138345539432100
138,345,539,432,100 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138345539432100 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1728 divisors.
138345539432100 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138345539432100:
22 × 3 × 52 × 7 × 11 × 13 × 37 × 79 × 3972
(2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 37 × 79 × 397 × 397)See below for interesting mathematical facts about the number 138345539432100 from the Numbermatics database.
Names of 138345539432100
- Cardinal: 138345539432100 can be written as One hundred thirty-eight trillion, three hundred forty-five billion, five hundred thirty-nine million, four hundred thirty-two thousand, one hundred.
Scientific notation
- Scientific notation: 1.383455394321 × 1014
Factors of 138345539432100
Divisors of 138345539432100
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 10 11 12 13 14 15 20 21 22 25 26 28 30 33 35 37 39 42 44 50 52 55 60 65 66 70 74 75 77 78 79 84 91 100 105 110 111 130 132 140 143 148 150 154 156 158 165 175 182 185 195 210 220 222 231 237 259 260 273 275 286 300 308 316 325 330 350 364 370 385 390 395 397 407 420 429 444 455 462 474 481 518 525 546 550 553 555 572 650 660 700 715 740 770 777 780 790 794 814 825 858 869 910 924 925 948 962 975 1001 1027 1036 1050 1092 1100 1106 1110 1155 1185 1191 1221 1295 1300 1365 1430 1443 1540 1554 1580 1588 1628 1650 1659 1716 1738 1820 1850 1924 1925 1950 1975 1985 2002 2035 2054 2100 2145 2212 2220 2275 2310 2370 2382 2405 2442 2590 2607 2730 2765 2775 2779 2849 2860 2886 2923 3003 3081 3108 3300 3318 3367 3476 3575 3700 3850 3885 3900 3950 3970 4004 4070 4108 4290 4345 4367 4550 4620 4740 4764 4810 4884 5005 5135 5161 5180 5214 5291 5460 5530 5550 5558 5698 5772 5775 5846 5925 5955 6006 6083 6105 6162 6475 6636 6734 6825 7150 7189 7215 7700 7770 7900 7940 8140 8295 8337 8547 8580 8690 8734 8769 9100 9620 9925 10010 10101 10175 10270 10322 10428 10582 10725 11060 11100 11116 11297 11396 11550 11692 11850 11910 12012 12025 12166 12210 12324 12950 13035 13101 13468 13650 13825 13895 14245 14300 14378 14430 14615 14689 15015 15405 15483 15540 15873 16590 16674 16835 17094 17380 17468 17538 18249 19425 19850 20020 20202 20350 20461 20540 20644 21164 21450 21567 21725 21835 22594 23100 23700 23820 24050 24332 24420 25025 25675 25805 25900 26070 26202 26455 27300 27650 27790 28490 28756 28860 29230 29378 29775 30030 30415 30525 30569 30810 30966 31363 31746 32153 33180 33348 33670 33891 34188 35076 35945 36075 36127 36498 37037 37999 38850 39700 40404 40700 40922 41475 41685 42735 42900 43134 43450 43670 43845 44067 45188 48100 50050 50505 51350 51610 52140 52404 52910 55300 55580 56485 56771 56980 58460 58756 59550 60060 60830 61050 61138 61383 61620 61932 62726 63492 64306 65175 65505 67340 67782 69475 71225 71890 72150 72254 72996 73075 73445 74074 75075 75998 77025 77415 77700 79079 79365 81844 82950 83370 84175 85470 86268 86900 87340 87690 88134 91245 91707 94089 96459 100100 101010 102305 102700 102823 103220 105820 107835 108381 109175 111111 112970 113542 113997 119100 121660 122100 122276 122766 125452 128612 129025 130350 131010 132275 135564 138950 142450 143780 144300 144508 146150 146890 148148 150150 151996 152075 152845 154050 154830 156815 157609 158158 158730 160765 161579 165900 166740 168350 169455 170313 170940 175380 176268 179725 180635 182490 183414 185185 188178 189995 190957 192918 202020 204610 205646 208425 213675 215670 216762 218350 219225 219541 220335 222222 225071 225940 227084 227994 237237 245532 252525 258050 260700 262020 264550 265993 277900 282425 283855 284900 292300 293780 300300 304150 305690 306915 308100 308469 309660 313630 315218 316316 317460 321530 323158 327525 336700 338910 340626 344993 359450 361270 364980 366828 367225 370370 376356 379990 381914 385836 387075 395395 396825 397397 407719 409220 411292 416850 417989 427350 431340 433524 436700 438450 439082 440670 444444 450142 455988 456225 458535 470445 472827 474474 482295 484737 505050 511525 514115 516100 529100 531986 539175 541905 555555 564850 567710 569985 572871 608300 611380 613830 616938 627260 630436 643060 646316 655050 658623 675213 677820 681252 689986 718900 722540 734450 740740 759980 763828 764225 774150 784075 788045 790790 793650 794794 797979 803825 807895 815438 833700 835978 847275 851565 854700 876900 878164 881340 900284 903175 912450 917070 925925 940890 945654 948948 