138073435542257664
138,073,435,542,257,664 is an even composite number composed of five prime numbers multiplied together.
138073435542257664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138073435542257664:
217 × 3 × 174 × 373 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 17 × 17 × 17 × 17 × 37 × 37 × 37 × 83)See below for interesting mathematical facts about the number 138073435542257664 from the Numbermatics database.
Names of 138073435542257664
- Cardinal: 138073435542257664 can be written as One hundred thirty-eight quadrillion, seventy-three trillion, four hundred thirty-five billion, five hundred forty-two million, two hundred fifty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.38073435542257664 × 1017
Factors of 138073435542257664
Divisors of 138073435542257664
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 83 96 102 111 128 136 148 166 192 204 222 249 256 272 289 296 332 384 408 444 498 512 544 578 592 629 664 768 816 867 888 996 1024 1088 1156 1184 1258 1328 1369 1411 1536 1632 1734 1776 1887 1992 2048 2176 2312 2368 2516 2656 2738 2822 3071 3072 3264 3468 3552 3774 3984 4096 4107 4233 4352 4624 4736 4913 5032 5312 5476 5644 6142 6144 6528 6936 7104 7548 7968 8192 8214 8466 8704 9213 9248 9472 9826 10064 10624 10693 10952 11288 12284 12288 13056 13872 14208 14739 15096 15936 16384 16428 16932 17408 18426 18496 18944 19652 20128 21248 21386 21904 22576 23273 23987 24568 24576 26112 27744 28416 29478 30192 31872 32079 32768 32856 33864 34816 36852 36992 37888 39304 40256 42496 42772 43808 45152 46546 47974 49136 49152 50653 52207 52224 55488 56832 58956 60384 63744 64158 65536 65712 67728 69632 69819 71961 73704 73984 75776 78608 80512 83521 84992 85544 87616 90304 93092 95948 98272 98304 101306 104414 104448 110976 113627 113664 117912 120768 127488 128316 131072 131424 135456 139264 139638 143922 147408 147968 151552 151959 156621 157216 161024 167042 169984 171088 175232 180608 181781 186184 191896 196544 196608 202612 208828 208896 221952 227254 227328 235824 241536 250563 254976 256632 262848 270912 278528 279276 287844 294816 295936 303104 303918 313242 314432 322048 334084 339968 340881 342176 350464 361216 363562 372368 383792 393088 393216 395641 405224 407779 417656 417792 443904 454508 454656 471648 483072 501126 509952 513264 525696 541824 545343 557056 558552 575688 589632 591872 606208 607836 626484 628864 644096 668168 679936 681762 684352 700928 722432 727124 744736 767584 786176 791282 810448 815558 835312 835584 861101 887519 887808 909016 909312 943296 966144 1002252 1019904 1026528 1051392 1083648 1090686 1114112 1117104 1151376 1179264 1183744 1186923 1212416 1215672 1223337 1252968 1257728 1288192 1336336 1359872 1363524 1368704 1401856 1444864 1454248 1489472 1535168 1572352 1582564 1620896 1631116 1670624 1671168 1722202 1775038 1775616 1818032 1818624 1886592 1931659 1932288 2004504 2039808 2053056 2102784 2167296 2181372 2228224 2234208 2302752 2358528 2367488 2373846 2424832 2431344 2446674 2505936 2515456 2576384 2583303 2662557 2672672 2719744 2727048 2737408 2803712 2889728 2908496 2978944 3070336 3090277 3144704 3165128 3241792 3262232 3341248 3342336 3444404 3550076 3551232 3636064 3637248 3773184 3863318 3864576 4009008 4079616 4106112 4204199 4205568 4334592 4362744 4468416 4605504 4717056 4734976 4747692 4849664 4862688 4893348 5011872 5030912 5152768 5166606 5325114 5345344 5439488 5454096 5474816 5607424 5779456 5794977 5816992 5957888 6140672 6180554 6289408 6330256 6483584 6524464 6682496 6684672 6725897 6888808 6932243 7100152 7102464 7272128 7274496 7546368 7726636 7729152 8018016 8159232 8212224 8408398 8411136 8669184 8725488 8936832 9211008 9270831 9434112 9469952 9495384 9725376 9786696 10023744 10061824 10305536 10333212 10650228 10690688 10878976 10908192 10949632 11214848 11558912 11589954 11633984 11915776 12281344 12361108 12578816 12612597 12660512 12967168 13048928 13364992 13451794 13777616 13864486 14200304 14204928 14544256 14548992 14638717 15087823 15092736 15453272 15458304 16036032 16318464 16424448 16816796 16822272 17338368 17450976 17873664 18422016 18541662 18868224 18939904 18990768 19450752 19573392 20047488 20123648 20177691 20611072 20666424 20796729 21300456 21381376 21816384 21899264 22429696 23117824 23179908 23267968 23831552 24562688 24722216 25157632 25225194 25321024 25934336 26097856 26729984 26903588 