138839429133568214100
138,839,429,133,568,214,100 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138839429133568214100 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 972 divisors.
138839429133568214100 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138839429133568214100:
22 × 32 × 52 × 7 × 83 × 10632 × 153292
(2 × 2 × 3 × 3 × 5 × 5 × 7 × 83 × 1063 × 1063 × 15329 × 15329)See below for interesting mathematical facts about the number 138839429133568214100 from the Numbermatics database.
Names of 138839429133568214100
- Cardinal: 138839429133568214100 can be written as One hundred thirty-eight quintillion, eight hundred thirty-nine quadrillion, four hundred twenty-nine trillion, one hundred thirty-three billion, five hundred sixty-eight million, two hundred fourteen thousand, one hundred.
Scientific notation
- Scientific notation: 1.388394291335682141 × 1020
Factors of 138839429133568214100
Divisors of 138839429133568214100
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 83 84 90 100 105 126 140 150 166 175 180 210 225 249 252 300 315 332 350 415 420 450 498 525 581 630 700 747 830 900 996 1050 1063 1162 1245 1260 1494 1575 1660 1743 2075 2100 2126 2324 2490 2905 2988 3150 3189 3486 3735 4150 4252 4980 5229 5315 5810 6225 6300 6378 6972 7441 7470 8300 8715 9567 10458 10630 11620 12450 12756 14525 14882 14940 15329 15945 17430 18675 19134 20916 21260 22323 24900 26145 26575 29050 29764 30658 31890 34860 37205 37350 38268 43575 44646 45987 47835 52290 53150 58100 61316 63780 66969 74410 74700 76645 79725 87150 88229 89292 91974 95670 104580 106300 107303 111615 130725 133938 137961 148820 153290 159450 174300 176458 183948 186025 191340 214606 223230 229935 239175 261450 264687 267876 275922 306580 318900 321909 334845 352916 372050 383225 429212 441145 446460 459870 478350 522900 529374 536515 551844 558075 617603 643818 669690 689805 744100 766450 794061 882290 919740 956700 965727 1058748 1073030 1116150 1129969 1149675 1235206 1272307 1287636 1323435 1339380 1379610 1532900 1588122 1609545 1674225 1764580 1852809 1931454 2146060 2205725 2232300 2259938 2299350 2470412 2544614 2646870 2682575 2759220 3088015 3176244 3219090 3348450 3389907 3449025 3705618 3816921 3862908 3970305 4411450 4519876 4598700 4828635 5089228 5293740 5365150 5558427 5649845 6176030 6361535 6438180 6617175 6696900 6779814 6898050 7411236 7633842 7909783 7940610 8047725 8822900 8906149 9264045 9657270 10169721 10730300 11116854 11299690 11450763 12352060 12723070 13234350 13559628 13796100 15267684 15440075 15819566 15881220 16095450 16294727 16949535 17812298 18528090 19084605 19314540 19851525 20339442 22233708 22599380 22901526 23729349 24143175 25446140 26468700 26718447 27792135 28249225 30880150 31639132 31807675 32190900 32589454 33899070 35624596 37056180 38169210 39548915 39703050 40678884 44530745 45803052 46320225 47458698 48286350 48884181 50848605 53436894 55584270 56498450 57253815 61760300 63615350 65178908 67798140 71188047 76338420 79097830 79406100 80155341 81473635 84747675 89061490 92640450 93787427 94917396 95423025 96572700 97768362 101697210 106873788 111168540 112996900 114063089 114507630 118646745 127230700 133592235 138960675 142376094 146652543 158195660 160310682 162947270 169495350 178122980 185280900 187574854 190846050 195536724 197744575 203394420 222653725 228126178 229015260 234978241 237293490 244420905 254243025 267184470 277921350 281362281 284752188 286269075 293305086 320621364 325894540 338990700 342189267 355940235 375149708 381692100 395489150 400776705 407368175 445307450 456252356 468937135 469956482 474586980 488841810 508486050 534368940 555842700 562724562 570315445 572538150 586610172 593233725 656511989 667961175 684378534 704934723 711880470 733262715 790978300 801553410 814736350 844086843 890614900 937874270 939912964 977683620 1016972100 1026567801 1125449124 1140630890 1145076300 1174891205 1186467450 1222104525 1313023978 1335922350 1352462341 1368757068 1406811405 1409869446 1423760940 1466525430 1603106820 1629472700 1644847687 1688173686 1710946335 1779701175 1875748540 1969535967 2003883525 2053135602 2114804169 2281261780 2344685675 2349782410 2372934900 2444209050 2626047956 2671844700 2704924682 2813622810 2819738892 2851577225 2933050860 3282559945 3289695374 3376347372 3421892670 3524673615 3559402350 3666313575 3939071934 4007767050 4057387023 4106271204 4220434215 4229608338 4689371350 4699564820 4888418100 4934543061 5132839005 5409849364 5627245620 5703154450 5874456025 5908607901 6565119890 6579390748 6762311705 6843785340 7034057025 7049347230 7118804700 7332627150 7878143868 8015534100 8114774046 8224238435 8440868430 8459216676 8554731675 9378742700 9467236387 9847679835 9869086122 10265678010 