133820142546816
133,820,142,546,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 133820142546816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
133820142546816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 133820142546816:
27 × 33 × 112 × 41 × 71 × 211 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 41 × 71 × 211 × 521)See below for interesting mathematical facts about the number 133820142546816 from the Numbermatics database.
Names of 133820142546816
- Cardinal: 133820142546816 can be written as One hundred thirty-three trillion, eight hundred twenty billion, one hundred forty-two million, five hundred forty-six thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.33820142546816 × 1014
Factors of 133820142546816
Divisors of 133820142546816
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 41 44 48 54 64 66 71 72 82 88 96 99 108 121 123 128 132 142 144 164 176 192 198 211 213 216 242 246 264 284 288 297 328 352 363 369 384 396 422 426 432 451 484 492 521 528 568 576 594 633 639 656 704 726 738 781 792 844 852 864 902 968 984 1042 1056 1089 1107 1136 1152 1188 1266 1278 1312 1353 1408 1452 1476 1562 1563 1584 1688 1704 1728 1804 1899 1917 1936 1968 2084 2112 2178 2214 2272 2321 2343 2376 2532 2556 2624 2706 2904 2911 2952 3124 3126 3168 3267 3376 3408 3456 3608 3798 3834 3872 3936 4059 4168 4224 4356 4428 4544 4642 4686 4689 4752 4961 5064 5112 5248 5412 5697 5731 5808 5822 5904 6248 6252 6336 6534 6752 6816 6963 7029 7216 7596 7668 7744 7872 8118 8336 8591 8651 8712 8733 8856 9088 9284 9372 9378 9504 9922 10128 10224 10824 11394 11462 11616 11644 11808 12177 12496 12504 12672 13068 13504 13632 13926 14058 14067 14432 14883 14981 15192 15336 15488 15744 16236 16672 17182 17193 17302 17424 17466 17712 18568 18744 18756 19008 19844 20256 20448 20889 21087 21361 21648 22788 22924 23232 23288 23616 24354 24992 25008 25531 25773 25953 26136 26199 27008 27264 27852 28116 28134 28864 29766 29962 30384 30672 32021 32472 33344 34364 34386 34604 34848 34932 35424 36991 37136 37488 37512 38016 39688 40512 40896 41778 42174 42722 43296 44649 44943 45576 45848 46464 46576 47232 48708 49984 50016 51062 51546 51579 51906 52272 52398 55704 56232 56268 57728 59532 59924 60768 61344 62667 63041 64042 64083 64944 66688 68728 68772 69208 69696 69864 70848 73982 74272 74976 75024 76593 77319 77859 78597 79376 81024 81792 83556 84348 85444 86592 89298 89886 91152 91696 93152 95161 96063 97416 99968 100032 102124 103092 103158 103812 104544 104796 109931 110973 111408 112464 112536 119064 119848 121536 122688 125334 126082 128084 128166 129888 133947 134829 137456 137544 138416 139392 139728 141696 147964 148544 149952 150048 153186 154638 154737 155718 157194 158752 164791 167112 168696 170888 173184 178596 179772 182304 183392 186304 189123 190322 192126 192249 194832 200064 204248 206184 206316 207624 209088 209592 219862 221946 222816 224928 225072 229779 231957 233577 234971 238128 239696 243072 245376 250668 252164 256168 256332 259776 267894 269658 274912 275088 276832 279456 285483 288189 295928 297088 299904 300096 306372 309276 309474 311436 314388 317504 329582 329793 332919 334224 337392 341776 352231 357192 359544 364608 366784 372608 378246 380644 384252 384498 389664 404487 406901 408496 412368 412632 415248 418176 419184 439724 443892 445632 449856 450144 459558 463914 467154 469942 476256 479392 494373 501336 504328 512336 512664 519552 535788 539316 549824 550176 553664 558912 567369 570966 576378 576747 591856 600192 612744 614221 618552 618948 622872 628776 635008 659164 659586 665838 668448 674784 683552 689337 704462 704913 714384 719088 729216 733568 756492 761288 768504 768996 779328 808974 813802 816992 824736 825264 830496 838368 856449 864567 879448 887784 891264 899712 900288 919116 927828 934308 939884 952512 958784 988746 989379 998757 1002672 1008656 1024672 1025328 1046771 1056693 1071576 1078632 1099648 1100352 1107328 1117824 1134738 1141932 1152756 1153494 1183712 1209241 1220703 1225488 1228442 1237104 1237896 1245744 1257552 1318328 1319172 1331676 1336896 1349568 1367104 1378674 1408924 1409826 1428768 1438176 1483119 1512984 1516631 1522576 1537008 1537992 1558656 1617948 1627604 1633984 1649472 1650528 1660992 1676736 1702107 1712898 1729134 1758896 1775568 1800576 1812701 1838232 1842663 1855656 1868616 1879768 1905024 1917568 1977492 1978758 1997514 2005344 2017312 2049344 2050656 2093542 2113386 2114739 2143152 2157264 2200704 2269476 2283864 2305512 2306988 2367424 2418482 2441406 2450976 2456884 2474208 2475792 2491488 2515104 2569347 2584681 2636656 2638344 2663352 2673792 2699136 2734208 2757348 2817848 2819652 2857536 2876352 2966238 2968137 3025968 3033262 3045152 3074016 3075984 3140313 3170079 3235896 3255208 3267968 3298944 3301056 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106413208 107421864 108102896 108172104 108934848 109197432 109625472 110664576 113051268 116012864 116087136 117187488 117930432 119714859 120849597 121615758 121693617 124064688 124881616 126640512 127840896 130514472 130598028 132671736 133463528 133986688 135256704 135343296 139572774 140491818 142379424 143229152 144229472 145596576 148641482 148736643 150146469 150735024 152163792 154782848 156249984 159619812 161132796 162154344 162258156 163796148 164438208 165419584 171712222 174019296 