1138048921271808
1,138,048,921,271,808 is an even composite number composed of six prime numbers multiplied together.
1138048921271808 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand divisors.
Prime factorization of 1138048921271808:
29 × 34 × 7 × 134 × 29 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 13 × 13 × 13 × 13 × 29 × 4733)See below for interesting mathematical facts about the number 1138048921271808 from the Numbermatics database.
Names of 1138048921271808
- Cardinal: 1138048921271808 can be written as One quadrillion, one hundred thirty-eight trillion, forty-eight billion, nine hundred twenty-one million, two hundred seventy-one thousand, eight hundred eight.
Scientific notation
- Scientific notation: 1.138048921271808 × 1015
Factors of 1138048921271808
Divisors of 1138048921271808
- Number of divisors d(n): 2000
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 32 36 39 42 48 52 54 56 58 63 64 72 78 81 84 87 91 96 104 108 112 116 117 126 128 144 156 162 168 169 174 182 189 192 203 208 216 224 232 234 252 256 261 273 288 312 324 336 338 348 351 364 377 378 384 406 416 432 448 464 468 504 507 512 522 546 567 576 609 624 648 672 676 696 702 728 754 756 768 783 812 819 832 864 896 928 936 1008 1014 1044 1053 1092 1131 1134 1152 1183 1218 1248 1296 1344 1352 1392 1404 1456 1508 1512 1521 1536 1566 1624 1638 1664 1728 1792 1827 1856 1872 2016 2028 2088 2106 2184 2197 2262 2268 2304 2349 2366 2436 2457 2496 2592 2639 2688 2704 2784 2808 2912 3016 3024 3042 3132 3248 3276 3328 3393 3456 3549 3584 3654 3712 3744 4032 4056 4176 4212 4368 4394 4524 4536 4563 4608 4698 4732 4733 4872 4901 4914 4992 5184 5278 5376 5408 5481 5568 5616 5824 6032 6048 6084 6264 6496 6552 6591 6656 6786 6912 7098 7308 7371 7424 7488 7917 8064 8112 8352 8424 8736 8788 9048 9072 9126 9396 9464 9466 9744 9802 9828 9984 10179 10368 10556 10647 10752 10816 10962 11136 11232 11648 12064 12096 12168 12528 12992 13104 13182 13572 13689 13824 14196 14199 14616 14703 14742 14848 14976 15379 15834 16128 16224 16443 16704 16848 17472 17576 18096 18144 18252 18792 18928 18932 19488 19604 19656 19773 19968 20358 20736 21112 21294 21632 21924 22272 22464 23296 23751 24128 24192 24336 25056 25984 26208 26364 27144 27378 28392 28398 28561 29232 29406 29484 29952 30537 30758 31668 31941 32256 32448 32886 33131 33408 33696 34307 34944 35152 36192 36288 36504 37584 37856 37864 38976 39208 39312 39546 40716 41472 42224 42588 42597 43264 43848 44109 44544 44928 46137 46592 47502 48256 48384 48672 50112 51968 52416 52728 54288 54756 56784 56796 57122 58464 58812 58968 59319 59904 61074 61516 61529 63336 63713 63882 64896 65772 66262 66816 67392 68614 69888 70304 71253 72384 72576 73008 75168 75712 75728 77952 78416 78624 79092 81432 84448 85176 85194 85683 86528 87696 88218 89856 92274 95004 95823 96512 96768 97344 99393 100224 102921 103936 104832 105456 108576 109512 113568 113592 114244 116928 117624 117936 118638 122148 123032 123058 126672 127426 127764 127791 129792 131544 132327 132524 133632 134784 137228 137257 138411 139776 140608 142506 144768 145152 146016 150336 151424 151456 155904 156832 157248 158184 162864 168896 170352 170388 171366 175392 176436 177957 179712 184548 184587 190008 191139 191646 193024 194688 198786 199927 200448 205842 209664 210912 213759 217152 219024 227136 227184 228488 233856 235248 235872 237276 244296 246064 246116 253344 254852 255528 255582 257049 259584 263088 264654 265048 269568 274456 274514 276822 281216 285012 289536 290304 292032 298179 300672 302848 302912 308763 311808 313664 314496 316368 325728 337792 340704 340776 342732 350784 352872 355914 369096 369174 380016 382278 383292 383373 389376 396981 397572 399854 400896 411684 411771 415233 419328 421824 427518 430703 434304 438048 445991 454272 454368 456976 467712 470496 471744 474552 488592 492128 492232 506688 509704 511056 511164 514098 526176 529308 530096 539136 548912 549028 553644 553761 562432 570024 573417 579072 584064 596358 599781 601344 605696 605824 617526 627328 628992 632736 651456 675584 681408 681552 685464 701568 705744 711828 738192 738348 760032 764556 766584 766746 771147 778752 793962 795144 799708 799877 823368 823542 828269 