138386978507232
138,386,978,507,232 is an even composite number composed of six prime numbers multiplied together.
What does the number 138386978507232 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
138386978507232 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138386978507232:
25 × 33 × 72 × 13 × 1012 × 1572
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 101 × 101 × 157 × 157)See below for interesting mathematical facts about the number 138386978507232 from the Numbermatics database.
Names of 138386978507232
- Cardinal: 138386978507232 can be written as One hundred thirty-eight trillion, three hundred eighty-six billion, nine hundred seventy-eight million, five hundred seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38386978507232 × 1014
Factors of 138386978507232
Divisors of 138386978507232
- Number of divisors d(n): 1296
-
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 72 78 84 91 96 98 101 104 108 112 117 126 144 147 156 157 168 182 189 196 202 208 216 224 234 252 273 288 294 303 312 314 336 351 364 378 392 404 416 432 441 468 471 504 546 588 606 624 628 637 672 702 707 728 756 784 808 819 864 882 909 936 942 1008 1092 1099 1176 1212 1248 1256 1274 1313 1323 1404 1413 1414 1456 1512 1568 1616 1638 1764 1818 1872 1884 1911 2016 2041 2121 2184 2198 2352 2424 2457 2512 2548 2626 2646 2727 2808 2826 2828 2912 3024 3232 3276 3297 3528 3636 3744 3768 3822 3939 4082 4239 4242 4368 4396 4704 4848 4914 4949 5024 5096 5252 5292 5454 5616 5652 5656 5733 6048 6123 6363 6552 6594 7056 7272 7536 7644 7693 7878 8164 8478 8484 8736 8792 9191 9696 9828 9891 9898 10192 10201 10504 10584 10908 11232 11304 11312 11466 11817 12246 12726 13104 13188 14112 14287 14544 14847 15072 15288 15386 15756 15857 16328 16956 16968 17199 17584 18369 18382 19089 19656 19782 19796 20384 20402 21008 21168 21816 22608 22624 22932 23079 23634 24492 24649 25452 26208 26376 27573 28574 29088 29673 29694 30576 30603 30772 31512 31714 32656 33912 33936 34398 35168 35451 36738 36764 38178 39312 39564 39592 40804 42016 42336 42861 43632 44541 45216 45864 46158 47268 47571 48984 49298 50904 52752 55107 55146 57148 59346 59388 61152 61206 61544 63024 63428 64337 65312 67824 67872 68796 69237 70902 71407 73476 73528 73947 76356 78624 79128 79184 81608 82719 85722 87264 89082 91728 91809 92316 94536 95142 97968 98596 100009 101808 105504 110214 110292 110999 114296 118692 118776 122412 123088 126048 126856 128583 128674 132613 133623 135648 137592 138474 141804 142713 142814 146952 147056 147894 152712 158256 158368 163216 165438 171444 172543 178164 183456 183618 184632 189072 190284 193011 195936 197192 200018 203616 206141 207711 214221 220428 220584 221841 221998 228592 237384 237552 244824 246176 248157 253712 257166 257348 265226 267246 275184 275427 276948 283608 285426 285628 293904 294112 295788 300027 305424 316512 320437 326432 330876 332997 342888 345086 356328 367236 369264 378144 380568 385749 386022 394384 397839 400036 412282 415422 428139 428442 440856 441168 443682 443996 457184 474768 475104 489648 496314 499849 507424 514332 514696 517629 530452 534492 550368 550854 553896 567216 570852 571256 579033 587808 591576 600054 610848 618423 640874 642663 661752 665523 665994 685776 690172 712656 734472 738528 761136 771498 772044 776993 788768 795678 800072 824564 830844 856278 856884 881712 882336 887364 887992 900081 928291 949536 961311 979296 992628 998991 999698 1028664 1029392 1035258 1060904 1068984 1101708 1107792 1134432 1141704 1142512 1158066 1183152 1193517 1200108 1207801 1236846 1281748 1285326 1323504 1331046 1331988 1371552 1380344 1425312 1442987 1468944 1499547 1522272 1542996 1544088 1552887 1553986 1591356 1600144 1601557 1649128 1661688 1712556 1713768 1737099 1763424 1774728 1775984 1800162 1855269 1856582 1922622 1927989 1985256 1997982 1999396 2057328 2058784 2070516 2121808 2137968 2203416 2215584 2243059 2283408 2285024 2316132 2330979 2366304 2387034 2400216 2415602 2473692 2489549 2563496 2570652 2647008 2662092 2663976 2700243 2760688 2784873 2883933 2885974 2937888 2996973 2999094 3085992 3088176 3105774 3107972 3182712 3200288 3203114 3298256 3323376 3425112 3427536 3474198 3549456 3551968 3580551 3600324 3623403 3710538 3713164 3845244 3855978 3970512 3995964 3998792 4114656 4141032 4243616 4275936 4328961 4406832 4486118 4498641 4566816 4632264 4658661 4661958 4774068 4800432 4804671 4831204 4947384 4979098 5126992 5141304 5324184 5327952 5400486 5521376 5565807 5569746 5767866 5771948 5993946 5998188 6171984 6176352 6211548 6215944 6365424 6406228 6498037 6596512 6646752 6729177 