949975 954785 964590 969474 1010100 1023050 1028230 1034979 1063972 1078350 1083810 1097705 1101675 1103263 1111110 1125355 1129700 1131053 1135420 1139970 1145742 1160431 1186185 1192191 1223157 1227660 1233876 1253967 1310100 1317246 1329965 1336699 1350426 1379972 1419275 1468900 1528450 1534575 1542345 1548300 1568150 1576090 1581580 1587300 1589588 1595958 1607650 1615790 1630876 1671956 1694550 1703130 1724965 1733699 1806350 1824900 1834140 1851850 1881780 1891308 1899950 1909570 1929180 1938948 1976975 1986985 2038595 2046100 2048917 2056460 2069958 2089945 2100527 2156700 2167620 2195410 2203350 2206526 2222220 2250710 2262106 2279940 2291484 2292675 2320862 2352225 2364135 2372370 2384382 2411475 2414951 2423685 2446314 2507934 2570575 2634492 2659930 2673398 2700852 2709525 2777775 2838550 2849925 2854033 2864355 2925923 3056900 3069150 3084690 3136300 3152180 3191916 3215300 3231580 3293115 3309789 3376065 3389100 3393159 3406260 3449930 3467398 3481293 3612700 3703700 3799900 3819140 3940225 3953950 3973970 3989895 4010097 4039475 4077190 4097834 4139916 4179890 4201054 4257825 4390820 4406700 4413052 4484909 4501420 4524212 4585350 4641724 4704450 4728270 4744740 4768764 4773925 4822950 4829902 4847370 4892628 5015868 5141150 5174895 5201097 5319860 5346796 5419050 5488525 5516315 5555550 5626775 5655265 5677100 5699850 5708066 5728710 5802155 5831533 5851846 5930925 5960955 6115785 6138300 6146751 6169380 6269835 6301581 6586230 6619578 6649825 6683495 6752130 6786318 6899860 6934796 6962586 7244853 7711725 7880450 7907900 7947940 7979790 8020194 8078950 8123017 8154380 8195668 8359780 8402108 8515650 8562099 8624825 8668495 8777769 8969818 9170700 9408900 9456540 9547850 9645900 9659804 9694740 9934925 10192975 10244585 10282300 10349790 10402194 10449725 10502635 10838100 10977050 11032630 11111100 11253550 11310530 11399700 11416132 11457420 11604310 11663066 11703692 11820675 11861850 11921910 12074755 12118425 12135893 12231570 12293502 12451111 12539670 12603162 12764741 13172460 13239156 13299650 13366990 13454727 13504260 13572636 13925172 14270165 14321775 14342419 14489706 14629615 14703689 15085603 15423450 15760900 15959580 16040388 16157900 16246034 16465575 16548945 16880325 16965795 17031300 17124198 17249650 17336990 17406465 17494599 17555538 17939636 19095700 19869850 19949475 20050485 20385950 20489170 20699580 20804388 20899450 21005270 21954100 22065260 22424545 22507100 22538087 22621060 23208620 23326132 23641350 23723700 23843820 24149510 24236850 24271786 24369051 24463140 24587004 24902222 25079340 25206324 25529482 25874475 26005485 26599300 26733980 26909454 27581575 28276325 28540330 28643550 28684838 28979412 29010775 29157665 29259230 29407378 29804775 30171206 30578925 30733755 30846900 31349175 31394363 31507905 32492068 32931150 33097890 33417475 33760650 33931590 34248396 34499300 34673980 34812930 34989198 35111076 36224265 36407679 37353333 38294223 39739700 39898950 40100970 40615085 40771900 40820731 40978340 41798900 42010540 42810495 43027257 43342475 43888845 44111067 44849090 45076174 45256809 47282700 48299020 48473700 48543572 48738102 49804444 51058964 51222925 51748950 52010970 52513175 53818908 55163150 56552650 57080660 57287100 57369676 58021550 58315330 58518460 58814756 59609550 60342412 60373775 60679465 61157850 61467510 62255555 62698350 62788726 63015810 63823705 64146863 65862300 66195780 66834950 67273635 67521300 67614261 67863180 69625860 69978396 71350825 71712095 72448530 72815358 73148075 73518445 74706666 75428015 75809929 76588446 79797900 80201940 81230170 81641462 82744725 84828975 85620990 86054514 86684950 87032325 87157777 87472995 87777690 88222134 89353187 89698180 90152348 90513618 94183089 97476204 100252425 102445850 103497900 104021940 105026350 105599221 110326300 112122725 112690435 113105300 116043100 116630660 119219100 120747550 121358930 121845255 122315700 122462193 122935020 124511110 125396700 125577452 126031620 127647410 128293726 130027425 133669900 134547270 135228522 136962221 142701650 143424190 144897060 145630716 145788325 146296150 147036890 149413332 150856030 151619858 153176892 153668775 156971815 157539525 157766609 161864443 162460340 163282924 165489450 165941633 169657950 171241980 172109028 173369900 174064650 174315554 174945990 175555380 176444268 178706374 181027236 181121325 182038395 186766665 188366178 191471115 192440589 