138400280880576
138,400,280,880,576 is an even composite number composed of nine prime numbers multiplied together.
138400280880576 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138400280880576:
26 × 3 × 11 × 13 × 19 × 31 × 61 × 307 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 13 × 19 × 31 × 61 × 307 × 457)See below for interesting mathematical facts about the number 138400280880576 from the Numbermatics database.
Names of 138400280880576
- Cardinal: 138400280880576 can be written as One hundred thirty-eight trillion, four hundred billion, two hundred eighty million, eight hundred eighty thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38400280880576 × 1014
Factors of 138400280880576
Divisors of 138400280880576
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 31 32 33 38 39 44 48 52 57 61 62 64 66 76 78 88 93 96 104 114 122 124 132 143 152 156 176 183 186 192 208 209 228 244 247 248 264 286 304 307 312 341 352 366 372 403 416 418 429 456 457 488 494 496 528 572 589 608 614 624 627 671 682 704 732 741 744 793 806 832 836 858 912 914 921 976 988 992 1023 1056 1144 1159 1178 1209 1216 1228 1248 1254 1342 1364 1371 1464 1482 1488 1586 1612 1672 1716 1767 1824 1828 1842 1891 1952 1976 1984 2013 2046 2112 2288 2318 2356 2379 2418 2456 2496 2508 2684 2717 2728 2742 2928 2964 2976 3172 3224 3344 3377 3432 3477 3534 3648 3656 3684 3782 3904 3952 3991 4026 4092 4433 4576 4636 4712 4758 4836 4912 5016 5027 5368 5434 5456 5484 5673 5833 5856 5928 5941 5952 6344 6448 6479 6688 6754 6864 6954 7068 7312 7368 7564 7657 7904 7982 8052 8151 8184 8683 8723 8866 9152 9272 9424 9516 9517 9672 9824 10032 10054 10131 10736 10868 10912 10968 11346 11666 11712 11856 11882 11973 12688 12749 12896 12958 13299 13376 13508 13728 13908 14136 14167 14624 14736 15067 15081 15128 15314 15808 15964 16104 16302 16368 17366 17446 17499 17732 17823 18544 18727 18848 19032 19034 19344 19437 19648 20064 20108 20262 20801 21472 21736 21824 21936 22692 22971 23332 23712 23764 23946 24583 25376 25498 25792 25916 26049 26169 26598 27016 27456 27816 27877 28272 28334 28551 29248 29472 30134 30162 30256 30628 31928 32208 32604 32736 34732 34892 34998 35464 35646 35929 37088 37454 37696 38064 38068 38247 38688 38874 40128 40216 40524 41602 42501 42944 43472 43872 43901 45201 45384 45942 46664 47424 47528 47892 49166 50752 50996 51832 52098 52338 53196 54032 55632 55754 56181 56544 56668 57102 58944 60268 60324 60512 61256 62403 63856 64163 64416 65208 65351 65472 69464 69784 69996 70928 71292 71858 73749 74176 74908 75829 76128 76136 76494 77376 77748 80432 81048 83204 83631 84227 85002 86944 87744 87802 90402 90768 91884 93328 95056 95513 95784 98332 101992 103664 104196 104676 104687 106392 107787 108064 111264 111508 112362 112879 113088 113336 114204 120536 120648 121024 122512 123721 124806 127712 128326 128832 130416 130702 131703 138928 139568 139992 140299 141856 142584 143716 147498 149816 151658 152256 152272 152988 155496 155837 160864 162096 165737 166408 167262 168454 170004 173888 175604 180804 180823 181536 183768 184171 186656 190112 191026 191568 192489 196053 196664 203984 205997 207328 208392 209352 209374 212784 215574 216128 222528 223016 224724 225758 226672 227487 228408 241072 241296 243451 245024 247442 249612 252681 255424 256652 260832 261404 263406 269173 270413 277856 279136 279984 280598 283712 285168 286539 287432 294996 299632 303316 304544 305976 306647 310992 311674 314061 321728 324192 331474 332816 334524 336908 338637 340008 351208 355813 361608 361646 362401 363072 367536 368342 371163 373312 380224 382052 383136 384978 392106 393328 395219 