138901373278153024
138,901,373,278,153,024 is an even composite number composed of five prime numbers multiplied together.
What does the number 138901373278153024 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
138901373278153024 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138901373278153024:
26 × 73 × 112 × 433 × 8112
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 11 × 43 × 43 × 43 × 811 × 811)See below for interesting mathematical facts about the number 138901373278153024 from the Numbermatics database.
Names of 138901373278153024
- Cardinal: 138901373278153024 can be written as One hundred thirty-eight quadrillion, nine hundred one trillion, three hundred seventy-three billion, two hundred seventy-eight million, one hundred fifty-three thousand and twenty-four.
Scientific notation
- Scientific notation: 1.38901373278153024 × 1017
Factors of 138901373278153024
Divisors of 138901373278153024
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 43 44 49 56 64 77 86 88 98 112 121 154 172 176 196 224 242 301 308 343 344 352 392 448 473 484 539 602 616 686 688 704 784 811 847 946 968 1078 1204 1232 1372 1376 1568 1622 1694 1849 1892 1936 2107 2156 2408 2464 2744 2752 3136 3244 3311 3388 3698 3773 3784 3872 4214 4312 4816 4928 5203 5488 5677 5929 6488 6622 6776 7396 7546 7568 7744 8428 8624 8921 9632 10406 10976 11354 11858 12943 12976 13244 13552 14749 14792 15092 15136 16856 17248 17842 19264 20339 20812 21952 22708 23177 23716 25886 25952 26488 27104 29498 29584 30184 30272 33712 34496 34873 35684 36421 39739 40678 41503 41624 45416 46354 47432 51772 51904 52976 54208 58996 59168 60368 62447 67424 69746 71368 72842 79478 79507 81356 83006 83248 90601 90832 92708 94864 98131 103544 105952 117992 118336 120736 124894 134848 139492 142373 142736 145684 158956 159014 162239 162712 166012 166496 181202 181664 185416 189728 196262 207088 211904 223729 235984 241472 244111 249788 254947 278173 278984 284746 285472 291368 317912 318028 324478 325424 332024 332992 362404 363328 370832 379456 383603 392524 414176 437129 447458 471968 488222 499576 509894 556346 556549 557968 569492 570944 582736 634207 635824 636056 648956 650848 657721 664048 686917 724808 741664 767206 785048 828352 874258 874577 894916 943936 976444 996611 999152 1019788 1112692 1113098 1115936 1138984 1165472 1268414 1271648 1272112 1297912 1301696 1315442 1328096 1373834 1449616 1483328 1499539 1534412 1566103 1570096 1708777 1748516 1749154 1784629 1789832 1952888 1993222 1998304 2039576 2225384 2226196 2231872 2277968 2330944 2536828 2543296 2544224 2595824 2630884 2656192 2685221 2747668 2899232 2999078 3059903 3068824 3132206 3140192 3417554 3497032 3498308 3569258 3579664 3895843 3905776 3986444 3996608 4079152 4219633 4450768 4452392 4555936 4604047 4808419 5073656 5088448 5191648 5261768 5370442 5495336 5798464 5998156 6119806 6122039 6137648 6264412 6280384 6835108 6976277 6994064 6996616 7138516 7159328 7234931 7791686 7811552 7972888 8158304 8439266 8901536 8904784 9111872 9208094 9616838 9620347 10147312 10383296 10496773 10523536 10740884 10962721 10990672 11961439 11996312 12239612 12244078 12275296 12528824 13670216 13952554 13988128 13993232 14277032 14318656 14469862 15583372 15623104 15945776 16316608 16494929 16878532 17803072 17809568 18416188 18796547 19233676 19240694 20294624 20993546 21047072 21481768 21925442 21981344 23922878 23992624 24479224 24488156 24550592 25057648 27270901 27340432 27905108 27976256 27986464 28282003 28554064 28939724 29537431 31166744 31891552 32228329 32989858 33658933 33757064 35619136 36832376 37593094 38467352 38481388 40589248 41987092 42094144 42854273 42963536 43850884 43962688 47845756 47985248 48958448 48976312 50115296 50644517 54541802 54680864 55810216 55972928 56564006 57108128 57879448 59074862 62333488 63783104 64456658 64480177 65979716 67317866 67342429 67514128 73477411 73664752 75186188 76739047 76934704 76962776 79584241 83974184 85708546 85927072 87701768 95691512 95970496 97916896 97952624 100230592 101289034 109083604 109361728 111620432 113128012 114216256 115464503 115758896 118149724 124666976 128913316 128960354 131575829 131959432 134635732 134684858 135028256 146954822 147329504 150372376 153478094 153869408 153925552 159168482 167948368 171417092 171854144 175403536 181444219 191383024 195833792 195905248 197974021 202578068 206762017 218167208 223240864 225598303 226256024 230929006 231517792 236299448 