138080188843344
138,080,188,843,344 is an even composite number composed of six prime numbers multiplied together.
What does the number 138080188843344 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
138080188843344 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138080188843344:
24 × 39 × 11 × 192 × 41 × 2693
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 19 × 19 × 41 × 2693)See below for interesting mathematical facts about the number 138080188843344 from the Numbermatics database.
Names of 138080188843344
- Cardinal: 138080188843344 can be written as One hundred thirty-eight trillion, eighty billion, one hundred eighty-eight million, eight hundred forty-three thousand, three hundred forty-four.
Scientific notation
- Scientific notation: 1.38080188843344 × 1014
Factors of 138080188843344
Divisors of 138080188843344
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 41 44 48 54 57 66 72 76 81 82 88 99 108 114 123 132 144 152 162 164 171 176 198 209 216 228 243 246 264 297 304 324 328 342 361 369 396 418 432 451 456 486 492 513 528 594 627 648 656 684 722 729 738 779 792 836 891 902 912 972 984 1026 1083 1107 1188 1254 1296 1353 1368 1444 1458 1476 1539 1558 1584 1672 1782 1804 1881 1944 1968 2052 2166 2187 2214 2337 2376 2508 2673 2693 2706 2736 2888 2916 2952 3078 3116 3249 3321 3344 3564 3608 3762 3888 3971 4059 4104 4332 4374 4428 4617 4674 4752 5016 5346 5386 5412 5643 5776 5832 5904 6156 6232 6498 6561 6642 7011 7128 7216 7524 7942 8019 8079 8118 8208 8569 8664 8748 8856 9234 9348 9747 9963 10032 10692 10772 10824 11286 11664 11913 12177 12312 12464 12996 13122 13284 13851 14022 14256 14801 15048 15884 16038 16158 16236 16929 17138 17328 17496 17712 18468 18696 19494 19683 19926 21033 21384 21544 21648 22572 23826 24057 24237 24354 24624 25707 25992 26244 26568 27702 28044 29241 29602 29623 29889 30096 31768 32076 32316 32472 33858 34276 34992 35739 36531 36936 37392 38988 39366 39852 41553 42066 42768 43088 44403 45144 47652 48114 48474 48708 50787 51167 51414 51984 52488 53136 55404 56088 58482 59204 59246 59778 63099 63536 64152 64632 64944 67716 68552 71478 72171 72711 73062 73872 77121 77976 78732 79704 83106 84132 87723 88806 88869 89667 90288 95304 96228 96948 97416 101574 102334 102828 104976 107217 109593 110413 110808 112176 116964 118408 118492 119556 124659 126198 128304 129264 133209 135432 137104 142956 144342 145422 146124 152361 153501 154242 155952 157464 159408 162811 166212 168264 175446 177612 177738 179334 189297 190608 192456 193896 194832 203148 204668 205656 214434 216513 218133 219186 220826 221616 231363 233928 236816 236984 239112 249318 252396 263169 266418 266607 269001 270864 285912 288684 290844 292248 304722 307002 308484 314928 321651 325622 328779 331239 332424 336528 350892 355224 355476 358668 373977 378594 384912 387792 399627 406296 409336 411312 428868 433026 436266 438372 441652 457083 460503 462726 467856 473968 478224 488433 498636 504792 526338 532836 533214 538002 562837 567891 571824 577368 581688 584496 609444 614004 616968 643302 651244 654399 657558 662478 664848 694089 701784 710448 710952 717336 747954 757188 789507 799254 799821 807003 812592 818672 857736 866052 872532 876744 883304 914166 921006 925452 964953 972173 976866 986337 993717 997272 1009584 1052676 1065672 1066428 1076004 1125674 1135782 1154736 1163376 1198881 1214543 1218888 1228008 1233936 1286604 1302488 1308798 1315116 1324956 1371249 1381509 1388178 1403568 1421904 1434672 1465299 1495908 1514376 1579014 1598508 1599642 1614006 1688511 1703673 1715472 1732104 1745064 1753488 1766608 1828332 1842012 1850904 1929906 1944346 1953732 1963197 1972674 1987434 1994544 2082267 2097847 2105352 2131344 2132856 2152008 2251348 2271564 2368521 2397762 2399463 2429086 2437776 2456016 2573208 2604976 2617596 2630232 2649912 2742498 2763018 2776356 2894859 2916519 2930598 2959011 2981151 2991816 3028752 