138445958589046784
138,445,958,589,046,784 is an even composite number composed of eight prime numbers multiplied together.
138445958589046784 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 138445958589046784:
213 × 13 × 17 × 29 × 37 × 41 × 89 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 17 × 29 × 37 × 41 × 89 × 19531)See below for interesting mathematical facts about the number 138445958589046784 from the Numbermatics database.
Names of 138445958589046784
- Cardinal: 138445958589046784 can be written as One hundred thirty-eight quadrillion, four hundred forty-five trillion, nine hundred fifty-eight billion, five hundred eighty-nine million, forty-six thousand, seven hundred eighty-four.
Scientific notation
- Scientific notation: 1.38445958589046784 × 1017
Factors of 138445958589046784
Divisors of 138445958589046784
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 8 13 16 17 26 29 32 34 37 41 52 58 64 68 74 82 89 104 116 128 136 148 164 178 208 221 232 256 272 296 328 356 377 416 442 464 481 493 512 533 544 592 629 656 697 712 754 832 884 928 962 986 1024 1066 1073 1088 1157 1184 1189 1258 1312 1394 1424 1508 1513 1517 1664 1768 1856 1924 1972 2048 2132 2146 2176 2314 2368 2378 2516 2581 2624 2788 2848 3016 3026 3034 3293 3328 3536 3649 3712 3848 3944 4096 4264 4292 4352 4628 4736 4756 5032 5162 5248 5576 5696 6032 6052 6068 6409 6586 6656 7072 7298 7424 7696 7888 8177 8192 8528 8584 8704 9061 9256 9472 9512 10064 10324 10496 11152 11392 12064 12104 12136 12818 13172 13312 13949 14144 14596 14848 15392 15457 15776 16354 17056 17168 17408 18122 18241 18512 18944 19024 19531 19669 19721 20128 20213 20648 20992 22304 22784 24128 24208 24272 25636 25789 26344 26624 27898 28288 29192 29696 30784 30914 31552 32708 33553 34112 34336 34816 36244 36482 37024 37888 38048 39062 39338 39442 40256 40426 41296 41984 42809 43877 43993 44608 45568 47437 48256 48416 48544 51272 51578 52688 53248 55796 55981 56576 58384 59392 61568 61828 62033 63104 65416 67106 68224 68672 69632 72488 72964 74048 75776 76096 78124 78676 78884 80512 80852 82592 83968 85618 87754 87986 89216 91136 94874 95497 96512 96832 97088 102544 103156 105376 105821 106496 111592 111962 113152 116768 118784 123136 123656 124066 126208 130832 134212 135013 136448 137344 139264 144976 145928 148096 151552 152192 156248 157352 157768 161024 161704 165184 167936 171236 175508 175972 178432 182272 189748 190994 193024 193664 194176 205088 206312 210752 211642 223184 223924 226304 233536 237133 237568 246272 247312 248132 252416 253903 261664 262769 268424 270026 272896 274688 289952 291856 296192 303104 304384 312496 314704 315536 322048 323408 330368 332027 335257 335872 342472 351016 351944 356864 364544 379496 381988 386048 387328 388352 410176 412624 421504 423284 446368 447848 452608 467072 474266 492544 494624 496264 504832 507806 523328 525538 536848 540052 545792 549376 566399 570401 571909 579904 583712 592384 608768 624992 629408 631072 644096 646816 660736 664054 670514 684944 702032 703888 713728 722647 727753 729088 747881 758992 763976 772096 774656 776704 800771 806429 820352 825248 843008 846568 892736 895696 905216 934144 948532 985088 989248 992528 1009664 1015612 1046656 1051076 1073696 1080104 1091584 1098752 1132798 1140802 1143818 1159808 1167424 1184768 1217536 1241461 1249984 1258816 1262144 1288192 1293632 1321472 1328108 1341028 1369888 1375673 1404064 1407776 1427456 1445294 1455506 1495762 1517984 1527952 1544192 1549312 1553408 1601542 1612858 1623449 1640704 1650496 1686016 1693136 1738259 1755169 1785472 1791392 1798957 1810432 1868288 1897064 1970176 1978496 1985056 2019328 2031224 2093312 2102152 2147392 2160208 2183168 2197504 2265596 2281604 2287636 2295221 2319616 2334848 2369536 2435072 2482922 2499968 2517632 2524288 2576384 2587264 2642944 2656216 2682056 2739776 2751346 2808128 2815552 2854912 2890588 2911012 2991524 3035968 3055904 3088384 3098624 3106816 3203084 3225716 3246898 3281408 3300992 3372032 