135138743221248
135,138,743,221,248 is an even composite number composed of six prime numbers multiplied together.
135138743221248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 135138743221248:
210 × 33 × 13 × 173 × 103 × 743
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 17 × 17 × 17 × 103 × 743)See below for interesting mathematical facts about the number 135138743221248 from the Numbermatics database.
Names of 135138743221248
- Cardinal: 135138743221248 can be written as One hundred thirty-five trillion, one hundred thirty-eight billion, seven hundred forty-three million, two hundred twenty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.35138743221248 × 1014
Factors of 135138743221248
Divisors of 135138743221248
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 32 34 36 39 48 51 52 54 64 68 72 78 96 102 103 104 108 117 128 136 144 153 156 192 204 206 208 216 221 234 256 272 288 289 306 309 312 351 384 408 412 416 432 442 459 468 512 544 576 578 612 618 624 663 702 743 768 816 824 832 864 867 884 918 927 936 1024 1088 1152 1156 1224 1236 1248 1326 1339 1404 1486 1536 1632 1648 1664 1728 1734 1751 1768 1836 1854 1872 1989 2176 2229 2304 2312 2448 2472 2496 2601 2652 2678 2781 2808 2972 3072 3264 3296 3328 3456 3468 3502 3536 3672 3708 3744 3757 3978 4017 4352 4458 4608 4624 4896 4913 4944 4992 5202 5253 5304 5356 5562 5616 5944 5967 6528 6592 6656 6687 6912 6936 7004 7072 7344 7416 7488 7514 7803 7956 8034 8704 8916 9216 9248 9659 9792 9826 9888 9984 10404 10506 10608 10712 11124 11232 11271 11888 11934 12051 12631 13056 13184 13312 13374 13824 13872 14008 14144 14688 14739 14832 14976 15028 15606 15759 15912 16068 17408 17832 18496 19318 19584 19652 19776 19968 20061 20808 21012 21216 21424 22248 22464 22542 22763 23776 23868 24102 25262 26112 26368 26748 27648 27744 28016 28288 28977 29376 29478 29664 29767 29952 30056 31212 31518 31824 32136 33813 35664 36153 36992 37893 38636 39168 39304 39552 39936 40122 41616 42024 42432 42848 44217 44496 44928 45084 45526 47277 47552 47736 48204 50524 52224 52736 53496 55488 56032 56576 57954 58752 58956 59328 59534 59904 60112 62424 63036 63648 63869 64272 67626 68289 71328 72306 73984 75786 76529 77272 78336 78608 79104 80244 83232 84048 84864 85696 86931 88434 88992 89301 89856 90168 91052 94554 95104 95472 96408 101048 101439 105472 106992 110976 112064 113152 113679 115908 117504 117912 118656 119068 119808 120224 124848 126072 127296 127738 128544 132651 135252 136578 142656 144612 147968 151572 153058 154544 156672 157216 158208 160488 164203 166464 168096 169728 171392 173862 176868 177984 178602 179712 180336 182104 189108 190208 190944 191607 192816 202096 202878 204867 213984 214727 221952 224128 226304 227358 229587 231816 235008 235824 237312 238136 240448 249696 252144 254592 255476 257088 260793 265302 267903 270504 273156 285312 289224 295936 303144 306116 309088 314432 316416 320976 328406 332928 336192 339456 341037 342784 347724 353736 355968 357204 359424 360672 364208 378216 380416 381888 383214 385632 386971 404192 405756 409734 427968 429454 443904 448256 454716 459174 463632 470016 471648 474624 476272 480896 492609 499392 504288 506039 509184 510952 514176 521586 530604 535806 541008 546312 570624 574821 578448 606288 612232 614601 618176 628864 641952 644181 656812 665856 672384 678912 682074 685568 688761 695448 707472 711936 714408 721344 728416 756432 760832 763776 766428 771264 773942 803709 808384 811512 819468 855936 858908 887808 896512 909432 918348 927264 943296 949248 952544 961792 985218 994877 998784 1008576 1012078 1018368 1021904 1028352 1043172 1061208 1071612 1082016 1092624 1141248 1149642 1156896 1160913 1212576 1224464 1229202 1236352 1257728 1283904 1288362 