27555232 27728972 28400608 28409856 29088512 29277434 30175646 30185472 30906544 30916608 32072064 32636928 32838203 32848896 33633592 33644544 34676736 34901952 35747328 36844032 37083324 37736448 37879808 37981536 38901504 39146784 40094976 40247296 40355382 41222144 41332848 41593458 42600912 42762752 43632768 43798528 43916151 44859392 45263469 46235648 46359816 46535936 47663104 49125376 49444432 50315264 50450388 50642048 51868672 52195712 53459968 53807176 55110464 55457944 56801216 56819712 58177024 58554868 60351292 60370944 61813088 61833216 64144128 65676406 65697792 67267184 67289088 69353472 69803904 71471383 71494656 73688064 74166648 75472896 75963072 77803008 78293568 80189952 80494592 80710764 82444288 82665696 83186916 85201824 85525504 87265536 87597056 87832302 89718784 90526938 92471296 92719632 93071872 95326208 98250752 98514609 98888864 100630528 100900776 101284096 103737344 104391424 106919936 107614352 110220928 110915888 113602432 113639424 114340249 116354048 117109736 120702584 120741888 123626176 123666432 128288256 131352812 131395584 134534368 134578176 138706944 139607808 142942766 142989312 147376128 148333296 150945792 151926144 155606016 156587136 160379904 160989184 161421528 165331392 166373832 170403648 171051008 174531072 175194112 175664604 179437568 181053876 184942592 185439264 186143744 190652416 196501504 197029218 197777728 201261056 201801552 202568192 207474688 208782848 213839872 214414149 215228704 220441856 221831776 227204864 228680498 232708096 234219472 241405168 241483776 247252352 247332864 248858189 256492991 256576512 262705624 262791168 269068736 269156352 277413888 279215616 285885532 285978624 294752256 296666592 301891584 303852288 311212032 313174272 320759808 321978368 322843056 330662784 332747664 340807296 342102016 343020747 349062144 350388224 351329208 362107752 370878528 372287488 381304832 393003008 394058436 395555456 402522112 403603104 405136384 414949376 417565696 427679744 428828298 430457408 440883712 443663552 454409728 457360996 465416192 468438944 482810336 482967552 494504704 497716378 512985982 513153024 525411248 525582336 538137472 538312704 554827776 558249451 558431232 571771064 571957248 589504512 593333184 603783168 607704576 622424064 626348544 641519616 643956736 645686112 661325568 665495328 681614592 684204032 686041494 698124288 700776448 702658416 724215504 741757056 744574976 746574567 762609664 769478973 786006016 788116872 791110912 807206208 810272768 829898752 835131392 855359488 857656596 860914816 881767424 887327104 908819456 914721992 930832384 936877888 965620672 965935104 989009408 995432756 1025971964 1026306048 1050822496 1051164672 1076274944 1116498902 1116862464 1143542128 1143914496 1179009024 1186666368 1207566336 1215013511 1215409152 1244848128 1252697088 1283039232 1291372224 1322651136 1330990656 1363229184 1368408064 1372082988 1396248576 1401552896 1405316832 1448431008 1483514112 1489149952 1493149134 1525219328 1538957946 1572012032 1576233744 1582221824 1614412416 1620545536 1659797504 1670262784 1674748353 1710718976 1715313192 1721829632 1763534848 1774654208 1817638912 1829443984 1861664768 1873755776 1931241344 1931870208 1978018816 1990865512 2051943928 2052612096 2101644992 2102329344 2152549888 2232997804 2233724928 2287084256 2287828992 2358018048 2373332736 2430027022 2430818304 2489696256 2505394176 2566078464 2582744448 2645302272 2661981312 2726458368 2736816128 2744165976 2792497152 2810633664 2896862016 2967028224 2978299904 2986298268 3050438656 3077915892 3144024064 3152467488 3164443648 3228824832 3241091072 3319595008 3340525568 3349496706 3421437952 3430626384 3443659264 3527069696 3549308416 3635277824 3645040533 3658887968 3723329536 3747511552 3862482688 3956037632 3981731024 4103887856 4105224192 4203289984 4204658688 4230589213 4305099776 4465995608 4467449856 4574168512 4575657984 4716036096 4746665472 4860054044 4861636608 4979392512 5010788352 5132156928 5165488896 5290604544 5323962624 5452916736 5473632256 5488331952 5584994304 5621267328 5793724032 5934056448 5956599808 5972596536 6155831784 6304934976 6328887296 6457649664 6482182144 6639190016 6681051136 6698993412 6842875904 6861252768 6887318528 7054139392 7098616832 7270555648 7290081066 7317775936 7446659072 7495023104 7724965376 7912075264 7963462048 8207775712 8210448384 8406579968 8461178426 8610199552 