3386272 3476518 3510338 3570944 3582784 3597914 3736576 3794128 3915377 3940352 3956992 3970112 4038656 4062448 4186624 4204304 4294784 4316351 4320416 4366336 4395008 4531192 4563208 4575272 4590442 4639232 4669696 4739072 4870144 4965844 4999936 5035264 5048576 5152768 5174528 5285888 5312432 5364112 5479552 5502692 5616256 5631104 5709824 5781176 5822024 5983048 6071936 6111808 6197248 6213632 6406168 6451432 6493796 6562816 6601984 6744064 6772544 6953036 7020676 7141888 7165568 7195828 7363187 7473152 7588256 7830754 7913984 7940224 8124896 8373248 8408608 8589568 8632702 8640832 8790016 9062384 9126416 9150544 9180884 9278464 9339392 9394411 9478144 9628783 9722453 9740288 9931688 9999872 10070528 10097152 10349056 10410023 10571776 10624864 10728224 10959104 11005384 11232512 11262208 11562352 11644048 11966096 12143872 12223616 12284999 12394496 12427264 12812336 12902864 12987592 13125632 13203968 13488128 13545088 13613107 13906072 14041352 14283776 14331136 14391656 14726374 14946304 15176512 15661508 15827968 15880448 16249792 16746496 16817216 17179136 17265404 17281664 18124768 18252832 18301088 18361768 18556928 18678784 18788822 19257566 19444906 19863376 19999744 20141056 20194304 20698112 20820046 20956763 21104837 21143552 21249728 21456448 21918208 22010768 22465024 22524416 22597367 23124704 23222359 23288096 23386441 23932192 24287744 24447232 24569998 25624672 25805728 25975184 26251264 26407936 26976256 27090176 27226214 27812144 28082704 28567552 28662272 28783312 29452748 29550403 29628527 29837873 29892608 30353024 31323016 31655936 31760896 32499584 33492992 33634432 34358272 34530808 34563328 36249536 36505664 36602176 36723536 37113856 37357568 37577644 38515132 38889812 39726752 39999488 40282112 40388608 41396224 41640092 41913526 42209674 42499456 42912896 43836416 44021536 44930048 45048832 45194734 46249408 46444718 46576192 46772882 47864384 48575488 48894464 49139996 50409511 50899901 51249344 51611456 51950368 52502528 52815872 54180352 54452428 55624288 56165408 57135104 57324544 57566624 58905496 59100806 59257054 59675746 60706048 62646032 63311872 63521792 64315583 64999168 66561409 66985984 67268864 68716544 69061616 69126656 71268619 72499072 73011328 73204352 73447072 74227712 74715136 75155288 77030264 77779624 79453504 79998976 80564224 80777216 82792448 83280184 83827052 84419348 84998912 85825792 87672832 88043072 89860096 90097664 90389468 92498816 92889436 93152384 93545764 95728768 97150976 97788928 98279992 100819022 101799802 102498688 103222912 103900736 105631744 108360704 108904856 111248576 112330816 114270208 114649088 115133248 117810992 118201612 118514108 119351492 121412096 125174179 125292064 126623744 127043584 128631166 129998336 133122818 134537728 137433088 138123232 138253312 142537238 144998144 146022656 146408704 146894144 149430272 150310576 154060528 155559248 158907008 159704987 159997952 161128448 161554432 165584896 166560368 167654104 168838696 169997824 171651584 175345664 176086144 176970391 179720192 180195328 180778936 184997632 185778872 186304768 187091528 191457536 194301952 195577856 196559984 201638044 203599604 204997376 206445824 207801472 211263488 216721408 217809712 222497152 224661632 229298176 230266496 235621984 236403224 237028216 238702984 242824192 250348358 250584128 254087168 257262332 259996672 266245636 269075456 272437919 274866176 276246464 276506624 285074476 289996288 292045312 292817408 293788288 300621152 301890667 308121056 311118496 317814016 319409974 333120736 335308208 337677392 339995648 343303168 350691328 352172288 353940782 356264971 359440384 360390656 361557872 369995264 371557744 372609536 374183056 382915072 384155239 385170851 388603904 391155712 393119968 394780103 403276088 407199208 409994752 412891648 415602944 433442816 435619424 444994304 449323264 458596352 460532992 471243968 472806448 474056432 477405968 485648384 500696716 501168256 503684959 508174336 514524664 519993344 532491272 