138138519826944
138,138,519,826,944 is an even composite number composed of five prime numbers multiplied together.
138138519826944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138138519826944:
29 × 35 × 73 × 13 × 4992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 499 × 499)See below for interesting mathematical facts about the number 138138519826944 from the Numbermatics database.
Names of 138138519826944
- Cardinal: 138138519826944 can be written as One hundred thirty-eight trillion, one hundred thirty-eight billion, five hundred nineteen million, eight hundred twenty-six thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38138519826944 × 1014
Factors of 138138519826944
Divisors of 138138519826944
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 117 126 128 144 147 156 162 168 182 189 192 196 208 216 224 234 243 252 256 273 288 294 312 324 336 343 351 364 378 384 392 416 432 441 448 468 486 499 504 512 546 567 576 588 624 637 648 672 686 702 728 756 768 784 819 832 864 882 896 936 972 998 1008 1029 1053 1092 1134 1152 1176 1248 1274 1296 1323 1344 1372 1404 1456 1497 1512 1536 1568 1638 1664 1701 1728 1764 1792 1872 1911 1944 1996 2016 2058 2106 2184 2268 2304 2352 2457 2496 2548 2592 2646 2688 2744 2808 2912 2994 3024 3087 3136 3159 3276 3328 3402 3456 3493 3528 3584 3744 3822 3888 3969 3992 4032 4116 4212 4368 4459 4491 4536 4608 4704 4914 4992 5096 5184 5292 5376 5488 5616 5733 5824 5988 6048 6174 6272 6318 6487 6552 6656 6804 6912 6986 7056 7371 7488 7644 7776 7938 7984 8064 8232 8424 8736 8918 8982 9072 9261 9408 9828 9984 10192 10368 10479 10584 10752 10976 11232 11466 11648 11907 11976 12096 12348 12544 12636 12974 13104 13377 13473 13608 13824 13972 14112 14742 14976 15288 15552 15876 15968 16128 16464 16848 17199 17472 17836 17964 18144 18522 18816 19461 19656 19968 20384 20736 20958 21168 21952 22113 22464 22932 23296 23814 23952 24192 24451 24696 25088 25272 25948 26208 26754 26946 27216 27783 27944 28224 29484 29952 30576 31104 31437 31752 31936 32256 32928 33696 34398 34944 35672 35928 36288 37044 37632 38922 39312 40131 40419 40768 41472 41916 42336 43904 44226 44928 45409 45864 46592 47628 47904 48384 48902 49392 50544 51597 51896 52416 53508 53892 54432 55566 55888 56448 58383 58968 59904 61152 62208 62874 63504 63872 65856 67392 68796 69888 71344 71856 72576 73353 74088 75264 77844 78624 80262 80838 81536 83349 83832 84672 87808 88452 89856 90818 91728 94311 95256 95808 96768 97804 98784 101088 103194 103792 104832 107016 107784 108864 111132 111776 112896 116766 117936 120393 121257 122304 124416 125748 127008 127744 131712 134784 136227 137592 139776 142688 143712 145152 146706 148176 154791 155688 157248 160524 161676 163072 166698 167664 169344 171157 175149 175616 176904 179712 181636 183456 188622 190512 191616 195608 197568 202176 206388 207584 209664 214032 215568 217728 220059 222264 223552 225792 233532 235872 240786 242514 244608 249001 251496 254016 255488 263424 269568 272454 275184 282933 285376 287424 290304 293412 296352 309582 311376 314496 317863 321048 323352 326144 333396 335328 338688 342314 350298 353808 361179 363272 366912 377244 381024 383232 391216 395136 404352 408681 412776 415168 419328 428064 431136 435456 440118 444528 447104 467064 471744 481572 485028 489216 498002 502992 508032 513471 525447 526848 539136 544908 550368 565866 570752 574848 586824 592704 619164 622752 628992 635726 642096 646704 660177 666792 670656 677376 684628 700596 707616 722358 726544 733824 747003 754488 762048 766464 782432 790272 808704 817362 825552 830336 848799 856128 862272 870912 880236 889056 894208 934128 943488 953589 963144 970056 978432 996004 1005984 1016064 1026942 1050894 1083537 1089816 1100736 1131732 1141504 1149696 1173648 1185408 1226043 1238328 1245504 1257984 1271452 1284192 1293408 1320354 1333584 1341312 1369256 1401192 1415232 1444716 1453088 1467648 1494006 1508976 1524096 1540413 1564864 1576341 