138327191620992
138,327,191,620,992 is an even composite number composed of five prime numbers multiplied together.
What does the number 138327191620992 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
138327191620992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 138327191620992:
27 × 36 × 114 × 19 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 19 × 73 × 73)See below for interesting mathematical facts about the number 138327191620992 from the Numbermatics database.
Names of 138327191620992
- Cardinal: 138327191620992 can be written as One hundred thirty-eight trillion, three hundred twenty-seven billion, one hundred ninety-one million, six hundred twenty thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38327191620992 × 1014
Factors of 138327191620992
Divisors of 138327191620992
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 73 76 81 88 96 99 108 114 121 128 132 144 146 152 162 171 176 192 198 209 216 219 228 242 243 264 288 292 297 304 324 342 352 363 384 396 418 432 438 456 484 486 513 528 576 584 594 608 627 648 657 684 704 726 729 792 803 836 864 876 891 912 968 972 1026 1056 1089 1152 1168 1188 1216 1254 1296 1314 1331 1368 1387 1408 1452 1458 1539 1584 1606 1672 1728 1752 1782 1824 1881 1936 1944 1971 2052 2112 2178 2299 2336 2376 2409 2432 2508 2592 2628 2662 2673 2736 2774 2904 2916 3078 3168 3212 3267 3344 3456 3504 3564 3648 3762 3872 3888 3942 3993 4104 4161 4224 4356 4598 4617 4672 4752 4818 5016 5184 5256 5324 5329 5346 5472 5548 5643 5808 5832 5913 6156 6336 6424 6534 6688 6897 7008 7128 7227 7296 7524 7744 7776 7884 7986 8019 8208 8322 8712 8833 9196 9234 9344 9504 9636 9801 10032 10368 10512 10648 10658 10692 10944 11096 11286 11616 11664 11826 11979 12312 12483 12672 12848 13068 13376 13794 13851 14016 14256 14454 14641 15048 15257 15488 15552 15768 15972 15987 16038 16416 16644 16929 17424 17666 17739 18392 18468 19008 19272 19602 20064 20691 21024 21296 21316 21384 21681 21888 22192 22572 23232 23328 23652 23958 24624 24966 25289 25696 26136 26499 26752 27588 27702 28032 28512 28908 29282 29403 30096 30514 31104 31536 31944 31974 32076 32832 33288 33858 34848 35332 35478 35937 36784 36936 37449 38016 38544 39204 40128 41382 42048 42592 42632 42768 43362 43923 44384 45144 45771 46464 46656 47304 47916 47961 49248 49932 50578 50787 51392 52272 52998 53217 55176 55404 57024 57816 58564 58619 58806 60192 61028 62073 63072 63888 63948 64152 65043 65664 66576 67716 69696 70664 70956 71874 73568 73872 74898 75867 77088 78408 79497 80256 82764 84096 85184 85264 85536 86724 87846 88209 88768 90288 91542 93312 94608 95832 95922 97163 98496 99864 101156 101251 101574 102784 104544 105996 106434 107811 110352 110808 112347 114048 115632 117128 117238 117612 120384 122056 124146 126144 127776 127896 128304 130086 131769 133152 135432 137313 139392 141328 141912 143748 143883 147136 147744 149796 151734 152361 154176 156816 158994 165528 167827 170368 170528 171072 173448 175692 175857 176418 177536 180576 183084 186219 189216 191664 191844 194326 195129 196992 199728 202312 202502 203148 209088 211992 212868 215622 220704 221616 224694 227601 231264 234256 234476 235224 238491 240768 244112 248292 252288 255552 255792 256608 260172 263538 266304 270864 274626 278179 282656 283824 287496 287766 291489 294272 295488 299592 303468 303753 304722 308352 313632 317988 323433 331056 335654 337041 341056 342144 346896 351384 351714 352836 361152 366168 372438 378432 383328 383688 388652 390258 395307 399456 404624 405004 406296 411939 418176 423984 425736 431244 431649 441408 443232 449388 455202 462528 468512 468952 470448 476982 488224 496584 503481 511104 511584 513216 520344 527076 527571 532608 541728 549252 556358 558657 565312 567648 574992 575532 582978 585387 590976 599184 606936 607506 609444 627264 635976 644809 646866 662112 671308 674082 682112 682803 693792 702768 703428 705672 715473 722304 732336 744876 756864 766656 767376 777304 780516 790614 798912 809248 810008 812592 823878 834537 847968 851472 862488 863298 874467 882816 886464 898776 910404 911259 925056 937024 937904 940896 953964 970299 976448 993168 1006962 1011123 1023168 1026432 1040688 1054152 1055142 1068793 1083456 1098504 1112716 1113761 1117314 1130624 1135296 1149984 1151064 1165956 1170774 1185921 1198368 1213872 