138261536275968
138,261,536,275,968 is an even composite number composed of six prime numbers multiplied together.
138261536275968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138261536275968:
29 × 32 × 72 × 73 × 127 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 73 × 127 × 257 × 257)See below for interesting mathematical facts about the number 138261536275968 from the Numbermatics database.
Names of 138261536275968
- Cardinal: 138261536275968 can be written as One hundred thirty-eight trillion, two hundred sixty-one billion, five hundred thirty-six million, two hundred seventy-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38261536275968 × 1014
Factors of 138261536275968
Divisors of 138261536275968
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 73 84 96 98 112 126 127 128 144 146 147 168 192 196 219 224 252 254 256 257 288 292 294 336 381 384 392 438 441 448 504 508 511 512 514 576 584 588 657 672 762 768 771 784 876 882 889 896 1008 1016 1022 1028 1143 1152 1168 1176 1314 1344 1524 1533 1536 1542 1568 1752 1764 1778 1792 1799 2016 2032 2044 2056 2286 2304 2313 2336 2352 2628 2667 2688 3048 3066 3084 3136 3504 3528 3556 3577 3584 3598 4032 4064 4088 4112 4572 4599 4608 4626 4672 4704 5256 5334 5376 5397 6096 6132 6168 6223 6272 7008 7056 7112 7154 7196 8001 8064 8128 8176 8224 9144 9198 9252 9271 9344 9408 10512 10668 10731 10752 10794 12192 12264 12336 12446 12544 12593 14016 14112 14224 14308 14392 16002 16128 16191 16256 16352 16448 18288 18396 18504 18542 18669 18688 18761 18816 21024 21336 21462 21588 24384 24528 24672 24892 25088 25186 27813 28032 28224 28448 28616 28784 32004 32193 32256 32382 32512 32639 32704 32896 36576 36792 37008 37084 37338 37376 37522 37632 37779 42048 42672 42924 43176 48768 49056 49344 49784 50372 55626 56007 56064 56283 56448 56896 57232 57568 64008 64386 64764 64897 65024 65278 65408 65792 66049 73152 73584 74016 74168 74676 75044 75264 75558 83439 84096 85344 85848 86352 97536 97917 98112 98688 99568 100744 111252 112014 112128 112566 112896 113337 113792 114464 115136 128016 128772 129528 129794 130556 130816 131327 131584 132098 146304 147168 148032 148336 149352 150088 151116 166878 168192 168849 170688 171696 172704 194691 195072 195834 196224 197376 198147 199136 201488 222504 224028 225132 225792 226674 227584 228473 228928 230272 256032 257544 259056 259588 261112 261632 262654 264196 292608 293751 294336 296064 296672 298704 300176 302232 333756 336384 337698 341376 343392 345408 389382 391668 392448 393981 394752 396294 398272 402976 445008 448056 450264 453348 454279 455168 456946 457856 460544 462343 512064 515088 518112 519176 522224 525308 528392 584073 585216 587502 588672 592128 593344 594441 597408 600352 604464 667512 675396 682752 685419 686784 690816 778764 783336 784896 787962 792588 796544 805952 890016 896112 900528 906696 908558 913892 915712 919289 921088 924686 1024128 1030176 1036224 1038352 1044448 1050616 1056784 1168146 1175004 1177344 1181943 1184256 1186688 1188882 1194816 1200704 1208928 1335024 1350792 1362837 1365504 1370838 1373568 1381632 1387029 1557528 1566672 1575924 1585176 1593088 1599311 1611904 1780032 1792224 1801056 1813392 1817116 1827784 1831424 1838578 1849372 2048256 2056257 2060352 2072448 2076704 2088896 2101232 2113568 2336292 2350008 2354688 2363886 2373376 2377764 2382647 2389632 2401408 2417856 2670048 2701584 2725674 2741676 2747136 2757867 2763264 2774058 3115056 3133344 3151848 3170352 3186176 3198622 3223808 3236401 3560064 3584448 3602112 3626784 3634232 3655568 3677156 3698744 4088511 4096512 4112514 4120704 4144896 4153408 4161087 4177792 4202464 4227136 4672584 4700016 4727772 4746752 4755528 4765294 4779264 4797933 4802816 4821577 4835712 5340096 5403168 5451348 5483352 5494272 5515734 5548116 6230112 6266688 6303696 6340704 6397244 6447616 6472802 7120128 7147941 7168896 7204224 7253568 7268464 7311136 7354312 7397488 8177022 8225028 8241408 8273601 8289792 8306816 8322174 8355584 8388223 8404928 8454272 9345168 