830466 843648 855036 861406 868608 876096 891982 894537 908544 908736 913952 926289 935424 940992 943488 949104 960799 977184 984256 984464 1013376 1019408 1022112 1022328 1028196 1052352 1058616 1060192 1097824 1098056 1107288 1107522 1124864 1140048 1146834 1168128 1192716 1199562 1202688 1211648 1235052 1235313 1245699 1254656 1257984 1265472 1292109 1302912 1337973 1351168 1362816 1363104 1370928 1403136 1411488 1423656 1476384 1476696 1520064 1529112 1533168 1533492 1542294 1587924 1590288 1599416 1599754 1646736 1647084 1656538 1660932 1661283 1687296 1710072 1720251 1722812 1737216 1752192 1783964 1784341 1789074 1799343 1817088 1817472 1827904 1852578 1881984 1886976 1898208 1921598 1954368 1968512 1968928 2026752 2038816 2044224 2044656 2056392 2104704 2117232 2120384 2195648 2196112 2214576 2215044 2280096 2293668 2313441 2336256 2385432 2399124 2399631 2423296 2470104 2470626 2484807 2491398 2509312 2530944 2584218 2605824 2675946 2683611 2725632 2726208 2741856 2778867 2806272 2822976 2847312 2882397 2952768 2953392 3040128 3058224 3066336 3066984 3084588 3175848 3180576 3198832 3199508 3293472 3294168 3313076 3321864 3322566 3374592 3420144 3440502 3445624 3504384 3567928 3568682 3578148 3598686 3634944 3655808 3705156 3705939 3763968 3773952 3796416 3843196 3876327 3908736 3937024 3937856 4013919 4053504 4077632 4088448 4089312 4112784 4209408 4234464 4240768 4391296 4392224 4429152 4430088 4560192 4587336 4626882 4770864 4798248 4799262 4940208 4941252 4969614 4982796 4983849 5061888 5160753 5168436 5211648 5351892 5353023 5367222 5398029 5451264 5452416 5483712 5557734 5599139 5645952 5694624 5764794 5797883 5905536 5906784 6080256 6116448 6132672 6133968 6169176 6351696 6361152 6397664 6399016 6586944 6588336 6626152 6643728 6645132 6840288 6881004 6891248 7008768 7135856 7137364 7156296 7197372 7198893 7269888 7311616 7410312 7411878 7454421 7527936 7592832 7686392 7752654 7817472 7874048 7875712 8027838 8155264 8176896 8178624 8225568 8418816 8468928 8481536 8647191 8782592 8784448 8858304 8860176 9120384 9174672 9253764 9541728 9596496 9598524 9880416 9882504 9939228 9965592 9967698 10123776 10321506 10336872 10398401 10703784 10706046 10734444 10796058 10904832 10967424 11115468 11117817 11198278 11291904 11389248 11529588 11595766 11628981 11811072 11813568 12041757 12160512 12232896 12265344 12267936 12338352 12490387 12703392 12722304 12795328 12798032 13173888 13176672 13252304 13287456 13290264 13680576 13762008 13782496 14271712 14274728 14312592 14394744 14397786 14623232 14820624 14823756 14908842 15185664 15372784 15505308 15634944 15751424 16055676 16059069 16194087 16310528 16353792 16357248 16451136 16797417 16937856 16963072 17294382 17393649 17565184 17568896 17716608 17720352 18240768 18349344 18507528 19083456 19192992 19197048 19760832 19765008 19878456 19931184 19935396 20643012 20673744 20796802 21407568 21412092 21468888 21592116 21596679 21809664 21934848 22230936 22235634 22363263 22396556 22583808 22778496 23059176 23191532 23196433 23257962 23622144 23627136 24083514 24465792 24530688 24535872 24676704 24980774 25406784 25444608 25590656 25596064 25941573 26347776 26353344 26504608 26574912 26580528 27361152 27524016 27564992 28543424 28549456 28625184 28789488 28795572 29641248 29647512 29817684 30371328 30745568 31010616 31195203 31502848 32111352 32118138 32388174 32621056 32714496 32902272 33594834 33875712 34588764 34787298 34886943 35137792 35433216 35440704 36125271 36481536 36698688 37015056 37471161 38166912 38385984 38394096 39521664 39530016 39756912 39862368 39870792 41286024 41347488 41593604 42815136 42824184 42937776 43184232 43193358 43869696 44461872 44471268 44726526 44793112 45556992 46118352 46383064 46392866 46515924 47254272 48167028 48177207 48931584 49061376 49071744 49353408 49961548 50392251 50813568 50889216 51181312 51192128 51883146 52180947 52695552 52706688 53009216 53149824 53161056 54722304 55048032 55129984 57086848 57098912 57250368 57578976 57591144 59282496 59295024 59635368 61491136 62021232 62390406 64222704 64236276 64776348 64790037 65428992 65804544 67089789 67189668 67751424 69177528 69574596 69589299 69773886 70275584 70866432 70881408 72250542 