138016803285504
138,016,803,285,504 is an even composite number composed of eight prime numbers multiplied together.
138016803285504 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138016803285504:
29 × 32 × 11 × 13 × 61 × 71 × 137 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 61 × 71 × 137 × 353)See below for interesting mathematical facts about the number 138016803285504 from the Numbermatics database.
Names of 138016803285504
- Cardinal: 138016803285504 can be written as One hundred thirty-eight trillion, sixteen billion, eight hundred three million, two hundred eighty-five thousand, five hundred four.
Scientific notation
- Scientific notation: 1.38016803285504 × 1014
Factors of 138016803285504
Divisors of 138016803285504
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 61 64 66 71 72 78 88 96 99 104 117 122 128 132 137 142 143 144 156 176 183 192 198 208 213 234 244 256 264 274 284 286 288 312 352 353 366 384 396 411 416 426 429 468 488 512 528 548 549 568 572 576 624 639 671 704 706 732 768 781 792 793 822 832 852 858 923 936 976 1056 1059 1096 1098 1136 1144 1152 1233 1248 1278 1287 1342 1408 1412 1464 1507 1536 1562 1584 1586 1644 1664 1704 1716 1781 1846 1872 1952 2013 2112 2118 2192 2196 2272 2288 2304 2343 2379 2466 2496 2556 2574 2684 2769 2816 2824 2928 3014 3124 3168 3172 3177 3288 3328 3408 3432 3562 3692 3744 3883 3904 4026 4224 4236 4331 4384 4392 4521 4544 4576 4589 4608 4686 4758 4932 4992 5112 5148 5343 5368 5538 5632 5648 5856 6028 6039 6248 6336 6344 6354 6576 6656 6816 6864 7029 7124 7137 7384 7488 7766 7808 8052 8307 8357 8448 8472 8662 8723 8768 8784 9042 9088 9152 9178 9372 9516 9727 9864 9984 10153 10224 10296 10686 10736 11076 11296 11649 11712 12056 12078 12496 12672 12688 12708 12993 13152 13563 13632 13728 13767 14058 14248 14274 14768 14976 15532 15616 16029 16104 16614 16714 16896 16944 17324 17446 17536 17568 18084 18176 18304 18356 18744 19032 19454 19591 19728 19968 20306 20448 20592 21372 21472 21533 22152 22592 23298 23424 24112 24156 24992 25063 25071 25344 25376 25416 25986 26169 26304 27126 27264 27456 27534 28116 28496 28548 29181 29536 29952 30459 31064 31232 32058 32208 33228 33428 33888 34648 34892 34947 35072 35136 36168 36352 36608 36712 37488 38064 38908 38979 39182 39456 40612 40896 41184 41301 42744 42944 43066 44304 45184 46596 46848 47641 48224 48312 48361 49984 50126 50142 50479 50688 50752 50832 51972 52338 52608 54252 54528 54912 55068 56232 56303 56992 57096 58362 58773 59072 59904 60918 62128 64116 64416 64599 66456 66856 67776 69296 69784 69894 70144 70272 72336 73216 73424 74976 75189 75213 76128 77816 77958 78364 78507 78912 81224 81792 82368 82602 85488 85888 86132 87543 88608 90368 91377 91927 93192 93696 95282 96448 96624 96722 99968 100252 100284 100958 101504 101664 103944 104676 105216 106997 108504 108641 109056 109824 110136 112464 112606 113984 114192 116724 117546 118144 121836 124256 126451 128232 128832 129198 132912 133712 135552 138592 139568 139788 140544 142923 144672 145083 146848 149952 150378 150426 151437 152256 155632 155916 156728 157014 157824 162448 163584 164736 165204 168909 170976 171776 172264 175086 176319 177216 180736 182754 183854 186384 190564 192896 193248 193444 193797 199936 200504 200568 201916 203008 203328 207888 209352 210432 213994 217008 217282 219648 220272 224928 225212 225567 227968 228384 233448 235092 236288 236863 243672 248512 252902 256464 257664 258396 265824 267424 271104 275693 275781 277184 279136 279576 279929 281088 285846 289344 290166 293696 299904 300756 300852 302874 304512 311264 311832 313456 314028 315648 320991 324896 325819 325923 327168 329472 330408 337818 341952 343552 344528 350172 352638 354432 365508 367708 372768 379353 381128 385792 386496 386888 387594 399872 401008 401136 403832 406016 406656 415776 418704 427988 428769 434016 