42704567145737728
42,704,567,145,737,728 is an even composite number composed of five prime numbers multiplied together.
42704567145737728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 42704567145737728:
29 × 7 × 116 × 173 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 17 × 17 × 17 × 37 × 37)See below for interesting mathematical facts about the number 42704567145737728 from the Numbermatics database.
Names of 42704567145737728
- Cardinal: 42704567145737728 can be written as Forty-two quadrillion, seven hundred four trillion, five hundred sixty-seven billion, one hundred forty-five million, seven hundred thirty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2704567145737728 × 1016
Factors of 42704567145737728
Divisors of 42704567145737728
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 37 44 56 64 68 74 77 88 112 119 121 128 136 148 154 176 187 224 238 242 256 259 272 289 296 308 352 374 407 448 476 484 512 518 544 578 592 616 629 704 748 814 847 896 952 968 1036 1088 1156 1184 1232 1258 1309 1331 1369 1408 1496 1628 1694 1792 1904 1936 2023 2057 2072 2176 2312 2368 2464 2516 2618 2662 2738 2816 2849 2992 3179 3256 3388 3584 3808 3872 4046 4114 4144 4352 4403 4477 4624 4736 4913 4928 5032 5236 5324 5476 5632 5698 5984 6358 6512 6776 6919 7616 7744 8092 8228 8288 8704 8806 8954 9248 9317 9472 9583 9826 9856 10064 10472 10648 10693 10952 11396 11968 12716 13024 13552 13838 14399 14641 15059 15232 15488 16184 16456 16576 17612 17908 18496 18634 18944 19166 19652 19712 20128 20944 21296 21386 21904 22253 22627 22792 23273 23936 25432 26048 27104 27676 28798 29282 30118 30464 30976 31339 32368 32912 33152 34391 34969 35224 35816 36992 37268 38332 39304 39424 40256 41888 42592 42772 43808 44506 45254 45584 46546 47872 48433 49247 50864 52096 54043 54208 55352 57596 58564 60236 60928 61952 62678 64736 65824 66304 68782 69938 70448 71632 73984 74536 74851 76109 76664 78608 80512 83776 85184 85544 87616 89012 90508 91168 93092 95744 96866 98494 101728 102487 104192 105413 108086 108416 110704 115192 117128 117623 120472 125356 129472 131648 132608 137564 139876 140896 143264 147968 149072 149702 152218 153328 157216 158389 161024 161051 162911 165649 167552 170368 171088 175232 178024 181016 181781 182336 186184 193732 196988 203456 204974 208384 210826 216172 216832 221408 230384 234256 235246 240944 244783 248897 250712 256003 258944 263296 275128 279752 281792 286528 298144 299404 304436 306656 314432 316778 322048 322102 325822 331298 335104 340736 342176 344729 350464 356048 362032 363562 364672 372368 378301 384659 387464 393976 395641 406912 409948 421652 432344 433664 442816 460768 468512 470492 481888 489566 497794 501424 512006 517888 526592 532763 541717 550256 559504 563584 573056 594473 596288 598808 608872 613312 628864 633556 644204 651644 662596 670208 681472 684352 689458 700928 712096 724064 727124 729344 744736 756602 769318 774928 787952 791282 813824 819896 823361 837199 843304 864688 885632 921536 937024 940984 963776 979132 995588 1002848 1024012 1035776 1053184 1065526 1083434 1100512 1119008 1127168 1127357 1146112 1159543 1188946 1192576 1197616 1217744 1226624 1257728 1267112 1272467 1288408 1293853 1303288 1325192 1368704 1378916 1424192 1448128 1454248 1458688 1489472 1513204 1538636 1549856 1575904 1582564 1627648 1639792 1646722 1674398 1686608 1729376 1742279 1771264 1771561 1792021 1822139 1843072 1874048 1881968 1927552 1958264 1991176 1999591 2005696 2048024 2131052 2166868 2201024 2238016 2254336 2254714 2292224 2319086 2377892 2385152 2395232 2435488 2453248 2515456 2534224 2544934 2576816 2587706 2606576 2650384 2692613 2737408 2737867 2757832 2769487 2816033 2848384 2896256 2908496 2978944 3026408 3077272 3099712 3151808 3165128 3279584 3293444 3348796 3373216 3458752 3484558 3542528 3543122 3584042 3644278 3686144 3748096 3763936 3792019 3855104 3916528 3982352 