138348158298476672
138,348,158,298,476,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 138348158298476672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
138348158298476672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138348158298476672:
27 × 76 × 132 × 732 × 1012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 7 × 7 × 13 × 13 × 73 × 73 × 101 × 101)See below for interesting mathematical facts about the number 138348158298476672 from the Numbermatics database.
Names of 138348158298476672
- Cardinal: 138348158298476672 can be written as One hundred thirty-eight quadrillion, three hundred forty-eight trillion, one hundred fifty-eight billion, two hundred ninety-eight million, four hundred seventy-six thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.38348158298476672 × 1017
Factors of 138348158298476672
Divisors of 138348158298476672
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 73 91 98 101 104 112 128 146 169 182 196 202 208 224 292 338 343 364 392 404 416 448 511 584 637 676 686 707 728 784 808 832 896 949 1022 1168 1183 1274 1313 1352 1372 1414 1456 1568 1616 1664 1898 2044 2336 2366 2401 2548 2626 2704 2744 2828 2912 3136 3232 3577 3796 4088 4459 4672 4732 4802 4949 5096 5252 5329 5408 5488 5656 5824 6272 6464 6643 7154 7373 7592 8176 8281 8918 9191 9344 9464 9604 9898 10192 10201 10504 10658 10816 10976 11312 11648 12337 12928 13286 14308 14746 15184 16352 16562 16807 17069 17836 18382 18928 19208 19796 20384 20402 21008 21316 21632 21952 22624 24674 25039 26572 28616 29492 30368 31213 32704 33124 33614 34138 34643 35672 36764 37303 37856 38416 39592 40768 40804 42016 42632 43904 45248 46501 49348 50078 51611 53144 57232 57967 58984 60736 62426 64337 65408 66248 67228 68276 69277 69286 71344 71407 73528 74606 75712 76832 79184 81536 81608 84032 85264 86359 90496 93002 95849 98696 100156 103222 106288 114464 115934 117649 117968 119483 121472 124852 128674 132496 132613 134456 136552 138554 138572 142688 142814 147056 149212 151424 153664 158368 163216 168064 170528 172718 175273 186004 191698 197392 200312 206444 212576 218491 228928 231868 235298 235936 238966 242501 249704 257348 261121 264992 265226 268912 273104 277108 277144 285376 285628 294112 298424 307328 316736 325507 326432 341056 345436 350546 361277 372008 383396 394784 400624 405769 412888 425152 436982 450359 457856 463736 470596 471872 477932 484939 485002 499408 499849 514696 522242 529984 530452 537824 538229 546208 554216 554288 570752 571256 588224 596848 604513 633472 651014 652864 670943 682112 690872 701092 722554 744016 744673 766792 789568 801248 811538 825776 836381 850304 873964 900601 900718 927472 928291 941192 943744 955864 969878 970004 998816 999698 1029392 1044484 1059968 1060904 1075648 1076458 1092416 1108432 1108576 1142512 1176448 1193696 1209026 1226911 1246037 1302028 1305728 1341886 1381744 1402184 1445108 1488032 1489346 1529437 1533584 1579136 1602496 1623076 1651552 1672762 1697507 1723969 1747928 1801202 1801436 1827847 1854944 1856582 1882384 1911728 1939756 1940008 1997632 1999396 2058784 2088968 2121808 2151296 2152916 2184832 2216864 2217152 2278549 2285024 2387392 2418052 2453822 2492074 2528939 2604056 2683772 2763488 2804368 2840383 2890216 2976064 2978692 3058874 3067168 3152513 3204992 3246152 3303104 3345524 3394573 3395014 3447938 3495856 3498943 3602404 3602872 3655694 3709888 3713164 3764768 3767603 3823456 3879512 3880016 3995264 3998792 4117568 4177936 4231591 4243616 4305832 4433728 4434304 4557098 4570048 4696601 4774784 4836104 4907644 4984148 5057878 5208112 5212711 5367544 5526976 5608736 5680766 5780432 5854667 5952128 5957384 6117748 6134336 6304207 6305026 6492304 6498037 6606208 6691048 6789146 6790028 6895876 6991712 6996977 6997886 7204808 7205744 7311388 7419776 7426328 7529536 7535206 7646912 7759024 7760032 7997584 8235136 8355872 8463182 8487232 8588377 8611664 8722259 8867456 9114196 9140096 9393202 9672208 9680749 9815288 9968296 10115756 10416224 10425422 10735088 11053952 11217472 11361532 