10574020845 11406308900 11748912050 11817215802 12172161069 13130239780 13524623410 14068114050 14098694460 14665254300 14803629183 16229548092 16412799725 16448476870 16881736860 17109463350 17321294801 17623368075 18934472774 19503194003 19695359670 19738172244 20286935115 20531356020 21102171075 21148041690 23497824100 23634431604 24344322138 24672715305 25664195025 27049246820 28136228100 28401709161 29543039505 29607258366 32825599450 32896953740 33811558525 34218926700 34642589602 35246736150 37868945548 39006388006 39390719340 40573870230 41121192175 42204342150 42296083380 47336181935 48688644276 49238399175 49345430610 51328390050 51963884403 52870104225 56803418322 58509582009 59086079010 59214516732 60860805345 65651198900 67623117050 69285179204 70493472300 74018145915 78012776012 81147740460 82242384350 84408684300 85205127483 86606474005 94672363870 97515970015 98476798350 98690861220 101434675575 102656780100 103927768806 105740208450 113606836644 117019164018 118172158020 121249063607 121721610690 123363576525 135246234100 136522358021 142008545805 147715197525 148036291830 155891653209 164484768700 170410254966 173212948010 175528746027 189344727740 195031940030 196953596700 202869351150 207855537612 211480416900 234038328036 236680909675 242498127214 243443221380 246727153050 249781870183 259819422015 273044716042 284017091610 292547910045 295430395050 296072583660 304304026725 311783306418 340820509932 346425896020 351057492054 363747190821 370090729575 390063880060 405738702300 409567074063 426025637415 433032370025 473361819350 484996254428 487579850075 493454306100 499563740366 519638844030 546089432084 568034183220 585095820090 590860790100 606245318035 608608053450 623566612836 682611790105 702114984108 710042729025 727494381642 740181459150 749345610549 779458266045 819134148126 852051274830 866064740050 877643730135 946723638700 975159700150 999127480732 1039277688060 1091241572463 1170191640180 1212490636070 1217216106900 1228701222189 1248909350915 1299097110075 1365223580210 1420085458050 1437667468483 1454988763284 1462739550225 1480362918300 1498691221098 1558916532090 1638268296252 1704102549660 1732129480100 1748473091281 1755287460270 1818735954105 1950319400300 2047835370315 2130128187075 2182483144926 2248036831647 2424981272140 2457402444378 2497818701830 2598194220150 2730447160420 2840170916100 2875334936966 2925479100450 2997382442196 3031226590175 3117833064180 3413058950525 3496946182562 3510574920540 3637471908210 3746728052745 3897291330225 4095670740630 4260256374150 4313002405449 4364966289852 4388218650675 4496073663294 4914804888756 4995637403660 5196388440300 5245419273843 5456207862315 5750669873932 5850958200900 6062453180350 6143506110945 6244546754575 6826117901050 6993892365124 7188337342415 7274943816420 7493456105490 7794582660450 8191341481260 8520512748300 8626004810898 8742365456405 8776437301350 8992147326588 9093679770525 10063672279381 10239176851575 10490838547686 10912415724630 11240184158235 12124906360700 12287012221890 12489093509150 12939007216347 13652235802100 14376674684830 14986912210980 15589165320900 15736257821529 17252009621796 17484730912810 17552874602700 18187359541050 18733640263725 20127344558762 20478353703150 20731895225189 20981677095372 21565012027245 21824831449260 22480368316470 24574024443780 24978187018300 25878014432694 26227096369215 27281039311575 28753349369660 30191016838143 30717530554725 31472515643058 34969461825620 35941686712075 36374719082100 37467280527450 40254689117524 40956707406300 41463790450378 43130024054490 43711827282025 44960736632940 50318361396905 51756028865388 52454192738430 54562078623150 56200920791175 60382033676286 61435061109450 62195685675567 62945031286116 64695036081735 71883373424150 74934561054900 78681289107645 82927580900756 86260048108980 87423654564050 90573050514429 100636722793810 103659476125945 104908385476860 107825060136225 109124157246300 112401841582350 120764067352572 122870122218900 124391371351134 129390072163470 131135481846075 143766746848300 145123266576323 150955084190715 157362578215290 174847309128100 181146101028858 186587057026701 201273445587620 207318952251890 215650120272450 224803683164700 248782742702268 251591806984525 258780144326940 262270963692150 265518128004529 290246533152646 301910168381430 310978428377835 314725156430580 323475180408675 362292202057716 373174114053402 393406445538225 414637904503780 431300240544900 435369799728969 452865252572145 503183613969050 518297380629725 524541927384300 531036256009058 580493066305292 603820336762860 621956856755670 646950360817350 725616332881615 746348228106804 754775420953575 786812891076450 796554384013587 870739599457938 905730505144290 932935285133505 