3999182 4011392 4096048 4161311 4231249 4262104 4333736 4352051 4402048 4476032 4509428 4638172 4755784 4770304 4790464 4870976 4906496 5068448 5089868 5153632 5175412 5213152 5300768 5385226 5474816 5475734 5515664 5538974 5632066 5696768 5792512 5816992 5860393 5957888 5958887 6052816 6154544 6199424 6303616 6330256 6539203 6559168 6586888 6697592 6725897 6746432 6917504 6969116 7086244 7168084 7288556 7372288 7496192 7527872 7584038 7710208 7833056 7964704 7998364 8022784 8192096 8322622 8462498 8524208 8667472 8704102 8804096 8952064 9018856 9056971 9209189 9276344 9511568 9580928 9741952 10136896 10179736 10307264 10350824 10426304 10601536 10770452 10951468 11031328 11077948 11264132 11393536 11585024 11633984 11720786 11915776 11917774 12105632 12309088 12398848 12400927 12607232 12660512 12754973 13078406 13118336 13173776 13395184 13451794 13492864 13835008 13938232 13997137 14172488 14232383 14336168 14577112 15055744 15168076 15666112 15929408 15996728 16045568 16384192 16645244 16924996 17048416 17334944 17408204 17608192 17904128 18037712 18113942 18418378 18552688 19023136 19161856 19165069 19483904 19712231 20043529 20273792 20359472 20614528 20701648 20852608 21203072 21540904 21902936 21995501 22062656 22155896 22528264 23267968 23441572 23835548 24211264 24618176 24797696 24801854 25214464 25321024 25509946 26156812 26236672 26347552 26790368 26903588 26985728 27670016 27876464 27994274 28344976 28464766 28672336 29154224 29618743 30111488 30116537 30336152 30464357 30976363 31332224 31858816 31993456 32768384 33290488 33849992 34096832 34669888 34816408 36075424 36227884 36836756 37105376 38046272 38323712 38330138 38967808 39424462 40087058 40547584 40718944 41229056 41403296 41705216 41712209 42406144 43081808 43805872 43991002 44125312 44311792 45056528 45774421 46535936 46543739 46883144 47081279 47671096 47872561 48422528 49236352 49603708 50642048 51019892 52313624 52473344 52695104 53580736 53807176 53971456 55752928 55988548 56689952 56929532 57344672 58308448 59237486 60222976 60233074 60672304 60928714 61952726 62664448 63717632 63986912 64464323 65536768 65547757 66580976 67699984 68193664 69339776 69632816 71931233 72150848 72455768 73673512 73984867 74210752 76092544 76660276 78848924 80174116 81095168 81437888 82458112 82806592 83410432 83424418 84812288 86163616 87611744 87982004 88250624 88623584 90113056 91548842 93071872 93087478 93766288 94162558 95342192 95745122 96845056 98472704 99207416 99626681 101284096 101301079 102039784 104627248 105390208 107161472 107614352 111505856 111977096 113379904 113859064 114689344 116616896 118474972 120466148 121344608 121857428 123905452 125328896 127435264 127973824 128928646 131073536 131095514 133161952 135399968 136387328 138679552 139265632 140304703 143862466 144301696 144911536 147347024 147969734 148421504 152185088 153320552 153968507 156556213 157697848 160348232 162875776 165613184 166848836 172327232 175223488 175964008 176501248 177247168 180226112 183097684 186174956 187532576 188325116 190684384 191490244 193690112 196945408 198414832 199253362 202568192 202602158 204079568 209254496 210780416 210815759 214322944 215228704 216834541 220478819 223011712 223954192 226759808 227718128 229378688 233233792 236949944 240932296 241950511 242689216 243714856 247810904 255947648 257857292 262191028 266323904 270799936 272774656 277359104 278531264 280609406 287724932 288603392 289823072 294694048 295939468 296843008 304370176 306641104 307937014 313112426 315395696 320696464 325751552 325806173 331226368 333697672 335107927 340739993 344654464 350446976 351928016 354494336 360452224 366195368 372349912 375065152 376650232 381368768 382980488 396829664 398506724 405204316 408159136 418508992 421560832 421631518 428645888 430457408 433669082 440957638 446023424 447908384 453519616 455436256 458757376 458834299 466467584 473899888 481864592 