538150912 544875838 552492928 553013248 570148952 579992576 584090624 585634816 587576576 601242304 603781334 616242112 622236992 635628032 638819948 655323643 666241472 670616416 675354784 679991296 686606336 704344576 707881564 712529942 723115744 739990528 743115488 745219072 748366112 765830144 768310478 770341702 782311424 786239936 789560206 806552176 814398416 819989504 825783296 831205888 836102579 856961687 859227283 865298317 866885632 871238848 889988608 898646528 921065984 926492047 942487936 945612896 948112864 954811936 971296768 1001393432 1002336512 1007369918 1029049328 1039986688 1064982544 1076301824 1089751676 1093364911 1104985856 1106026496 1140297904 1159985152 1168181248 1171269632 1175153152 1202484608 1207562668 1211566523 1232484224 1244473984 1271256064 1277639896 1310647286 1332482944 1341232832 1350709568 1359982592 1373212672 1408689152 1415763128 1425059884 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3819247744 4005573728 4009346048 4029479672 4116197312 4133579902 4259930176 4359006704 4373459644 4419943424 4561191616 4631444623 4639940608 4672724992 4685078528 4700612608 4809938432 4830250672 4846266092 4929936896 4977895936 5085024256 5110559584 5132141339 5242589144 5273877806 5329931776 5364931328 5402838272 5634756608 5663052512 5700239536 5784925952 5919924224 5944923904 5961752576 5986928896 6126641152 6146483824 6162733616 6289919488 6316481648 6452417408 6515187328 6547904467 6559916032 6606266368 6649647104 6688820632 6855693496 6873818264 6922386536 6969910784 7119908864 7189172224 7368527872 7411936376 7460607628 7539903488 7564903168 7584902912 7638495488 8011147456 8018692096 8058959344 8232394624 8267159804 8519860352 8718013408 8746919288 8839886848 9122383232 9262889246 9401225216 9619876864 9660501344 9692532184 9859873792 9955791872 10170048512 10221119168 10264282678 10485178288 10547755612 10659863552 10729862656 10805676544 11140501931 11169954679 11269513216 11326105024 11400479072 11569851904 11889847808 11973857792 12292967648 12325467232 12579838976 12632963296 12904834816 13030374656 13095808934 13299294208 13377641264 13711386992 13747636528 13844773072 13939821568 14213743843 14239817728 14378344448 14606863811 14737055744 14823872752 14921215256 15079806976 15129806336 15169805824 15276990976 15750364799 16022294912 16037384192 16117918688 16464789248 16534319608 17039720704 17436026816 17493838576 17679773696 18244766464 18525778492 18802450432 19239753728 19321002688 19385064368 19719747584 19911583744 20442238336 20528565356 20970356576 21095511224 21319727104 21459725312 21611353088 22281003862 22339909358 22652210048 22800958144 23139703808 23779695616 23947715584 24246974791 24585935296 24650934464 25159677952 25265926592 25809669632 26060749312 26191617868 26755282528 26868269363 27422773984 27495273056 27689546144 27879643136 28427487686 29213727622 29647745504 29842430512 30159613952 30259612672 30339611648 30553981952 31500729598 31707582419 32044589824 32074768384 32235837376 32929578496 33068639216 34079441408 34280205739 34872053632 34987677152 35135429167 35359547392 36489532928 37051556984 38479507456 38642005376 38770128736 39439495168 39823167488 40884476672 41057130712 41940713152 42191022448 42639454208 42919450624 43222706176 44562007724 44679818716 44827961351 45304420096 45601916288 46279407616 47559391232 47895431168 48493949582 49171870592 49301868928 50319355904 50531853184 51619339264 52121498624 52383235736 53510565056 53736538726 54845547968 54990546112 55379092288 55759286272 56854975372 58427455244 59295491008 59684861024 60319227904 60519225344 60679223296 61107963904 63001459196 63415164838 64089179648 64471674752 65859156992 66137278432 68158882816 68560411478 69744107264 69975354304 70270858334 72979065856 74103113968 76471228187 76959014912 77284010752 77540257472 78878990336 79646334976 81768953344 82114261424 83881426304 84382044896 85278908416 85838901248 86445412352 89124015448 89359637432 89655922702 