11560864 11709334 11882549 11914768 12067783 12235496 12268672 12608414 12610052 12794929 12984608 12996074 13382096 13578292 13580056 13791752 13983424 13993954 13995772 14409616 14411488 14622776 14852656 15059072 15070412 15293824 15518048 15520064 15949843 15995168 16711744 16926364 16974464 17176754 17223328 17444518 17702573 18228392 18786404 19344416 19361498 19630576 19882681 19936592 20231512 20832448 20850844 21470176 22067591 22434944 22723064 23121728 23418668 23762011 23765098 23829536 24135566 24470992 24492601 25216828 25220104 25589858 25969216 25992148 26373221 26764192 27156584 27160112 27583504 27966848 27987908 27991544 28819232 28822976 29245552 29621137 29705312 30140824 31036096 31040128 31899686 31990336 32876207 33423488 33852728 34353508 34446656 34889036 35405146 36456784 36488977 37572808 38688832 38722996 39261152 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50062876444 51549892576 53127950512 54706008448 55515268928 56380682176 57214715936 57949493966 60545604028 60717657728 62399040886 62407147348 63322103621 64260824992 64309215607 65202958184 66227993104 67198967108 69194976032 69256078346 71313189584 71322454112 72368118424 73496246408 74517666496 74583468988 75689134976 76798819552 76808796736 79149803824 80249794688 81500788096 82706421056 83768575436 85238250272 86332919582 87610033777 90212312008 90456918656 92891885632 92973913396 95735514784 98666193808 100125752888 103099785152 105954807049 106255901024 111030537856 112761364352 114429431872 115898987932 117598192439 121091208056 124798081772 124814294696 126644207242 128521649984 128618431214 130405916368 130521070729 132455986208 134397934216 138389952064 138512156692 142626379168 142644908224 144736236848 146595007013 146992492816 149035332992 149166937976 153597639104 153617593472 158299607648 162704348443 165412842112 167537150872 170476500544 172665839164 175220067554 180424624016 185783771264 185947826792 191471029568 197332387616 200251505776 202823228881 206199570304 211909614098 212511802048 218396643101 228858863744 231797975864 235196384878 242182416112 242396274211 249596163544 249628589392 253288414484 257043299968 257236862428 260811832736 261042141458 264911972416 268795868432 276779904128 277024313384 285252758336 285289816448 289472473696 293190014026 293984985632 298333875952 302165218537 307195278208 316599215296 325408696886 335074301744 340953001088 345331678328 350440135108 360849248032 371895653584 382942059136 394664775232 400503011552 405646457762 423819228196 425023604096 436793286202 450164509249 463595951728 470392769756 484364832224 484792548422 499192327088 499257178784 506576828968 514473724856 521623665472 522084282916 529823944832 537591736864 554048626768 570505516672 578944947392 586380028052 587969971264 596667751904 604330437074 633198430592 650817393772 670148603488 690663356656 700880270216 721698496064 743791307168 789329550464 801006023104 811292915524 823187347073 847638456392 873586572404 900329018498 913647495103 927191903456 940785539512 968729664448 969585096844 998384654176 998514357568 1013153657936 1028947449712 1043247330944 1044168565832 1075183473728 1108097253536 1138930439101 1157889894784 1172760056104 1175939942528 1193335503808 1208660874148 1301634787544 1340297206976 1381326713312 1401760540432 1443396992128 1487582614336 1528776501707 1602012046208 1622585831048 1646374694146 1695276912784 1696773919477 1747173144808 1800658036996 1827294990206 1854383806912 1881571079024 1937459328896 1939170193688 1996769308352 1997028715136 2026307315872 2057894899424 2088337131664 2115156529759 2150366947456 2216194507072 2277860878202 2345520112208 2386671007616 2417321748296 2603269575088 2680594413952 2762653426624 2803521080864 2975165228672 3057553003414 3151151564743 3245171662096 3292749388292 3390553825568 3393547838954 3494346289616 3601316073992 3654589980412 3708767613824 3763142158048 3878340387376 3993538616704 4052614631744 4115789798848 4176674263328 4230313059518 4432389014144 4555721756404 