434564 435249 440544 449856 450424 451134 454311 455936 456768 466896 470184 472576 473726 487344 497024 505804 506727 512928 515328 516792 531648 531971 534848 542208 551386 551562 554368 558272 559152 559858 571692 578688 580332 587392 593347 599808 601512 601704 605748 609024 619333 622528 623664 626912 628056 628693 631296 641982 649792 651638 651846 658944 660816 675636 683904 689056 700344 705276 708864 710589 731016 735416 745536 758706 762256 771584 772992 773776 775188 802016 802272 807664 813312 827079 827343 831552 837408 839787 855976 857538 868032 869128 870498 881088 899712 900848 902268 908622 911872 913536 933792 940368 947452 962973 974688 977457 977769 994048 1011608 1013454 1025856 1030656 1033584 1063296 1063942 1069696 1102772 1103124 1108736 1116544 1118304 1119716 1138059 1143384 1157376 1160664 1174784 1186694 1195051 1199616 1203024 1203408 1211496 1218048 1238666 1245056 1247328 1253824 1256112 1257386 1283964 1299584 1303276 1303692 1321632 1351272 1367808 1378112 1390961 1400688 1410552 1417728 1421178 1462032 1470832 1491072 1517412 1524512 1528843 1545984 1547552 1550376 1595913 1604032 1604544 1615328 1626624 1654158 1654686 1663104 1674816 1679574 1711952 1715076 1736064 1738256 1740996 1762176 1780041 1799424 1801696 1804536 1817244 1827072 1857999 1867584 1880736 1886079 1894904 1925946 1949376 1954914 1955538 1988096 2023216 2026908 2051712 2067168 2126592 2127884 2131767 2139392 2205544 2206248 2217472 2233088 2236608 2239432 2276118 2286768 2314752 2321328 2349568 2373388 2390102 2406048 2406816 2422992 2477332 2481237 2490112 2494656 2507648 2512224 2514772 2519361 2567928 2599168 2606552 2607384 2643264 2702544 2735616 2756224 2781922 2801376 2821104 2842356 2924064 2932371 2941664 2950021 2982144 3034824 3049024 3057686 3079219 3091968 3095104 3100752 3191826 3208064 3209088 3230656 3308316 3309372 3326208 3349632 3359148 3423904 3430152 3433631 3472128 3476512 3481992 3524352 3560082 3584009 3585153 3598848 3603392 3609072 3634488 3654144 3715998 3735168 3761472 3772158 3789808 3851892 3898752 3909828 3911076 4046432 4053816 4103424 4134336 4172883 4253184 4255768 4263534 4278784 4411088 4412496 4466176 4473216 4478864 4552236 4573536 4586529 4642656 4746776 4780204 4787739 4812096 4813632 4845984 4954664 4962474 4980224 4989312 5015296 5024448 5029544 5038722 5135856 5198336 5213104 5214768 5286528 5340123 5405088 5512448 5563844 5573997 5602752 5642208 5658237 5684712 5848128 5864742 5883328 5900042 5964288 6069648 6098048 6115372 6158438 6190208 6201504 6383652 6416128 6418176 6461312 6526817 6616632 6618744 6652416 6699264 6718296 6847808 6860304 6867262 6915623 6944256 6953024 6963984 7048704 7120164 7168018 7170306 7206784 7218144 7268976 7431996 7470336 7522944 7544316 7579616 7703784 7713511 7797504 7819656 7822152 8092864 8107632 8206848 8268672 8345766 8511536 8527068 8822176 8824992 8850063 8946432 8957728 9104472 9147072 9173058 9237657 9285312 9493552 9560408 9575478 9624192 9627264 9691968 9909328 9924948 9978624 10030592 10048896 10059088 10077444 10271712 10300893 10426208 10429536 10573056 10680246 10752027 10755459 10810176 11024896 11127688 11147994 11205504 11284416 11316474 11369424 11696256 11729484 11766656 11800084 12139296 12196096 12230744 12316876 12380416 12403008 12518649 12767304 12832256 12836352 12922624 13053634 13233264 13237488 13398528 13436592 13695616 13720608 13734524 13759587 13831246 13906048 13927968 14240328 14336036 14340612 14413568 14436288 14537952 14863992 14940672 15045888 15088632 15159232 15407568 15427022 15595008 15639312 15644304 16185728 16215264 16537344 16691532 16817273 17023072 17054136 17644352 17649984 17700126 17892864 17915456 18208944 18294144 18346116 18475314 18570624 18987104 19120816 19150956 19248384 19254528 19383936 19580451 19818656 19849896 19874959 19957248 