72788807 73397376 74030112 74942322 76333824 76771968 76788192 77824719 79043328 79060032 79513824 79724736 79741584 82572048 82694976 83187208 85630272 85648368 85875552 86368464 86386716 88923744 88942536 89453052 89586224 91113984 92236704 92766128 92785732 93031848 93585609 94508544 96334056 96354414 97863168 98143488 98706816 99923096 100784502 101627136 102362624 102384256 103766292 104361894 105413376 106018432 106299648 106322112 109444608 110096064 110259968 112413483 114173696 114197824 114500736 115157952 115182288 118564992 118590048 119270736 122982272 124042464 124780812 128445408 128472552 129552696 129580074 131609088 134179578 134379336 135179213 138355056 139149192 139178598 139547772 141762816 144501084 144531621 145577614 146794752 148060224 149884644 151176753 152667648 153543936 153576384 155649438 156542841 158086656 158120064 159027648 159449472 159483168 162375031 165144096 165389952 166374416 171260544 171296736 171751104 172736928 172773432 177847488 177885072 178906104 179172448 184473408 185532256 185571464 186063696 187171218 192668112 192708828 196286976 197413632 199846192 201569004 203254272 204768512 207532584 208723788 208767897 210826752 212036864 212599296 212644224 218366421 220192128 220519936 224826966 228347392 228395648 229001472 230315904 230364576 237129984 237180096 238541472 245964544 248084928 249561624 256890816 256945104 259105392 259160148 268359156 268758672 270358426 276710112 278298384 278357196 279095544 280756827 283525632 289002168 289063242 291155228 293589504 296120448 299769288 301553629 302353506 307087872 307152768 311298876 313085682 316240128 318055296 318898944 318966336 324750062 330288192 330779904 332748832 337240449 342521088 342593472 343502208 345473856 345546864 355694976 355770144 357812208 358344896 368946816 371064512 371142928 372127392 374342436 385336224 385417656 394827264 399692384 403138008 405537639 409537024 415065168 417447576 417535794 424073728 425288448 436732842 440384256 449653932 453530259 456791296 458002944 460631808 460729152 469628523 474259968 474360192 477082944 487125093 491929088 496169856 499123248 513781632 513890208 518210784 518320296 536718312 537517344 540716852 553420224 556596768 556714392 558191088 561513654 578004336 578126484 582310456 592240896 599538576 603107258 604707012 614305536 622597752 626171364 626303691 632480256 636110592 637797888 637932672 649500124 655099263 660576384 661559808 665497664 674480898 685042176 685186944 687004416 690947712 691093728 711389952 711540288 715624416 716689792 737893632 742129024 742285856 744254784 748684872 770672448 770835312 799384768 806276016 811075278 830130336 834895152 835071588 842270481 850576896 873465684 880768512 899307864 904660887 907060518 913582592 921263616 921458304 939257046 946254491 948720384 954165888 974250186 992339712 998246496 1011721347 1027563264 1027780416 1036421568 1036640592 1073436624 1075034688 1081433704 1106840448 1113193536 1113428784 1116382176 1123027308 1156008672 1156252968 1164620912 1184481792 1199077152 1206214516 1209414024 1216612917 1228611072 1245195504 1252342728 1252607382 1272221184 1275865344 1299000248 1310198526 1321152768 1330995328 1348961796 1370373888 1374008832 1381895424 1382187456 1422779904 1423080576 1431248832 1433379584 1461375279 1475787264 1484258048 1484571712 1488509568 1497369744 1541344896 1541670624 1598769536 1612552032 1622150556 1660260672 1669790304 1670143176 1684540962 1746931368 1798615728 1809321774 1814121036 1842916608 1878514092 1878911073 1892508982 1897440768 1908331776 1948500372 1965297789 1984679424 1996492992 2023442694 2055126528 2055560832 2072843136 2073281184 2110875403 2146873248 2150069376 2162867408 2213680896 2226387072 2226857568 2232764352 2246054616 2312017344 2312505936 2329241824 2398154304 2412429032 2418828048 2433225834 2490391008 2504685456 2505214764 2551730688 2598000496 2620397052 2642305536 2661990656 2697923592 2713982661 2740747776 2763790848 2764374912 2838763473 2846161152 2862497664 2866759168 2922750558 2968516096 2969143424 2977019136 2994739488 3082689792 3083341248 3197539072 3225104064 3244301112 3320521344 3339580608 3340286352 3369081924 3493862736 3597231456 