6850224 6855072 6948396 6992937 7098912 7161102 7200648 7246806 7421076 7426328 7468647 7690488 7711956 7941024 7991928 7997584 8282064 8354619 8651799 8657922 8813664 8972236 8997282 9264528 9317322 9323916 9548136 9600864 9609342 9662408 9894768 9958196 10100909 10253984 10282608 10648368 10655904 10800972 10870209 11131614 11139492 11210899 11535732 11543896 11987892 11996376 12343968 12423096 12431888 12730848 12812456 12986883 12996074 13458354 13495923 13700448 13896792 13985874 14322204 14401296 14414013 14493612 14842152 14852656 14937294 15380976 15423912 15701413 15983856 15995168 16564128 16709238 17303598 17315844 17426843 17944472 17994564 18529056 18634644 18647832 19096272 19218684 19324816 19494111 19789536 19916392 20187531 20201818 20565216 20820241 20978811 21296736 21601944 21740418 22263228 22278984 22405941 22421798 23071464 23087792 23975784 23992752 24846192 24863776 25063857 25624912 25973766 25992148 26916708 26991846 27793584 27971748 28644408 28802592 28828026 28987224 29684304 29705312 29874588 30302727 30761952 30847824 31402826 31967712 32364137 32610627 33418476 33632697 34607196 34631688 34853686 35888944 35989128 37269288 37295664 38192544 38437368 38649632 38960649 38988222 39832784 40375062 40403636 41640482 41957622 43203888 43242039 43480836 44526456 44557968 44811882 44843596 46142928 46175584 47104239 47951568 47985504 49692384 50127714 51249824 51947532 51984296 52280529 53833416 53983692 55587168 55943496 57288816 57656052 57974448 58482333 59368608 59749176 60562593 60605454 61695648 62460723 62805652 64728274 65221254 66836952 67217823 67265394 69214392 69263376 69707372 71777888 71978256 74538576 74591328 76874736 77921298 77976444 78476293 79665568 80750124 80807272 83280964 83915244 86407776 86484078 86961672 89052912 89115936 89623764 89687192 90908181 92285856 94208478 95903136 97092411 100255428 100898091 103895064 103968592 104561058 107666832 107967384 111886992 114577632 115312104 115948896 116964666 119498352 121125186 121210908 121987901 124921446 125611304 129456548 130442508 133673904 134435646 134530788 138428784 138526752 139414744 141312717 143956512 145741687 149077152 153749472 155842596 155952888 156841587 156952586 161500248 161614544 166561928 167830488 172968156 173923344 175446999 178105824 179247528 179374384 181816362 187382169 188416956 194184822 200510856 201796182 207790128 207937184 209122116 215333664 215934768 223773984 226548959 230624208 233929332 235428879 238996704 242250372 242421816 243975802 249842892 251222608 251444449 258913096 260885016 267347808 268871292 269061576 272724543 276857568 278829488 282625434 291277233 291483374 302694273 311685192 311905776 313683174 313905172 323000496 323229088 333123856 335660976 345936312 347846688 350893998 358495056 358748768 363632724 365963703 374764338 376833912 388369644 401021712 403592364 415580256 418244232 423938151 431869536 437225061 453097918 461248416 467858664 470524761 470857758 484500744 484843632 487951604 499685784 502445216 502888898 517826192 521770032 537742584 538123152 545449086 557658976 562146507 565250868 582554466 582966748 605388546 623370384 623811552 627366348 627810344 646000992 666247712 671321952 679646877 691872624 701787996 706286637 716990112 727265448 731927406 749528676 753667824 754333347 776739288 802043424 807184728 836488464 847876302 873831699 874450122 906195836 935717328 941049522 941715516 969001488 969687264 975903208 999371568 1005777796 1020191809 1035652384 1043540064 1075485168 1076246304 1090898172 1097891109 1124293014 1130501736 1165108932 1165933496 1210777092 1246740768 1254732696 1255620688 1311675183 1359293754 1383745248 1403575992 1412573274 1454530896 1463854812 1499057352 1507335648 1508666694 1553478576 1585842713 1614369456 1672976928 1695752604 1747663398 1748900244 1760111143 1812391672 1871434656 1882099044 1883431032 1938002976 1951806416 1998743136 2011555592 2038940631 2040383618 2118859911 2150970336 2181796344 2195782218 2248586028 2261003472 2263000041 2330217864 2331866992 2421554184 2509465392 2511241376 2623350366 2718587508 2807151984 2825146548 2909061792 2927709624 2998114704 3017333388 3060575427 3106957152 3171685426 3228738912 3268777837 3293673327 3391505208 3495326796 3497800488 3520222286 3624783344 3764198088 3766862064 3903612832 3935025549 4023111184 4077881262 4080767236 4237719822 4363592688 4391564436 4497172056 4522006944 4526000082 4660435728 4663733984 4757528139 4843108368 5018930784 5246700732 5280333429 5437175016 5614303968 5650293096 5855419248 5996229408 6034666776 6116821893 6121150854 6343370852 