395027456 411562592 421645517 434262016 440664064 442862812 456114176 463523812 470357248 486848432 501415936 506128928 521273344 535202752 539549696 556398208 573046784 575906072 584396288 611660288 616628224 642439168 658178368 667881472 685728526 691298048 711983104 712885204 734216192 759958528 771162112 783689744 790054912 811166671 823125184 843291034 868524032 881328128 885725624 912228352 927047624 940714496 973696864 1002831872 1012257856 1042546688 1070405504 1079099392 1112796416 1146093568 1151812144 1168792576 1223320576 1233256448 1247549107 1284878336 1316356736 1335762944 1371457052 1382596096 1425770408 1468432384 1519917056 1542324224 1567379488 1580109824 1622333342 1646250368 1686582068 1737048064 1762656256 1771451248 1824456704 1854095248 1881428992 1947393728 2005663744 2008204969 2024515712 2085093376 2140811008 2158198784 2225592832 2303624288 2337585152 2446641152 2466512896 2495098214 2569756672 2632713472 2671525888 2742914104 2765192192 2851540816 2936864768 2951518619 3039834112 3084648448 3134758976 3160219648 3244666684 3292500736 3373164136 3474096128 3542902496 3648913408 3708190496 3762857984 3894787456 4011327488 4016409938 4049031424 4170186752 4281622016 4316397568 4451185664 4607248576 4675170304 4751119073 4893282304 4933025792 4990196428 5139513344 5265426944 5343051776 5485828208 5530384384 5703081632 5873729536 5903037238 6079668224 6169296896 6269517952 6320439296 6489333368 6585001472 6746328272 6948192256 7085804992 7297826816 7416380992 7525715968 7789574912 8022654976 8032819876 8098062848 8563244032 8632795136 8902371328 9214497152 9350340608 9502238146 9786564608 9866051584 9980392856 10279026688 10530853888 10686103552 10971656416 11060768768 11240452441 11406163264 11747459072 11806074476 12159336448 12338593792 12539035904 12640878592 12978666736 13170002944 13492656544 13896384512 14057434783 14171609984 14595653632 14832761984 15051431936 15579149824 16065639752 16196125696 17126488064 17265590272 17287466197 17804742656 18428994304 18700681216 19004476292 19573129216 19960785712 20558053376 21061707776 21372207104 21943312832 22121537536 22480904882 22812326528 23494918144 23612148952 24318672896 25078071808 25281757184 25957333472 26340005888 26985313088 27792769024 28114869566 28343219968 29191307264 29665523968 30102863872 31158299648 32131279504 32392251392 33257833511 34252976128 34531180544 34574932394 35609485312 36857988608 37401362432 38008952584 39146258432 39921571424 41116106752 42123415552 42744414208 43886625664 44243075072 44961809764 45624653056 46989836288 47224297904 48637345792 50156143616 50563514368 51914666944 52680011776 53970626176 55585538048 56229739132 56686439936 59331047936 60205727744 62316599296 64262559008 64784502784 66515667022 68505952256 69062361088 69149864788 71218970624 73715977216 74802724864 76017905168 78292516864 78683167087 79843142848 82232213504 84246831104 85488828416 87773251328 88486150144 89923619528 91249306112 94448595808 97274691584 100312287232 101127028736 103829333888 105360023552 107941252352 111171076096 112459478264 113372879872 118662095872 120411455488 121012263379 124633198592 128525118016 129569005568 133031334044 137011904512 138299729576 142437941248 147431954432 149605449728 152035810336 156585033728 157366334174 159686285696 164464427008 168493662208 170977656832 175546502656 176972300288 179847239056 182498612224 188897191616 194549383168 194795881993 200624574464 202254057472 207658667776 210720047104 215882504704 224918956528 226745759744 237324191744 240822910976 242024526758 249266397184 257050236032 259138011136 266062668088 274023809024 276599459152 284875882496 294863908864 299210899456 304071620672 313170067456 314732668348 319372571392 328928854016 336987324416 351093005312 353944600576 359694478112 364997224448 377794383232 389098766336 389591763986 401249148928 404508114944 415317335552 421440094208 431765009408 449837913056 453491519488 460858550081 474648383488 481645821952 484049053516 498532794368 514100472064 518276022272 532125336176 548047618048 553198918304 569751764992 589727817728 