1300993 1313624 1331712 1344768 1364148 1371136 1377522 1390896 1414944 1423872 1428816 1442688 1456832 1477827 1512864 1518117 1527552 1532856 1542528 1547884 1607418 1616768 1623024 1638936 1711872 1717816 1724463 1793024 1818864 1836696 1854528 1886592 1905088 1923584 1932543 1970436 1989754 1997568 2017152 2024156 2036736 2043808 2056704 2066283 2086344 2122416 2143224 2164032 2185248 2282496 2299284 2313792 2321826 2425152 2448928 2458404 2472704 2515456 2567808 2576724 2601986 2627248 2663424 2689536 2728296 2755044 2781792 2791451 2829888 2847744 2857632 2885376 2913664 2955654 2984631 3025728 3036234 3055104 3065712 3085056 3095768 3214836 3233536 3246048 3277872 3423744 3435632 3448926 3482739 3637728 3650359 3673392 3709056 3773184 3810176 3847168 3865086 3902979 3940872 3979508 3995136 4034304 4048312 4087616 4113408 4132566 4172688 4244832 4286448 4328064 4370496 4433481 4554351 4598568 4627584 4643652 4850304 4897856 4916808 4945408 5030912 5135616 5153448 5203972 5254496 5379072 5456592 5510088 5563584 5582902 5659776 5715264 5770752 5797629 5827328 5911308 5969262 6051456 6072468 6110208 6131424 6170112 6191536 6429672 6467072 6492096 6555744 6578507 6847488 6871264 6897852 6965478 7275456 7300718 7346784 7418112 7546368 7620352 7730172 7805958 7881744 7959016 7990272 8068608 8096624 8175232 8265132 8345376 8374353 8489664 8572896 8656128 8740992 8866962 8953893 9108702 9197136 9255168 9287304 9700608 9795712 9833616 9890816 10271232 10306896 10407944 10448217 10508992 10913184 10951077 11020176 11127168 11165804 11319552 11430528 11541504 11595258 11654656 11708937 11822616 11938524 12102912 12144936 12262848 12340224 12383072 12859344 12934144 12984192 13111488 13157014 13663053 13742528 13795704 13930956 14550912 14601436 14693568 14836224 15092736 15240704 15460344 15611916 15763488 15918032 16137216 16193248 16350464 16530264 16690752 16748706 16912909 16979328 17145792 17312256 17481984 17733924 17907786 18217404 18394272 18510336 18574608 19401216 19591424 19667232 19735521 20542464 20613792 20815888 20896434 21017984 21826368 21902154 22040352 22116881 22254336 22331608 22639104 22861056 23190516 23309312 23417874 23645232 23877048 24205824 24289872 24525696 24766144 25123059 25718688 25968384 26222976 26314028 26861679 27326106 27485056 27591408 27861912 29101824 29202872 29387136 29672448 30481408 30920688 31223832 31526976 31836064 32386496 32700928 32853231 33060528 33381504 33497412 33825818 33958656 34291584 34624512 34963968 35126811 35467848 35815572 36434808 36788544 37020672 37149216 38802432 39182848 39334464 39471042 41227584 41631776 41792868 42035968 43652736 43804308 44080704 44233762 44508672 44663216 45278208 45722112 46381032 46835748 47290464 47454667 47754096 48411648 48579744 49051392 49532288 50246118 50738727 51437376 51936768 52445952 52628056 53723358 54652212 54970112 55182816 55723824 58203648 58405744 58774272 59206563 61841376 62447664 63053952 63672128 64772992 65401856 65706462 66121056 66350643 66763008 66994824 67651636 67917312 68583168 69927936 70253622 70935696 71631144 72869616 73577088 74298432 75369177 78365696 78668928 78942084 82455168 83263552 83585736 84071936 87305472 87608616 88161408 88467524 89017344 89326432 91444224 92762064 93671496 94580928 94909334 95508192 97159488 98102784 98559693 99064576 100492236 101477454 102874752 103873536 104891904 105256112 107446716 109304424 109940224 110365632 111447648 116407296 116811488 117548544 118413126 123682752 124895328 126107904 127344256 129545984 131412924 132242112 132701286 133526016 133989648 135303272 135834624 137166336 140507244 141871392 142364001 143262288 145739232 147154176 148596864 150738354 152216181 157337856 157884168 164910336 166527104 