1215012 1218888 1235817 1254528 1271952 1289618 1293732 1294947 1324224 1342616 1348164 1365606 1387584 1405536 1406856 1411344 1430946 1464672 1489752 1510443 1533312 1534752 1554608 1561032 1581228 1582713 1597824 1618496 1620016 1625184 1647756 1669074 1675971 1695936 1702944 1724976 1726596 1748934 1772928 1797552 1820808 1822518 1846097 1874048 1875808 1881792 1907928 1934427 1940598 1952896 1986336 2013924 2022246 2046336 2048409 2081376 2108304 2110284 2137586 2146419 2166912 2197008 2225432 2227522 2234628 2270592 2299968 2302128 2331912 2341548 2371842 2396736 2427744 2430024 2437776 2471634 2503611 2543904 2579236 2587464 2589894 2623401 2648448 2685232 2696328 2731212 2733777 2775168 2811072 2813712 2822688 2861892 2929344 2979504 3020886 3069504 3109216 3122064 3162456 3165426 3206379 3236992 3240032 3250368 3295512 3338148 3341283 3351942 3391872 3405888 3449952 3453192 3497868 3557763 3595104 3641616 3645036 3692194 3707451 3751616 3763584 3815856 3868854 3881196 3884841 3972672 4027848 4044492 4096818 4162752 4216608 4220568 4275172 4292838 4394016 4450864 4455044 4469256 4531329 4599936 4604256 4663824 4683096 4743684 4748139 4793472 4855488 4860048 4875552 4943268 5007222 5087808 5158472 5174928 5179788 5246802 5370464 5392656 5462424 5467554 5538291 5622144 5627424 5645376 5723784 5803281 5858688 5959008 6041772 6139008 6145227 6218432 6244128 6324912 6330852 6412758 6439257 6480064 6500736 6591024 6676296 6682566 6703884 6811776 6899904 6906384 6995736 7092899 7115526 7190208 7283232 7290072 7384388 7414902 7503232 7510833 7631712 7737708 7762392 7769682 7870203 7945344 8055696 8088984 8193636 8201331 8325504 8433216 8441136 8550344 8585676 8788032 8901728 8910088 8938512 9062658 9208512 9327648 9366192 9487368 9496278 9619137 9710976 9720096 9751104 9886536 10014444 10023849 10175616 10316944 10349856 10359576 10493604 10673289 10740928 10785312 10924848 10935108 11076582 11122353 11254848 11290752 11447568 11606562 11918016 12083544 12251371 12290454 12436864 12488256 12649824 12661704 12825516 12878514 12960128 13182048 13352592 13365132 13407768 13593987 13799808 13812768 13991472 14185798 14231052 14244417 14380416 14566464 14580144 14768776 14829804 15021666 15263424 15475416 15524784 15539364 15740406 16111392 16177968 16387272 16402662 16614873 16866432 16882272 17100688 17171352 17409843 17576064 17803456 17820176 17877024 18125316 18417024 18435681 18655296 18732384 18974736 18992556 19238274 19440192 19502208 19773072 20028888 20047698 20307067 20633888 20699712 20719152 20987208 21278697 21346578 21481856 21570624 21849696 21870216 22153164 22244706 22509696 22532499 22895136 23213124 23610609 23836032 24167088 24502742 24580908 24603993 24976512 25299648 25323408 25651032 25757028 26364096 26705184 26730264 26815536 27187974 27625536 27982944 28371596 28462104 28488834 28857411 29132928 29160288 29537552 29659608 30043332 30071547 30526848 30950832 31049568 31078728 31480812 32222784 32355936 32774544 32805324 33229746 33764544 34201376 34342704 34819686 35606912 35640352 35754048 36250632 36754113 36871362 37310592 37464768 37949472 37985112 38476548 38880384 39546144 40057776 40095396 40614134 40781961 41267776 41399424 41438304 41974416 42557394 42693156 42733251 43141248 43699392 43740432 44306328 44489412 45064998 45790272 46426248 47221218 48334176 49005484 49161816 49207986 49844619 50599296 50646816 51302064 51514056 52229529 52728192 53410368 53460528 53631072 54375948 55251072 55965888 56743192 56924208 56977668 57714822 58320576 59075104 59319216 60086664 60143094 60921201 61901664 62099136 62157456 62961624 63836091 64445568 64711872 65549088 65610648 66459492 67529088 67597497 68402752 68685408 69639372 70831827 71280704 71508096 72501264 73508226 73742724 73811979 74929536 75898944 75970224 76953096 78021889 79092288 80115552 80190792 81228268 81563922 82535552 82876608 83948832 85114788 85386312 85466502 86572233 87398784 87480864 88612656 88978824 90129996 90214641 91580544 92852496 94442436 96668352 98010968 98323632 98415972 99689238 101293632 102604128 103028112 104459058 106820736 106921056 107262144 108751896 110262339 111931776 113486384 113848416 113955336 115429644 116641152 118150208 118638432 120173328 120286188 121842402 122345883 123803328 124198272 124314912 125923248 