138481488617472
138,481,488,617,472 is an even composite number composed of seven prime numbers multiplied together.
138481488617472 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 138481488617472:
213 × 32 × 72 × 11 × 13 × 31 × 8647
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 13 × 31 × 8647)See below for interesting mathematical facts about the number 138481488617472 from the Numbermatics database.
Names of 138481488617472
- Cardinal: 138481488617472 can be written as One hundred thirty-eight trillion, four hundred eighty-one billion, four hundred eighty-eight million, six hundred seventeen thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38481488617472 × 1014
Factors of 138481488617472
Divisors of 138481488617472
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 31 32 33 36 39 42 44 48 49 52 56 62 63 64 66 72 77 78 84 88 91 93 96 98 99 104 112 117 124 126 128 132 143 144 147 154 156 168 176 182 186 192 196 198 208 217 224 231 234 248 252 256 264 273 279 286 288 294 308 312 336 341 352 364 372 384 392 396 403 416 429 434 441 448 462 468 496 504 512 528 539 546 558 572 576 588 616 624 637 651 672 682 693 704 728 744 768 784 792 806 819 832 858 868 882 896 924 936 992 1001 1008 1023 1024 1056 1078 1092 1116 1144 1152 1176 1209 1232 1248 1274 1287 1302 1344 1364 1386 1408 1456 1488 1519 1536 1568 1584 1612 1617 1638 1664 1716 1736 1764 1792 1848 1872 1911 1953 1984 2002 2016 2046 2048 2112 2156 2184 2232 2288 2304 2352 2387 2418 2464 2496 2548 2574 2604 2688 2728 2772 2816 2821 2912 2976 3003 3038 3069 3072 3136 3168 3224 3234 3276 3328 3432 3472 3528 3584 3627 3696 3744 3822 3906 3968 4004 4032 4092 4096 4224 4312 4368 4433 4464 4557 4576 4608 4704 4774 4836 4851 4928 4992 5096 5148 5208 5376 5456 5544 5632 5642 5733 5824 5952 6006 6076 6138 6144 6272 6336 6448 6468 6552 6656 6864 6944 7007 7056 7161 7168 7254 7392 7488 7644 7812 7936 8008 8064 8184 8192 8448 8463 8624 8647 8736 8866 8928 9009 9114 9152 9216 9408 9548 9672 9702 9856 9984 10192 10296 10416 10752 10912 11088 11264 11284 11466 11648 11904 12012 12152 12276 12288 12544 12672 12896 12936 13104 13299 13312 13671 13728 13888 14014 14112 14322 14336 14508 14784 14976 15288 15624 15872 16016 16128 16368 16709 16896 16926 17248 17294 17472 17732 17856 18018 18228 18304 18432 18816 19096 19344 19404 19712 19747 19968 20384 20592 20832 21021 21483 21504 21824 22176 22528 22568 22932 23296 23808 24024 24304 24552 24576 25088 25344 25389 25792 25872 25941 26208 26598 26624 27342 27456 27776 28028 28224 28644 28672 29016 29568 29952 30576 31031 31248 31744 32032 32256 32736 33418 33792 33852 34496 34588 34944 35464 35712 36036 36456 36608 36864 37632 38192 38688 38808 39424 39494 39897 39936 40768 41184 41664 42042 42966 43008 43648 44352 45056 45136 45864 46592 47616 48048 48608 49104 50127 50176 50688 50778 51584 51744 51882 52416 53196 53248 54684 54912 55552 56056 56448 57288 57344 58032 59136 59241 59904 60529 61152 62062 62496 63063 63488 64064 64512 65472 66836 67584 67704 68992 69176 69888 70928 71424 72072 72912 73216 73728 75264 76384 77376 77616 77823 78848 78988 79794 79872 81536 82368 83328 84084 85932 86016 87296 88704 90112 90272 91728 93093 93184 95117 95232 96096 97216 98208 100254 100352 101376 101556 103168 103488 103764 104832 106392 106496 109368 109824 111104 112112 112411 112896 114576 116064 118272 118482 119808 121058 122304 124124 124992 126126 126976 128128 129024 130944 133672 135168 135408 137984 138352 139776 141856 142848 144144 145824 146432 150381 150528 152768 154752 155232 155646 157696 157976 159588 159744 163072 164736 166656 168168 171864 172032 174592 177408 177723 180544 181587 183456 186186 186368 190234 190464 192192 194432 196416 200508 200704 202752 203112 206336 206976 207528 209664 212784 217217 218736 219648 222208 224224 224822 225792 229152 232128 236544 236964 239616 242116 244608 248248 249984 252252 253952 256256 258048 261888 267344 268057 270336 270816 275968 276704 279279 279552 283712 285351 285696 288288 