3158028 3197016 3199284 3228012 3377022 3407346 3464208 3490128 3596643 3643629 3656664 3684024 3701808 3859812 3888692 3907464 3926394 3945348 3974868 4113747 4144527 4164534 4195694 4210704 4265712 4304016 4395897 4502696 4543128 4737042 4795524 4798926 4858172 5065533 5111019 5146416 5235192 5260464 5299824 5484996 5526036 5552712 5789718 5833038 5861196 5889591 5918022 5962302 5983632 6246801 6293541 6316056 6394032 6398568 6456024 6754044 6814692 7105563 7193286 7198389 7287258 7313328 7368048 7719624 7777384 7814928 7852788 7890696 7949736 8227494 8289054 8329068 8391388 8684577 8749557 8791794 8877033 8943453 9005392 9086256 9474084 9591048 9597852 9716344 10131066 10222038 10470384 10693903 10789929 10930887 10969992 11052072 11105424 11579436 11666076 11722392 11779182 11836044 11924604 12433581 12493602 12587082 12632112 12797136 12912048 13187691 13508088 13629384 14211126 14386572 14396778 14574516 15196599 15333057 15439248 15554768 15705576 15781392 15899472 16454988 16578108 16658136 16782776 17369154 17499114 17583588 17668773 17754066 17886906 18740403 18880623 18948168 19182096 19195704 19432688 20262132 20444076 21387806 21579858 21595167 21861774 21939984 22104144 23076317 23158872 23332152 23444784 23558364 23672088 23849208 24867162 24987204 25174164 26053731 26248671 26375382 26830359 27016176 27258768 28422252 28773144 28793556 29149032 30393198 30666114 31411152 32081709 32369787 32792661 32909976 33156216 33316272 33565552 34738308 34998228 35167176 35337546 35508132 35773812 37300743 37480806 37761246 37896336 38391408 39563073 39859093 40524264 40888152 42775612 43159716 43190334 43723548 45589797 46152634 46317744 46664304 47116728 47344176 47698416 49734324 49974408 50348328 52107462 52497342 52750764 53006319 53660718 56221209 56641869 56844504 57546288 57587112 58298064 60786396 61332228 64163418 64739574 64785501 65585322 65819952 66312432 69228951 69476616 69996456 70334352 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316504584 318872744 321964308 335706687 337327254 339851214 345522672 356067657 358731837 364718376 369221072 384980508 388437444 388713006 393511932 410308173 415373706 416859696 419978736 424050552 429285744 438450023 447608916 449769672 453134952 472476078 474756876 478309116 482946462 509776821 513307344 517916592 518284008 524682576 547077564 553831608 577470762 582656166 583069509 590267898 596811888 623060559 625289544 629968104 633009168 637745488 643928616 671413374 674654508 679702428 708714117 712135314 717463674 724419693 729436752 769961016 776874888 777426012 787023864 820616346 830747412 848101104 866206143 876900046 885401847 895217832 899539344 906269904 944952156 949513752 956618232 965892924 1007120061 1019553642 1036568016 1068202971 1076195511 1094155128 1107663216 1154941524 1165312332 1166139018 1180535796 1230924519 1246121118 1250579088 1259936208 1287857232 1315350069 1342826748 1349309016 1359404856 1417428234 1424270628 1434927348 1448839386 1529330463 1539922032 1553749776 1554852024 1574047728 1641232692 1661494824 1732412286 1753800092 1770803694 1790435664 1869181677 1889904312 1899027504 1913236464 1931785848 2014240122 2039107284 2126142351 2136405942 2152391022 2173259079 2188310256 2309883048 2330624664 2332278036 2361071592 2461849038 2492242236 2598618429 2630700138 2656205541 2685653496 2698618032 2718809712 2834856468 2848541256 2869854696 2897678772 3058660926 3109704048 3204608913 3228586533 3282465384 3322989648 3464824572 3507600184 3541607388 3692773557 3738363354 3779808624 3863571696 3946050207 4028480244 4078214568 4252284702 4272811884 4304782044 4346518158 4587991389 4619766096 4661249328 4664556072 4722143184 4923698076 4984484472 5197236858 5261400276 5312411082 5371306992 5607545031 5669712936 5697082512 5739709392 5795357544 6117321852 6378427053 6409217826 6457173066 6564930768 6929649144 7015200368 7083214776 7385547114 