598421798912 608143241344 626340134912 629465336696 638745142784 673974648832 702186010624 707889201152 719388956224 729994448896 755588766464 778197532672 779183527972 802498297856 830634671104 842880188416 863530018816 899675826112 906983038976 921717100162 949296766976 963291643904 968098107032 997065588736 1028200944128 1036552044544 1064250672352 1096095236096 1106397836608 1139503529984 1179455635456 1196843597824 1216286482688 1252680269824 1258930673392 1277490285568 1347949297664 1363571173951 1404372021248 1415778402304 1438777912448 1459988897792 1511177532928 1558367055944 1604996595712 1661269342208 1685760376832 1727060037632 1799351652224 1813966077952 1843434200324 1898593533952 1926583287808 1936196214064 1994131177472 2056401888256 2073104089088 2128501344704 2192190472192 2212795673216 2279007059968 2358911270912 2432572965376 2517861346784 2554980571136 2695898595328 2727142347902 2808744042496 2831556804608 2877555824896 2919977795584 3022355065856 3116734111888 3209993191424 3226009850567 3322538684416 3371520753664 3454120075264 3598703304448 3627932155904 3686868400648 3797187067904 3872392428128 3988262354944 4112803776512 4146208178176 4257002689408 4384380944384 4425591346432 4558014119936 4717822541824 4865145930752 5035722693568 5109961142272 5391797190656 5454284695804 5617488084992 5755111649792 5839955591168 6044710131712 6233468223776 6419986382848 6452019701134 6645077368832 6743041507328 6908240150528 7197406608896 7255864311808 7373736801296 7594374135808 7744784856256 7976524709888 8225607553024 8292416356352 8514005378816 8768761888768 8851182692864 9435645083648 9730291861504 10071445387136 10219922284544 10783594381312 10908569391608 11234976169984 11510223299584 11679911182336 12089420263424 12466936447552 12839972765696 12904039402268 13290154737664 13486083014656 13816480301056 14394813217792 14511728623616 14747473602592 15188748271616 15489569712512 15953049419776 16451215106048 16584832712704 17028010757632 17702365385728 18871290167296 18895200553321 19460583723008 20142890774272 20439844569088 21817138783216 22469952339968 23020446599168 23359822364672 24178840526848 24933872895104 25679945531392 25808078804536 26580309475328 27632960602112 28789626435584 29023457247232 29494947205184 30377496543232 30979139425024 31906098839552 32902430212096 34056021515264 35404730771456 37742580334592 37790401106642 38921167446016 40285781548544 40879689138176 43634277566432 44939904679936 46040893198336 46719644729344 48357681053696 49867745790208 51359891062784 51616157609072 53160618950656 55265921204224 57579252871168 58046914494464 58989894410368 60754993086464 61958278850048 65804860424192 68112043030528 70809461542912 75485160669184 75580802213284 77842334892032 80571563097088 81759378276352 87268555132864 89879809359872 92081786396672 93439289458688 96715362107392 99735491580416 103232315218144 106321237901312 110531842408448 115158505742336 116093828988928 117979788820736 121509986172928 123916557700096 131609720848384 132266403873247 136224086061056 141618923085824 151161604426568 155684669784064 161143126194176 163518756552704 174537110265728 179759618719744 184163572793344 186878578917376 193430724214784 199470983160832 206464630436288 212642475802624 221063684816896 230317011484672 235959577641472 247833115400192 263219441696768 264532807746494 272448172122112 283237846171648 302323208853136 311369339568128 322286252388352 327037513105408 349074220531456 359519237439488 368327145586688 386861448429568 398941966321664 412929260872576 425284951605248 442127369633792 460634022969344 471919155282944 495666230800384 526438883393536 529065615492988 544896344244224 566475692343296 604646417706272 622738679136256 644572504776704 654075026210816 698148441062912 736654291173376 773722896859136 797883932643328 825858521745152 850569903210496 921268045938688 943838310565888 991332461600768 1052877766787072 1058131230985976 1089792688488448 1132951384686592 1209292835412544 1245477358272512 1289145009553408 1308150052421632 1396296882125824 1473308582346752 1547445793718272 1595767865286656 