138138829550529408
138,138,829,550,529,408 is an even composite number composed of four prime numbers multiplied together.
What does the number 138138829550529408 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1024 divisors.
138138829550529408 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138138829550529408:
27 × 315 × 73 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 73 × 101 × 101 × 101)See below for interesting mathematical facts about the number 138138829550529408 from the Numbermatics database.
Names of 138138829550529408
- Cardinal: 138138829550529408 can be written as One hundred thirty-eight quadrillion, one hundred thirty-eight trillion, eight hundred twenty-nine billion, five hundred fifty million, five hundred twenty-nine thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38138829550529408 × 1017
Factors of 138138829550529408
Divisors of 138138829550529408
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 101 108 128 144 146 162 192 202 216 219 243 288 292 303 324 384 404 432 438 486 576 584 606 648 657 729 808 864 876 909 972 1152 1168 1212 1296 1314 1458 1616 1728 1752 1818 1944 1971 2187 2336 2424 2592 2628 2727 2916 3232 3456 3504 3636 3888 3942 4374 4672 4848 5184 5256 5454 5832 5913 6464 6561 7008 7272 7373 7776 7884 8181 8748 9344 9696 10201 10368 10512 10908 11664 11826 12928 13122 14016 14544 14746 15552 15768 16362 17496 17739 19392 19683 20402 21024 21816 22119 23328 23652 24543 26244 28032 29088 29492 30603 31104 31536 32724 34992 35478 38784 39366 40804 42048 43632 44238 46656 47304 49086 52488 53217 58176 58984 59049 61206 63072 65448 66357 69984 70956 73629 78732 81608 84096 87264 88476 91809 93312 94608 98172 104976 106434 116352 117968 118098 122412 126144 130896 132714 139968 141912 147258 157464 159651 163216 174528 176952 177147 183618 189216 196344 199071 209952 212868 220887 235936 236196 244824 252288 261792 265428 275427 279936 283824 294516 314928 319302 326432 349056 353904 354294 367236 378432 392688 398142 419904 425736 441774 471872 472392 478953 489648 523584 530856 531441 550854 567648 589032 597213 629856 638604 652864 662661 707808 708588 734472 744673 756864 785376 796284 826281 839808 851472 883548 943744 944784 957906 979296 1030301 1047168 1061712 1062882 1101708 1135296 1178064 1194426 1259712 1277208 1305728 1325322 1415616 1417176 1436859 1468944 1489346 1570752 1592568 1594323 1652562 1702944 1767096 1791639 1889568 1915812 1958592 1987983 2060602 2123424 2125764 2203416 2234019 2270592 2356128 2388852 2478843 2519424 2554416 2650644 2831232 2834352 2873718 2937888 2978692 3090903 3141504 3185136 3188646 3305124 3405888 3534192 3583278 3779136 3831624 3917184 3975966 4121204 4246848 4251528 4310577 4406832 4468038 4712256 4777704 4782969 4957686 5108832 5301288 5374917 5668704 5747436 5875776 5957384 5963949 6181806 6370272 6377292 6610248 6702057 6811776 7068384 7166556 7436529 7558272 7663248 7951932 8242408 8493696 8503056 8621154 8813664 8936076 9272709 9424512 9555408 9565938 9915372 10217664 10602576 10749834 11337408 11494872 11751552 11914768 11927898 12363612 12740544 12754584 12931731 13220496 13404114 14136768 14333112 14348907 14873058 15326496 15903864 16124751 16484816 17006112 17242308 17627328 17872152 17891847 18545418 19110816 19131876 19830744 20106171 20435328 21205152 21499668 22309587 22674816 22989744 23829536 23855796 24727224 25481088 25509168 25863462 26440992 26808228 27818127 28273536 28666224 28697814 29746116 30652992 31807728 32249502 32969632 34012224 34484616 35254656 35744304 35783694 37090836 38221632 38263752 38795193 39661488 40212342 42410304 42999336 44619174 45979488 47659072 47711592 48374253 49454448 51018336 51726924 52881984 53616456 53675541 55636254 57332448 57395628 59492232 60318513 61305984 63615456 64499004 65939264 66928761 68024448 68969232 71488608 71567388 74181672 75211973 76443264 76527504 77590386 79322976 80424684 83454381 84820608 85998672 89238348 91958976 95318144 95423184 96748506 98908896 102036672 103453848 105763968 107232912 107351082 111272508 114664896 114791256 116385579 118984464 120637026 127230912 128998008 131878528 133857522 137938464 142977216 143134776 145122759 148363344 150423946 153055008 155180772 158645952 160849368 161026623 166908762 171997344 178476696 180955539 183917952 190846368 193497012 197817792 200786283 204073344 206907696 214465824 214702164 222545016 225635919 229329792 229582512 232771158 237968928 241274052 250363143 