138139797907584
138,139,797,907,584 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138139797907584 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
138139797907584 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138139797907584:
27 × 33 × 11 × 17 × 61 × 211 × 16607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 17 × 61 × 211 × 16607)See below for interesting mathematical facts about the number 138139797907584 from the Numbermatics database.
Names of 138139797907584
- Cardinal: 138139797907584 can be written as One hundred thirty-eight trillion, one hundred thirty-nine billion, seven hundred ninety-seven million, nine hundred seven thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.38139797907584 × 1014
Factors of 138139797907584
Divisors of 138139797907584
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 61 64 66 68 72 88 96 99 102 108 122 128 132 136 144 153 176 183 187 192 198 204 211 216 244 264 272 288 297 306 352 366 374 384 396 408 422 432 459 488 528 544 549 561 576 594 612 633 671 704 732 748 792 816 844 864 918 976 1037 1056 1088 1098 1122 1152 1188 1224 1266 1342 1408 1464 1496 1584 1632 1647 1683 1688 1728 1836 1899 1952 2013 2074 2112 2176 2196 2244 2321 2376 2448 2532 2684 2928 2992 3111 3168 3264 3294 3366 3376 3456 3587 3672 3798 3904 4026 4148 4224 4392 4488 4642 4752 4896 5049 5064 5368 5697 5856 5984 6039 6222 6336 6528 6588 6732 6752 6963 7174 7344 7596 7808 8052 8296 8784 8976 9284 9333 9504 9792 10098 10128 10736 10761 11394 11407 11712 11968 12078 12444 12672 12871 13176 13464 13504 13926 14348 14688 15192 16104 16592 16607 17568 17952 18117 18568 18666 19008 19584 20196 20256 20889 21472 21522 22788 22814 23424 23936 24156 24888 25742 26352 26928 27008 27852 27999 28696 29376 30384 32208 32283 33184 33214 34221 35136 35904 36234 37136 37332 38016 38613 39457 40392 40512 41778 42944 43044 45576 45628 48312 49776 49821 51484 52704 53856 55704 55998 57392 58752 60768 62667 64416 64566 66368 66428 68442 70272 71808 72468 74272 74664 77226 78914 80784 81024 83556 85888 86088 91152 91256 96624 96849 99552 99642 102663 102968 105408 107712 111408 111996 114784 115839 118371 121536 125334 128832 129132 132736 132856 136884 141581 144936 148544 149328 149463 154452 157828 161568 167112 172176 182304 182512 182677 193248 193698 199104 199284 205326 205936 210816 215424 218807 222816 223992 229568 231678 236742 243072 250668 257664 258264 265712 273768 282319 283162 289872 297088 298656 298926 307989 308904 315656 323136 334224 344352 347517 355113 364608 365024 365354 386496 387396 398208 398568 410652 411872 424743 437614 445632 447984 448389 459136 463356 473484 501336 516528 531424 547536 548031 564638 566324 579744 597312 597852 615978 617808 631312 646272 656421 668448 688704 695034 710226 729216 730048 730708 772992 774792 797136 821304 823744 846957 849486 875228 891264 895968 896778 926712 946968 1002672 1013027 1033056 1062848 1065339 1095072 1096062 1129276 1132648 1159488 1194624 1195704 1231956 1235616 1262624 1274229 1312842 1336896 1377408 1390068 1420452 1460096 1461416 1549584 1594272 1642608 1644093 1647488 1693914 1698972 1750456 1791936 1793556 1853424 1893936 1969263 2005344 2026054 2066112 2125696 2130678 2190144 2192124 2258552 2265296 2318976 2391408 2406877 2463912 2471232 2525248 2540871 2548458 2625684 2673792 2780136 2840904 2922832 3039081 3099168 3105509 3188544 3285216 3288186 3387828 3397944 3500912 3504077 3583872 3587112 3706848 3787872 3822687 3938526 4010688 4052108 4132224 4261356 4380288 4384248 4517104 4530592 4782816 4813754 4927824 4932279 4942464 5050496 5081742 5096916 5251368 5560272 5681808 5845664 5907789 6078162 6198336 6211018 6377088 6570432 6576372 6775656 6795888 7001824 7008154 7174224 7220631 7413696 7575744 7622613 7645374 7877052 8021376 8104216 8522712 8768496 9034208 9061184 9117243 