20097792 20118176 20154888 20543424 20601786 20746869 20852416 20859072 21146112 21360492 21504054 21510918 21620352 22255376 22295988 22411008 22568832 22632948 22738848 23140533 23392512 23458968 23533312 23600168 24278592 24392192 24461488 24633752 24760832 24806016 25037298 25534608 25845248 26107268 26466528 26474976 26550189 26873184 27391232 27441216 27469048 27519174 27662492 27712971 27812096 27855936 28480656 28672072 28681224 28827136 28872576 29075904 29727984 30091776 30177264 30318464 30815136 30854044 30902679 31278624 31288608 32256081 32371456 32430528 32450231 33074688 33383064 33634546 34046144 34108272 35288704 35299968 35400252 35830912 36417888 36588288 36692232 36950628 37141248 37769941 37974208 38241632 38301912 38350273 38496768 38509056 38767872 39160902 39637312 39699792 39749918 40195584 40236352 40309776 41086848 41203572 41493738 41704832 41718144 42720984 43008108 43021836 43240704 44510752 44591976 44637203 44822016 45137664 45265896 45477696 46281066 46785024 46917936 47066624 47200336 48557184 48922976 49267504 49612032 50074596 50451819 51069216 52214536 52933056 52949952 53100378 53746368 54782464 54882432 54938096 55038348 55324984 55425942 55624192 55711872 56961312 57344144 57362448 57745152 58151808 58741353 59455968 59624877 60354528 60636928 61630272 61708088 61805358 62240607 62557248 62577216 64512162 64742912 64861056 64900462 66766128 67269092 68092288 68216544 69421599 70577408 70599936 70800504 71661824 72835776 73176576 73384464 73901256 74282496 75539882 75948416 76483264 76603824 76700546 77535744 78321804 79274624 79399584 79499836 80472704 80619552 82173696 82407144 82987476 83409664 83436288 84848621 85441968 86016216 86043672 86481408 89021504 89183952 89274406 90275328 90531792 90955392 92562132 93835872 94400672 97114368 97350693 97845952 98535008 99224064 100149192 100903638 102138432 104429072 105866112 105899904 106200756 107492736 109764864 109876192 110076696 110649968 110851884 111423744 113309823 113922624 114688288 114724896 115050819 115490304 116303616 117482706 118911936 119249754 120709056 121273856 123260544 123416176 123610716 124481214 125114496 125154432 129024324 129722112 129800924 133532256 133911609 134538184 136184576 136433088 138843198 141154816 141199872 141601008 143323648 145671552 146768928 147802512 151079764 151355457 151896832 152966528 153207648 153401092 156643608 158549248 158799168 158999672 160945408 161239104 164347392 164814288 165974952 166819328 166872576 169697242 170883936 172032432 172087344 178043008 178367904 178548812 178874631 181063584 181910784 185124264 187671744 188801344 194228736 194701386 195691904 197070016 200298384 201807276 204276864 208858144 209451491 211732224 211799808 212401512 214985472 218624549 219529728 219752384 220153392 221299936 221703768 222847488 226619646 227845248 229376576 229449792 230101638 232607232 234965412 237823872 238499508 241418112 246521088 246832352 247221432 248962428 250228992 250308864 254545863 258048648 259444224 259601848 267064512 267823218 269076368 272369152 272866176 277686396 283202016 291343104 292052079 293537856 295605024 302159528 302710914 303793664 305933056 306415296 306802184 313287216 317098496 317598336 317999344 321890816 322478208 329628576 331949904 339394484 339929469 341767872 344064864 344174688 345152457 356086016 356735808 357097624 357749262 362127168 363821568 370248528 375343488 377602688 389402772 391383808 394140032 400596768 401734827 403614552 408553728 417716288 418902982 421853003 423464448 423599616 424803024 429970944 437249098 439504768 440306784 442599872 443407536 453239292 455690496 458753152 458899584 460203276 469930824 475647744 476999016 482836224 491009233 493042176 493664704 494442864 497924856 500457984 500617728 509091726 516097296 519203696 534129024 535646436 538152736 545732352 