3618643548 3628242072 3649838751 3685833216 3757028184 3757822146 3785017964 3816663552 3897000744 3920197177 3930595578 3992985984 4046885388 4111121664 4145686272 4146562368 4221750806 4293746496 4300138752 4325734816 4384125837 4427361792 4452774144 4453715136 4465528704 4492109232 4624034688 4625011872 4658483648 4796308608 4824858064 4837656096 4866451668 4980782016 5009370912 5010429528 5196000992 5240794104 5323981312 5395847184 5427965322 5528749824 5677526946 5692322304 5724995328 5845501116 5895893367 5938286848 5954038272 5989478976 6165379584 6166682496 6332626209 6395078144 6450208128 6488602224 6641042688 6679161216 6680572704 6738163848 6987725472 7194462912 7237287096 7256484144 7299677502 7514056368 7515644292 7570035928 7794001488 7840394354 7861191156 7985971968 8093770776 8141947983 8222243328 8291372544 8293124736 8443501612 8516290419 8587492992 8600277504 8651469632 8768251674 8905548288 8907430272 8931057408 8984218464 9248069376 9250023744 9316967296 9592617216 9649716128 9675312192 9732903336 9961564032 10018741824 10020859056 10392001984 10481588208 10791694368 10855930644 10949516253 11057499648 11355053892 11449990656 11691002232 11760591531 11791786734 11876573696 11978957952 12333364992 12665252418 12900416256 12977204448 13152377511 13282085376 13358322432 13361145408 13476327696 13975450944 14388925824 14474574192 14512968288 14599355004 15028112736 15031288584 15140071856 15588002976 15680788708 15722382312 15971943936 16187541552 16283895966 16586249472 16887003224 17032580838 17174985984 17302939264 17536503348 17814860544 17862114816 17968436928 18496138752 18500047488 18633934592 18997878627 19185234432 19299432256 19350624384 19465806672 19923128064 20037483648 20041718112 20784003968 20963176416 21583388736 21711861288 21899032506 22710107784 23382004464 23521183062 23583573468 23957915904 24425843949 24666729984 25330504836 25548871257 25800832512 25954408896 26304755022 26716644864 26722290816 26952655392 27441380239 27950901888 28777851648 28949148384 29025936576 29198710008 30056225472 30062577168 30280143712 31176005952 31361577416 31444764624 32375083104 32567791932 33172498944 33774006448 34065161676 34349971968 34605878528 35073006696 35281774593 35629721088 35936873856 37000094976 37267869184 37995757254 38598864512 38701248768 38931613344 39846256128 40074967296 40083436224 41568007936 41926352832 43166777472 43423722576 43798065012 45420215568 46764008928 47042366124 47167146936 47915831808 48851687898 50661009672 51097742514 51908817792 52609510044 53444581632 53905310784 54882760478 55901803776 56993635881 57555703296 57898296768 58051873152 58397420016 60112450944 60125154336 60560287424 62352011904 62723154832 62889529248 64750166208 65135583864 67548012896 68130323352 69211757056 70146013392 70563549186 71873747712 74000189952 75991514508 76646613771 77197729024 77402497536 77863226688 80149934592 80166872448 82324140717 83136015872 83852705664 86333554944 86847445152 87596130024 90840431136 93528017856 94084732248 94334293872 97703375796 101322019344 102195485028 103817635584 105219020088 105845323779 106889163264 107810621568 109765520956 111803607552 113987271762 115796593536 116103746304 116794840032 120224901888 120250308672 121120574848 124704023808 125446309664 125779058496 129500332416 130271167728 135096025792 136260646704 140292026784 141127098372 143747495424 151983029016 153293227542 154395458048 155726453376 160333744896 164648281434 167705411328 170980907643 172667109888 173694890304 175192260048 181680862272 187056035712 188169464496 188668587744 195406751592 202644038688 204390970056 207635271168 210438040176 211690647558 215621243136 219531041912 227974543524 231593187072 232207492608 233589680064 240449803776 240500617344 242241149696 246972422151 249408047616 250892619328 251558116992 259000664832 260542335456 270192051584 272521293408 280584053568 282254196744 303966058032 306586455084 311452906752 317535971337 320667489792 329296562868 335410822656 341961815286 347389780608 350384520096 363361724544 374112071424 376338928992 377337175488 390813503184 405288077376 408781940112 420876080352 423381295116 431242486272 439062083824 455949087048 463186374144 