9400032 9455544 9511056 9530588 9558528 9595866 9605632 9643154 9671424 9709203 10680192 10806336 10902696 10966704 11031468 11096232 12460224 12533376 12607392 12681408 12794488 12945604 14240256 14295882 14337792 14393799 14408448 14464731 14507136 14536928 14622272 14708624 14794976 16354044 16450056 16482816 16547202 16613632 16644348 16678529 16711168 16776446 16809856 16908544 18690336 18800064 18911088 19022112 19061176 19191732 19286308 19342848 19418406 21360384 21443823 21612672 21805392 21933408 22062936 22192464 24920448 25066752 25164669 25214784 25362816 25588976 25891208 28591764 28675584 28787598 28816896 28929462 29014272 29073856 29127609 29244544 29417248 29589952 32708088 32900112 33094404 33227264 33288696 33357058 33552892 33619712 33751039 33817088 37380672 37600128 37822176 38044224 38122352 38383464 38572616 38836812 42720768 42887646 43225344 43394193 43610784 43866816 44125872 44384928 49840896 50035587 50133504 50329338 50429568 50725632 51177952 51782416 57183528 57575196 57858924 58028544 58147712 58255218 58489088 58717561 58834496 59179904 65416176 65800224 66188808 66577392 66714116 67105784 67239424 67502078 74761344 75200256 75494007 75644352 76088448 76244704 76766928 77145232 77673624 85775292 86450688 86788386 87221568 87733632 88251744 88769856 99681792 100071174 100658676 100859136 101253117 101451264 102355904 103564832 114367056 115150392 115717848 116295424 116510436 116749703 116978176 117435122 117668992 118359808 130832352 131600448 132377616 133154784 133428232 134211568 135004156 149522688 150106761 150400512 150988014 151288704 152176896 152489408 153533856 154290464 155347248 171550584 173576772 174443136 175467264 176152683 176503488 177539712 200142348 201317352 201718272 202506234 204711808 207129664 228734112 230300784 231435696 232590848 233020872 233499406 234870244 235337984 236257273 236719616 261664704 263200896 264755232 266309568 266856464 268423136 270008312 299045376 300213522 301976028 302577408 303759351 304353792 304978816 307067712 308580928 310694496 343101168 347153544 348886272 350249109 350934528 352305366 353006976 355079424 400284696 402634704 405012468 409423616 411022927 414259328 457468224 460601568 462871392 466041744 466998812 469740488 470675968 472514546 523329408 526401792 528458049 529510464 532619136 533712928 536846272 540016624 600427044 603952056 605154816 607518702 609957632 612340279 614135424 617161856 621388992 686202336 694307088 697772544 700498218 704610732 706013952 708771819 710158848 800569392 805269408 810024936 818847232 822045854 828518656 914936448 921203136 925742784 932083488 933997624 939480976 945029092 1046658816 1050747327 1052803584 1056916098 1059020928 1065238272 1067425856 1073692544 1080033248 1200854088 1207904112 1215037404 1219915264 1224680558 1228270848 1233068781 1234323712 1242777984 1372404672 1388614176 1400996436 1409221464 1412027904 1417543638 1601138784 1610538816 1620049872 1644091708 1657037312 1829872896 1837020837 1842406272 1851485568 1864166976 1867995248 1878961952 1890058184 2093317632 2101494654 2113832196 2118041856 2126315457 2130476544 2134851712 2147385088 2160066496 2401708176 2415808224 2430074808 2449361116 2456541696 2466137562 2468647424 2485555968 2744809344 2777228352 2801992872 2818442928 2835087276 3202277568 3221077632 3240099744 3288183416 3659745792 3674041674 3684812544 3699206343 3702971136 3728333952 3735990496 3757923904 3780116368 4202989308 4227664392 4236083712 4252630914 4269703424 4286381953 4294770176 4320132992 4803416352 4831616448 4860149616 4898722232 4932275124 4971111936 5489618688 5511062511 5554456704 5603985744 5636885856 5670174552 6404555136 6442155264 6480199488 6576366832 7348083348 7369625088 7398412686 7405942272 7456667904 7471980992 7515847808 7560232736 8405978616 8455328784 8505261828 8539406848 8572763906 8640265984 9606832704 9663232896 9720299232 9797444464 9864550248 10979237376 11022125022 11108913408 11207971488 11273771712 11340349104 12809110272 12859145859 12884310528 