90608840192 91203832576 92558815232 95118782464 95790862336 96987899164 98343741184 98603737856 100638711808 101063706368 103238678528 104242997248 104766471472 107021130112 107473077452 109691095936 109981092224 110758184576 111518572544 113709950744 116854910488 118590982016 119369722048 121038450688 121358446592 122215927808 126002918392 126830329676 128178359296 128943349504 131718313984 132274556864 136317765632 137120822956 139488214528 139950708608 140541716668 145958131712 148206227936 152942456374 154568021504 155080514944 163537906688 164228522848 167762852608 168764089792 171677802496 172890824704 178248030896 178719274864 179311845404 181217680384 182407665152 185117630464 189889229543 190237564928 191581724672 193975798328 196687482368 197207475712 202127412736 206477357056 208485994496 209532942944 214042260224 214946154904 219382191872 219962184448 221516369152 227419901488 233709820976 237181964032 238739444096 242076901376 242716893184 244431855616 252005836784 253660659352 256356718592 257886699008 263436627968 264549113728 272635531264 274241645912 278976429056 279901417216 281083433336 291916263424 296412455872 305884912748 309136043008 310161029888 327075813376 328457045696 335525705216 337528179584 356496061792 357438549728 358623690808 362435360768 364815330304 379778459086 387951596656 393374964736 394414951424 404254825472 412198571447 412954714112 416971988992 419065885888 428084520448 429892309808 438764383744 439924368896 443032738304 454839802976 456760579171 467419641952 474363928064 477478888192 504011673568 507321318704 512713437184 515773398016 526873255936 529098227456 545271062528 548483291824 557952858112 559802834432 562166866672 582763497563 583832526848 592824911744 611769825496 618272086016 620322059776 654151626752 656914091392 671051410432 675056359168 712992123584 714877099456 717247381616 724870721536 729630660608 759556918172 775903193312 786749929472 788829902848 808509650944 824397142894 838131771776 856169040896 859784619616 877528767488 879848737792 886065476608 909679605952 913521158342 934839283904 948727856128 954957776384 994125966431 1008023347136 1014642637408 1025426874368 1031546796032 1058196454912 1096966583648 1115905716224 1119605668864 1124333733344 1165526995126 1185649823488 1223539650992 1236544172032 1240644119552 1300010879179 1308303253504 1313828182784 1342102820864 1350112718336 1425984247168 1429754198912 1434494763232 1449741443072 1459261321216 1519113836344 1551806386624 1573499858944 1577659805696 1617019301888 1648794285788 1676263543552 1712338081792 1719569239232 1755057534976 1759697475584 1772130953216 1819359211904 1827042316684 1869678567808 1897455712256 1909915552768 1988251932862 2016046694272 2029285274816 2063093592064 2116392909824 2193933167296 2231811432448 2239211337728 2248667466688 2331053990252 2371299646976 2447079301984 2473088344064 2481288239104 2600021758358 2627656365568 2684205641728 2700225436672 2851968494336 2859508397824 2868989526464 2918522642432 3038227672688 3103612773248 3146999717888 3155319611392 3234038603776 3297588571576 3352527087104 3424676163584 3439138478464 3510115069952 3519394951168 3544261906432 3638718423808 3654084633368 3739357135616 3794911424512 3819831105536 3976503865724 4032093388544 4058570549632 4126187184128 4232785819648 4387866334592 4478422675456 4497334933376 4662107980504 4742599293952 4894158603968 4962576478208 5200043516716 5255312731136 5368411283456 5400450873344 5703936988672 5719016795648 5737979052928 6076455345376 6207225546496 6595177143152 6705054174208 6849352327168 6878276956928 7020230139904 7038789902336 7088523812864 7277436847616 7308169266736 7478714271232 7589822849024 7639662211072 7953007731448 8064186777088 8117141099264 8465571639296 8775732669184 8956845350912 8994669866752 9324215961008 9485198587904 9788317207936 9925152956416 10400087033432 10510625462272 10800901746688 11407873977344 11438033591296 11475958105856 12152910690752 12414451092992 