132813781416542016
132,813,781,416,542,016 is an even composite number composed of seven prime numbers multiplied together.
132813781416542016 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 132813781416542016:
26 × 33 × 7 × 17 × 19 × 49171 × 691337
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 19 × 49171 × 691337)See below for interesting mathematical facts about the number 132813781416542016 from the Numbermatics database.
Names of 132813781416542016
- Cardinal: 132813781416542016 can be written as One hundred thirty-two quadrillion, eight hundred thirteen trillion, seven hundred eighty-one billion, four hundred sixteen million, five hundred forty-two thousand and sixteen.
Scientific notation
- Scientific notation: 1.32813781416542016 × 1017
Factors of 132813781416542016
Divisors of 132813781416542016
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 19 21 24 27 28 32 34 36 38 42 48 51 54 56 57 63 64 68 72 76 84 96 102 108 112 114 119 126 133 136 144 152 153 168 171 189 192 204 216 224 228 238 252 266 272 288 304 306 323 336 342 357 378 399 408 432 448 456 459 476 504 513 532 544 576 608 612 646 672 684 714 756 798 816 864 912 918 952 969 1008 1026 1064 1071 1088 1197 1216 1224 1292 1344 1368 1428 1512 1596 1632 1728 1824 1836 1904 1938 2016 2052 2128 2142 2261 2394 2448 2584 2736 2856 2907 3024 3192 3213 3264 3591 3648 3672 3808 3876 4032 4104 4256 4284 4522 4788 4896 5168 5472 5712 5814 6048 6384 6426 6783 7182 7344 7616 7752 8208 8512 8568 8721 9044 9576 9792 10336 10944 11424 11628 12096 12768 12852 13566 14364 14688 15504 16416 17136 17442 18088 19152 20349 20672 22848 23256 25536 25704 27132 28728 29376 31008 32832 34272 34884 36176 38304 40698 46512 49171 51408 54264 57456 61047 62016 68544 69768 72352 76608 81396 93024 98342 102816 108528 114912 122094 139536 144704 147513 162792 186048 196684 205632 217056 229824 244188 279072 295026 325584 344197 393368 434112 442539 488376 558144 590052 651168 688394 691337 786736 835907 885078 934249 976752 1032591 1180104 1302336 1327617 1376788 1382674 1573472 1671814 1770156 1868498 1953504 2065182 2074011 2360208 2507721 2655234 2753576 2765348 2802747 3097773 3146944 3343628 3540312 3736996 3907008 4130364 4148022 4720416 4839359 5015442 5310468 5507152 5530696 5605494 5851349 6195546 6222033 6539743 6687256 7080624 7473992 7523163 8260728 8296044 8408241 9293319 9440832 9678718 10030884 10620936 11014304 11061392 11210988 11702698 11752729 12391092 12444066 13079486 13135403 13374512 14161248 14518077 14947984 15046326 15882233 16521456 16592088 16816482 17554047 18586638 18666099 19357436 19619229 20061768 21241872 22028608 22122784 22421976 22569489 23405396 23505458 24782184 24888132 25224723 26158972 26270806 26749024 28322496 29036154 29895968 30092652 31764466 33042912 33184176 33632964 35108094 35258187 37173276 37332198 38714872 39238458 39406209 40123536 42483744 43554231 44245568 44843952 45138978 46810792 47010916 47646699 49564368 49776264 50449446 52317944 52541612 52662141 53498048 58072308 58857687 59791936 60185304 63528932 66085824 66368352 67265928 70216188 70516374 74346552 74664396 77429744 78476916 78812418 80247072 82269103 84967488 87108462 89687904 90277956 91947821 93621584 94021832 95293398 99128736 99552528 100898892 104635888 105083224 105324282 105774561 111175631 116144616 117715374 118218627 120370608 127057864 130662693 132736704 134531856 140432376 141032748 142940097 148693104 149328792 154859488 156953832 157624836 157986423 160494144 164538206 174216924 176573061 179375808 180555912 183895642 187243168 188043664 190586796 198257472 199105056 201797784 209271776 210166448 210648564 211549122 222351262 223301851 232289232 235430748 236437254 240741216 246807309 254115728 261325386 269063712 275843463 280864752 282065496 285880194 297386208 298657584 309718976 313907664 315249672 315972846 317323683 329076412 333526893 348433848 353146122 354655881 361111824 367791284 374486336 376087328 381173592 398210112 403595568 418543552 420332896 421297128 423098244 428820291 