249333952 257826632 257920708 263151658 263918864 269271464 269369716 270056512 293909644 294659008 299979911 300744752 306956188 307738816 307851104 311102033 318336964 335896736 342834184 350807072 354511619 362888438 382766048 391810496 395948042 405156136 413524034 436334416 446481728 451196606 451361239 452512048 461858012 463035584 471397003 472598896 514341877 515653264 515841416 526303316 527837728 538542928 538739432 557089687 587819288 599959822 601489504 613912376 615702208 622204066 636673928 671793472 685668368 701614144 709023238 709281947 725776876 765532096 791896084 808251521 810312272 827048068 872668832 902393212 902722478 905024096 923716024 942794006 945197792 1028683754 1031306528 1031682832 1052606632 1055675456 1077085856 1077478864 1114179374 1175638576 1199919644 1202979008 1216126129 1227824752 1244408132 1270109533 1273347856 1371336736 1385818147 1418046476 1418563894 1447334119 1451553752 1583792168 1616503042 1620624544 1654096136 1745337664 1804786424 1805444956 1810048192 1847432048 1885588012 1890395584 2057367508 2062613056 2063365664 2105213264 2154171712 2154957728 2177714231 2228358748 2351277152 2399839288 2432252258 2455649504 2481581333 2488816264 2540219066 2546695712 2742673472 2771636294 2836092952 2837127788 2894668238 2903107504 3159528673 3167584336 3233006084 3241249088 3299779021 3308192272 3422122363 3609572848 3610889912 3694864096 3771176024 3899627809 4114735016 4126731328 4210426528 4309915456 4355428462 4456717496 4702554304 4799678576 4864504516 4911299008 4963162666 4964973629 4977632528 5080438132 5093391424 5543272588 5657760647 5672185904 5674255576 5789336476 5806215008 6319057346 6335168672 6466012168 6599558042 6616384544 6844244726 7219145696 7221779824 7389728192 7542352048 7799255618 7802101417 8229470032 8420853056 8512882903 8710856924 8890766731 8913434992 9599357152 9700727029 9729009032 9926325332 9929947258 9955265056 10160876264 11086545176 11315521294 11344371808 11348511152 11578672952 11612430016 12638114692 12670337344 12932024336 13199116084 13232769088 13377387419 13688489452 14438291392 14443559648 15084704096 15243999617 15598511236 15604202834 16458940064 17025765806 17421713848 17781533462 17826869984 19198714304 19401454058 19458018064 19852650664 19859894516 19910530112 20321752528 22116700711 22173090352 22631042588 22688743616 22697022304 23157345904 23954856541 25276229384 25864048672 26398232168 26754774838 27297394663 27376978904 28887119296 30169408192 30487999234 31197022472 31208405668 32917880128 34051531612 34754815403 34843427696 35563066924 35653739968 38802908116 38916036128 39705301328 39719789032 40643505056 44233401422 44346180704 45262085176 45394044608 46314691808 47909713082 50552458768 51728097344 52293423547 52796464336 53509549676 54594789326 54614709919 54753957808 59590180321 60975998468 62235367117 62394044944 62416811336 68103063224 69509630806 69686855392 71126133848 77605816232 77832072256 79410602656 79439578064 81287010112 88466802844 88692361408 90524170352 92629383616 93641711933 95819426164 101104917536 104586847094 105592928672 106707997319 107019099352 109189578652 109229419838 109507915616 119180360642 121951996936 124470734234 124788089888 124833622672 136206126448 139019261612 139373710784 142252267696 147151261609 155211632464 158821205312 158879156128 167683995787 176933605688 181048340704 187283423866 191638852328 202209835072 209173694188 211185857344 213415994638 214038198704 218379157304 218458839676 219015831232 238360721284 243283707821 243903993872 248941468468 249576179776 249667245344 272412252896 278038523224 284504535392 294302523218 310423264928 317758312256 335367991574 353867211376 362096681408 366053964829 374566847732 382302969433 383277704656 417131262247 418347388376 426831989276 428076397408 436758314608 436917679352 476721442568 486567415642 487807987744 497882936936 499334490688 544824505792 556077046448 569009070784 575227659017 588605046436 620846529856 655491983531 670735983148 707734422752 732107929658 749133695464 764605938866 766555409312 834262524494 836694776752 853663978552 856152794816 873516629216 873835358704 953442885136 973134831284 975615975488 995765873872 1030058831263 1112154092896 1150455318034 1173787970509 1177210092872 1310983967062 1341471966296 1415468845504 1464215859316 1498267390928 1529211877732 1533110818624 1668525048988 1673389553504 1707327957104 1747033258432 1747670717408 1906885770272 