407968 411994 414656 416784 418704 418748 420897 425568 431148 446032 449448 451516 453344 454974 456816 467077 467511 482144 482592 486902 490048 494884 497211 499224 505362 513304 521664 522808 526812 529663 538346 540826 542469 552513 555712 558272 559968 561196 570336 573078 574864 580537 589992 599264 606632 609088 611952 613294 617991 621984 623348 628122 648384 662948 665632 669048 673816 677274 680016 702416 711626 723216 723292 724802 730353 735072 736684 742326 764104 766272 769956 784212 786656 790438 807519 811239 815936 823988 833568 834119 837408 837496 841794 851136 862296 864187 892064 898896 903032 906688 909948 913632 919941 934154 935022 964288 965184 973804 989768 994422 998448 1010724 1026608 1045616 1053624 1059326 1067439 1076692 1081652 1084938 1087203 1105026 1119936 1122392 1140672 1146156 1149728 1161074 1179984 1185657 1198528 1213264 1223904 1226588 1235982 1241669 1243968 1246696 1256244 1325896 1331264 1338096 1347632 1354548 1360032 1360931 1401231 1404832 1423252 1446432 1446584 1449604 1460706 1470144 1473368 1484652 1528208 1539912 1543289 1568424 1573312 1580876 1588989 1615038 1622478 1647976 1667136 1668238 1674816 1674992 1683588 1724592 1728374 1741611 1784128 1797792 1806064 1819896 1823887 1827264 1839882 1868308 1870044 1947608 1979536 1988844 1989053 1996896 2021448 2025881 2053216 2091232 2107248 2118652 2134878 2153384 2163304 2169876 2174406 2210052 2244784 2292312 2299456 2322148 2350699 2359968 2371314 2426528 2447808 2453176 2471964 2483338 2493392 2502357 2512488 2592561 2651792 2665681 2676192 2677961 2695264 2709096 2720064 2721862 2802462 2809664 2846504 2892864 2893168 2899208 2921412 2946736 2960903 2969304 3056416 3079824 3086578 3136848 3161752 3177978 3230076 3244956 3295952 3336476 3349984 3367176 3449184 3456748 3483222 3499249 3595584 3612128 3639792 3647774 3679764 3725007 3736616 3740088 3895216 3913943 3959072 3977688 3978106 3986411 3993792 4042896 4051762 4082793 4106432 4182464 4214496 4237304 4269756 4306768 4326608 4339752 4348812 4349269 4420104 4489568 4584624 4625569 4629867 4644296 4701398 4719936 4742628 4853056 4906352 4943928 4966676 4986784 5004714 5024976 5137847 5185122 5303584 5331362 5352384 5355922 5390528 5418192 5443724 5471661 5604924 5693008 5786336 5798416 5826293 5842824 5893472 5921806 5938608 5967159 6077643 6112832 6159648 6173156 6273696 6323504 6355956 6385907 6460152 6489912 6591904 6672952 6699968 6734352 6885619 6898368 6913496 6966444 6998498 7052097 7224256 7279584 7295548 7359528 7450014 7473232 7480176 7546981 7790432 7827886 7918144 7955376 7956212 7972822 7997043 8033883 8085792 8103524 8165586 8428992 8474608 8539512 8558239 8613536 8653216 8679504 8697624 8698538 8840208 8882709 8979136 9169248 9251138 9259734 9288592 9402796 9485256 9506057 9812704 9887856 9933352 9973568 10009428 10049952 10275694 10370244 10497747 10607168 10662724 10711844 10836384 10887448 10943322 11030203 11209848 11234431 11386016 11572672 11596832 11652586 11685648 11741829 11786944 11843612 11877216 11934318 11959233 12155286 12319296 12346312 12547392 12647008 12711912 12771814 12920304 12979824 13047807 13183808 13345904 13468704 13771238 13826992 13876707 13932888 13996996 14104194 14559168 14591096 14719056 14900028 14946464 14960352 15093962 15413541 15580864 15655772 15910752 15912424 15945644 15994086 16067766 16171584 16207048 16331172 16419553 16949216 17079024 17116478 17227072 17306432 17359008 17395248 17397076 17478879 17680416 17765418 18338496 18502276 18519468 18577184 18805592 18970512 19012114 19157721 19625408 19775712 19866704 20018856 20062757 20099904 