8931991216 8934899712 9148337024 9151315968 9432072192 9490240667 9493330944 9720108088 9723273216 9958785024 10021576704 10264313856 10330977792 10581209088 10647925248 10905833472 10947264512 10976663904 11169988608 11242534656 11587448064 11868112896 11913199616 11945193072 12311663568 12609869952 12657774592 12691767639 12915299328 12964364288 13362102272 13397986824 13722505536 13774637056 14108278784 14197233664 14541111296 14580162132 14635551872 14893318144 14990046208 15449930752 15824150528 15926924096 16415551424 16420896768 16813159936 16922356852 17220399104 17863982432 17869799424 18296674048 18980481334 18986661888 19440216176 19446546432 19917570048 20043153408 20528627712 20655229687 20661955584 21162418176 21295850496 21811666944 21953327808 22339977216 22485069312 23174896128 23736225792 23826399232 23890386144 24623327136 25219739904 25315549184 25383535278 25830598656 25928728576 26724204544 26795973648 27445011072 27549274112 28216557568 28394467328 28470722001 29082222592 29160324264 29271103744 29980092416 30899861504 31648301056 31853848192 32831102848 32841793536 33626319872 33844713704 34440798208 35727964864 35739598848 36593348096 37960962668 37973323776 38880432352 38893092864 40086306816 41310459374 41323911168 42324836352 42591700992 43623333888 43906655616 44679954432 44970138624 46349792256 47472451584 47780772288 49246654272 50439479808 50631098368 50767070556 51661197312 51857457152 53448409088 53591947296 54890022144 55098548224 56433115136 56788934656 56941444002 58164445184 58320648528 58542207488 59960184832 61799723008 61965689061 63296602112 63707696384 65662205696 67252639744 67689427408 68881596416 71455929728 71479197696 73186696192 75921925336 75946647552 77760864704 77786185728 80172613632 82620918748 82647822336 84649672704 85183401984 87246667776 87813311232 89940277248 92699584512 94944903168 95561544576 98493308544 100878959616 101262196736 101534141112 103322394624 107183894592 109780044288 110197096448 112866230272 113577869312 113882888004 116328890368 116641297056 117084414976 119920369664 123599446016 123931378122 126593204224 127415392768 131324411392 134505279488 135378854816 137763192832 142911859456 146373392384 151843850672 151893295104 155521729408 155572371456 160345227264 165241837496 165295644672 169299345408 170366803968 174493335552 175626622464 179880554496 185399169024 189889806336 191123089152 196986617088 201757919232 202524393472 203068282224 206644789248 214367789184 219560088576 220394192896 227155738624 227765776008 233282594112 234168829952 239840739328 247198892032 247862756244 253186408448 254830785536 262648822784 269010558976 270757709632 275526385664 285823718912 292746784768 303687701344 303786590208 311043458816 330483674992 330591289344 338598690816 340733607936 348986671104 351138904679 351253244928 359761108992 370798338048 379779612672 382246178304 393973234176 403515838464 405048786944 406136564448 413289578496 428735578368 439120177152 440788385792 454311477248 455531552016 466565188224 468337659904 479681478656 494397784064 495725512488 509661571072 525297645568 538021117952 541515419264 551052771328 571647437824 585493569536 607375402688 607573180416 622086917632 660967349984 661182578688 681467215872 702277809358 702506489856 719522217984 741596676096 759559225344 764492356608 787946468352 807031676928 812273128896 826579156992 857471156736 878240354304 881576771584 908622954496 911063104032 933130376448 936675319808 959362957312 988795568128 991451024976 1019323142144 1050595291136 1053416714037 1076042235904 1083030838528 1143294875648 1170987139072 1214750805376 1215146360832 1244173835264 1321934699968 1322365157376 1362934431744 1404555618716 1405012979712 1439044435968 1483193352192 1528984713216 1575892936704 1614063353856 1624546257792 1653158313984 1714942313472 1756480708608 1822126208064 1866260752896 1873350639616 1918725914624 1977591136256 1982902049952 2038646284288 2101190582272 2106833428074 2152084471808 2166061677056 2286589751296 2341974278144 2429501610752 2488347670528 2643869399936 2644730314752 2725868863488 2809111237432 2810025959424 2878088871936 2966386704384 3057969426432 3151785873408 3228126707712 3249092515584 3429884626944 3512961417216 3644252416128 3732521505792 3746701279232 3965804099904 4077292568576 4202381164544 4213666856148 4304168943616 4332123354112 4573179502592 4683948556288 