1946269662568 1991531747744 2060117662526 2224308185792 2300910636068 2347575941018 2354420185744 2562377753803 2621967934124 2676120786031 2682943932592 2928431718632 2996534781856 3058423755464 3337050097976 3346779107008 3414655914208 3495341434816 3813771540544 3892539325136 3983063495488 4026593613119 4120235325052 4588443884717 4601821272136 4695151882036 4708840371488 5124755507606 5243935868248 5352241572062 5365887865184 5856863437264 5993069563712 6116847510928 6327504249187 6674100195952 6829311828416 7210411818841 7785078650272 8053187226238 8240470650104 9176887769434 9203642544272 9390303764072 9417680742976 10249511015212 10487871736496 10704483144124 10731775730368 11713726874528 12233695021856 12655008498374 13348200391904 14420823637682 15570157300544 16106374452476 16480941300208 17936644276621 18353775538868 18407285088544 18780607528144 20499022030424 20975743472992 21408966288248 23427453749056 24467390043712 25310016996748 26696400783808 28186155291833 28841647275364 32212748904952 32961882600416 35873288553242 36707551077736 36814570177088 37561215056288 40998044060848 41951486945984 42817932576496 44292529744309 50472882731887 50620033993496 56372310583666 57683294550728 64425497809904 65923765200832 71746577106484 73415102155472 75122430112576 81996088121696 85635865152992 88585059488618 100945765463774 101240067986992 112744621167332 115366589101456 128850995619808 143493154212968 146830204310944 163992176243392 171271730305984 177170118977236 197303087042831 201891530927548 202480135973984 225489242334664 230733178202912 257701991239616 286986308425936 293660408621888 310047708210163 354340237954472 394606174085662 403783061855096 404960271947968 450978484669328 461466356405824 573972616851872 620095416420326 708680475908944 789212348171324 807566123710192 901956969338656 1147945233703744 1240190832840652 1417360951817888 1578424696342648 1615132247420384 1803913938677312 2170333957471141 2480381665681304 2834721903635776 3156849392685296 3230264494840768 4340667914942282 4960763331362608 6313698785370592 8681335829884564 9921526662725216 12627397570741184 17362671659769128 19843053325450432 34725343319538256 69450686639076512 138901373278153024
- Sum of all divisors σ(n): 362174026201680000
- Sum of proper divisors (its aliquot sum) s(n): 223272652923526976
- 138901373278153024 is an abundant number, because the sum of its proper divisors (223272652923526976) is greater than itself. Its abundance is 84371279645373952
Bases of 138901373278153024
- Binary: 1111011010111101000010000001001010000111011101001010000002
- Hexadecimal: 0x1ED7A10250EE940
- Base-36: 11ZOFDYYMQF4
Squares and roots of 138901373278153024
- 138901373278153024 squared (1389013732781530242) is 19293591498556802952773008760344576
- 138901373278153024 cubed (1389013732781530243) is 2679906354617238267774891451238831131771183096397824
-
The
square root of 138901373278153024 is 372694745.4394185901 -
The
cube root of 138901373278153024 is 517887.6006208003
Scales and comparisons
How big is 138901373278153024?- 138,901,373,278,153,024 seconds is equal to 4,416,634,020 years, 4 weeks, 3 days, 22 hours, 57 minutes, 4 seconds.
-
To count from 1 to 138,901,373,278,153,024 would take you about thirteen billion, two hundred forty-nine million, nine hundred two thousand and sixty 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 138901373278153024 cubic inches would be around 43157.3 feet tall.
Recreational maths with 138901373278153024
- 138901373278153024 backwards is 420351872373109831
- The number of decimal digits it has is: 18
- The sum of 138901373278153024's digits is 67
- 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 138901373278153024 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 138901373278153024 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/138901373278153024/
Chicago style:
Numbermatics. 2024. "Number 138901373278153024 - Facts about the integer". https://numbermatics.com/n/138901373278153024/
The information we have on file for 138901373278153024 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 138901373278153024, math, Factors of 138901373278153024, curriculum, school, college, exams, university, Prime factorization of 138901373278153024, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred one trillion, three hundred seventy-three billion, two hundred seventy-eight million, one hundred fifty-three thousand and twenty-four.