483901022 485378432 487429712 495621808 503518631 511895296 511981129 515714584 517894069 524382056 526598171 532647808 541599872 557062528 561218812 575449864 577206784 579646144 589388096 591878936 593686016 613282208 615874028 626224852 630791392 641392928 651503104 651612346 662452736 667395344 670215854 681479986 689308928 700893952 703856032 708988672 709107553 720904448 732390736 744699824 750130304 753300464 762737536 765960976 791243563 793659328 797013448 810408632 813833537 816318272 837017984 843263036 860914816 867338164 881915276 892046848 895816768 907039232 910872512 917514752 917668598 932935168 947799776 963729184 967802044 970756864 974859424 991243616 1007037262 1023790592 1023962258 1031429168 1035788138 1048764112 1053196342 1065295616 1083199744 1095893491 1114125056 1114311869 1122437624 1150899728 1159292288 1178776192 1183757872 1226564416 1231748056 1252449704 1261582784 1282785856 1303224692 1334790688 1340431708 1362959972 1378617856 1401787904 1407712064 1417977344 1418215106 1441808896 1464781472 1489399648 1500260608 1506600928 1525475072 1531921952 1543351733 1582487126 1587318656 1594026896 1620817264 1627667074 1632636544 1674035968 1686526072 1693653577 1721829632 1722118343 1734676328 1763830552 1791633536 1821745024 1835337196 1895599552 1927458368 1935604088 1941513728 1949718848 1982487232 2014074524 2047924516 2062858336 2071576276 2097528224 2106392684 2130591232 2166399488 2191786982 2228250112 2228623738 2244875248 2301799456 2318584576 2357552384 2367515744 2385179951 2425267009 2453128832 2463496112 2504899408 2523165568 2565571712 2606449384 2661455621 2669581376 2680863416 2725919944 2815424128 2836430212 2929562944 2978799296 3000521216 3013201856 3050950144 3063843904 3086703466 3164974252 3174637312 3188053792 3241634528 3255334148 3265273088 3348071936 3373052144 3387307154 3443659264 3444236686 3469352656 3527661104 3583267072 3583867903 3643490048 3670674392 3686187197 3748139923 3791199104 3854916736 3871208176 3899437696 3964974464 4028149048 4095849032 4125716672 4143152552 4195056448 4212785368 4383573964 4457247476 4489750496 4603598912 4637169152 4715104768 4735031488 4770359902 4850534018 4906257664 4926992224 5009798816 5046331136 5131143424 5212898768 5322911242 5339162752 5361726832 5451839888 5538704941 5630848256 5672860424 5696834759 5792579881 5859125888 5957598592 6026403712 6127687808 6173406932 6329948504 6349274624 6376107584 6483269056 6510668296 6530546176 6746104288 6774614308 6888473372 6938705312 7055322208 7166534144 7167735806 7286980096 7341348784 7372374394 7496279846 7582398208 7709833472 7742416352 7798875392 7800183083 7929948928 8056298096 8191698064 8251433344 8286305104 8390112896 8425570736 8703679193 8767147928 8914494952 8952168907 8979500992 9207197824 9470062976 9540719804 9701068036 9812515328 9853984448 10019597632 10092662272 10262286848 10425797536 10645822484 10678325504 10723453664 10903679776 11077409882 11261696512 11345720848 11393669518 11585159762 11718251776 11915197184 12052807424 12054828401 12255375616 12346813864 12659897008 12752215168 12966538112 13021336592 13492208576 13549228616 13776946744 13877410624 14110644416 14335471612 14682697568 14744748788 14992559692 15164796416 15419666944 15484832704 15597750784 15600366166 15859897856 16112596192 16383396128 16502866688 16572610208 16780225792 16851141472 16976869063 17407358386 17534295856 17828989904 17904337814 17959001984 18414395648 18630189347 18940125952 18943301773 19081439608 19402136072 19707968896 20039195264 20851595072 21291644968 21356651008 21446907328 21807359552 22154819764 22691441696 22787339036 23170319524 23436503552 23830394368 24105614848 24109656802 24510751232 24693627728 25319794016 25504430336 25933076224 26042673184 26236979461 26984417152 27098457232 27553893488 27754821248 28221288832 28670943224 29276011831 29365395136 29489497576 