167171472 168143872 174610944 175217232 176322816 176935048 177619689 178652864 185524128 187342992 189161856 189818668 191016384 194318976 196205568 197119386 198129152 199051929 200984472 202954908 205749504 209783808 210512224 214893432 218608848 219880448 220731264 222895296 233622976 235097088 236826252 247365504 249790656 252215808 254688512 259091968 262825848 264484224 265402572 267052032 267979296 270606544 274332672 281014488 283742784 284728002 286524576 287519453 291478464 294308352 297193728 301476708 304432362 314675712 315768336 329820672 333054208 334342944 349221888 350434464 352645632 353870096 355239378 357305728 371048256 374685984 375986977 378323712 379637336 382032768 388637952 394238772 396258304 398103858 401968944 405909816 411499008 421024448 427092003 429786864 437217696 441462528 445790592 456648543 467245952 473652504 494731008 499581312 504431616 509377024 518183936 525651696 528968448 530805144 535958592 541213088 562028976 567485568 569456004 573049152 575038906 582956928 588616704 594387456 597155787 602953416 608864724 629351424 631536672 659641344 666108416 668685888 700868928 705291264 707740192 710478756 714611456 742096512 749371968 751973954 756647424 759274672 764065536 777275904 788477544 796207716 803937888 811819632 822998016 842048896 854184006 859573728 862558359 874435392 882925056 891581184 913297086 934491904 947305008 989462016 999162624 1018754048 1051303392 1057936896 1061610288 1071917184 1082426176 1124057952 1127960931 1134971136 1138912008 1146098304 1150077812 1165913856 1188774912 1194311574 1205906832 1217729448 1263073344 1281276009 1332216832 1337371776 1401737856 1415480384 1420957512 1429222912 1484193024 1498743936 1503947908 1513294848 1518549344 1528131072 1554551808 1576955088 1592415432 1607875776 1623639264 1684097792 1708368012 1719147456 1725116718 1748870784 1765850112 1783162368 1826594172 1868983808 1894610016 1978924032 1998325248 2102606784 2115873792 2123220576 2143834368 2164852352 2248115904 2255921862 2269942272 2277824016 2292196608 2300155624 2331827712 2388623148 2411813664 2435458896 2526146688 2562552018 2587675077 2674743552 2803475712 2830960768 2841915024 2858445824 2968386048 2997487872 3007895816 3037098688 3056262144 3153910176 3184830864 3215751552 3247278528 3368195584 3383882793 3416736024 3438294912 3450233436 3497741568 3566324736 3653188344 3737967616 3789220032 3996650496 4205213568 4246441152 4287668736 4329704704 4496231808 4511843724 4539884544 4555648032 4584393216 4600311248 4663655424 4777246296 4823627328 4870917792 4887830701 5052293376 5125104036 5175350154 5349487104 5606951424 5661921536 5683830048 5936772096 5994975744 6015791632 6074197376 6307820352 6369661728 6431503104 6494557056 6736391168 6767765586 6833472048 6876589824 6900466872 6995483136 7306376688 7578440064 7763025231 8410427136 8492882304 8575337472 8659409408 8992463616 9023687448 9111296064 9168786432 9200622496 9554492592 9647254656 9741835584 9775661402 10104586752 10151648379 10250208072 10350700308 10698974208 11213902848 11323843072 11367660096 11989951488 12031583264 12148394752 12615640704 12739323456 12863006208 12989114112 13535531172 13666944096 13753179648 13800933744 13990966272 14612753376 14663492103 15156880128 15526050462 16820854272 16985764608 17318818816 17984927232 18047374896 18222592128 18401244992 19108985184 19294509312 19483671168 19551322804 20209173504 20303296758 20500416144 20701400616 22647686144 22735320192 24063166528 24296789504 25231281408 25478646912 25726012416 25978228224 27071062344 27333888192 27506359296 27601867488 29225506752 29326984206 30313760256 31052100924 33641708544 33971529216 35969854464 36094749792 36445184256 36802489984 38217970368 38589018624 