1580544 1617408 1634724 1651104 1660672 1697598 1712256 1724544 1743007 1760472 1778112 1788416 1868256 1886976 1907178 1926288 1940112 1980531 1992008 2011968 2032128 2053884 2101788 2167074 2179632 2201472 2225041 2241009 2263464 2283008 2299392 2347296 2370816 2452086 2476656 2491008 2542904 2568384 2586816 2640708 2667168 2682624 2738512 2802384 2830464 2860767 2889432 2906176 2935296 2988012 3017952 3048192 3080826 3129728 3152682 3237013 3269448 3302208 3321344 3395196 3424512 3449088 3486014 3520944 3556224 3678129 3736512 3773952 3814356 3852576 3880224 3961062 3984016 4023936 4107768 4203576 4334148 4359264 4402944 4450082 4482018 4526928 4621239 4694592 4741632 4904172 4953312 4982016 5085808 5136768 5173632 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366178176 376489512 380261952 382465536 390433568 394345728 403543296 407863638 411950448 414337664 423550701 427207872 430273728 434585088 439237764 443638944 446209792 466129872 470800512 475840911 480608856 484057944 488237568 501986016 507015936 512444058 524396106 540684963 543818184 549267264 554770944 564734268 569610496 573698304 585650352 591518592 611795457 617925672 621506496 627734016 634454548 640811808 645410592 658856646 665458416 669314688 683258744 699194808 706200768 720913284 725090912 732356352 752979024 760523904 768666087 780867136 786594159 788691456 807086592 815727276 823900896 828675328 847101402 854415744 860547456 878475528 887277888 892419584 932259744 941601024 951681822 961217712 968115888 988284969 1003972032 1014031872 1024888116 1048792212 1081369926 1087636368 1098534528 1110295459 1129468536 1139220992 1147396608 1171300704 1183037184 1223590914 1235851344 1243012992 1268909096 1281623616 1290821184 1317713292 1330916832 1338629376 1366517488 1398389616 1412401536 1427522733 1441826568 1450181824 1464712704 1505958048 1521047808 1537332174 1561734272 1573188318 1631454552 1647801792 1657350656 1694202804 1708831488 1721094912 1756951056 1774555776 1835386371 1864519488 1883202048 1903363644 1922435424 1936231776 1976569938 2007944064 2049776232 2097584424 2162739852 2175272736 2197069056 2220590918 2258937072 2305998261 2342601408 2366074368 2447181828 2471702688 2486025984 2537818192 2563247232 2581642368 2635426584 2661833664 2677258752 2733034976 2796779232 2824803072 2855045466 2883653136 2900363648 2964854907 3011916096 3042095616 3074664348 3123468544 3146376636 3262909104 3295603584 3330886377 3388405608 3417662976 3442189824 3513902112 3549111552 3670772742 3729038976 3806727288 3844870848 3872463552 3953139876 4015888128 4099552464 4195168848 4282568199 4325479704 4350545472 4394138112 4441181836 4517874144 4611996522 4685202816 4894363656 4943405376 4972051968 5075636384 5126494464 5163284736 5270853168 5323667328 5466069952 5506159113 5593558464 5649606144 5710090932 5767306272 5800727296 5929709814 6023832192 6149328696 6246937088 6292753272 6525818208 6591207168 6661772754 6776811216 6917994783 7027804224 7098223104 7341545484 7458077952 7613454576 7689741696 7744927104 7906279752 8031776256 8199104928 8390337696 8565136398 8650959408 8701090944 8882363672 9035748288 9223993044 9370405632 9788727312 9886810752 9992659131 10151272768 10252988928 10326569472 10541706336 10647334656 10932139904 11012318226 11187116928 11420181864 11534612544 11601454592 11859419628 12047664384 12298657392 12585506544 12847704597 13051636416 13182414336 13323545508 13553622432 13835989566 14055608448 14683090968 14916155904 15226909152 15379483392 15489854208 15812559504 16398209856 16780675392 17130272796 17301918816 17402181888 17764727344 18071496576 18447986088 18740811264 19577454624 19773621504 19985318262 20302545536 20753984349 21083412672 21294669312 21864279808 22024636452 22374233856 22840363728 23069225088 23718839256 24095328768 24597314784 25171013088 25695409194 26103272832 26647091016 27107244864 27671979132 28111216896 29366181936 29977977393 30453818304 30758966784 