29985119384 30969665408 31200732332 32225192384 32766792256 33005733376 33145220416 33560451584 33702282944 33953738126 34814716772 35068591712 35657979808 35808675628 35918003968 36828791296 37260378694 37880251904 37886603546 38162879216 38804272144 39415937792 40078390528 40548059167 41229539153 41703190144 42583289936 42893814656 43614719104 44309639528 45382883392 45574678072 46340639048 48219313604 49387255456 50639588032 51008860672 51866152448 52085346368 52473958922 53968834304 54196914464 55107786976 55509642496 56442577664 57341886448 58552023662 58730790272 58978995152 59970238768 60925754351 61939330816 62401464664 62665182349 63718378691 64450384768 65533584512 66290440832 67404565888 67907476252 69629433544 70137183424 71315959616 71617351256 71836007936 74520757388 75773207092 76325758432 77608544288 78831875584 80156781056 81096118334 82459078306 83406380288 85166579872 85787629312 87229438208 88619279056 90765766784 91149356144 92681278096 96438627208 98473857977 98774510912 101279176064 104170692736 104947917844 107937668608 108393828928 110215573952 111019284992 112885155328 114683772896 117104047324 117461580544 117957990304 119940477536 121851508702 123878661632 124802929328 125330364698 127436757382 128900769536 131067169024 132580881664 132603112411 134809131776 135814952504 139258867088 140274366848 142631919232 143234702512 149041514776 151546414184 152651516864 155217088576 162192236668 164918156612 166812760576 170333159744 171575258624 174458876416 177238558112 181531533568 182298712288 185362556192 192877254416 196947715954 197549021824 202558352128 204932082817 208341385472 209895835688 216787657856 220431147904 229367545792 234208094648 234923161088 235915980608 239880955072 243703017404 249605858656 250660729396 254873514764 257801539072 262134338048 265161763328 265206224822 269618263552 271629905008 278517734176 280548733696 285263838464 286469405024 288606774071 298083029552 303092828368 305303033728 310434177152 322036130141 324384473336 329836313224 340666319488 354477116224 363063067136 364597424576 370725112384 385754508832 393895431908 395098043648 405116704256 409864165634 416682770944 419791671376 433575315712 440862295808 446028650837 458735091584 468416189296 471831961216 479761910144 487406034808 499211717312 501321458792 509747029528 530412449644 543259810016 557035468352 561097467392 570527676928 572938810048 577213548142 596166059104 606185656736 610606067456 620868354304 644072260282 648768946672 659672626448 681332638976 689317005839 700902165601 708954232448 729194849152 741450224768 771509017664 787790863816 790196087296 819728331268 839583342752 867150631424 881724591616 892057301674 917470183168 936832378592 943663922432 959523820288 974812069616 998423434624 1002642917584 1019494059056 1060824899288 1083212437747 1086519620032 1114070936704 1145877620096 1154427096284 1192332118208 1212371313472 1221212134912 1241736708608 1288144520564 1297537893344 1319345252896 1362665277952 1378634011678 1401804331202 1417908464896 1458389698304 1482900449536 1543018035328 1575581727632 1639456662536 1679166685504 1784114603348 1834940366336 1873664757184 1887327844864 1919047640576 1949624139232 1996846869248 2005285835168 2038988118112 2121649798576 2166424875494 2173039240064 2228141873408 2254252910987 2291755240192 2308854192568 2384664236416 2424742626944 2576289041128 2595075786688 2638690505792 2757268023356 2803608662404 2835816929792 2916779396608 2965800899072 3086036070656 3151163455264 3278913325072 3358333371008 3568229206696 3747329514368 3899248278464 3993693738496 4010571670336 4077976236224 4243299597152 4332849750988 4346078480128 4456283746816 4508505821974 4583510480384 4617708385136 4769328472832 4849485253888 4906315159207 5152578082256 5190151573376 5277381011584 5514536046712 5607217324808 6172072141312 6302326910528 6557826650144 6716666742016 7136458413392 