7476726708 7795855287 7892100414 7968616623 8056960488 8156429136 8504569404 8545623768 8609564088 8693036316 9175982778 9329112144 9685759599 9847396152 9968968944 10394473716 10522800552 10624822164 11078320671 11215090062 11339425872 11590715088 11838150621 12234643704 12756854106 12818435652 12914346132 13763974167 13859298288 14166429552 14771094228 14953453416 15591710574 15784200828 15937233246 16113920976 16822635093 17009138808 17091247536 17219128176 17386072632 18351965556 19135281159 19371519198 19694792304 20788947432 21045601104 21249644328 22156641342 22430180124 23387565861 23676301242 23905849869 24469287408 25513708212 25636871304 25828692264 27527948334 29057278797 29542188456 29906906832 31183421148 31568401656 31874466492 33645270186 34018277616 34772145264 35514451863 36703931112 38270562318 38743038396 41291922501 41577894864 42499288656 44313282684 44860360248 46775131722 47352602484 47811699738 50467905279 51027416424 51273742608 51657384528 55055896668 58114557594 59084376912 62366842296 63136803312 63748932984 67290540372 70162697583 71028903726 73407862224 76541124636 77486076792 82583845002 87171836391 88626565368 89720720496 93550263444 94705204968 95623399476 100935810558 102054832848 106543355589 110111793336 116229115188 124733684592 127497865968 134581080744 140325395166 142057807452 151403715837 153082249272 154972153584 165167690004 174343672782 177253130736 187100526888 189410409936 191246798952 201871621116 210488092749 213086711178 220223586672 232458230376 261515509173 269162161488 280650790332 284115614904 302807431674 306164498544 319630066767 330335380008 348687345564 374201053776 382493597904 403743242232 420976185498 426173422356 454211147511 464916460752 523031018346 561301580664 568231229808 605614863348 639260133534 660670760016 697374691128 784546527519 807486484464 841952370996 852346844712 908422295022 958890200301 1046062036692 1122603161328 1211229726696 1278520267068 1394749382256 1569093055038 1683904741992 1704693689424 1816844590044 1917780400602 2092124073384 2422459453392 2557040534136 2876670600903 3138186110076 3367809483984 3633689180088 3835560801204 4184248146768 5114081068272 5753341201806 6276372220152 7267378360176 7671121602408 8630011802709 11506682403612 12552744440304 15342243204816 17260023605418 23013364807224 34520047210836 46026729614448 69040094421672 138080188843344
- Sum of all divisors σ(n): 473467304528064
- Sum of proper divisors (its aliquot sum) s(n): 335387115684720
- 138080188843344 is an abundant number, because the sum of its proper divisors (335387115684720) is greater than itself. Its abundance is 197306926841376
Bases of 138080188843344
- Binary: 111110110010101010011001001101101000101010100002
- Hexadecimal: 0x7D954C9B4550
- Base-36: 1CY15VB900
Squares and roots of 138080188843344
- 138080188843344 squared (1380801888433442) is 19066138551013540848573102336
- 138080188843344 cubed (1380801888433443) is 2632656011637310861082617095697153584451584
-
The
square root of 138080188843344 is 11750752.6926296939 -
The
cube root of 138080188843344 is 51686.4999530637
Scales and comparisons
How big is 138080188843344?- 138,080,188,843,344 seconds is equal to 4,390,522 years, 46 weeks, 3 days, 20 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,080,188,843,344 would take you about ten million, nine hundred seventy-six thousand, three hundred seven 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 138080188843344 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138080188843344
- 138080188843344 backwards is 443348881080831
- The number of decimal digits it has is: 15
- The sum of 138080188843344's digits is 63
- More coming soon!
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The information we have on file for 138080188843344 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!
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