13190354286304 13410108348416 13756553913856 14554873695232 14616338533472 14957428542464 15279324422144 15906015462896 16128373554176 16234282198528 16900141429327 16931143278592 17551465338368 17989339733504 18648431922016 18970397175808 19576634415872 20800174066864 21021250924544 21601803493376 22815747954688 22876067182592 22951916211712 24305821381504 24828902185984 26380708572608 26820216696832 27513107827712 29109747390464 29232677066944 29914857084928 31812030925792 32256747108352 32468564397056 33800282858654 35102930676736 35978679467008 37296863844032 37940794351616 39153268831744 41600348133728 42042501849088 45631495909376 45752134365184 45903832423424 48611642763008 49657804371968 52761417145216 53640433393664 55026215655424 58219494780928 58465354133888 59829714169856 63624061851584 64513494216704 64937128794112 67600565717308 70205861353472 71957358934016 74593727688064 78306537663488 83200696267456 91262991818752 91504268730368 91807664846848 97223285526016 99315608743936 105522834290432 110052431310848 116438989561856 116930708267776 119659428339712 127248123703168 129026988433408 129874257588224 135201131434616 140411722706944 143914717868032 149187455376128 156613075326976 166401392534912 183615329693696 194446571052032 198631217487872 211045668580864 220104862621696 233861416535552 254496247406336 259748515176448 270402262869232 280823445413888 287829435736064 298374910752256 313226150653952 332802785069824 367230659387392 388893142104064 422091337161728 467722833071104 508992494812672 540804525738464 596749821504512 626452301307904 665605570139648 777786284208128 844182674323456 935445666142208 1017984989625344 1081609051476928 1193499643009024 1331211140279296 1555572568416256 1688365348646912 1870891332284416 2035969979250688 2163218102953856 2386999286018048 2662422280558592 3376730697293824 3741782664568832 4071939958501376 4326436205907712 4773998572036096 5324844561117184 8143879917002752 8652872411815424 10649689122234368 17305744823630848 34611489647261696 69222979294523392 138445958589046784
- Sum of all divisors σ(n): 347486021607110400
- Sum of proper divisors (its aliquot sum) s(n): 209040063018063616
- 138445958589046784 is an abundant number, because the sum of its proper divisors (209040063018063616) is greater than itself. Its abundance is 70594104429016832
Bases of 138445958589046784
- Binary: 1111010111101101111011101101001100100100111100000000000002
- Hexadecimal: 0x1EBDBDDA649E000
- Base-36: 11V6ZVCN72M8
Squares and roots of 138445958589046784
- 138445958589046784 squared (1384459585890467842) is 19167283449640056982374257740742656
- 138445958589046784 cubed (1384459585890467843) is 2653632930733389118126294750500333847956015288418304
-
The
square root of 138445958589046784 is 372083268.3540698849 -
The
cube root of 138445958589046784 is 517320.9831009525
Scales and comparisons
How big is 138445958589046784?- 138,445,958,589,046,784 seconds is equal to 4,402,153,241 years, 34 weeks, 3 days, 19 hours, 39 minutes, 44 seconds.
-
To count from 1 to 138,445,958,589,046,784 would take you about thirteen billion, two hundred six million, four hundred fifty-nine thousand, seven hundred twenty-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 138445958589046784 cubic inches would be around 43110.1 feet tall.
Recreational maths with 138445958589046784
- 138445958589046784 backwards is 487640985859544831
- The number of decimal digits it has is: 18
- The sum of 138445958589046784's digits is 98
- More coming soon!
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MLA style:
"Number 138445958589046784 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 138445958589046784 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138445958589046784/
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Numbermatics. 2024. "Number 138445958589046784 - Facts about the integer". https://numbermatics.com/n/138445958589046784/
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