291648 292864 300762 301056 305536 309504 310464 311292 315392 315952 319176 319488 326144 329472 333312 336336 337233 343728 349184 354816 355446 361088 363174 366912 372372 372736 380468 380928 384384 388864 392832 401016 401408 405504 406224 412672 413952 415056 419328 423703 425568 434434 437472 439296 444416 448448 449644 451584 458304 464256 473088 473928 479232 484232 489216 496496 499968 504504 512512 516096 523776 534688 536114 541632 544761 551936 553408 558558 559104 567424 570702 571392 576576 583296 585728 601524 602112 611072 619008 620928 622584 630784 631904 638352 651651 652288 658944 665819 666624 672672 674466 687456 698368 709632 710892 722176 726348 733824 744744 745472 760936 761856 768768 777728 785664 786877 802032 804171 811008 812448 825344 827904 830112 838656 847406 851136 856053 868868 874944 878592 888832 896896 899288 903168 916608 928512 946176 947856 958464 968464 978432 992992 999936 1009008 1011699 1025024 1047552 1069376 1072228 1083264 1089522 1103872 1106816 1117116 1118208 1134848 1141404 1142784 1153152 1166592 1171456 1203048 1204224 1222144 1236521 1238016 1241856 1245168 1263808 1271109 1276704 1303302 1304576 1317888 1331638 1333248 1345344 1348932 1374912 1396736 1419264 1421784 1444352 1452696 1467648 1489488 1521872 1537536 1555456 1571328 1573754 1604064 1608342 1624896 1650688 1655808 1660224 1677312 1694812 1702272 1712106 1737736 1749888 1757184 1777664 1793792 1798576 1806336 1833216 1857024 1876399 1892352 1895712 1936928 1954953 1956864 1985984 1997457 1999872 2018016 2023398 2050048 2095104 2138752 2144456 2166528 2179044 2207744 2213632 2234232 2236416 2269696 2282808 2285568 2306304 2333184 2360631 2406096 2412513 2444288 2473042 2476032 2483712 2490336 2527616 2542218 2553408 2606604 2609152 2635776 2663276 2666496 2690688 2697864 2749824 2793472 2838528 2843568 2888704 2905392 2935296 2948627 2978976 3043744 3075072 3110912 3142656 3147508 3208128 3216684 3249792 3301376 3311616 3320448 3354624 3389624 3404544 3424212 3475472 3484741 3499776 3514368 3587584 3597152 3612672 3666432 3709563 3714048 3752798 3791424 3813327 3873856 3909906 3913728 3971968 3994914 3999744 4036032 4046796 4100096 4190208 4277504 4288912 4333056 4358088 4415488 4427264 4468464 4539392 4565616 4612608 4660733 4666368 4721262 4812192 4825026 4888576 4946084 4952064 4967424 4980672 5055232 5084436 5106816 5213208 5218304 5271552 5326552 5332992 5381376 5395728 5499648 5508139 5629197 5677056 5687136 5777408 5810784 5870592 5897254 5957952 5992371 6087488 6150144 6221824 6285312 6295016 6416256 6433368 6499584 6623232 6640896 6709248 6779248 6809088 6848424 6950944 6969482 6999552 7081893 7175168 7194304 7332864 7419126 7428096 7505596 7582848 7626654 7747712 7819812 7827456 7943936 7989828 7999488 8072064 8093592 8200192 8380416 8555008 8577824 8655647 8666112 8716176 8845881 8854528 8936928 9078784 9131232 9225216 9321466 9332736 9442524 9624384 9650052 9777152 9892168 9904128 9934848 9961344 10110464 10168872 10213632 10426416 10454223 10543104 10653104 10762752 10791456 10999296 11016278 11128689 11258394 11374272 11554816 11621568 11741184 11794508 11915904 11984742 12174976 12300288 12443648 12570624 12590032 12832512 12866736 12999168 13134793 13246464 13281792 13558496 13618176 13696848 13901888 13938964 13982199 13999104 14163786 14350336 14388608 14665728 14838252 14856192 15011192 15165696 15253308 15495424 15639624 15654912 15887872 15979656 15998976 16144128 16187184 16524417 16887591 17110016 17155648 17311294 17332224 17432352 17691762 17709056 17873856 18157568 18262464 18450432 18642932 18665472 18885048 19248768 19300104 19554304 19784336 19869696 19922688 20220928 20337744 20427264 20640389 20852832 20908446 21306208 21525504 21582912 21998592 22032556 22257378 22516788 22748544 23109632 23243136 23482368 23589016 23831808 23969484 24349952 24393187 24600576 25141248 25180064 25665024 25733472 25966941 25998336 26269586 26537643 26563584 27116992 27236352 27393696 27803776 27877928 27964398 