1006367227938100 1036594761259450 1062072512018116 1243913713511340 1293900721634700 1306109399186907 1327590640022645 1451232665763230 1509550841907150 1554892141889175 1573625782152900 1593108768027174 1741479198915876 1811461010288580 1858626896031703 1865870570267010 2073189522518900 2176848998644845 2264326262860725 2389663152040761 2612218798373814 2655181280045290 2902465331526460 3019101683814300 3109784283778350 3186217536054348 3628081664408075 3717253792063406 3731741140534020 3982771920067935 4353697997289690 4528652525721450 4664676425667525 4779326304081522 5224437596747628 5310362560090580 5575880688095109 6219568567556700 6530546995934535 6637953200113225 7256163328816150 7434507584126812 7965543840135870 8707395994579380 9057305051442900 9293134480158515 9329352851335050 9558652608163044 10884244993224225 11151761376190218 11948315760203805 13061093991869070 13275906400226450 14512326657632300 15931087680271740 16727642064285327 18586268960317030 18658705702670100 19913859600339675 21768489986448450 22038004624375907 22303522752380436 23896631520407610 26122187983738140 26551812800452900 27879403440475545 32652734979672675 33455284128570654 37172537920634060 39827719200679350 43536979972896900 44076009248751814 46465672400792575 47793263040815220 55758806880951090 59741578801019025 65305469959345350 66114013873127721 66910568257141308 79655438401358700 83638210321426635 88152018497503628 92931344801585150 110190023121879535 111517613761902180 119483157602038050 130610939918690700 132228027746255442 139397017202377725 154266032370631349 167276420642853270 185862689603170300 198342041619383163 220380046243759070 238966315204076100 264456055492510884 278794034404755450 308532064741262698 330570069365638605 334552841285706540 396684083238766326 418191051607133175 440760092487518140 462798097111894047 550950115609397675 557588068809510900 617064129482525396 661140138731277210 771330161853156745 793368166477532652 836382103214266350 925596194223788094 991710208096915815 1101900231218795350 1322280277462554420 1388394291335682141 1542660323706313490 1652850346828193025 1672764206428532700 1851192388447576188 1983420416193831630 2203800462437590700 2313990485559470235 2776788582671364282 3085320647412626980 3305700693656386050 3856650809265783725 3966840832387663260 4627980971118940470 4958551040484579075 5553577165342728564 6611401387312772100 6941971456678410705 7713301618531567450 9255961942237880940 9917102080969158150 11569952427797351175 13883942913356821410 15426603237063134900 19834204161938316300 23139904855594702350 27767885826713642820 34709857283392053525 46279809711189404700 69419714566784107050 138839429133568214100
- Sum of all divisors σ(n): 503852730665172741216
- Sum of proper divisors (its aliquot sum) s(n): 365013301531604527116
- 138839429133568214100 is an abundant number, because the sum of its proper divisors (365013301531604527116) is greater than itself. Its abundance is 226173872398036313016
Bases of 138839429133568214100
- Binary: 11110000110110010001011110100110001101101000101101010000100010101002
- Hexadecimal: 0x786C8BD31B45A8454
- Base-36: TAU4M2VZS4A50
Squares and roots of 138839429133568214100
- 138839429133568214100 squared (1388394291335682141002) is 19276387082135110174227965617863438810000
- 138839429133568214100 cubed (1388394291335682141003) is 2676322578241327394302997943094161258211062069536329221000000
-
The
square root of 138839429133568214100 is 11783014433.2241320607 -
The
cube root of 138839429133568214100 is 5178106.0384333489
Scales and comparisons
How big is 138839429133568214100?- 138,839,429,133,568,214,100 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,839,429,133,568,214,100 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 138839429133568214100 cubic inches would be around 431508.8 feet tall.
Recreational maths with 138839429133568214100
- 138839429133568214100 backwards is 001412865331924938831
- The number of decimal digits it has is: 21
- The sum of 138839429133568214100's digits is 81
- More coming soon!
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"Number 138839429133568214100 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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The information we have on file for 138839429133568214100 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 138839429133568214100, math, Factors of 138839429133568214100, curriculum, school, college, exams, university, Prime factorization of 138839429133568214100, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, eight hundred thirty-nine quadrillion, four hundred twenty-nine trillion, one hundred thirty-three billion, five hundred sixty-eight million, two hundred fourteen thousand, one hundred.