200504850 203075425 204103655 204891700 210052700 211198442 214052475 215136285 219444225 220555335 224245450 225380870 226284045 227429787 241495100 242717860 243690510 244924386 249022220 255294820 256587452 260054850 261473331 268059561 269094540 270457044 273924442 285403300 286848380 291576650 292592300 294073780 301712060 303239716 303397325 307337550 311277775 313943630 315079050 315533218 316797663 319118525 320734315 323728886 330978900 331883266 336368175 338071305 339315900 348129300 348631108 349891980 357412748 358560475 362242650 364076790 367592225 373533330 376732356 377140075 379049645 382942230 384881178 401009700 406150850 408207310 410886663 422396884 428104950 430272570 435788885 437364975 438888450 441110670 446765935 448490900 449028041 450761740 452568090 454859574 460691107 470915445 473299827 485593329 487381020 489848772 497824899 520109700 522946662 527996105 530669503 536119122 547848884 563452175 583153300 606794650 609226275 612310965 614675100 622555550 627887260 630158100 631066436 633595326 638237050 641468630 647457772 663766532 672736350 676142610 684811105 717120950 724485300 728153580 735184450 747066660 754280150 758099290 765884460 769762356 784859075 788833045 809322215 812301700 816414620 821773326 829708165 833909219 856209900 860545140 871577770 874729950 877776900 882221340 893531870 898056082 905136180 909719148 910191975 921382214 933833325 941830890 946599654 957355575 958735547 962202945 971186658 995649798 1020518275 1045893324 1055992210 1061339006 1072238244 1075681425 1102776675 1126904350 1131420225 1133051101 1137148935 1161591431 1213589300 1218452550 1224621930 1245111100 1267190652 1276474100 1282937260 1307366655 1340297805 1345472700 1347084123 1352285220 1369622210 1382073321 1434241900 1470368900 1508560300 1516198580 1569718150 1577666090 1583988315 1592008509 1603671575 1618644430 1643546652 1659416330 1667818438 1690356525 1743155540 1749459900 1780508873 1787063740 1796112164 1820383950 1842764428 1867666650 1883661780 1893199308 1895248225 1914711150 1917471094 1924405890 1942373316 1991299596 2041036550 2054433315 2111984420 2122678012 2151362850 2178944425 2205553350 2233829675 2245140205 2253808700 2262840450 2266102202 2274297870 2303455535 2323182862 2354577225 2366499135 2427966645 2436905100 2449243860 2489124495 2501727657 2614733310 2639980525 2653347515 2680595610 2694168246 2739244420 2764146642 2876206641 3061554825 3139436300 3155332180 3167976630 3184017018 3207343150 3224837749 3237288860 3318832660 3335636876 3380713050 3399153303 3424055525 3484774293 3561017746 3640767900 3735333300 3790496450 3829422300 3834942188 3848811780 3944165225 4046611075 4082073100 4108866630 4148540825 4169546095 4302725700 4357888850 4411106700 4467659350 4490280410 4525680900 4532204404 4548595740 4606911070 4646365724 4709154450 4732998270 4793677735 4811014725 4855933290 4978248990 5003455314 5067602177 5229466620 5279961050 5306695030 5341526619 5361191220 5388336492 5528293284 5665255505 5685744675 5752413282 5807957155 5837364533 5988984391 6123109650 6335953260 6368034036 6414686300 6449675498 6536833275 6701489025 6735420615 6761426100 6798306606 6848111050 6910366605 6969548586 7122035492 7580992900 7888330450 7919941575 7960042545 8093222150 8217733260 8297081650 8339092190 8715777700 8902544365 8935318700 8980560820 9213822140 9418308900 9465996540 9587355470 9622029450 9674513247 9711866580 9956497980 10006910628 10135204354 10272166575 10559922100 10613390060 10683053238 11225701025 11330511010 11371489350 11504826564 11517277675 11615914310 11674729066 11832495675 11977968782 12139833225 12246219300 12445622475 12463562111 12508638285 12899350996 13073666550 13266737575 13402978050 13470841230 13596613212 13696222100 13820733210 13939097172 14381033205 15202806531 15776660900 15839883150 15920085090 16124188745 16186444300 16594163300 16678184380 16995766515 17423871465 17512093599 17805088730 17966953173 19174710940 19244058900 19349026494 20270408708 20544333150 20847730475 21366106476 22451402050 22661022020 22742978700 23034555350 23231828620 23349458132 23664991350 23955937564 23968388675 24279666450 24891244950 24927124222 25017276570 25338010885 26147333100 26533475150 26707633095 26805956100 26941682460 27641466420 28326277525 28762066410 29039785775 29186822665 29944921955 30405613062 31679766300 31840170180 32248377490 33677103075 33991533030 34551833025 34847742930 