27998208 28327572 28700672 28777216 29331456 29676504 29712384 30022384 30331392 30506616 30990848 31279248 31362669 31775744 31959312 32288256 32374368 33048834 33775182 34220032 34311296 34622588 34664448 34864704 35383524 35418112 35747712 36315136 36524928 36900864 37285864 37330944 37770096 38332151 38497536 38600208 39404379 39568672 39739392 39845376 40441856 40675488 40854528 41280778 41705664 41816892 41946597 42612416 43051008 43165824 43997184 44065112 44514756 45033576 45497088 46486272 46964736 47178032 47663616 47938968 48699904 48786374 49573251 50360128 51330048 51466944 51933882 51996672 52539172 53075286 53127168 54233984 54472704 54787392 55607552 55755856 55928796 55996416 56655144 57401344 57554432 58662912 59353008 60044768 60589529 60662784 61013232 61921167 61981696 62558496 62725338 63551488 63918624 64576512 64748736 66097668 67550364 68440064 68622592 69245176 69328896 69729408 70767048 70836224 71495424 73049856 73179561 73801728 74571728 75540192 76664302 76995072 77200416 77900823 78808758 79137344 79690752 80883712 81350976 81709056 82561556 83411328 83633784 83893194 85224832 86102016 86331648 87994368 88130224 89029512 90067152 90994176 92972544 94356064 95327232 95877936 97399808 97572748 99146502 100720256 102660096 102933888 103867764 103993344 105078344 106150572 106254336 108467968 108945408 109574784 111215104 111511712 111857592 111992832 113310288 114996453 115108864 118213137 118706016 120089536 121179058 121325568 122026464 123842334 123963392 125116992 125450676 127102976 127837248 129153024 129497472 132195336 135100728 136880128 137245184 138490352 139458816 141534096 142990848 144482723 146099712 146359122 149143456 151080384 153328604 153990144 154400832 155801646 157617516 158274688 159381504 161767424 162701952 163418112 165123112 166822656 167267568 167786388 170449664 170752309 172204032 172663296 175988736 176260448 178059024 180134304 181768587 181988352 185763501 185945088 188712128 190654464 191755872 194799616 195145496 198293004 201440512 205320192 205867776 207735528 207986688 210156688 212301144 212508672 216935936 219149568 219538683 222430208 223023424 223715184 226620576 229992906 230217728 236426274 237412032 240179072 242358116 242651136 244052928 247684668 247926784 250233984 250901352 254205952 255674496 258306048 258994944 264390672 268325057 270201456 274490368 276980704 278917632 283068192 285981696 288965446 292199424 292718244 298286912 302160768 306657208 307980288 308801664 311603292 315235032 316549376 318763008 325403904 326836224 330246224 333645312 334535136 335572776 340899328 341504618 344989359 345326592 352520896 356118048 360268608 363537174 363976704 371527002 371890176 377424256 381308928 383511744 389599232 390290992 396586008 402881024 410640384 411735552 415471056 420313376 424602288 433448169 433871872 438299136 439077366 444860416 446046848 447430368 453241152 459985812 460435456 472852548 474824064 480358144 484716232 485302272 488105856 495369336 495853568 500467968 501802704 511348992 512256927 516612096 517989888 528781344 536650114 540402912 545305761 548980736 553961408 557835264 566136384 571963392 577930892 584398848 585436488 596573824 604321536 613314416 615960576 617603328 623206584 630470064 633098752 637526016 650807808 660492448 667290624 669070272 671145552 681798656 683009236 689978718 690653184 705041792 712236096 720537216 727074348 727953408 743054004 743780352 754848512 762617856 767023488 779198464 780581984 793172016 804975171 805762048 823471104 830942112 840626752 849204576 866896338 867743744 876598272 878154732 889720832 892093696 894860736 906482304 919971624 920870912 945705096 949648128 960716288 969432464 976211712 990738672 1000935936 1003605408 1022697984 1024513854 1035979776 1057562688 1073300228 1080805824 1090611522 1097961472 1107922816 1115670528 1132272768 1143926784 1155861784 1168797696 1170872976 1193147648 1208643072 1226628832 1231921152 1235206656 1246413168 1260940128 1266197504 1300344507 1301615616 1320984896 