6537555674 6587346654 6783010416 6789000123 6990653592 6995600976 7040444572 7249566688 7528396176 7533724128 7870051098 8046222368 8155762524 8161534472 8475439644 8727185376 8783128872 8994344112 9052000164 9181726281 9320871456 9515056278 9686216736 9806333511 10493401464 10560666858 10874350032 11300586192 11710838496 12069333552 12233643786 12242301708 12320778001 12686741704 13075111348 13174693308 13566020832 13578000246 13981307184 13991201952 14080889144 14272584417 15056792352 15740102196 15841000287 16311525048 16323068944 16950879288 17566257744 17988688224 18104000328 18363452562 19030112556 19612667022 20986802928 21121333716 21748700064 22601172384 22881444859 24138667104 24467287572 24484603416 24641556002 25373483408 26150222696 26349386616 27156000492 27545178843 27962614368 28161778288 28545168834 29419000533 31480204392 31682000574 32623050096 32646137888 33901758576 35132515488 36208000656 36726905124 36962334003 38060225112 39225334044 41973605856 42242667432 42817753251 45762889718 47523000861 48934575144 48969206832 49283112004 50746966816 52300445392 52698773232 54312000984 55090357686 56323556576 57090337668 58838001066 62960408784 63364001148 65246100192 67803517152 68644334577 72416001312 73453810248 73924668006 76120450224 78450668088 84485334864 85635506502 88257001599 91525779436 95046001722 97869150288 97938413664 98566224008 104600890784 105397546464 108624001968 110180715372 110887002009 114180675336 117676002132 125920817568 126728002296 137288669154 146907620496 147849336012 152240900448 156901336176 160170114013 168970669728 171271013004 176514003198 183051558872 190092003444 195738300576 197132448016 205933003731 217248003936 220361430744 221774004018 228361350672 235352004264 253456004592 274577338308 293815240992 295698672024 313802672352 320340228026 332661006027 342542026008 353028006396 366103117744 380184006888 394264896032 411866007462 440722861488 443548008036 456722701344 470704008528 480510342039 506912009184 549154676616 591397344048 617799011193 640680456052 665322012054 685084052016 706056012792 732206235488 760368013776 823732014924 881445722976 887096016072 941408017056 961020684078 1098309353232 1182794688096 1235598022386 1281360912104 1330644024108 1370168104032 1412112025584 1441531026117 1520736027552 1647464029848 1774192032144 1922041368156 2196618706464 2471196044772 2562721824208 2661288048216 2824224051168 2883062052234 3294928059696 3548384064288 3844082736312 4324593078351 4942392089544 5125443648416 5322576096432 5766124104468 6589856119392 7688165472624 8649186156702 9884784179088 10645152192864 11532248208936 15376330945248 17298372313404 19769568358176 23064496417872 34596744626808 46128992835744 69193489253616 138386978507232
- Sum of all divisors σ(n): 513974270270160
- Sum of proper divisors (its aliquot sum) s(n): 375587291762928
- 138386978507232 is an abundant number, because the sum of its proper divisors (375587291762928) is greater than itself. Its abundance is 237200313255696
Bases of 138386978507232
- Binary: 111110111011100101110101011001000001001111000002
- Hexadecimal: 0x7DDCBAB209E0
- Base-36: 1D1Y3LYGO0
Squares and roots of 138386978507232
- 138386978507232 squared (1383869785072322) is 19150955820361091507076301824
- 138386978507232 cubed (1383869785072323) is 2650242911505259945119152192156574598791168
-
The
square root of 138386978507232 is 11763799.4928182957 -
The
cube root of 138386978507232 is 51724.7510466935
Scales and comparisons
How big is 138386978507232?- 138,386,978,507,232 seconds is equal to 4,400,277 years, 44 weeks, 4 days, 3 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,386,978,507,232 would take you about eleven million, six hundred ninety-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 138386978507232 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138386978507232
- 138386978507232 backwards is 232705879683831
- 138386978507232 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138386978507232's digits is 72
- More coming soon!
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"Number 138386978507232 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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The information we have on file for 138386978507232 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 138386978507232, math, Factors of 138386978507232, curriculum, school, college, exams, university, Prime factorization of 138386978507232, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-six billion, nine hundred seventy-eight million, five hundred seven thousand, two hundred thirty-two.