138329472262464
138,329,472,262,464 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138329472262464 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
138329472262464 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138329472262464:
26 × 32 × 73 × 37 × 53 × 67 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 37 × 53 × 67 × 73 × 73)See below for interesting mathematical facts about the number 138329472262464 from the Numbermatics database.
Names of 138329472262464
- Cardinal: 138329472262464 can be written as One hundred thirty-eight trillion, three hundred twenty-nine billion, four hundred seventy-two million, two hundred sixty-two thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.38329472262464 × 1014
Factors of 138329472262464
Divisors of 138329472262464
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 37 42 48 49 53 56 63 64 67 72 73 74 84 96 98 106 111 112 126 134 144 146 147 148 159 168 192 196 201 212 219 222 224 252 259 268 288 292 294 296 318 333 336 343 371 392 402 424 438 441 444 448 469 477 504 511 518 536 576 584 588 592 603 636 657 666 672 686 742 777 784 804 848 876 882 888 938 954 1008 1022 1029 1036 1072 1113 1168 1176 1184 1206 1272 1314 1332 1344 1372 1407 1484 1533 1554 1568 1608 1696 1752 1764 1776 1813 1876 1908 1961 2016 2044 2058 2072 2144 2226 2331 2336 2352 2368 2412 2479 2544 2597 2628 2664 2701 2744 2814 2968 3066 3087 3108 3136 3216 3283 3339 3392 3504 3528 3551 3552 3577 3626 3752 3816 3869 3922 4032 4088 4116 4144 4221 4288 4452 4599 4662 4672 4704 4824 4891 4958 5088 5194 5256 5328 5329 5402 5439 5488 5628 5883 5936 6132 6174 6216 6432 6566 6678 7008 7056 7102 7104 7154 7252 7437 7504 7632 7738 7791 7844 8103 8176 8232 8288 8442 8904 9198 9324 9408 9648 9782 9849 9916 10176 10388 10512 10653 10656 10658 10731 10804 10878 10976 11256 11607 11766 11872 12264 12348 12432 12691 12864 13132 13356 13727 14016 14112 14204 14308 14504 14673 14874 15008 15264 15476 15582 15688 15987 16206 16317 16352 16464 16576 16884 17353 17649 17808 18179 18396 18648 18907 19296 19564 19698 19832 20776 21024 21306 21312 21316 21462 21608 21756 21952 22311 22512 22981 23214 23373 23532 23744 24309 24528 24696 24857 24864 25039 25382 26264 26712 27083 27454 28224 28408 28616 29008 29346 29547 29748 30016 30528 30952 31164 31376 31959 31974 32193 32412 32634 32704 32928 33768 34237 34706 34821 35298 35616 36358 36792 37296 37303 37814 38073 38592 39128 39396 39664 41181 41552 42048 42612 42632 42924 43216 43512 44019 44622 45024 45962 46428 46746 47064 47961 48618 49056 49392 49714 49728 50078 50764 52059 52528 53424 54166 54537 54908 56721 56816 57232 58016 58692 59094 59496 61904 62328 62752 63918 63948 64386 64824 65268 65856 67536 68474 68943 69412 69642 70596 71232 72716 73584 74571 74592 74606 75117 75628 76146 78256 78792 79328 81249 82362 83104 85224 85264 85848 86432 87024 88038 89244 90048 91924 92856 93492 94128 95922 96089 97236 98112 98784 99428 100156 101528 102711 104118 105056 106848 108332 109074 109816 111909 113442 113632 114219 114464 116032 117384 118188 118992 121471 123543 123808 124656 125504 127836 127896 128772 129648 130536 131387 132349 135072 136948 137886 138824 139284 141192 143153 145432 147168 149142 149184 149212 150234 151256 152292 156177 156512 157584 158656 162498 163611 164724 166208 170163 170448 170528 171696 172864 173999 174048 176076 178488 180967 183848 185712 186984 188256 189581 191844 192178 194472 197173 197568 198856 200312 203056 205422 206829 208236 210112 213696 216664 218148 219632 223713 223818 225351 226884 227264 228438 228928 234768 236376 237984 239659 242942 243747 247086 247616 249312 255672 255792 257544 259223 259296 261072 261121 262774 264698 270144 273896 275772 277648 278568 282384 282437 286306 288267 290864 294336 298284 298424 300468 302512 304584 308133 312354 313024 315168 324996 327222 329448 335727 340326 340896 341056 343392 347998 348096 352152 356976 357043 361934 364413 367696 371424 373968 376512 379162 383688 384356 388944 394161 394346 