4691040224416 4834643496592 5206539150176 5525306853248 5607042161728 6115106006828 6302303129486 6395532465721 6490343324192 6585498776584 6781107651136 6787095677908 6988692579232 7202632147984 7309179960824 7526284316096 7756680774752 8105229263488 8231579597696 8353348526656 8460626119036 9111443512808 9382080448832 9669286993184 10413078300352 10701435511949 11214084323456 11877417436339 12230212013656 12604606258972 12791064931442 12980686648384 13170997553168 13562215302272 13574191355816 13977385158464 14405264295968 14618359921648 14806095708313 15052568632192 15513361549504 16706697053312 16921252238072 18222887025616 18764160897664 19338573986368 20826156600704 21402871023898 22058060953201 23754834872678 24460424027312 25209212517944 25582129862884 25961373296768 26341995106336 27148382711632 27954770316928 28810528591936 29236719843296 29612191416626 31026723099008 33842504476144 36445774051232 38677147972736 42805742047796 44116121906402 47509669745356 48920848054624 50418425035888 51164259725768 52683990212672 54296765423264 57621057183872 58473439686592 59224382833252 67685008952288 72891548102464 83141922054373 85611484095592 88232243812804 95019339490712 97841696109248 100836850071776 102328519451536 105367980425344 108593530846528 116946879373184 118448765666504 135370017904576 145783096204928 154406426672407 166283844108746 171222968191184 176464487625608 190038678981424 195683392218496 201673700143552 204657038903072 217187061693056 236897531333008 270740035809152 308812853344814 332567688217492 342445936382368 352928975251216 380077357962848 403347400287104 409314077806144 473795062666016 617625706689628 665135376434984 684891872764736 705857950502432 760154715925696 818628155612288 947590125332032 1080844986706849 1235251413379256 1330270752869968 1369783745529472 1411715901004864 1520309431851392 1895180250664064 2161689973413698 2470502826758512 2660541505739936 2823431802009728 4323379946827396 4941005653517024 5321083011479872 8646759893654792 9882011307034048 10642166022959744 17293519787309584 19764022614068096 34587039574619168 69174079149238336 138348158298476672
- Sum of all divisors σ(n): 356553283233306645
- Sum of proper divisors (its aliquot sum) s(n): 218205124934829973
- 138348158298476672 is an abundant number, because the sum of its proper divisors (218205124934829973) is greater than itself. Its abundance is 79856966636353301
Bases of 138348158298476672
- Binary: 1111010111000001011101010101111101011010111010000100000002
- Hexadecimal: 0x1EB82EABEB5D080
- Base-36: 11U8BUINBIBK
Squares and roots of 138348158298476672
- 138348158298476672 squared (1383481582984766722) is 19140212904580359643428675728195584
- 138348158298476672 cubed (1383481582984766723) is 2648013204789429568776493394308865510853266477416448
-
The
square root of 138348158298476672 is 371951822.5502822725 -
The
cube root of 138348158298476672 is 517199.1399857895
Scales and comparisons
How big is 138348158298476672?- 138,348,158,298,476,672 seconds is equal to 4,399,043,494 years, 48 weeks, 6 days, 7 hours, 4 minutes, 32 seconds.
-
To count from 1 to 138,348,158,298,476,672 would take you about thirteen billion, one hundred ninety-seven million, one hundred thirty thousand, four hundred eighty-four 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 138348158298476672 cubic inches would be around 43099.9 feet tall.
Recreational maths with 138348158298476672
- 138348158298476672 backwards is 276674892851843831
- The number of decimal digits it has is: 18
- The sum of 138348158298476672's digits is 92
- More coming soon!
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"Number 138348158298476672 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 138348158298476672 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/138348158298476672/
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The information we have on file for 138348158298476672 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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