467179360128 481001234688 484482299392 493944844302 501785238656 503116233984 518001329664 521084670912 540384103168 545042586816 561168107136 564508393488 607932116064 613172910168 622905813504 635071942674 658593125736 683923630572 694779561216 700769040192 726723449088 740917266453 748224142848 752677857984 754674350976 781627006368 810576154752 817563880224 841752160704 846762590232 878124167648 911898174096 934358720256 962002469376 987889688604 1003570477312 1006232467968 1042169341824 1080768206336 1090085173632 1122336214272 1129016786976 1215864232128 1226345820336 1270143885348 1317186251472 1367847261144 1389559122432 1401538080384 1453446898176 1481834532906 1505355715968 1509348701952 1563254012736 1621152309504 1635127760448 1683504321408 1693525180464 1756248335296 1823796348192 1868717440512 1975779377208 2007140954624 2084338683648 2180170347264 2222751799359 2244672428544 2258033573952 2431728464256 2452691640672 2540287770696 2634372502944 2735694522288 2803076160768 2963669065812 3010711431936 3018697403904 3126508025472 3242304619008 3270255520896 3367008642816 3387050360928 3512496670592 3647592696384 3951558754416 4168677367296 4360340694528 4445503598718 4516067147904 4863456928512 4905383281344 5080575541392 5268745005888 5471389044576 5606152321536 5927338131624 6021422863872 6253016050944 6540511041792 6734017285632 6774100721856 7024993341184 7295185392768 7903117508832 8891007197436 9032134295808 9726913857024 9810766562688 10161151082784 10537490011776 10942778089152 11854676263248 12506032101888 13081022083584 13548201443712 14049986682368 14590370785536 15806235017664 17782014394872 18064268591616 19621533125376 20322302165568 21074980023552 21885556178304 23709352526496 27096402887424 29180741571072 31612470035328 35564028789744 39243066250752 40644604331136 42149960047104 43771112356608 47418705052992 54192805774848 63224940070656 71128057579488 81289208662272 87542224713216 94837410105984 126449880141312 142256115158976 162578417324544 189674820211968 284512230317952 379349640423936 569024460635904 1138048921271808
- Sum of all divisors σ(n): 4351458491376480
- Sum of proper divisors (its aliquot sum) s(n): 3213409570104672
- 1138048921271808 is an abundant number, because the sum of its proper divisors (3213409570104672) is greater than itself. Its abundance is 2075360648832864
Bases of 1138048921271808
- Binary: 1000000101100001100101010011011000001111110000000002
- Hexadecimal: 0x40B0CA9B07E00
- Base-36: B7EKGG6800
Squares and roots of 1138048921271808
- 1138048921271808 squared (11380489212718082) is 1295155347207925843312215588864
- 1138048921271808 cubed (11380489212718083) is 1473950145769393953243373924645061510521946112
-
The
square root of 1138048921271808 is 33734980.6769146971 -
The
cube root of 1138048921271808 is 104404.7626700827
Scales and comparisons
How big is 1138048921271808?- 1,138,048,921,271,808 seconds is equal to 36,186,435 years, 24 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 1,138,048,921,271,808 would take you about one hundred eight million, five hundred fifty-nine thousand, three hundred six 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 1138048921271808 cubic inches would be around 8700.4 feet tall.
Recreational maths with 1138048921271808
- 1138048921271808 backwards is 8081721298408311
- 1138048921271808 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1138048921271808'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 1138048921271808 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 1138048921271808 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/1138048921271808/
Chicago style:
Numbermatics. 2024. "Number 1138048921271808 - Facts about the integer". https://numbermatics.com/n/1138048921271808/
The information we have on file for 1138048921271808 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 1138048921271808, math, Factors of 1138048921271808, curriculum, school, college, exams, university, Prime factorization of 1138048921271808, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, one hundred thirty-eight trillion, forty-eight billion, nine hundred twenty-one million, two hundred seventy-one thousand, eight hundred eight.