1334581248 1338140544 1342291104 1363597312 1366018472 1379957436 1381306368 1410083584 1424472192 1441074432 1454148696 1455906816 1486108008 1487560704 1509697024 1534046976 1536770781 1561163968 1586344032 1609950342 1611524096 1646942208 1661884224 1681253504 1698409152 1733792676 1735487488 1753196544 1756309464 1779441664 1784187392 1789721472 1812964608 1839943248 1878275399 1891410192 1899296256 1921432576 1938864928 1952423424 1981477344 2001871872 2007210816 2045395968 2049027708 2071959552 2115125376 2146600456 2161611648 2181223044 2195922944 2215845632 2231341056 2264545536 2287853568 2311723568 2337595392 2341745952 2386295296 2414925513 2417286144 2453257664 2470413312 2492826336 2521880256 2532395008 2600689014 2603231232 2641969792 2669162496 2676281088 2684582208 2727194624 2732036944 2759914872 2762612736 2820167168 2848944384 2882148864 2908297392 2972216016 3019394048 3068093952 3073541562 3122327936 3172688064 3219900684 3223048192 3293884416 3323768448 3362507008 3396818304 3467585352 3470974976 3506393088 3512618928 3568374784 3579442944 3625929216 3679886496 3756550798 3782820384 3798592512 3842865152 3877729856 3904846848 3962954688 4003743744 4014421632 4090791936 4098055416 4143919104 4230250752 4293200912 4323223296 4362446088 4431691264 4462682112 4529091072 4623447136 4683491904 4772590592 4829851026 4834572288 4906515328 4940826624 4985652672 5043760512 5064790016 5201378028 5206462464 5283939584 5338324992 5352562176 5369164416 5454389248 5464073888 5519829744 5634826197 5640334336 5697888768 5764297728 5816594784 5944432032 6038788096 6136187904 6147083124 6244655872 6345376128 6439801368 6446096384 6587768832 6647536896 6725014016 6793636608 6935170704 7012786176 7025237856 7136749568 7158885888 7251858432 7359772992 7513101596 7565640768 7597185024 7685730304 7755459712 7809693696 7925909376 8007487488 8028843264 8181583872 8196110832 8287838208 8460501504 8586401824 8646446592 8724892176 8863382528 9058182144 9246894272 9366983808 9545181184 9659702052 9669144576 9813030656 9881653248 9971305344 10087521024 10129580032 10402756056 10412924928 10567879168 10705124352 10738328832 10928147776 11039659488 11269652394 11280668672 11395777536 11528595456 11633189568 11888864064 12077576192 12272375808 12294166248 12489311744 12690752256 12879602736 13295073792 13450028032 13587273216 13870341408 14050475712 14273499136 14317771776 14503716864 14719545984 15026203192 15131281536 15194370048 15371460608 15510919424 15619387392 15851818752 16014974976 16057686528 16363167744 16392221664 16904478591 16921003008 17172803648 17292893184 17449784352 17726765056 18116364288 18493788544 18733967616 19090362368 19319404104 19338289152 19626061312 19763306496 19942610688 20175042048 20805512112 21135758336 21410248704 21476657664 21856295552 22079318976 22539304788 22561337344 22791555072 23057190912 23266379136 23777728128 24155152384 24544751616 24588332496 24978623488 25381504512 25759205472 26590147584 26900056064 27174546432 27740682816 28100951424 28546998272 28635543552 29007433728 29439091968 30052406384 30262563072 30388740096 31021838848 31238774784 31703637504 32115373056 32784443328 33808957182 33842006016 34345607296 34585786368 34899568704 35453530112 36232728576 36987577088 37467935232 38180724736 38638808208 39252122624 39885221376 40350084096 41611024224 42271516672 42820497408 42953315328 43712591104 44158637952 45078609576 45122674688 45583110144 46114381824 46532758272 47555456256 49089503232 49176664992 49957246976 50763009024 51518410944 53180295168 53800112128 54349092864 55481365632 56201902848 57271087104 58014867456 58878183936 60104812768 60525126144 62043677696 63407275008 64230746112 65568886656 67617914364 67684012032 68691214592 69171572736 69799137408 70907060224 72465457152 73975154176 74935870464 77277616416 78504245248 79770442752 80700168192 83222048448 84543033344 85640994816 85906630656 87425182208 88317275904 90157219152 91166220288 93065516544 95110912512 98353329984 99914493952 