30979708416 31625119008 32796419712 33561350784 34260545592 34603837632 34804363776 35529454688 36142993152 36895972176 38543113791 39154909248 39547243008 39970636524 40605091072 41507968698 42166825344 43728559616 44049272904 44748467712 45680727456 46138450176 47437678512 49194629568 50342026176 51390818388 52206545664 53294182032 54214489728 55343958264 56222433792 58732363872 59955954786 60907636608 63250238016 65592839424 67122701568 68521091184 69207675264 71058909376 72285986304 73791944352 77086227582 78309818496 79941273048 81210182144 83015937396 84333650688 88098545808 89933932179 91361454912 92276900352 94875357024 98389259136 100684052352 102781636776 104413091328 106588364064 108428979456 110687916528 117464727744 119911909572 121815273216 126500476032 131185678848 134245403136 137042182368 138415350528 142117818752 147583888704 154172455164 156619636992 159882546096 166031874792 168667301376 176197091616 179867864358 182722909824 189750714048 196778518272 201368104704 205563273552 213176728128 216857958912 221375833056 234929455488 239823819144 243630546432 253000952064 269801796537 274084364736 276830701056 284235637504 295167777408 308344910328 313239273984 319765092192 332063749584 352394183232 359735728716 365445819648 379501428096 393557036544 402736209408 411126547104 426353456256 442751666112 469858910976 479647638288 506001904128 539603593074 548168729472 568471275008 590335554816 616689820656 639530184384 664127499168 704788366464 719471457432 730891639296 759002856192 822253094208 852706912512 885503332224 939717821952 959295276576 1079207186148 1096337458944 1180671109632 1233379641312 1279060368768 1328254998336 1409576732928 1438942914864 1518005712384 1644506188416 1705413825024 1771006664448 1918590553152 2158414372296 2192674917888 2466759282624 2558120737536 2656509996672 2819153465856 2877885829728 3289012376832 3542013328896 3837181106304 4316828744592 4933518565248 5116241475072 5313019993344 5755771659456 6578024753664 7674362212608 8633657489184 9867037130496 10626039986688 11511543318912 15348724425216 17267314978368 19734074260992 23023086637824 34534629956736 46046173275648 69069259913472 138138519826944
- Sum of all divisors σ(n): 520280243683200
- Sum of proper divisors (its aliquot sum) s(n): 382141723856256
- 138138519826944 is an abundant number, because the sum of its proper divisors (382141723856256) is greater than itself. Its abundance is 244003204029312
Bases of 138138519826944
- Binary: 111110110100010111000010110011101110010000000002
- Hexadecimal: 0x7DA2E1677200
- Base-36: 1CYRYK2O00
Squares and roots of 138138519826944
- 138138519826944 squared (1381385198269442) is 19082250659979000595708379136
- 138138519826944 cubed (1381385198269443) is 2635993861136224403156947918355009460240384
-
The
square root of 138138519826944 is 11753234.4410780813 -
The
cube root of 138138519826944 is 51693.7771252673
Scales and comparisons
How big is 138138519826944?- 138,138,519,826,944 seconds is equal to 4,392,377 years, 33 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,138,519,826,944 would take you about ten million, nine hundred eighty thousand, nine hundred forty-four 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 138138519826944 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138138519826944
- 138138519826944 backwards is 449628915831831
- 138138519826944 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138138519826944's digits is 72
- More coming soon!
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The information we have on file for 138138519826944 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 138138519826944, math, Factors of 138138519826944, curriculum, school, college, exams, university, Prime factorization of 138138519826944, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-eight billion, five hundred nineteen million, eight hundred twenty-six thousand, nine hundred forty-four.