138329975150196480
138,329,975,150,196,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 138329975150196480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138329975150196480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138329975150196480:
28 × 34 × 5 × 7 × 613 × 310930121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 613 × 310930121)See below for interesting mathematical facts about the number 138329975150196480 from the Numbermatics database.
Names of 138329975150196480
- Cardinal: 138329975150196480 can be written as One hundred thirty-eight quadrillion, three hundred twenty-nine trillion, nine hundred seventy-five billion, one hundred fifty million, one hundred ninety-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3832997515019648 × 1017
Factors of 138329975150196480
Divisors of 138329975150196480
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 84 90 96 105 108 112 120 126 128 135 140 144 160 162 168 180 189 192 210 216 224 240 252 256 270 280 288 315 320 324 336 360 378 384 405 420 432 448 480 504 540 560 567 576 613 630 640 648 672 720 756 768 810 840 864 896 945 960 1008 1080 1120 1134 1152 1226 1260 1280 1296 1344 1440 1512 1620 1680 1728 1792 1839 1890 1920 2016 2160 2240 2268 2304 2452 2520 2592 2688 2835 2880 3024 3065 3240 3360 3456 3678 3780 3840 4032 4291 4320 4480 4536 4904 5040 5184 5376 5517 5670 5760 6048 6130 6480 6720 6912 7356 7560 8064 8582 8640 8960 9072 9195 9808 10080 10368 11034 11340 11520 12096 12260 12873 12960 13440 14712 15120 16128 16551 17164 17280 18144 18390 19616 20160 20736 21455 22068 22680 24192 24520 25746 25920 26880 27585 29424 30240 33102 34328 34560 36288 36780 38619 39232 40320 42910 44136 45360 48384 49040 49653 51492 51840 55170 58848 60480 64365 66204 68656 72576 73560 77238 78464 80640 82755 85820 88272 90720 98080 99306 102984 103680 110340 115857 117696 120960 128730 132408 137312 145152 147120 154476 156928 165510 171640 176544 181440 193095 196160 198612 205968 220680 231714 235392 241920 248265 257460 264816 274624 294240 308952 331020 343280 347571 353088 362880 386190 392320 397224 411936 441360 463428 470784 496530 514920 529632 549248 579285 588480 617904 662040 686560 695142 706176 725760 772380 784640 794448 823872 882720 926856 993060 1029840 1059264 1098496 1158570 1176960 1235808 1324080 1373120 1390284 1412352 1544760 1588896 1647744 1737855 1765440 1853712 1986120 2059680 2118528 2317140 2353920 2471616 2648160 2746240 2780568 3089520 3177792 3295488 3475710 3530880 3707424 3972240 4119360 4237056 4634280 4943232 5296320 5492480 5561136 6179040 6355584 6951420 7061760 7414848 7944480 8238720 9268560 9886464 10592640 11122272 12358080 12711168 13902840 14829696 15888960 16477440 18537120 21185280 22244544 24716160 27805680 29659392 31777920 37074240 44489088 49432320 55611360 63555840 74148480 88978176 111222720 148296960 222445440 310930121 444890880 621860242 932790363 1243720484 1554650605 1865580726 2176510847 2487440968 2798371089 3109301210 3731161452 4353021694 4663951815 4974881936 5596742178 6218602420 6529532541 7462322904 8395113267 8706043388 9327903630 9949763872 10882554235 11193484356 12437204840 13059065082 13991855445 14924645808 16790226534 17412086776 18655807260 19588597623 19899527744 21765108470 22386968712 24874409680 25185339801 26118130164 27983710890 29849291616 32647662705 33580453068 34824173552 37311614520 39177195246 39799055488 41975566335 43530216940 44773937424 49748819360 50370679602 52236260328 55967421780 58765792869 59698583232 65295325410 67160906136 69648347104 74623229040 78354390492 79598110976 83951132670 87060433880 89547874848 97942988115 99497638720 100741359204 104472520656 111934843560 117531585738 119397166464 125926699005 130590650820 134321812272 139296694208 149246458080 156708780984 167902265340 174120867760 176297378607 179095749696 190600164173 195885976230 198995277440 201482718408 208945041312 223869687120 235063171476 238794332928 251853398010 261181301640 268643624544 278593388416 293828964345 298492916160 313417561968 335804530680 348241735520 352594757214 358191499392 381200328346 391771952460 397990554880 402965436816 417890082624 447739374240 470126342952 503706796020 522362603280 537287249088 557186776832 571800492519 587657928690 596985832320 626835123936 671609061360 696483471040 705189514428 716382998784 762400656692 783543904920 805930873632 835780165248 881486893035 895478748480 940252685904 953000820865 1007413592040 1044725206560 1074574498176 1143600985038 1175315857380 1193971664640 1253670247872 1334201149211 1343218122720 1392966942080 1410379028856 1524801313384 1567087809840 1611861747264 1671560330496 1715401477557 1762973786070 1790957496960 1880505371808 1906001641730 2014827184080 2089450413120 2149148996352 2287201970076 2350631714760 2507340495744 2668402298422 2686436245440 2785933884160 2820758057712 2859002462595 3049602626768 3134175619680 3223723494528 3430802955114 3525947572140 3581914993920 3761010743616 3812003283460 4002603447633 4029654368160 4178900826240 4574403940152 4701263429520 5014680991488 5146204432671 5336804596844 5372872490880 5641516115424 5718004925190 