555372792 566404032 582686208 584104158 587075712 591210048 604319056 605421828 611866112 612830592 613604368 626574432 628354473 635196672 635998688 644956416 655873647 659257152 663899808 678788968 679858938 683535744 688129728 688349376 690304914 712172032 713471616 714195248 715498524 724254336 740497056 750686976 755205376 763637589 778805544 782767616 788280064 801193536 803469654 807229104 817107456 835432576 837805964 843706006 849606048 874498196 879009536 880613568 885199744 886815072 906478584 911380992 917506304 917799168 920406552 939861648 951295488 953998032 965672448 982018466 987329408 988885728 995849712 1018183452 1032194592 1038407392 1068258048 1071292872 1076305472 1091464704 1110745584 1132808064 1168208316 1174151424 1182420096 1208638112 1210843656 1225661184 1227208736 1253148864 1256708946 1265559009 1270393344 1271997376 1289912832 1311747294 1318514304 1327799616 1357577936 1359717876 1367071488 1376259456 1376698752 1380609828 1426943232 1428390496 1430997048 1448508672 1473027699 1480994112 1501373952 1510410752 1527275178 1557611088 1576560128 1602387072 1606939308 1614458208 1670865152 1675611928 1687412012 1699212096 1748996392 1758019072 1761227136 1770399488 1773630144 1812957168 1835012608 1835598336 1840813104 1879723296 1885063419 1907996064 1964036932 1967620941 1974658816 1977771456 1991699424 2036366904 2064389184 2076814784 2136516096 2142585744 2152610944 2221491168 2265616128 2303966401 2336416632 2348302848 2364840192 2417276224 2421687312 2451322368 2454417472 2506297728 2513417892 2531118018 2543994752 2623494588 2637028608 2655599232 2715155872 2719435752 2722869383 2734142976 2752518912 2753397504 2761219656 2853886464 2856780992 2861994096 2897017344 2946055398 2961988224 3054550356 3115222176 3204774144 3213878616 3228916416 3341730304 3351223856 3374824024 3398424192 3497992784 3522454272 3540798976 3547260288 3625914336 3681626208 3759446592 3770126838 3796677027 3815992128 3928073864 3935241882 3949317632 3955542912 3983398848 4072733808 4128778368 4153629568 4285171488 4305221888 4419083097 4442982336 4531232256 4607932802 4672833264 4729680384 4834552448 4843374624 4908834944 5012595456 5026835784 5062236036 5087989504 5246989176 5274057216 5311198464 5430311744 5438871504 5445738766 5505037824 5506795008 5522439312 5713561984 5723988192 5892110796 5923976448 6109100712 6230444352 6409548288 6427757232 6457832832 6702447712 6749648048 6796848384 6911899203 6995985568 7044908544 7094520576 7251828672 7363252416 7518893184 7540253676 7593354054 7631984256 7856147728 7870483764 7911085824 7966797696 8145467616 8168608149 8257556736 8307259136 8570342976 8610443776 8838166194 8885964672 9215865604 9345666528 9669104896 9686749248 9817669888 10025190912 10053671568 10124472072 10175979008 10493978352 10622396928 10860623488 10877743008 10891477532 11044878624 11427123968 11447976384 11784221592 11847952896 12218201424 12460888704 12855514464 12915665664 13404895424 13499296096 13593696768 13823798406 13991971136 14189041152 14503657344 14726504832 15037786368 15080507352 15186708108 15263968512 15712295456 15740967528 15822171648 15933595392 16290935232 16337216298 16515113472 16614518272 17140685952 17676332388 17771929344 18431731208 18691333056 19338209792 19373498496 19635339776 20107343136 20248944144 20735697609 20987956704 21721246976 21755486016 21782955064 22089757248 22854247936 22895952768 23568443184 24436402848 24505824447 24921777408 25711028928 25831331328 26809790848 26998592192 27647596812 27983942272 29007314688 29453009664 29951563213 30075572736 30161014704 30373416216 30527937024 31424590912 31481935056 31867190784 32581870464 32674432596 34281371904 35352664776 35543858688 36863462416 37382666112 38746996992 40214686272 40497888288 41471395218 41975913408 43442493952 43510972032 43565910128 44179514496 