127672182 129423744 131098176 131221296 132918984 134765081 135194994 136805504 137370816 139278744 141663654 142561408 145002528 147016452 147485448 147623958 149533857 151797888 151940448 153906192 156043778 156688587 158184576 160231104 160381584 162456536 163127844 165753216 167897664 170229576 170772624 170933004 173144466 174961728 177225312 177957648 180259992 180429282 182763603 185704992 188884872 191508273 193336704 196021936 196647264 196831944 199378476 202587264 202792491 205208256 206056224 208918116 213842112 214524288 217503792 220524678 226972768 227696832 227910672 230859288 234065667 236300416 237276864 240346656 240572376 243684804 244691766 247606656 248629824 251846496 255344364 259716699 262196352 262442592 265837968 269530162 270389988 270643923 274741632 278557488 283327308 290005056 294032904 294970896 295247916 299067714 303880896 307812384 312087556 313377174 320462208 320763168 324913072 326255688 330787017 335795328 340459152 341545248 341866008 346288932 349923456 354450624 355915296 360519984 360858564 365527206 371409984 377769744 383016546 392043872 393294528 393663888 398756952 404295243 405584982 410416512 412112448 417836232 427684224 435007584 441049356 448601571 453945536 455393664 455821344 461718576 468131334 470065761 474553728 480693312 481144752 487369608 489383532 497259648 503692992 510688728 519433398 524885184 531675936 539060324 540779976 541287846 548290809 557114976 566654616 574524819 580010112 588065808 589941792 590495832 598135428 607761792 615624768 624175112 626754348 641526336 649826144 652511376 661574034 680918304 683090496 683732016 692577864 702197001 708901248 711830592 721039968 721717128 731054412 742819968 755539488 766033092 779150097 784087744 786589056 787327776 797513904 808590486 811169964 811931769 824224896 835672464 870015168 882098712 897203142 907891072 911642688 923437152 936262668 940131522 961386624 962289504 974739216 978767064 992361051 1007385984 1021377456 1038866796 1049770368 1063351872 1078120648 1081559952 1082575692 1096581618 1114229952 1133309232 1149049638 1176131616 1179883584 1180991664 1196270856 1212885729 1231249536 1248350224 1253508696 1283052672 1299652288 1305022752 1323148068 1345804713 1361836608 1366180992 1367464032 1385155728 1404394002 1423661184 1442079936 1443434256 1462108824 1482415891 1511078976 1532066184 1558300194 1568175488 1574655552 1595027808 1617180972 1622339928 1623863538 1644872427 1671344928 1723574457 1740030336 1764197424 1794406284 1823285376 1846874304 1872525336 1880263044 1924579008 1949478432 1957534128 1984722102 2042754912 2077733592 2106591003 2126703744 2156241296 2163119904 2165151384 2193163236 2228459904 2266618464 2298099276 2352263232 2359767168 2361983328 2392541712 2425771458 2496700448 2507017392 2599304576 2610045504 2646296136 2691609426 2723673216 2734928064 2770311456 2808788004 2884159872 2886868512 2924217648 2964831782 2977083153 3022157952 3064132368 3116600388 3149311104 3190055616 3234361944 3244679856 3247727076 3289744854 3342689856 3447148914 3528394848 3588812568 3638657187 3693748608 3745050672 3760526088 3849158016 3898956864 3915068256 3969444204 4085509824 4155467184 4213182006 4312482592 4326239808 4330302768 4386326472 4447247673 4533236928 4596198552 4704526464 4723966656 4785083424 4851542916 4934617281 4993400896 5014034784 5170723371 5220091008 5292592272 5383218852 5469856128 5540622912 5617576008 5773737024 5848435296 5929663564 5954166306 6128264736 6233200776 6319773009 6380111232 6468723888 6489359712 6495454152 6579489708 6685379712 6894297828 7056789696 7177625136 7277314374 7490101344 7521052176 7797913728 7830136512 7938888408 8171019648 8310934368 8426364012 8624965184 8652479616 8660605536 8772652944 8894495346 8931249459 9066473856 9192397104 9447933312 9570166848 9703085832 9869234562 9986801792 10028069568 10341446742 10585184544 10766437704 10915971561 11081245824 11235152016 11547474048 11696870592 11859327128 11908332612 12256529472 12466401552 12639546018 12937447776 12978719424 12990908304 13158979416 13341743019 13788595656 14113579392 14355250272 14554628748 14803851843 14980202688 15042104352 15660273024 15877776816 16621868736 16852728024 17249930368 17321211072 17545305888 17788990692 17862498918 18384794208 18959319027 19140333696 19406171664 