1651717043490304 1842536091877376 1887676621131776 1982664923201536 2105755533574144 2116262461971952 2179585376976896 2265902769373184 2418585670825088 2490954716545024 2578290019106816 2792593764251648 2946617164693504 3094891587436544 3191535730573312 3303434086980608 3685072183754752 3775353242263552 3965329846403072 4232524923943904 4359170753953792 4531805538746368 4837171341650176 4981909433090048 5156580038213632 5585187528503296 5893234329387008 6383071461146624 6606868173961216 7370144367509504 7550706484527104 7930659692806144 8465049847887808 8718341507907584 9063611077492736 9674342683300352 10313160076427264 11170375057006592 11786468658774016 12766142922293248 13213736347922432 14740288735019008 15101412969054208 15861319385612288 16930099695775616 17436683015815168 18127222154985472 19348685366600704 20626320152854528 22340750114013184 25532285844586496 26427472695844864 30202825938108416 31722638771224576 33860199391551232 34873366031630336 38697370733201408 41252640305709056 44681500228026368 51064571689172992 52854945391689728 60405651876216832 63445277542449152 67720398783102464 77394741466402816 82505280611418112 89363000456052736 102129143378345984 105709890783379456 120811303752433664 126890555084898304 135440797566204928 154789482932805632 178726000912105472 204258286756691968 211419781566758912 241622607504867328 270881595132409856 309578965865611264 357452001824210944 422839563133517824 483245215009734656 541763190264819712 619157931731222528 714904003648421888 845679126267035648 1083526380529639424 1238315863462445056 1429808007296843776 1691358252534071296 2167052761059278848 2476631726924890112 3382716505068142592 4334105522118557696 4953263453849780224 8668211044237115392 9906526907699560448 17336422088474230784 19813053815399120896 34672844176948461568 69345688353896923136 138691376707793846272
- Sum of all divisors σ(n): 328614185787894050184
- Sum of proper divisors (its aliquot sum) s(n): 189922809080100203912
- 138691376707793846272 is an abundant number, because the sum of its proper divisors (189922809080100203912) is greater than itself. Its abundance is 51231432372306357640
Bases of 138691376707793846272
- Binary: 11110000100101110101100000001001100000111011111000000000000000000002
- Hexadecimal: 0x784BAC04C1DF00000
- Base-36: T9PMTVIJIEXOG
Squares and roots of 138691376707793846272
- 138691376707793846272 squared (1386913767077938462722) is 19235297973103181428564429364511568297984
- 138691376707793846272 cubed (1386913767077938462723) is 2667769957274316758875952800062372042437882610252915983515648
-
The
square root of 138691376707793846272 is 11776730306.3199102145 -
The
cube root of 138691376707793846272 is 5176264.8135807015
Scales and comparisons
How big is 138691376707793846272?- 138,691,376,707,793,846,272 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,691,376,707,793,846,272 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 138691376707793846272 cubic inches would be around 431355.4 feet tall.
Recreational maths with 138691376707793846272
- 138691376707793846272 backwards is 272648397707673196831
- The number of decimal digits it has is: 21
- The sum of 138691376707793846272's digits is 106
- 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 138691376707793846272 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138691376707793846272 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138691376707793846272/
Chicago style:
Numbermatics. 2024. "Number 138691376707793846272 - Facts about the integer". https://numbermatics.com/n/138691376707793846272/
The information we have on file for 138691376707793846272 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 138691376707793846272, math, Factors of 138691376707793846272, curriculum, school, college, exams, university, Prime factorization of 138691376707793846272, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, six hundred ninety-one quadrillion, three hundred seventy-six trillion, seven hundred seven billion, seven hundred ninety-three million, eight hundred forty-six thousand, two hundred seventy-two.