4859003221504 4976695341056 5287738799872 5618222474864 5620051918848 5756177743872 5932773408768 6115938852864 6303571746816 6456253415424 6498185031168 6859769253888 7025922834432 7288504832256 7465043011584 7493402558464 7931608199808 8154585137152 8404762329088 8427333712296 8664246708224 9146359005184 9367897112576 9718006443008 9953390682112 10575477599744 11236444949728 11240103837696 12231877705728 12607143493632 12912506830848 12996370062336 13719538507776 14051845668864 14577009664512 14930086023168 14986805116928 15863216399616 16309170274304 16809524658176 16854667424592 17328493416448 18292718010368 19436012886016 19906781364224 21150955199488 22472889899456 22480207675392 24463755411456 25214286987264 25992740124672 27439077015552 28103691337728 29154019329024 29860172046336 31726432799232 32618340548608 33619049316352 33709334849184 34656986832896 36585436020736 38872025772032 39813562728448 42301910398976 44945779798912 44960415350784 48927510822912 50428573974528 51985480249344 54878154031104 58308038658048 59720344092672 63452865598464 67418669698368 69313973665792 73170872041472 77744051544064 79627125456896 84603820797952 89891559597824 97855021645824 100857147949056 103970960498688 109756308062208 116616077316096 119440688185344 126905731196928 134837339396736 138627947331584 155488103088128 159254250913792 169207641595904 179783119195648 207941920997376 219512616124416 233232154632192 238881376370688 253811462393856 269674678793472 277255894663168 310976206176256 338415283191808 359566238391296 415883841994752 466464309264384 477762752741376 507622924787712 539349357586944 554511789326336 621952412352512 676830566383616 719132476782592 831767683989504 932928618528768 1015245849575424 1078698715173888 1243904824705024 1353661132767232 1438264953565184 1663535367979008 1865857237057536 2030491699150848 2157397430347776 2707322265534464 2876529907130368 3731714474115072 4060983398301696 4314794860695552 5753059814260736 8121966796603392 8629589721391104 11506119628521472 17259179442782208 23012239257042944 34518358885564416 46024478514085888 69036717771128832 138073435542257664
- Sum of all divisors σ(n): 406917178749910080
- Sum of proper divisors (its aliquot sum) s(n): 268843743207652416
- 138073435542257664 is an abundant number, because the sum of its proper divisors (268843743207652416) is greater than itself. Its abundance is 130770307665394752
Bases of 138073435542257664
- Binary: 1111010101000100100001110110111100110101000000000000000002
- Hexadecimal: 0x1EA890EDE6A0000
- Base-36: 11RIY4MJEC5C
Squares and roots of 138073435542257664
- 138073435542257664 squared (1380734355422576642) is 19064273602441981941155054166736896
- 138073435542257664 cubed (1380734355422576643) is 2632269752406737304340300019353351106205975727570944
-
The
square root of 138073435542257664 is 371582340.1915888467 -
The
cube root of 138073435542257664 is 516856.5730216167
Scales and comparisons
How big is 138073435542257664?- 138,073,435,542,257,664 seconds is equal to 4,390,308,161 years, 3 weeks, 2 days, 23 hours, 34 minutes, 24 seconds.
-
To count from 1 to 138,073,435,542,257,664 would take you about thirteen billion, one hundred seventy million, nine hundred twenty-four thousand, four hundred eighty-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 138073435542257664 cubic inches would be around 43071.4 feet tall.
Recreational maths with 138073435542257664
- 138073435542257664 backwards is 466752245534370831
- The number of decimal digits it has is: 18
- The sum of 138073435542257664's digits is 75
- 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 138073435542257664 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 138073435542257664 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138073435542257664/
Chicago style:
Numbermatics. 2024. "Number 138073435542257664 - Facts about the integer". https://numbermatics.com/n/138073435542257664/
The information we have on file for 138073435542257664 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 138073435542257664, math, Factors of 138073435542257664, curriculum, school, college, exams, university, Prime factorization of 138073435542257664, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventy-three trillion, four hundred thirty-five billion, five hundred forty-two million, two hundred fifty-seven thousand, six hundred sixty-four.