20551388 20656857 20740488 20995494 21325448 21423688 21672768 21774896 21886644 22060406 22419696 22468862 22640943 22772032 23193664 23305172 23371296 23483658 23687224 23754432 23868636 23918466 24310572 24692624 25294016 25423824 25543628 25674717 25840608 25857689 25959648 26095614 26691808 26937408 27542476 27653984 27753414 27865776 27993992 28208388 28518171 29182192 29322491 29438112 29800056 29892928 29920704 30187924 30827082 31311544 31821504 31824848 31891288 31988172 32135532 32414096 32662344 32839106 33090609 33703293 33898432 34158048 34232956 34653853 34718016 34790496 34794152 34957758 35360832 35530836 37004552 37038936 37154368 37611184 37941024 38024228 38315442 38491739 39551424 39733408 40037712 40125514 41102776 41313714 41480976 41990988 42650896 42847376 43549792 43773288 44120812 44839392 44937724 45281886 46610344 46742592 46967316 47374448 47737272 47836932 47841959 48621144 49258659 49385248 50847648 50881259 51087256 51349434 51681216 51715378 51919296 52191228 53383616 55084952 55307968 55506828 55731552 55987984 56416776 56540497 57036342 58364384 58644982 58876224 59600112 60188271 60375848 61654164 62623088 63649696 63782576 63976344 64271064 64828192 65324688 65678212 66181218 67406586 68316096 68465912 69307706 69580992 69588304 69915516 71061672 74009104 74077872 75222368 75741809 75882048 76048456 76630884 76983478 77573067 79466816 80075424 80251028 82205552 82627428 82636111 82961952 83016791 83981976 85301792 85694752 87099584 87546576 87967473 88241624 89678784 89875448 90563772 93220688 93934632 94140629 94748896 95474544 95673864 95683918 97242288 98517318 98770496 101695296 101762518 102174512 102698868 103430756 103961559 104382456 110169904 111013656 111257107 111463104 111975968 112833552 113080994 114072684 115475217 116728768 117289964 119200224 120376542 120751696 121332233 123308328 123578741 125246176 127299392 127565152 127952688 128542128 129656384 130649376 131356424 132362436 134813172 136931824 138615412 139176608 139831032 142123344 143392639 143525877 148018208 148155744 150444736 151483618 152096912 152643777 153261768 153966956 155146134 160150848 160502056 162606541 164411104 165254856 165272222 165923904 166033582 167963952 169621491 170603584 171389504 175093152 175934946 176483248 179750896 180615083 181127544 186441376 187869264 188281258 189497792 190949088 191347728 191367836 194484576 197034636 203525036 204349024 205397736 206861512 207923118 208764912 213454189 220339808 222027312 222514214 223951936 225667104 226161988 227225427 228145368 230950434 234579928 238400448 240753084 241503392 242664466 246616656 247157482 247908333 249050373 250492352 255130304 255905376 257084256 261298752 262712848 264724872 265305409 269626344 273863648 277230824 278353216 279662064 282421887 284246688 286785278 287051754 296036416 296311488 302967236 304193824 305287554 306523536 307933912 310292268 321004112 325213082 328822208 330509712 330544444 332067164 333771321 335927904 339242982 350186304 351869892 352966496 359501792 361230166 362255088 363996699 370736223 372882752 375738528 376562516 381192383 381898176 382695456 382735672 388969152 394069272 407050072 408698048 410795472 413723024 415846236 417529824 426908378 430177917 440679616 444054624 445028428 451334208 452323976 454450854 456290736 461900868 469159856 481506168 483006784 485328932 487819623 493233312 494314964 495816666 498100746 511810752 514168512 525425696 529449744 530610818 539252688 541845249 547727296 554461648 559324128 564843774 568493376 573570556 574103508 605934472 608387648 610575108 613047072 615867824 620584536 621945467 