397047 397712 400624 406112 410844 413658 416472 429459 433328 436296 439264 447426 447636 450702 453768 456876 469536 472752 475968 479318 485884 487494 494172 498624 511344 511584 515088 518446 518592 521997 522144 522242 525548 529396 542901 547792 551544 555296 557136 564768 564874 568743 572612 576534 581728 591519 596568 596848 600936 605024 609168 616266 624708 630336 649992 654444 658896 671454 672623 680652 681792 686784 695996 704304 713952 714086 718977 723868 728826 735392 742848 747936 758324 767376 768712 777669 777888 783363 788322 788692 794094 795424 801248 812224 821688 827316 832944 847311 850297 858918 864801 866656 872592 878528 894852 895272 901404 907536 913752 919709 926443 939072 945504 958636 971768 974988 988344 1002071 1022688 1023168 1030176 1036892 1043994 1044288 1044484 1051096 1058792 1071129 1085802 1093239 1095584 1103088 1110592 1114272 1129536 1129748 1137486 1145224 1153068 1163456 1182483 1183038 1191141 1193136 1193696 1201872 1210048 1217993 1218336 1232532 1249416 1266769 1288377 1299984 1308888 1317792 1327067 1342908 1345246 1361304 1380211 1391992 1408608 1427904 1428172 1437954 1447736 1457652 1470784 1495872 1516648 1534752 1537424 1555338 1555776 1565991 1566726 1576644 1577384 1588188 1590848 1602496 1628703 1643376 1654632 1665888 1677613 1694622 1700594 1706229 1717836 1729602 1733312 1745184 1774557 1789704 1790544 1802808 1814561 1815072 1827504 1827847 1839418 1852886 1891008 1917272 1943536 1949976 1976688 1977059 2004142 2017869 2045376 2060352 2073784 2087988 2088968 2102192 2117584 2142258 2156931 2171604 2186478 2191168 2206176 2228544 2259496 2274972 2290448 2306136 2333007 2350089 2364966 2366076 2382282 2386272 2387392 2403744 2435986 2436672 2465064 2498832 2499301 2533538 2541933 2550891 2576754 2599968 2617776 2635584 2654134 2685816 2690492 2722608 2759127 2760422 2779329 2783984 2817216 2856344 2875908 2895472 2915304 3006213 3033296 3069504 3074848 3110676 3131982 3133452 3153288 3154768 3176376 3213387 3257406 3286752 3309264 3331776 3355226 3389244 3401188 3412458 3435672 3459204 3490368 3549114 3579408 3581088 3605616 3629122 3630144 3653979 3655008 3655694 3678836 3705772 3800307 3834544 3887072 3899952 3953376 3954118 3981201 4008284 4035738 4140633 4147568 4175976 4177936 4204384 4235168 4284516 4313862 4343208 4372956 4412352 4518992 4549944 4580896 4612272 4666014 4700178 4729932 4732152 4764564 4772544 4807488 4871972 4930128 4997664 4998602 5032839 5067076 5083866 5101782 5153508 5199936 5235552 5308268 5371632 5380984 5443683 5445216 5483541 5518254 5520844 5558658 5567968 5712688 5751816 5790944 5830608 5931177 6012426 6053607 6066592 6149696 6221352 6263964 6266904 6306576 6309536 6352752 6426774 6437963 6514812 6573504 6618528 6710452 6778488 6802376 6824916 6871344 6918408 7014497 7098228 7158816 7162176 7211232 7258244 7307958 7310016 7311388 7357672 7411544 7497903 7600614 7652673 7669088 7774144 7799904 7906752 7908236 7962402 8016568 8071476 8277381 8281266 8295136 8337987 8351952 8355872 8408768 8470336 8569032 8627724 8686416 8745912 8867383 9018639 9037984 9099888 9161792 9224544 9332028 9400356 9459864 9464304 9529128 9591251 9661477 9743944 9860256 9995328 9997204 10065678 10134152 10167732 10203564 10307016 10450169 10471104 10616536 10743264 10761968 10887366 10890432 10961937 10967082 11036508 11041688 11117316 11135936 11400921 11425376 11503632 11581888 11661216 11862354 11943603 12024852 12107214 12133184 12421899 12442704 12527928 12533808 12613152 12619072 12701927 12705504 12853548 12875926 13029624 13210591 13237056 13420904 13556976 13604752 13649832 13742688 13836816 13839413 14028994 14196456 14317632 14422464 14516488 14615916 14622776 14715344 14823088 14995806 15098517 15201228 15305346 15338176 15599808 15816472 15924804 16033136 16142952 16331049 16450623 16554762 16562532 16590272 16675974 16703904 16711744 17138064 17255448 17372832 17491824 17495107 17734766 17793531 18037278 18075968 18199776 18449088 18664056 18800712 18919728 18923279 