19738469124 20056139136 20682893484 21170369088 21532875408 21831943122 22470304032 23393741184 23718654256 23816665224 24513058944 24932803104 25279092036 25874895552 25957438848 25981816608 26317958832 26683486038 27577191312 28710500544 29109257496 29607703686 29960405376 30084208704 31755553632 32747914683 33243737472 33705456048 34642422144 35090611776 35577981384 35724997836 36769588416 37918638054 38812343328 39476938248 40025229057 41365786968 42340738176 43065750816 43663886244 44940608064 47437308512 47633330448 49865606208 50558184072 51749791104 51963633216 52635917664 53366972076 55154382624 56877957081 57421001088 58218514992 59215407372 60168417408 63511107264 65495829366 67410912096 70181223552 71155962768 71449995672 73539176832 75837276108 77624686656 78953876496 80050458114 82731573936 86131501632 87327772488 89881216128 94874617024 95266660896 98243744049 99731212416 101116368144 103927266432 105271835328 106733944152 110308765248 113755914162 116437029984 118430814744 120075687171 127022214528 130991658732 134821824192 142311925536 142899991344 151674552216 155249373312 157907752992 160100916228 165463147872 172263003264 174655544976 189749234048 190533321792 196487488098 202232736288 210543670656 213467888304 220617530496 227511828324 232874059968 236861629488 240151374342 261983317464 269643648384 284623851072 285799982688 303349104432 315815505984 320201832456 330926295744 349311089952 360227061513 381066643584 392974976196 404465472576 426935776608 455023656648 465748119936 473723258976 480302748684 523966634928 569247702144 571599965376 606698208864 631631011968 640403664912 661852591488 698622179904 720454123026 785949952392 808930945152 853871553216 910047313296 947446517952 960605497368 1047933269856 1080681184539 1143199930752 1213396417728 1280807329824 1397244359808 1440908246052 1571899904784 1707743106432 1820094626592 1894893035904 1921210994736 2095866539712 2161362369078 2426792835456 2561614659648 2881816492104 3143799809568 3640189253184 3842421989472 4191733079424 4322724738156 5123229319296 5763632984208 6287599619136 7280378506368 7684843978944 8645449476312 11527265968416 12575199238272 15369687957888 17290898952624 23054531936832 34581797905248 46109063873664 69163595810496 138327191620992
- Sum of all divisors σ(n): 485049470404500
- Sum of proper divisors (its aliquot sum) s(n): 346722278783508
- 138327191620992 is an abundant number, because the sum of its proper divisors (346722278783508) is greater than itself. Its abundance is 208395087162516
Bases of 138327191620992
- Binary: 111110111001110110011110001111010001101100000002
- Hexadecimal: 0x7DCECF1E8D80
- Base-36: 1D16MUE000
Squares and roots of 138327191620992
- 138327191620992 squared (1383271916209922) is 19134411941750639372575064064
- 138327191620992 cubed (1383271916209923) is 2646809467221538307393924093872298407231488
-
The
square root of 138327191620992 is 11761258.0798565933 -
The
cube root of 138327191620992 is 51717.3011471703
Scales and comparisons
How big is 138327191620992?- 138,327,191,620,992 seconds is equal to 4,398,376 years, 42 weeks, 4 days, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 138,327,191,620,992 would take you about ten million, nine hundred ninety-five thousand, nine hundred forty-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 138327191620992 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138327191620992
- 138327191620992 backwards is 299026191723831
- The number of decimal digits it has is: 15
- The sum of 138327191620992's digits is 63
- 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 138327191620992 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 138327191620992 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/138327191620992/
Chicago style:
Numbermatics. 2024. "Number 138327191620992 - Facts about the integer". https://numbermatics.com/n/138327191620992/
The information we have on file for 138327191620992 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 138327191620992, math, Factors of 138327191620992, curriculum, school, college, exams, university, Prime factorization of 138327191620992, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred twenty-seven billion, one hundred ninety-one million, six hundred twenty thousand, nine hundred ninety-two.