254461824 257996016 267715044 275876928 285954432 286269552 290245518 296726688 300847892 306110016 310361544 317291904 321698736 322053246 333817524 343994688 349156737 356953392 361911078 381692736 386994024 395635584 401572566 413815392 428931648 429404328 435368277 445090032 451271838 459165024 465542316 475937856 482548104 483079869 500726286 515992032 535430088 542866617 551753856 572539104 580491036 593453376 601695784 602358849 612220032 620723088 643397472 644106492 667635048 676907757 687989376 698313474 713906784 723822156 751089429 763385472 773988048 803145132 827630784 857863296 858808656 870736554 890180064 902543676 918330048 931084632 951875712 965096208 966159738 1001452572 1031984064 1047470211 1070860176 1085733234 1145078208 1160982072 1186906752 1203391568 1204717698 1241446176 1286794944 1288212984 1306104831 1335270096 1353815514 1396626948 1427813568 1447644312 1449239607 1502178858 1547976096 1606290264 1628599851 1655261568 1717617312 1741473108 1780360128 1805087352 1807076547 1836660096 1862169264 1930192416 1932319476 2002905144 2030723271 2063968128 2094940422 2141720352 2171466468 2253268287 2290156416 2321964144 2406783136 2409435396 2482892352 2573589888 2576425968 2612209662 2670540192 2707631028 2793253896 2855627136 2895288624 2898479214 3004357716 3095952192 3212580528 3257199702 3435234624 3482946216 3560720256 3610174704 3614153094 3724338528 3860384832 3864638952 3918314493 4005810288 4061446542 4189880844 4283440704 4342932936 4506536574 4643928288 4813566272 4818870792 4885799553 4965784704 5152851936 5224419324 5341080384 5415262056 5421229641 5586507792 5790577248 5796958428 6008715432 6092169813 6191904384 6425161056 6514399404 6759804861 6870469248 6965892432 7220349408 7228306188 7448677056 7720769664 7729277904 7836628986 8011620576 8122893084 8379761688 8566881408 8685865872 9013073148 9287856576 9627132544 9637741584 9771599106 10305703872 10448838648 10682160768 10830524112 10842459282 11173015584 11581154496 11593916856 11754943479 12017430864 12184339626 12850322112 13028798808 13519609722 13931784864 14440698816 14456612376 14657398659 14897354112 15458555808 15673257972 16023241152 16245786168 16263688923 16759523376 17371731744 18026146296 18276509439 18575713152 19275483168 19543198212 20279414583 20611407744 20897677296 21661048224 21684918564 22346031168 23162308992 23187833712 23509886958 24034861728 24368679252 25700644224 26057597616 27039219444 27863569728 28881397632 28913224752 29314797318 30917111616 31346515944 32046482304 32491572336 32527377846 33519046752 34743463488 35264830437 36052292592 36553018878 38550966336 39086396424 40558829166 41795354592 43322096448 43369837128 43972195977 44692062336 46375667424 47019773916 48069723456 48737358504 48791066769 52115195232 54078438888 54829528317 55727139456 57826449504 58629594636 60838243749 61834223232 62693031888 64983144672 65054755692 67038093504 69486926976 70529660874 72104585184 73106037756 77101932672 78172792848 81117658332 83590709184 86644192896 86739674256 87944391954 92751334848 94039547832 96139446912 97474717008 97582133538 104230390464 105794491311 108156877776 109659056634 115652899008 117259189272 121676487498 125386063776 129966289344 130109511384 131916587931 134076187008 141059321748 144209170368 146212075512 146373200307 156345585696 162235316664 164488584951 167181418368 173479348512 175888783908 182514731247 185502669696 188079095664 194949434016 195164267076 208460780928 211588982622 216313755552 219318113268 231305798016 234518378544 243352974996 250772127552 259932578688 260219022768 263833175862 282118643496 288418340736 292424151024 292746400614 312691171392 324470633328 328977169902 346958697024 351777567816 365029462494 376158191328 389898868032 390328534152 395749763793 423177965244 432627511104 438636226536 469036757088 486705949992 493465754853 501544255104 520438045536 527666351724 547544193741 564237286992 584848302048 585492801228 625382342784 648941266656 657954339804 693917394048 703555135632 730058924988 752316382656 779797736064 780657068304 791499527586 846355930488 865255022208 877272453072 938073514176 973411899984 986931509706 1040876091072 1055332703448 1095088387482 1128474573984 1169696604096 1170985602456 1187249291379 1297882533312 1315908679608 1407110271264 1460117849976 1480397264559 1504632765312 1561314136608 1582999055172 1642632581223 1692711860976 1754544906144 1876147028352 1946823799968 1973863019412 2081752182144 