18928608 19058256 19182502 19313889 19322954 19487888 19720512 19994408 20131356 20268304 20335464 20407128 20614032 20900338 21043491 21233072 21486528 21523936 21774732 21923874 21934164 22073016 22083376 22234632 22493709 22801842 22850752 23007264 23322432 23724708 23887206 24049704 24214428 24843798 24885408 25055856 25067616 25226304 25403854 25411008 25707096 25751852 26059248 26421182 26602149 26841808 27113952 27209504 27299664 27485376 27673632 27678826 28057988 28392912 28773753 28984431 29032976 29231832 29245552 29430688 29646176 29991612 30197034 30402456 30610692 31350507 31632944 31849608 32066272 32285904 32662098 32901246 33109524 33125064 33351948 33407808 34276128 34510896 34745664 34983648 34990214 35469532 35587062 36074556 36399552 37328112 37601424 37839456 37846558 37857216 38105781 38116512 38365004 38627778 38645908 38975776 39631773 39988816 40262712 40536608 40670928 40814256 41228064 41518239 41800676 42086982 42466144 43047872 43549464 43847748 43868328 44146032 44166752 44469264 44987418 45065741 45603684 46014528 47449416 47774412 48099408 48428856 49101479 49687596 49770816 50111712 50135232 50807708 51414192 51503704 52118496 52485321 52842364 53204298 53683616 54227904 54419008 54599328 55347264 55357652 56115976 56769837 56785824 57547506 57941667 57968862 58065952 58463664 58491104 58861376 59292352 59983224 60394068 60804912 61221384 62071681 62701014 63130473 63265888 63699216 64132544 64571808 65324196 65802492 66219048 66250128 66703896 67138757 67630339 68552256 69021792 69967296 69980428 70939064 71174124 72149112 73151183 74656224 75202848 75678912 75693116 76211562 76233024 76730008 77255556 77291816 77951552 79263546 79806447 79977632 80525424 81073216 81341856 81628512 82456128 83036478 83601352 84173964 84932288 86321259 86953293 87098928 87695496 87736656 88292064 88333504 88913489 88938528 89974836 90131482 91207368 92474137 94051521 94898832 95548824 96198816 96857712 96875891 98202958 99375192 100223424 101615416 102828384 103007408 104236992 104970642 105684728 106408596 107367232 109198656 110715304 112231952 113539674 113571648 114317343 115095012 115883334 115937724 116131904 116927328 116982208 118895319 119966448 120788136 121609824 122442768 122465749 124143362 124554717 125402028 126260946 126531776 127398432 129143616 130648392 131604984 132438096 132462953 132500256 133407792 134277514 135197223 135260678 138043584 139960856 141878128 142348248 144298224 146302366 147304437 149312448 150405696 151386232 152423124 153460016 154511112 154583632 157455963 158527092 159612894 159955264 161050848 162683712 163257024 166072956 167202704 168347928 170309511 172642518 173906586 174197856 175390992 175473312 176584128 177826978 177877056 179949672 180262964 182414736 184948274 186215043 188103042 189797664 191097648 192397632 193715424 193751782 196405916 198750384 201416271 202891017 203230832 205656768 206014816 209941284 211369456 212817192 219453549 221430608 224463904 227079348 228634686 230190024 231766668 231875448 233854656 237790638 239932896 241576272 243219648 244885536 244931498 248286724 249109434 250804056 252521892 254796864 261296784 263209968 264876192 264925906 265000512 266740467 266815584 268555028 270394446 270521356 277422411 279921712 283756256 284696496 288596448 290627673 292604732 294608874 302772464 304846248 306920032 309022224 309167264 314911926 317054184 319225788 322101696 332145912 334405408 336695856 340619022 345285036 347813172 348395712 350781984 350946624 355653956 359899344 360525928 364829472 367397247 369896548 372430086 376206084 379595328 382195296 387430848 387503564 392811832 397388859 397500768 402832542 405591669 405782034 406461664 412029632 419882568 422738912 425634384 438907098 441913311 442861216 448927808 454158696 457269372 460380048 463533336 463750896 469971299 475581276 479865792 483152544 489771072 489862996 496573448 498218868 501608112 505043784 512058281 522593568 526419936 529752384 529851812 533480934 533631168 537110056 540788892 541042712 