9316527 9565632 9627508 9855648 9864558 10163484 10193832 10502736 10512231 11120544 11143297 11363616 11691328 11815578 12156324 12396672 12422036 13140864 13152744 13551312 13591776 14003648 14016308 14348448 14441262 14827392 15151488 15245226 15290748 15754104 16208432 17045424 17221459 17536992 18068416 18122368 18234486 18633054 19131264 19255016 19711296 19729116 20326968 20387664 21005472 21024462 21661893 22241088 22286594 22727232 23382656 23631156 24312648 24844072 26305488 27102624 27183552 27351729 27949581 28007296 28032616 28696896 28882524 30490452 30581496 31508208 31536693 32416864 33429891 34090848 34442918 35073984 36136832 36468972 37266108 38510032 38544847 39422592 39458232 40653936 40775328 42010944 42048924 43323786 44482176 44573188 45454464 47262312 48625296 49688144 51664377 52610976 54205248 54367104 54703458 55899162 56065232 57393792 57765048 59569309 60980904 61162992 63016416 63073386 64833728 64985679 66859782 68181696 68885836 70147968 72937944 74532216 77020064 77089694 78916464 81307872 81550656 83848743 84021888 84097848 86647572 89146376 94524624 94610079 97250592 99376288 100289673 103328754 105221952 108410496 109406916 111798324 112130464 115530096 115634541 119138618 121961808 122325984 126032832 126146772 129667456 129971358 133719564 136363392 137771672 145875888 149064432 154040128 154179388 154993131 157832928 162615744 163101312 167697486 168195696 173295144 178292752 178707927 189049248 189220158 189436049 194501184 198752576 200579346 206657508 210443904 213748697 218813832 223596648 224260928 231060192 231269082 238277236 243923616 244651968 252065664 252293544 259942716 267439128 275543344 291751776 298128864 300869019 308080256 308358776 309986262 315665856 325231488 335394972 336391392 346590288 346903623 356585504 357415854 378098496 378440316 378872098 389002368 397505152 401158692 413315016 427497394 437627664 447193296 448521856 462120384 462538164 464979393 476554472 487847232 489303936 504587088 519885432 534878256 536123781 551086688 568308147 583503552 596257728 601738038 616717552 619972524 631331712 641246091 655262399 670789944 672782784 693180576 693807246 713171008 714831708 756196992 756880632 757744196 802317384 826630032 854994788 875255328 894386592 924240768 925076328 929958786 953108944 975694464 1009174176 1039770864 1040710869 1069756512 1072247562 1102173376 1136616294 1167007104 1192515456 1203476076 1233435104 1239945048 1282492182 1310524798 1341579888 1345565568 1386361152 1387614492 1426342016 1429663416 1513761264 1515488392 1604634768 1608371343 1653260064 1704924441 1709989576 1750510656 1788773184 1850152656 1859917572 1906217888 1923738273 1965787197 2018348352 2079541728 2081421738 2139513024 2144495124 2204346752 2273232588 2351235667 2406952152 2466870208 2479890096 2564984364 2621049596 2683159776 2772722304 2775228984 2859326832 3027522528 3030976784 3209269536 3216742686 3306520128 3409848882 3419979152 3501021312 3577546368 3633727849 3700305312 3719835144 3812435776 3847476546 3931574394 4036696704 4159083456 4162843476 4279026048 4288990248 4546465176 4702471334 4813904304 4933740416 4959780192 5114773323 5129968728 5242099192 5366319552 5550457968 5718653664 5771214819 5897361591 6055045056 6061953568 6418539072 6433485372 6613040256 6819697764 6839958304 7053707001 7267455698 7400610624 7439670288 7624871552 7694953092 7863148788 8318166912 8325686952 8577980496 9092930352 9404942668 9627808608 9919560384 10229546646 10259937456 10484198384 10732639104 10901183547 11100915936 11437307328 11542429638 11794723182 12110090112 12123907136 12837078144 12866970744 13639395528 13679916608 14107414002 14534911396 14801221248 14879340576 15389906184 15726297576 16651373904 17155960992 17692084773 18185860704 18809885336 19255617216 19839120768 20459093292 20519874912 20968396768 21161121003 21802367094 