640362567 642008224 650426164 661019424 661088888 664134328 667542642 671855808 678485964 703739784 705932992 719003584 722460332 724510176 727993398 741472446 751477056 753125032 762384766 765390912 765471344 788138544 795916227 814100144 821590944 827446048 831692472 835059648 853816756 860355834 888109248 890056856 904647952 908901708 908997221 912581472 923801736 938319712 963012336 970657864 975639246 986466624 988629928 991633332 996201492 1050851392 1058899488 1061221636 1074269443 1078505376 1083690498 1108923296 1118648256 1129687548 1143577149 1147141112 1148207016 1211868944 1221150216 1223828177 1226094144 1231735648 1241169072 1243890934 1280725134 1284016448 1300852328 1322038848 1322177776 1328268656 1335085284 1356971928 1407479568 1444920664 1449020352 1455986796 1482944892 1506250064 1524769532 1530942688 1576277088 1577319029 1591832454 1628200288 1643181888 1654892096 1663384944 1707633512 1720711668 1780113712 1788671951 1809295904 1817803416 1817994442 1825162944 1847603472 1865836401 1876639424 1926024672 1941315728 1951278492 1977259856 1983266664 1992402984 2113885033 2117798976 2122443272 2148538886 2157010752 2167380996 2217846592 2259375096 2287154298 2294282224 2296414032 2347996079 2423737888 2442300432 2447656354 2463471296 2482338144 2487781868 2561450268 2601704656 2644355552 2656537312 2670170568 2713943856 2726991663 2814959136 2889841328 2911973592 2918359499 2965889784 3012500128 3049539064 3061885376 3152554176 3154638058 3183664908 3222808329 3256400576 3326769888 3415267024 3441423336 3448970317 3560227424 3577343902 3618591808 3635606832 3635988884 3671484531 3695206944 3731672802 3852049344 3882631456 3902556984 3954519712 3966533328 3984805968 4227770066 4244886544 4297077772 4334761992 4518750192 4574308596 4588564448 4592828064 4695992158 4731957087 4847475776 4884600864 4895312708 4964676288 4975563736 5040802771 5122900536 5203409312 5288711104 5313074624 5340341136 5366015853 5427887712 5453983326 5629918272 5779682656 5823947184 5836718998 5931779568 6025000256 6099078128 6309276116 6341655099 6367329816 6445616658 6653539776 6830534048 6882846672 6897940634 7043988237 7120454848 7154687804 7271213664 7271977768 7342969062 7390413888 7463345604 7765262912 7805113968 7909039424 7933066656 7969611936 8455540132 8489773088 8594155544 8669523984 8755078497 9037500384 9148617192 9177128896 9185656128 9391984316 9463914174 9769201728 9790625416 9951127472 10081605542 10245801072 10346910951 10406818624 10680682272 10732031706 10855775424 10907966652 11559365312 11647894368 11673437996 11816963873 11863559136 12198156256 12618552232 12683310198 12734659632 12891233316 13661068096 13765693344 13795881268 14087976474 14309375608 14542427328 14543955536 14685938124 14926691208 15122408313 15610227936 15866133312 15939223872 16911080264 16979546176 17188311088 17339047968 17510156994 18075000768 18297234384 18783968632 18927828348 19581250832 19902254944 20163211084 20491602144 20693821902 21361364544 21464063412 21815933304 23252735363 23295788736 23346875992 23633927746 23727118272 24396312512 25237104464 25366620396 25469319264 25782466632 27531386688 27591762536 28175952948 28618751216 29087911072 29371876248 29853382416 30244816626 31220455872 33822160528 34376622176 34678095936 35020313988 35450891619 36594468768 37567937264 37855656696 37938673487 39162501664 39804509888 40326422168 40983204288 41387643804 42928126824 43631866608 46505470726 46693751984 47267855492 50474208928 50733240792 50938638528 51564933264 55183525072 55448830481 56351905896 57237502432 58175822144 58743752496 59706764832 60489633252 65530436023 