554844822 558645129 559843424 567512512 569392992 577192896 581255346 585209464 589217748 604248813 605544928 608673051 609692496 613840064 618044448 618334528 629823852 634108368 638451576 647318959 658360647 664291824 668810816 673391712 681238044 690570072 695626344 700161323 701563968 711307912 719798688 721051856 729658944 734794494 739793096 744860172 752412168 764390592 775007128 785623664 794777718 795001536 800221401 805665084 811183338 811564068 812923328 832267233 839765136 845477824 851268768 871883019 877814196 883826622 885722432 908317392 914538744 920760096 927066672 927240671 927501792 939942598 951162552 966305088 979725992 993146896 996437736 1003216224 1010087568 1024116562 1045187136 1052839872 1059703624 1066961868 1074220112 1081577784 1082085424 1102191741 1109689644 1117290258 1119686848 1138785984 1162510692 1170418928 1178435496 1192166577 1208497626 1211089856 1217346102 1219384992 1236088896 1259647704 1268216736 1276903152 1294637918 1316721294 1328583648 1346783424 1362476088 1381140144 1391252688 1400322646 1409913897 1422615824 1439597376 1442103712 1469588988 1479586192 1489720344 1504824336 1536174843 1550014256 1571247328 1589555436 1600442802 1611330168 1622366676 1623128136 1664534466 1679530272 1702537536 1743766038 1755628392 1767653244 1816634784 1829077488 1841520192 1854133344 1854481342 1855003584 1879885196 1902325104 1941956877 1959451984 1986293792 1992875472 2006432448 2020175136 2048233124 2100483969 2119407248 2133923736 2148440224 2163155568 2164170848 2204383482 2219379288 2234580516 2325021384 2340837856 2356870992 2384333154 2416995252 2434692204 2438769984 2519295408 2536433472 2553806304 2589275836 2633442588 2657167296 2724952176 2762280288 2781722013 2782505376 2800645292 2819827794 2845231648 2884207424 2939177976 2959172384 2979440688 3009648672 3072349686 3100028512 3142494656 3179110872 3200885604 3222660336 3244733352 3246256272 3289799093 3329068932 3359060544 3487532076 3511256784 3535306488 3584407967 3633269568 3658154976 3708266688 3708962684 3759770392 3804650208 3883913754 3918903968 3972587584 3985750944 4040350272 4096466248 4200967938 4229741691 4238814496 4267847472 4296880448 4326311136 4328341696 4408766964 4438758576 4469161032 4531232713 4608524529 4650042768 4681675712 4713741984 4768666308 4833990504 4869384408 4901129261 5038590816 5107612608 5178551672 5266885176 5449904352 5524560576 5563444026 5565010752 5601290584 5639655588 5690463296 5825870631 5878355952 5918344768 5958881376 6019297344 6144699372 6200057024 6301451907 6358221744 6401771208 6445320672 6489466704 6490684697 6492512544 6579598186 6658137864 6975064152 7022513568 7070612976 7168815934 7316309952 7417925368 7519540784 7609300416 7767827508 7837807936 7971501888 8192932496 8345166039 8401935876 8459483382 8477628992 8535694944 8652622272 8817533928 8877517152 8938322064 9062465426 9217049058 9300085536 9427483968 9537332616 9667981008 9738768816 9802258522 9869397279 10077181632 10357103344 10533770352 10753223901 10899808704 11126888052 11202581168 11279311176 11651741262 11756711904 11917762752 12289398744 12602903814 12716443488 12803542416 12890641344 12978933408 12981369394 12985025088 13159196372 13316275728 13593698139 13950128304 14045027136 14141225952 14337631868 14703387783 14835850736 15039081568 15535655016 16385864992 16690332078 16803871752 16918966764 17071389888 17635067856 17755034304 17876644128 18124930852 18434098116 18600171072 19074665232 19335962016 19472054091 19477537632 19604517044 19738794558 20714206688 21067540704 21506447802 22253776104 22405162336 22558622352 23303482524 23513423808 24578797488 25205807628 25432886976 25607084832 25957866816 25962738788 26318392744 26632551456 27187396278 27900256608 28282451904 28675263736 29406775566 29608191837 29671701472 30078163136 31071310032 32259671703 32771729984 33380664156 33607743504 33837933528 34307904827 35270135712 35753288256 36249861704 36868196232 38149330464 38671924032 38944108182 38955075264 39209034088 39477589116 