2110665406896 2190176774964 2256949147968 2339393208192 2341971204912 2374498582758 2595765066624 2631817359216 2814220542528 2920235699952 2960794529118 3122628273216 3165998110344 3285265162446 3385423721952 3509089812288 3561747874137 3893647599936 3947726038824 4221330813792 4380353549928 4441191793677 4513898295936 4683942409824 4748997165516 4927897743669 5263634718432 5628441085056 5840471399904 5921589058236 6245256546432 6331996220688 6570530324892 6770847443904 7018179624576 7123495748274 7787295199872 7895452077648 8442661627584 8760707099856 8882383587354 9367884819648 9497994331032 9855795487338 10527269436864 10685243622411 11680942799808 11843178116472 12663992441376 13141060649784 13323575381031 13541694887808 14246991496548 14783693231007 15790904155296 16885323255168 17521414199712 17764767174708 18735769639296 18995988662064 19711590974676 21054538873728 21370487244822 23361885599616 23686356232944 25327984882752 26282121299568 26647150762062 28493982993096 29567386462014 31581808310592 35042828399424 35529534349416 37991977324128 39423181949352 39970726143093 42740974489644 47372712465888 50655969765504 52564242599136 53294301524124 56987965986192 59134772924028 63163616621184 70085656798848 71059068698832 75983954648256 78846363898704 79941452286186 85481948979288 94745424931776 105128485198272 106588603048248 113975931972384 118269545848056 119912178429279 142118137397664 151967909296512 157692727797408 159882904572372 170963897958576 189490849863552 210256970396544 213177206096496 227951863944768 236539091696112 239824356858558 284236274795328 315385455594816 319765809144744 341927795917152 359736535287837 426354412192992 455903727889536 473078183392224 479648713717116 568472549590656 630770911189632 639531618289488 683855591834304 719473070575674 852708824385984 946156366784448 959297427434232 1079209605863511 1279063236578976 1367711183668608 1438946141151348 1705417648771968 1892312733568896 1918594854868464 2158419211727022 2558126473157952 2877892282302696 3837189709736928 4316838423454044 5116252946315904 5755784564605392 7674379419473856 8633676846908088 11511569129210784 15348758838947712 17267353693816176 23023138258421568 34534707387632352 46046276516843136 69069414775264704 138138829550529408
- Sum of all divisors σ(n): 422636947393132800
- Sum of proper divisors (its aliquot sum) s(n): 284498117842603392
- 138138829550529408 is an abundant number, because the sum of its proper divisors (284498117842603392) is greater than itself. Its abundance is 146359288292073984
Bases of 138138829550529408
- Binary: 1111010101100010010001000100110010000110000101011100000002
- Hexadecimal: 0x1EAC488990C2B80
- Base-36: 11S64M7VI000
Squares and roots of 138138829550529408
- 138138829550529408 squared (1381388295505294082) is 19082336229590216805449093072830464
- 138138829550529408 cubed (1381388295505294083) is 2636011591845254967094112676688352396008912230285312
-
The
square root of 138138829550529408 is 371670323.7420623121 -
The
cube root of 138138829550529408 is 516938.1575984463
Scales and comparisons
How big is 138138829550529408?- 138,138,829,550,529,408 seconds is equal to 4,392,387,488 years, 13 weeks, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 138,138,829,550,529,408 would take you about thirteen billion, one hundred seventy-seven million, one hundred sixty-two thousand, four hundred sixty-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 138138829550529408 cubic inches would be around 43078.2 feet tall.
Recreational maths with 138138829550529408
- 138138829550529408 backwards is 804925055928831831
- 138138829550529408 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138138829550529408's digits is 81
- More coming soon!
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"Number 138138829550529408 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 138138829550529408 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138138829550529408/
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The information we have on file for 138138829550529408 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 138138829550529408, math, Factors of 138138829550529408, curriculum, school, college, exams, university, Prime factorization of 138138829550529408, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred thirty-eight trillion, eight hundred twenty-nine billion, five hundred fifty million, five hundred twenty-nine thousand, four hundred eight.