38967342336 39102645608 40606593516 41000832288 41402801232 43990476309 45470640384 48126333056 48593579008 50462562816 50957293824 51956456448 54142124688 54667776384 55203734976 58451013504 58653968412 60627520512 62104201848 67943058432 72189499584 72890368512 73604979968 76435940736 77178037248 77934684672 78205291216 81213187032 82001664576 82805602464 87980952618 90941280768 96252666112 100925125632 101914587648 108284249376 109335552768 110407469952 116902027008 117307936824 124208403696 131971428927 144378999168 145780737024 147209959936 152871881472 155869369344 156410582432 162426374064 164003329152 165611204928 175961905236 181882561536 192505332224 203829175296 216568498752 218671105536 220814939904 233804054016 234615873648 248416807392 263942857854 288757998336 294419919872 305743762944 312821164864 324852748128 328006658304 331222409856 351923810472 385010664448 433136997504 437342211072 441629879808 467608108032 469231747296 496833614784 527885715708 577515996672 611487525888 625642329728 649705496256 656013316608 662444819712 703847620944 866273995008 883259759616 938463494592 993667229568 1055771431416 1155031993344 1251284659456 1299410992512 1312026633216 1324889639424 1407695241888 1732547990016 1876926989184 1987334459136 2111542862832 2502569318912 2598821985024 2649779278848 2815390483776 3465095980032 3753853978368 3974668918272 4223085725664 5005138637824 5197643970048 5630780967552 7507707956736 7949337836544 8446171451328 10395287940096 11261561935104 15015415913472 16892342902656 22523123870208 33784685805312 45046247740416 67569371610624 135138743221248
- Sum of all divisors σ(n): 463001765990400
- Sum of proper divisors (its aliquot sum) s(n): 327863022769152
- 135138743221248 is an abundant number, because the sum of its proper divisors (327863022769152) is greater than itself. Its abundance is 192724279547904
Bases of 135138743221248
- Binary: 111101011101000011100001100100011111100000000002
- Hexadecimal: 0x7AE870C8FC00
- Base-36: 1BWHVQJ9C0
Squares and roots of 135138743221248
- 135138743221248 squared (1351387432212482) is 18262479919418402271478677504
- 135138743221248 cubed (1351387432212483) is 2467968584413481331247455894953051912404992
-
The
square root of 135138743221248 is 11624919.0629977293 -
The
cube root of 135138743221248 is 51316.8462774997
Scales and comparisons
How big is 135138743221248?- 135,138,743,221,248 seconds is equal to 4,296,994 years, 1 week, 1 day, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 135,138,743,221,248 would take you about ten million, seven hundred forty-two thousand, four hundred eighty-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 135138743221248 cubic inches would be around 4276.4 feet tall.
Recreational maths with 135138743221248
- 135138743221248 backwards is 842122347831531
- 135138743221248 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135138743221248's digits is 54
- 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 135138743221248 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
APA style:
Numbermatics. (2024). Number 135138743221248 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/135138743221248/
Chicago style:
Numbermatics. 2024. "Number 135138743221248 - Facts about the integer". https://numbermatics.com/n/135138743221248/
The information we have on file for 135138743221248 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 135138743221248, math, Factors of 135138743221248, curriculum, school, college, exams, university, Prime factorization of 135138743221248, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, one hundred thirty-eight billion, seven hundred forty-three million, two hundred twenty-one thousand, two hundred forty-eight.