40781094417 41428413376 42135081408 43012895604 44110163349 44507552208 44810324672 45117244704 46606965048 49157594976 50411615256 51214169664 51925477576 52636785488 53265102912 54374792556 55800513216 57350527472 58416162273 58813551132 59216383674 59343402944 62142620064 64519343406 66761328312 67215487008 67675867056 68615809654 70540271424 72499723408 73736392464 76298660928 77888216364 78418068176 78955178232 81562188834 86025791208 88220326698 89015104416 90234489408 93213930096 98315189952 100823230512 102923714481 103850955152 105273570976 108749585112 114701054944 116832324546 117627102264 118432767348 124285240128 129038686812 133522656624 134430974016 135351734112 137231619308 144999446816 147472784928 155776432728 156836136352 157910356464 163124377668 172051582416 176440653396 178030208832 186427860192 201646461024 205847428962 207701910304 210547141952 217499170224 229402109888 233664649092 235254204528 236865534696 240155333789 258077373624 267045313248 270703468224 274463238616 289998893632 294945569856 308771143443 311552865456 313672272704 315820712928 326248755336 344103164832 352881306792 372855720384 403292922048 411694857924 415403820608 434998340448 467329298184 470508409056 473731069392 480310667578 516154747248 534090626496 548926477232 617542286886 623105730912 631641425856 652497510672 688206329664 705762613584 720466001367 823389715848 869996680896 934658596368 941016818112 947462138784 960621335156 1032309494496 1097852954464 1235084573772 1246211461824 1304995021344 1411525227168 1440932002734 1646779431696 1869317192736 1894924277568 1921242670312 2064618988992 2161398004101 2195705908928 2470169147544 2609990042688 2823050454336 2881864005468 3293558863392 3738634385472 3842485340624 4322796008202 4940338295088 5763728010936 6587117726784 7684970681248 8645592016404 9880676590176 11527456021872 15369941362496 17291184032808 19761353180352 23054912043744 34582368065616 46109824087488 69164736131232 138329472262464
- Sum of all divisors σ(n): 497884150483200
- Sum of proper divisors (its aliquot sum) s(n): 359554678220736
- 138329472262464 is an abundant number, because the sum of its proper divisors (359554678220736) is greater than itself. Its abundance is 221225205958272
Bases of 138329472262464
- Binary: 111110111001111010101110000111001100001010000002
- Hexadecimal: 0x7DCF570E6140
- Base-36: 1D17OK8280
Squares and roots of 138329472262464
- 138329472262464 squared (1383294722624642) is 19135042896411797146903351296
- 138329472262464 cubed (1383294722624643) is 2646940385580254492666072946171036906553344
-
The
square root of 138329472262464 is 11761355.0351336643 -
The
cube root of 138329472262464 is 51717.5853717737
Scales and comparisons
How big is 138329472262464?- 138,329,472,262,464 seconds is equal to 4,398,449 years, 17 weeks, 3 days, 14 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,329,472,262,464 would take you about ten million, nine hundred ninety-six thousand, one hundred twenty-three 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 138329472262464 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138329472262464
- 138329472262464 backwards is 464262274923831
- 138329472262464 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138329472262464'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 138329472262464 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 138329472262464 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138329472262464/
Chicago style:
Numbermatics. 2024. "Number 138329472262464 - Facts about the integer". https://numbermatics.com/n/138329472262464/
The information we have on file for 138329472262464 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 138329472262464, math, Factors of 138329472262464, curriculum, school, college, exams, university, Prime factorization of 138329472262464, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred twenty-nine billion, four hundred seventy-two million, two hundred sixty-two thousand, four hundred sixty-four.