12960398976 13152733664 14696166696 14796825372 14913335808 14943961984 15031695616 15120465472 16811957232 16910657568 17010523656 17145527812 17280531968 19213665408 19326465792 19440598464 19594888928 19729100496 22044250044 22217826816 22415942976 22547543424 22680698208 25618220544 25718291718 25920797952 26305467328 29392333392 29593650744 29887923968 30004673671 30063391232 30240930944 33623914464 33821315136 34021047312 34291055624 38427330816 38577437577 38652931584 38881196928 39189777856 39458200992 44088500088 44831885952 45095086848 45361396416 51436583436 51841595904 52610934656 58784666784 59187301488 59775847936 60009347342 60481861888 67247828928 67642630272 68042094624 68582111248 76854661632 77154875154 77762393856 78379555712 78916401984 88177000176 89663771904 90014021013 90190173696 90722792832 102873166872 105221869312 117569333568 118374602976 120018694684 120963723776 134495657856 135285260544 136084189248 137164222496 154309750308 155524787712 156759111424 157832803968 176354000352 179327543808 180028042026 181445585664 205746333744 210443738624 235138667136 236749205952 240037389368 268991315712 270042063039 270570521088 272168378496 274328444992 308619500616 313518222848 315665607936 352708000704 360056084052 362891171328 411492667488 470277334272 473498411904 480074778736 537982631424 540084126078 544336756992 548656889984 617239001232 631331215872 705416001408 720112168104 822985334976 940554668544 946996823808 960149557472 1080168252156 1088673513984 1097313779968 1234478002464 1410832002816 1440224336208 1645970669952 1893993647616 1920299114944 2160336504312 2194627559936 2468956004928 2821664005632 2880448672416 3291941339904 3840598229888 4320673008624 4937912009856 5760897344832 6583882679808 7681196459776 8641346017248 9875824019712 11521794689664 15362392919552 17282692034496 19751648039424 23043589379328 34565384068992 46087178758656 69130768137984 138261536275968
- Sum of all divisors σ(n): 476096413807872
- Sum of proper divisors (its aliquot sum) s(n): 337834877531904
- 138261536275968 is an abundant number, because the sum of its proper divisors (337834877531904) is greater than itself. Its abundance is 199573341255936
Bases of 138261536275968
- Binary: 111110110111111100001011100000101111110000000002
- Hexadecimal: 0x7DBF85C17E00
- Base-36: 1D0CH0W3K0
Squares and roots of 138261536275968
- 138261536275968 squared (1382615362759682) is 19116252413390815209854337024
- 138261536275968 cubed (1382615362759683) is 2643042426514595025225259465032990543839232
-
The
square root of 138261536275968 is 11758466.5784262873 -
The
cube root of 138261536275968 is 51709.1175197229
Scales and comparisons
How big is 138261536275968?- 138,261,536,275,968 seconds is equal to 4,396,289 years, 9 weeks, 3 days, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,261,536,275,968 would take you about ten million, nine hundred ninety thousand, seven hundred twenty-two 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 138261536275968 cubic inches would be around 4309.1 feet tall.
Recreational maths with 138261536275968
- 138261536275968 backwards is 869572635162831
- 138261536275968 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138261536275968's digits is 72
- 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 138261536275968 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 138261536275968 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138261536275968/
Chicago style:
Numbermatics. 2024. "Number 138261536275968 - Facts about the integer". https://numbermatics.com/n/138261536275968/
The information we have on file for 138261536275968 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 138261536275968, math, Factors of 138261536275968, curriculum, school, college, exams, university, Prime factorization of 138261536275968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, two hundred sixty-one billion, five hundred thirty-six million, two hundred seventy-five thousand, nine hundred sixty-eight.