35024187198 35473215239 35610177460 35933906346 37390686333 38698052988 39800212725 41088666300 41695460950 41922890737 44512721825 44902804100 46069110700 47329982700 47936777350 48372566235 48559332900 49782489900 49854248444 50034553140 50676021770 53066950300 53415266190 56652555050 57524132820 58079571550 58373645330 59889843910 60811226124 62317810555 62543191425 64496754980 65878828301 67354206150 67983066060 69103666050 69695485860 70048374396 70946430478 71867812692 71905166025 74781372666 76014032655 79600425450 80620943725 83390921900 83845781474 84978832575 87119357325 87560467995 89025443650 89834765865 95873554700 96745132470 101352043540 106419645717 106830532380 113305110100 116159143100 116747290660 119779687820 124635621110 125086382850 125768672211 126690054425 131757656602 133538165475 134708412300 138207332100 141892860956 143810332050 145934113325 149562745332 149724609775 152028065310 159200850900 161241887450 167691562948 169957665150 174238714650 175120935990 177366076195 178050887300 179669531730 186953431665 193490264940 197636484903 209614453685 212839291434 241862831175 249271242220 250172765700 251537344422 253380108850 263515313204 267076330950 287620664100 291868226650 299449219550 304056130620 311589052775 322483774900 329394141505 339915330300 348477429300 350241871980 354732152390 359339063460 373906863330 380070163275 395272969806 419228907370 425678582868 437802339975 449173829325 461151798107 483725662350 503074688844 506760217700 532098228585 534152661900 583736453300 598898439100 623178105550 628843361055 658788283010 709464304780 747813726660 760140326550 790545939612 838457814740 875604679950 886830380975 898347658650 922303596214 934767158325 967451324700 988182424515 1048072268425 1064196457170 1246356211100 1257686722110 1317576566020 1383455394321 1520280653100 1646970707525 1751209359900 1773660761950 1796695317300 1844607192428 1869534316650 1976364849030 2096144536850 2128392914340 2305758990535 2515373444220 2660491142925 2766910788642 3144216805275 3293941415050 3547321523900 3739068633300 3952729698060 4192289073700 4611517981070 4940912122575 5320982285850 5533821577284 6288433610550 6587882830100 6917276971605 9223035962140 9881824245150 10641964571700 11528794952675 12576867221100 13834553943210 19763648490300 23057589905350 27669107886420 34586384858025 46115179810700 69172769716050 138345539432100
- Sum of all divisors σ(n): 560362294517760
- Sum of proper divisors (its aliquot sum) s(n): 422016755085660
- 138345539432100 is an abundant number, because the sum of its proper divisors (422016755085660) is greater than itself. Its abundance is 283671215653560
Bases of 138345539432100
- Binary: 111110111010011000101001011101111101110101001002
- Hexadecimal: 0x7DD314BBEEA4
- Base-36: 1D1F2A79NO
Squares and roots of 138345539432100
- 138345539432100 squared (1383455394321002) is 19139488280758735990510410000
- 138345539432100 cubed (1383455394321003) is 2647862830655923545681711378060538161000000
-
The
square root of 138345539432100 is 11762038.0645575195 -
The
cube root of 138345539432100 is 51719.5876518701
Scales and comparisons
How big is 138345539432100?- 138,345,539,432,100 seconds is equal to 4,398,960 years, 11 weeks, 4 days, 4 hours, 55 minutes.
-
To count from 1 to 138,345,539,432,100 would take you about ten million, nine hundred ninety-seven thousand, four hundred 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 138345539432100 cubic inches would be around 4310 feet tall.
Recreational maths with 138345539432100
- 138345539432100 backwards is 001234935543831
- The number of decimal digits it has is: 15
- The sum of 138345539432100's digits is 51
- 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 138345539432100 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 138345539432100 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138345539432100/
Chicago style:
Numbermatics. 2024. "Number 138345539432100 - Facts about the integer". https://numbermatics.com/n/138345539432100/
The information we have on file for 138345539432100 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 138345539432100, math, Factors of 138345539432100, curriculum, school, college, exams, university, Prime factorization of 138345539432100, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred forty-five billion, five hundred thirty-nine million, four hundred thirty-two thousand, one hundred.