6099205253536 6268351239360 6447446989056 6671005746055 6861605910228 7051895144280 7522021487232 7624006566920 8005206895266 8059308736320 8357801652480 8577007387785 9148807880304 9402526859040 10292408865342 10673609193688 10745744981760 11283032230848 11436009850380 12007810342899 12198410507072 12536702478720 13342011492110 13723211820456 14103790288560 15044042974464 15248013133840 15438613298013 16010413790532 16118617472640 17154014775570 18297615760608 18805053718080 20013017238165 20584817730684 21347218387376 22566064461696 22872019700760 24015620685798 24396821014144 25073404957440 25731022163355 26684022984220 27446423640912 28207580577120 30496026267680 30877226596026 32020827581064 32237234945280 34308029551140 36023431028697 36595231521216 37610107436160 40026034476330 41169635461368 42694436774752 45132128923392 45744039401520 48031241371596 48793642028288 51462044326710 53368045968440 54892847281824 56415161154240 60039051714495 60992052535360 61754453192052 64041655162128 68616059102280 72046862057394 73190463042432 75220214872320 77193066490065 80052068952660 82339270922736 85388873549504 91488078803040 96062482743192 102924088653420 106736091936880 108070293086091 109785694563648 112830322308480 120078103428990 121984105070720 123508906384104 128083310324256 137232118204560 144093724114788 146380926084864 154386132980130 160104137905320 164678541845472 170777747099008 180117155143485 182976157606080 192124965486384 205848177306840 213472183873760 216140586172182 219571389127296 225660644616960 240156206857980 243968210141440 247017812768208 256166620648512 274464236409120 288187448229576 308772265960260 320208275810640 329357083690944 341555494198016 360234310286970 365952315212160 384249930972768 411696354613680 426944367747520 432281172344364 439142778254592 480312413715960 494035625536416 512333241297024 540351465430455 548928472818240 576374896459152 617544531920520 640416551621280 658714167381888 720468620573940 731904630424320 768499861945536 823392709227360 853888735495040 864562344688728 960624827431920 988071251072832 1024666482594048 1080702930860910 1097856945636480 1152749792918304 1235089063841040 1280833103242560 1317428334763776 1440937241147880 1536999723891072 1646785418454720 1707777470990080 1729124689377456 1921249654863840 1976142502145664 2161405861721820 2195713891272960 2305499585836608 2470178127682080 2561666206485120 2881874482295760 3073999447782144 3293570836909440 3458249378754912 3842499309727680 3952285004291328 4322811723443640 4610999171673216 4940356255364160 5123332412970240 5763748964591520 6587141673818880 6916498757509824 7684998619455360 8645623446887280 9221998343346432 9880712510728320 11527497929183040 13832997515019648 15369997238910720 17291246893774560 19761425021456640 23054995858366080 27665995030039296 34582493787549120 46109991716732160 69164987575098240 138329975150196480
- Sum of all divisors σ(n): 566602747644314304
- Sum of proper divisors (its aliquot sum) s(n): 428272772494117824
- 138329975150196480 is an abundant number, because the sum of its proper divisors (428272772494117824) is greater than itself. Its abundance is 289942797343921344
Bases of 138329975150196480
- Binary: 1111010110111001001100001001001101001110110110111000000002
- Hexadecimal: 0x1EB7261269DB700
- Base-36: 11U1VTAMB400
Squares and roots of 138329975150196480
- 138329975150196480 squared (1383299751501964802) is 19135182025053975669534982604390400
- 138329975150196480 cubed (1383299751501964803) is 2646969254020202812339761360860556546280670625792000
-
The
square root of 138329975150196480 is 371927378.8660852001 -
The
cube root of 138329975150196480 is 517176.4804366193
Scales and comparisons
How big is 138329975150196480?- 138,329,975,150,196,480 seconds is equal to 4,398,465,327 years, 3 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 138,329,975,150,196,480 would take you about thirteen billion, one hundred ninety-five million, three hundred ninety-five thousand, nine hundred eighty-one 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 138329975150196480 cubic inches would be around 43098 feet tall.
Recreational maths with 138329975150196480
- 138329975150196480 backwards is 084691051579923831
- 138329975150196480 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138329975150196480's digits is 81
- 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 138329975150196480 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138329975150196480 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138329975150196480/
Chicago style:
Numbermatics. 2024. "Number 138329975150196480 - Facts about the integer". https://numbermatics.com/n/138329975150196480/
The information we have on file for 138329975150196480 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 138329975150196480, math, Factors of 138329975150196480, curriculum, school, college, exams, university, Prime factorization of 138329975150196480, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred twenty-nine trillion, nine hundred seventy-five billion, one hundred fifty million, one hundred ninety-six thousand, four hundred eighty.