7494659028736 7582487064229 7798496556928 8021143340672 8155952472448 8486599194304 8665699501976 8692156960256 9017011643948 9235416770272 9538656945664 9698970507776 9812630318414 10305156164512 10380303146752 10554762023168 11029072093424 11214434649616 11915336815217 12604653821056 13115653300288 13433333484032 14272916826784 14989318057472 15164974128458 15596993113856 16042286681344 16311904944896 16973198388608 17331399003952 18034023287896 18470833540544 19625260636828 20610312329024 20760606293504 21109524046336 22058144186848 22428869299232 23830673630434 25209307642112 26231306600576 28545833653568 30329948256916 31193986227712 32084573362688 32623809889792 33946396777216 34662798007904 36068046575792 36941667081088 39250521273656 41220624658048 44116288373696 44857738598464 47661347260868 50418615284224 52462613201152 57091667307136 60659896513832 67892793554432 69325596015808 72136093151584 73883334162176 78501042547312 82441249316096 83407357706519 88232576747392 89715477196928 95322694521736 104925226402304 114183334614272 121319793027664 138651192031616 144272186303168 147766668324352 157002085094624 164882498632192 166814715413038 176465153494784 179430954393856 190645389043472 228366669228544 242639586055328 277302384063232 288544372606336 314004170189248 333629430826076 352930306989568 358861908787712 381290778086944 485279172110656 554604768126464 577088745212672 628008340378496 667258861652152 762581556173888 970558344221312 1154177490425344 1256016680756992 1334517723304304 1525163112347776 1941116688442624 2512033361513984 2669035446608608 3050326224695552 3882233376885248 5338070893217216 6100652449391104 10676141786434432 21352283572868864 42704567145737728
- Sum of all divisors σ(n): 117132926753193120
- Sum of proper divisors (its aliquot sum) s(n): 74428359607455392
- 42704567145737728 is an abundant number, because the sum of its proper divisors (74428359607455392) is greater than itself. Its abundance is 31723792461717664
Bases of 42704567145737728
- Binary: 100101111011011110010011110110110000001000101110000000002
- Hexadecimal: 0x97B793DB022E00
- Base-36: BOHI7BBBMKG
Squares and roots of 42704567145737728
- 42704567145737728 squared (427045671457377282) is 1823680055104822160847037362601984
- 42704567145737728 cubed (427045671457377283) is 77879467365566557820868667368637500817653316452352
-
The
square root of 42704567145737728 is 206650833.8858997393 -
The
cube root of 42704567145737728 is 349535.6212677349
Scales and comparisons
How big is 42704567145737728?- 42,704,567,145,737,728 seconds is equal to 1,357,873,141 years, 17 weeks, 3 days, 55 minutes, 28 seconds.
-
To count from 1 to 42,704,567,145,737,728 would take you about four billion, seventy-three million, six hundred nineteen thousand, four 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 42704567145737728 cubic inches would be around 29128 feet tall.
Recreational maths with 42704567145737728
- 42704567145737728 backwards is 82773754176540724
- The number of decimal digits it has is: 17
- The sum of 42704567145737728's digits is 79
- 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 42704567145737728 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 42704567145737728 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/42704567145737728/
Chicago style:
Numbermatics. 2024. "Number 42704567145737728 - Facts about the integer". https://numbermatics.com/n/42704567145737728/
The information we have on file for 42704567145737728 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 42704567145737728, math, Factors of 42704567145737728, curriculum, school, college, exams, university, Prime factorization of 42704567145737728, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred four trillion, five hundred sixty-seven billion, one hundred forty-five million, seven hundred thirty-seven thousand, seven hundred twenty-eight.