101526018048 103036821888 106360590336 107600224256 108698185728 110962731264 112403805696 114542174208 117756367872 120209625536 121050252288 124087355392 126814550016 128461492224 131137773312 135235828728 135368024064 137382429184 138343145472 139598274816 147950308352 149871740928 154555232832 157008490496 159540885504 161400336384 166444096896 169086066688 171813261312 174850364416 176634551808 180314438304 186131033088 190221825024 196706659968 199828987904 203052036096 206073643776 212721180672 217396371456 221925462528 224807611392 235512735744 240419251072 242100504576 248174710784 253629100032 256922984448 262275546624 270471657456 274764858368 279196549632 295900616704 299743481856 309110465664 314016980992 319081771008 322800672768 332888193792 343626522624 349700728832 353269103616 360628876608 372262066176 380443650048 393413319936 406104072192 412147287552 443850925056 449615222784 471025471488 480838502144 484201009152 496349421568 507258200064 524551093248 540943314912 549529716736 558393099264 591801233408 599486963712 618220931328 638163542016 665776387584 699401457664 706538207232 721257753216 744524132352 760887300096 786826639872 824294575104 887701850112 899230445568 942050942976 961677004288 968402018304 1049102186496 1081886629824 1099059433472 1116786198528 1183602466816 1236441862656 1331552775168 1398802915328 1413076414464 1442515506432 1489048264704 1521774600192 1573653279744 1648589150208 1775403700224 1798460891136 1923354008576 2098204372992 2163773259648 2198118866944 2233572397056 2472883725312 2663105550336 2826152828928 2885031012864 3147306559488 3297178300416 3550807400448 3846708017152 4196408745984 4327546519296 4467144794112 4945767450624 5326211100672 5770062025728 6294613118976 6594356600832 7693416034304 8655093038592 9891534901248 10652422201344 11540124051456 12589226237952 15386832068608 17310186077184 19783069802496 23080248102912 34620372154368 46160496205824 69240744308736 138481488617472
- Sum of all divisors σ(n): 564399447865344
- Sum of proper divisors (its aliquot sum) s(n): 425917959247872
- 138481488617472 is an abundant number, because the sum of its proper divisors (425917959247872) is greater than itself. Its abundance is 287436470630400
Bases of 138481488617472
- Binary: 111110111110010101110111110111111100000000000002
- Hexadecimal: 0x7DF2BBEFE000
- Base-36: 1D35IMU4G0
Squares and roots of 138481488617472
- 138481488617472 squared (1384814886174722) is 19177122689711027097943670784
- 138481488617472 cubed (1384814886174723) is 2655676497471081623992808594571920878338048
-
The
square root of 138481488617472 is 11767815.7963775079 -
The
cube root of 138481488617472 is 51736.5233476801
Scales and comparisons
How big is 138481488617472?- 138,481,488,617,472 seconds is equal to 4,403,282 years, 51 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,481,488,617,472 would take you about eleven million, eight thousand, two hundred seven 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 138481488617472 cubic inches would be around 4311.4 feet tall.
Recreational maths with 138481488617472
- 138481488617472 backwards is 274716884184831
- 138481488617472 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138481488617472's digits is 72
- 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 138481488617472 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 138481488617472 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138481488617472/
Chicago style:
Numbermatics. 2024. "Number 138481488617472 - Facts about the integer". https://numbermatics.com/n/138481488617472/
The information we have on file for 138481488617472 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 138481488617472, math, Factors of 138481488617472, curriculum, school, college, exams, university, Prime factorization of 138481488617472, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred eighty-one billion, four hundred eighty-eight million, six hundred seventeen thousand, four hundred seventy-two.