22201831872 22874614656 23084859276 23589446364 24247814272 25733941488 27278791056 27359833216 28214828004 29069822792 29758681152 30779812368 31452595152 32703550641 33302747808 34311921984 35384169546 36371721408 37619770672 38511234432 39971006339 40918186584 41039749824 41936793536 42322242006 43604734188 44403663744 46169718552 47178892728 51467882976 54557582112 56429656008 58139645584 59517362304 61559624736 62905190304 63483363009 65407101282 66605495616 68623843968 70768339092 72743442816 75239541344 79942012678 81836373168 82079499648 83873587072 84644484012 87209468376 92339437104 94357785456 98110651923 102935765952 109115164224 112859312016 116279291168 119913019017 123119249472 125810380608 126966726018 130814202564 133210991232 141536678184 150479082688 159884025356 163672746336 169288968024 174418936752 184678874208 188715570912 196221303846 205871531904 218230328448 225718624032 232558582336 239826038034 246238498944 251620761216 253933452036 261628405128 283073356368 300958165376 319768050712 327345492672 338577936048 348837873504 359739057051 369357748416 377431141824 392442607692 451437248064 465117164672 479652076068 507866904072 523256810256 566146712736 639536101424 654690985344 677155872096 697675747008 719478114102 738715496832 754862283648 784885215384 902874496128 959304152136 1015733808144 1046513620512 1079217171153 1132293425472 1279072202848 1354311744192 1395351494016 1438956228204 1569770430768 1918608304272 2031467616288 2093027241024 2158434342306 2264586850944 2558144405696 2708623488384 2877912456408 3139540861536 3837216608544 4062935232576 4186054482048 4316868684612 5116288811392 5755824912816 6279081723072 7674433217088 8125870465152 8633737369224 11511649825632 12558163446144 15348866434176 17267474738448 23023299651264 34534949476896 46046599302528 69069898953792 138139797907584
- Sum of all divisors σ(n): 480948760166400
- Sum of proper divisors (its aliquot sum) s(n): 342808962258816
- 138139797907584 is an abundant number, because the sum of its proper divisors (342808962258816) is greater than itself. Its abundance is 204669164351232
Bases of 138139797907584
- Binary: 111110110100011001011011001010101101000100000002
- Hexadecimal: 0x7DA32D956880
- Base-36: 1CYSJP0DC0
Squares and roots of 138139797907584
- 138139797907584 squared (1381397979075842) is 19082603765948148864604717056
- 138139797907584 cubed (1381397979075843) is 2636067027778578652996560838491685156552704
-
The
square root of 138139797907584 is 11753288.8123956181 -
The
cube root of 138139797907584 is 51693.9365512601
Scales and comparisons
How big is 138139797907584?- 138,139,797,907,584 seconds is equal to 4,392,418 years, 14 weeks, 3 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,139,797,907,584 would take you about ten million, nine hundred eighty-one thousand and forty-five 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 138139797907584 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138139797907584
- 138139797907584 backwards is 485709797931831
- The number of decimal digits it has is: 15
- The sum of 138139797907584'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 138139797907584 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 138139797907584 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138139797907584/
Chicago style:
Numbermatics. 2024. "Number 138139797907584 - Facts about the integer". https://numbermatics.com/n/138139797907584/
The information we have on file for 138139797907584 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 138139797907584, math, Factors of 138139797907584, curriculum, school, college, exams, university, Prime factorization of 138139797907584, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-nine billion, seven hundred ninety-seven million, nine hundred seven thousand, five hundred eighty-four.