444702524 446603702 464578464 470861496 472874508 481482432 493614618 508231456 522650772 538127424 551686926 561729504 564130992 571760388 594772416 597315168 627815328 630499344 631945692 634647366 658152824 667053786 669905553 696867696 706292244 709311762 722223648 735582568 740421927 752174656 762347184 807191136 827530389 840665792 842594256 846196488 857640582 889405048 893207404 929156928 941722992 945749016 987229236 1000580679 1016462912 1045301544 1103373852 1123459008 1128261984 1143520776 1194630336 1255630656 1260998688 1263891384 1269294732 1316305648 1334107572 1339811106 1393735392 1412584488 1418623524 1444447296 1471165136 1480843854 1524694368 1563112957 1614382272 1655060778 1685188512 1692392976 1715281164 1778810096 1786414808 1883445984 1891498032 1974458472 2001161358 2009716659 2090603088 2206747704 2221265781 2256523968 2287041552 2482591167 2521997376 2527782768 2538589464 2632611296 2668215144 2679622212 2787470784 2825168976 2837247048 2942330272 2961687708 3001742037 3049388736 3126225914 3310121556 3370377024 3384785952 3430562328 3557620192 3572829616 3766891968 3782996064 3948916944 4002322716 4019433318 4181206176 4413495408 4442531562 4574083104 4689338871 4965182334 5055565536 5077178928 5265222592 5336430288 5359244424 5650337952 5674494096 5884660544 5923375416 6003484074 6029149977 6252451828 6620243112 6769571904 6861124656 7115240384 7145659232 7565992128 7897833888 8004645432 8038866636 8362412352 8826990816 8885063124 9148166208 9378677742 9930364668 10111131072 10154357856 10672860576 10718488848 11300675904 11348988192 11846750832 12006968148 12058299954 12504903656 13240486224 13722249312 14068016613 14291318464 15795667776 16009290864 16077733272 17653981632 17770126248 18757355484 19860729336 20308715712 21345721152 21436977696 22697976384 23693501664 24013936296 24116599908 25009807312 26480972448 27444498624 28136033226 32018581728 32155466544 33993731627 35540252496 37514710968 39721458672 42204049839 42873955392 47387003328 48027872592 48233199816 50019614624 52961944896 56272066452 64037163456 64310933088 67987463254 71080504992 75029421936 79442917344 84408099678 96055745184 96466399632 100039229248 101981194881 112544132904 128621866176 135974926508 142161009984 150058843872 158885834688 168816199356 192111490368 192932799264 203962389762 225088265808 237956121389 271949853016 300117687744 305943584643 337632398712 385865598528 407924779524 450176531616 475912242778 543899706032 577893437659 611887169286 645880900913 675264797424 713868364167 815849559048 900353063232 917830753929 951824485556 1087799412064 1155786875318 1223774338572 1291761801826 1350529594848 1427736728334 1631699118096 1733680312977 1835661507858 1903648971112 1937642702739 2141605092501 2175598824128 2311573750636 2447548677144 2583523603652 2701059189696 2855473456668 3263398236192 3467360625954 3671323015716 3807297942224 3875285405478 4045254063613 4283210185002 4521166306391 4623147501272 4895097354288 5167047207304 5201040938931 5710946913336 5812928108217 6424815277503 6526796472384 6934721251908 7342646031432 7614595884448 7750570810956 8090508127226 8566420370004 9042332612782 9246295002544 9790194708576 10334094414608 10402081877862 10979975315521 11421893826672 11625856216434 12135762190839 12849630555006 13563498919173 13869442503816 14685292062864 15229191768896 15501141621912 15603122816793 16181016254452 17132840740008 17438784324651 18084665225564 18492590005088 19580389417152 20668188829216 20804163755724 21959950631042 22843787653344 23251712432868 24271524381678 25699261110012 27126997838346 27738885007632 29370584125728 31002283243824 31206245633586 32362032508904 32939925946563 34265681480016 34877568649302 36169330451128 36407286572517 36985180010176 40690496757519 41336377658432 41608327511448 43919901262084 45687575306688 46503424865736 48543048763356 51398522220024 54253995676692 55477770015264 58741168251456 62004566487648 62412491267172 64724065017808 65879851893126 68531362960032 69755137298604 72338660902256 