45791905536 47136886368 48872805696 49011648894 49843554816 51422057856 53619581696 53997184384 55295193624 55967884544 58014629376 58906019328 59903126426 60322029408 60746832432 62849181824 62963870112 65163740928 65348865192 68562743808 70705329552 73726924832 74765332224 77493993984 80429372544 80995776576 82942790436 83951826816 87021944064 87131820256 88359028992 89854689639 91583811072 94273772736 97745611392 98023297788 102844115712 107239163392 107994368768 110590387248 111935769088 119806252852 120644058816 121493664864 125698363648 125927740224 130327481856 130697730384 141410659104 147453849664 149530664448 160858745088 161991553152 165885580872 167903653632 174043888128 174263640512 176718057984 179709379278 188547545472 195491222784 196046595576 205688231424 215988737536 221180774496 239612505704 241288117632 242987329728 251396727296 251855480448 261395460768 269564068917 282821318208 294907699328 321717490176 323983106304 331771161744 335807307264 348527281024 359418758556 377095090944 390982445568 392093191152 442361548992 479225011408 482576235264 485974659456 503710960896 522790921536 539128137834 565642636416 589815398656 647966212608 663542323488 697054562048 718837517112 754190181888 784186382304 884723097984 958450022816 965152470528 971949318912 1007421921792 1045581843072 1078256275668 1131285272832 1179630797312 1327084646976 1394109124096 1437675034224 1568372764608 1769446195968 1916900045632 1943898637824 2091163686144 2156512551336 2262570545664 2654169293952 2875350068448 3136745529216 3538892391936 3833800091264 4182327372288 4313025102672 5308338587904 5750700136896 6273491058432 7667600182528 8626050205344 10616677175808 11501400273792 12546982116864 15335200365056 17252100410688 23002800547584 34504200821376 46005601095168 69008401642752 138016803285504
- Sum of all divisors σ(n): 487230876228096
- Sum of proper divisors (its aliquot sum) s(n): 349214072942592
- 138016803285504 is an abundant number, because the sum of its proper divisors (349214072942592) is greater than itself. Its abundance is 211197269657088
Bases of 138016803285504
- Binary: 111110110000110100010101000100001101010000000002
- Hexadecimal: 0x7D868A886A00
- Base-36: 1CX81L6RK0
Squares and roots of 138016803285504
- 138016803285504 squared (1380168032855042) is 19048637989149507728936534016
- 138016803285504 cubed (1380168032855043) is 2629032122205226086225752069431367055704064
-
The
square root of 138016803285504 is 11748055.2980271591 -
The
cube root of 138016803285504 is 51678.5898657049
Scales and comparisons
How big is 138016803285504?- 138,016,803,285,504 seconds is equal to 4,388,507 years, 22 weeks, 2 days, 16 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,016,803,285,504 would take you about ten million, nine hundred seventy-one thousand, two hundred sixty-eight 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 138016803285504 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138016803285504
- 138016803285504 backwards is 405582308610831
- The number of decimal digits it has is: 15
- The sum of 138016803285504's digits is 54
- 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 138016803285504 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 138016803285504 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138016803285504/
Chicago style:
Numbermatics. 2024. "Number 138016803285504 - Facts about the integer". https://numbermatics.com/n/138016803285504/
The information we have on file for 138016803285504 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 138016803285504, math, Factors of 138016803285504, curriculum, school, college, exams, university, Prime factorization of 138016803285504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, sixteen billion, eight hundred three million, two hundred eighty-five thousand, five hundred four.