67644321056 68753244352 69758206089 70040627976 70901783238 73188937536 75135874528 75711313392 75877346974 78325003328 80652844336 82775287608 85856253648 87263733216 93010941452 93387503968 94535710984 100948417856 101466481584 103129866528 110367050144 110897660962 112703811792 113816020461 114475004864 117487504992 119413529664 120979266504 131060872046 135288642112 139516412178 140081255952 141803566476 150271749056 151422626784 151754693948 161305688672 165550575216 166346491443 171712507296 174527466432 186021882904 186775007936 189071421968 196591308069 202932963168 206259733056 220734100288 221795321924 225407623584 227632040922 234975009984 241958533008 262121744092 279032824356 280162511904 283607132952 302845253568 303509387896 322611377344 331101150432 332692982886 343425014592 372043765808 378142843936 393182616138 405865926336 443590643848 450815247168 455264081844 483917066016 524243488184 558065648712 560325023808 567214265904 607018775792 662202300864 665385965772 720834796253 744087531616 756285687872 786365232276 887181287696 910528163688 967834132032 1048486976368 1116131297424 1134428531808 1214037551584 1330771931544 1441669592506 1488175063232 1572730464552 1774362575392 1821056327376 2096973952736 2162504388759 2232262594848 2268857063616 2428075103168 2661543863088 2883339185012 3145460929104 3548725150784 3642112654752 4193947905472 4325008777518 4464525189696 5323087726176 5766678370024 6290921858208 7284225309504 8650017555036 10646175452352 11533356740048 12581843716416 17300035110072 23066713480096 34600070220144 46133426960192 69200140440288 138400280880576
- Sum of all divisors σ(n): 477706171514880
- Sum of proper divisors (its aliquot sum) s(n): 339305890634304
- 138400280880576 is an abundant number, because the sum of its proper divisors (339305890634304) is greater than itself. Its abundance is 200905609753728
Bases of 138400280880576
- Binary: 111110111011111110100111001010000100101110000002
- Hexadecimal: 0x7DDFD39425C0
- Base-36: 1D247LUHMO
Squares and roots of 138400280880576
- 138400280880576 squared (1384002808805762) is 19154637747822330697974091776
- 138400280880576 cubed (1384002808805763) is 2651007244464294248278606411243331119742976
-
The
square root of 138400280880576 is 11764364.8736587561 -
The
cube root of 138400280880576 is 51726.4083314843
Scales and comparisons
How big is 138400280880576?- 138,400,280,880,576 seconds is equal to 4,400,700 years, 43 weeks, 1 day, 18 hours, 49 minutes, 36 seconds.
-
To count from 1 to 138,400,280,880,576 would take you about eleven million, one thousand, seven hundred fifty-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 138400280880576 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138400280880576
- 138400280880576 backwards is 675088082004831
- The number of decimal digits it has is: 15
- The sum of 138400280880576's digits is 60
- 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 138400280880576 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 138400280880576 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138400280880576/
Chicago style:
Numbermatics. 2024. "Number 138400280880576 - Facts about the integer". https://numbermatics.com/n/138400280880576/
The information we have on file for 138400280880576 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 138400280880576, math, Factors of 138400280880576, curriculum, school, college, exams, university, Prime factorization of 138400280880576, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred billion, two hundred eighty million, eight hundred eighty thousand, five hundred seventy-six.