72814573145034 76859827208647 81380993515038 83216655022896 87839802524168 93006849731472 97086097526712 98819777839689 102797044440048 108507991353384 109221859717551 110955540030528 122071490272557 124009132975296 124824982534344 129448130035616 131759703786252 137062725920064 139510274597208 144677321804512 145629146290068 153719654417294 162761987030076 166433310045792 175679605048336 186013699462944 194172195053424 197639555679378 205594088880096 217015982706768 218443719435102 230579481625941 244142980545114 249649965068688 258896260071232 263519407572504 279020549194416 289354643609024 291258292580136 296459333519067 307439308834588 325523974060152 332866620091584 351359210096672 372027398925888 388344390106848 395279111358756 411188177760192 434031965413536 436887438870204 461158963251882 488285961090228 499299930137376 527038815145008 558041098388832 582516585160272 592918667038134 614878617669176 651047948120304 691738444877823 702718420193344 776688780213696 790558222717512 868063930827072 873774877740408 922317926503764 976571922180456 998599860274752 1054077630290016 1116082196777664 1165033170320544 1185837334076268 1229757235338352 1302095896240608 1383476889755646 1581116445435024 1747549755480816 1844635853007528 1953143844360912 2075215334633469 2108155260580032 2330066340641088 2371674668152536 2459514470676704 2604191792481216 2766953779511292 3162232890870048 3495099510961632 3689271706015056 3906287688721824 4150430669266938 4743349336305072 4919028941353408 5533907559022584 6324465781740096 6990199021923264 7378543412030112 7812575377443648 8300861338533876 9486698672610144 11067815118045168 14757086824060224 16601722677067752 18973397345220288 22135630236090336 33203445354135504 44271260472180672 66406890708271008 132813781416542016
- Sum of all divisors σ(n): 497352725138534400
- Sum of proper divisors (its aliquot sum) s(n): 364538943721992384
- 132813781416542016 is an abundant number, because the sum of its proper divisors (364538943721992384) is greater than itself. Its abundance is 231725162305450368
Bases of 132813781416542016
- Binary: 1110101111101100101101110001101101001101111111111010000002
- Hexadecimal: 0x1D7D96E369BFF40
- Base-36: 10BQK0VL6XC0
Squares and roots of 132813781416542016
- 132813781416542016 squared (1328137814165420162) is 17639500534161001354152243093344256
- 132813781416542016 cubed (1328137814165420163) is 2342768768241035366323579827495491883015628576260096
-
The
square root of 132813781416542016 is 364436251.5125821231 -
The
cube root of 132813781416542016 is 510208.5286129375
Scales and comparisons
How big is 132813781416542016?- 132,813,781,416,542,016 seconds is equal to 4,223,067,429 years, 2 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
-
To count from 1 to 132,813,781,416,542,016 would take you about twelve billion, six hundred sixty-nine million, two hundred two thousand, two hundred eighty-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 132813781416542016 cubic inches would be around 42517.4 feet tall.
Recreational maths with 132813781416542016
- 132813781416542016 backwards is 610245614187318231
- 132813781416542016 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 132813781416542016'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 132813781416542016 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 132813781416542016 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/132813781416542016/
Chicago style:
Numbermatics. 2024. "Number 132813781416542016 - Facts about the integer". https://numbermatics.com/n/132813781416542016/
The information we have on file for 132813781416542016 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 132813781416542016, math, Factors of 132813781416542016, curriculum, school, college, exams, university, Prime factorization of 132813781416542016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-two quadrillion, eight hundred thirteen trillion, seven hundred eighty-one billion, four hundred sixteen million, five hundred forty-two thousand and sixteen.