174130704 175781232 176895648 182423637 183512351 186097032 187322424 189839232 189960768 194128768 195771708 198315524 200195292 200980032 202885056 203014944 210737727 212826416 214843728 216205792 216344208 217869696 218394864 222962223 226102536 232025728 232174272 234374976 235860864 239429718 241699194 243231516 243387234 248129376 249763232 257568333 261028944 261196056 265343472 266927056 270686592 279145548 280983636 284758848 286458304 288458944 291193152 297282964 297473286 300292938 301470048 304327584 319239624 320009141 322265592 324308688 324516312 327592296 328876416 330839168 343424444 348038592 348261408 351562464 353791296 359144577 364847274 367024702 372194064 374644848 379921536 391543416 396631048 400390584 401960064 405770112 406029888 421475454 425652832 429687456 432411584 432688416 436789728 445924446 446209929 450439407 452205072 464348544 468749952 478859436 483398388 486463032 486774468 496258752 499526464 515136666 522057888 522392112 530686944 533854112 545367691 550537053 558291096 561967272 569517696 572916608 576917888 582386304 594565928 594946572 600585876 602940096 608655168 638479248 640018282 644531184 648617376 649032624 655184592 668886669 686848888 696077184 696522816 703124928 707582592 718289154 729694548 734049404 744388128 749289696 772704999 783086832 793262096 800781168 812059776 842950908 851305664 859374912 864823168 865376832 873579456 891848892 892419858 900878814 904410144 944417221 957718872 960027423 966796776 972926064 973548936 992517504 999052928 1030273332 1044115776 1044784224 1061373888 1067708224 1090735382 1101074106 1116582192 1123934544 1189131856 1189893144 1201171752 1205880192 1217310336 1276958496 1280036564 1289062368 1297234752 1298065248 1310369184 1337773338 1338629787 1373697776 1393045632 1406249856 1436578308 1459389096 1468098808 1488776256 1498579392 1545409998 1566173664 1586524192 1601562336 1636103073 1651611159 1685901816 1702611328 1718749824 1730753664 1747158912 1783697784 1784839716 1801757628 1808820288 1888834442 1915437744 1920054846 1933593552 1945852128 1947097872 2006660007 2060546664 2088231552 2089568448 2122747776 2135416448 2181470764 2202148212 2233164384 2247869088 2318114997 2378263712 2379786288 2402343504 2553916992 2560073128 2578124736 2594469504 2596130496 2620738368 2675546676 2677259574 2747395552 2833251663 2873156616 2880082269 2918778192 2936197616 2977552512 2997158784 3090819996 3132347328 3173048384 3203124672 3272206146 3303222318 3371803632 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15360438768 15468748416 15576782976 16053280056 16484373312 16999509978 17280493614 17451766112 17617185696 18544919976 19038290304 19218748032 19633236876 19819333908 20480585024 21120603306 21404373408 21418076592 22666013304 22985252928 23040658152 23350225536 23489580928 24726559968 25499264967 26177649168 26425778544 26974429056 28160804408 28539164544 28557435456 28828122048 29449855314 30221351072 30720877536 31680904959 32106560112 32968746624 33999019956 34560987228 34903532224 35234371392 37089839952 38721106061 39266473752 39638667816 40961170048 42241206612 42808746816 42836153184 45332026608 45970505856 46081316304 49453119936 50998529934 52355298336 52851557088 56321608816 57114870912 57656244096 58899710628 60442702144 61441755072 63361809918 64213120224 67998039912 69121974456 69807064448 70468742784 74179679904 77442212122 78532947504 79277335632 84482413224 85617493632 85672306368 90664053216 92162632608 95042714877 98906239872 101997059868 104710596672 105703114176 112643217632 116163318183 117799421256 120885404288 122883510144 126723619836 128426240448 135996079824 138243948912 148359359808 154884424244 157065895008 158554671264 168964826448 171344612736 181328106432 184325265216 190085429754 203994119736 209421193344 211406228352 225286435264 232326636366 235598842512 253447239672 256852480896 271992159648 276487897824 296718719616 309768848488 314131790016 317109342528 337929652896 348489954549 362656212864 368650530432 380170859508 407988239472 450572870528 464653272732 471197685024 506894479344 543984319296 552975795648 619537696976 628263580032 634218685056 675859305792 696979909098 760341719016 815976478944 929306545464 942395370048 1013788958688 1045469863647 1087968638592 1105951591296 1239075393952 1351718611584 1393959818196 1520683438032 1631952957888 1858613090928 1884790740096 2027577917376 2090939727294 2478150787904 2787919636392 3041366876064 3263905915776 3717226181856 4055155834752 4181879454588 4956301575808 5575839272784 6082733752128 7434452363712 8363758909176 11151678545568 12165467504256 14868904727424 16727517818352 22303357091136 33455035636704 44606714182272 66910071273408 133820142546816
- Sum of all divisors σ(n): 453983389977600
- Sum of proper divisors (its aliquot sum) s(n): 320163247430784
- 133820142546816 is an abundant number, because the sum of its proper divisors (320163247430784) is greater than itself. Its abundance is 186343104883968
Bases of 133820142546816
- Binary: 111100110110101011011100000111101101111100000002
- Hexadecimal: 0x79B56E0F6F80
- Base-36: 1BFO4HQLC0
Squares and roots of 133820142546816
- 133820142546816 squared (1338201425468162) is 17907830551250153834751737856
- 133820142546816 cubed (1338201425468163) is 2396428437072522134400726213940301839466496
-
The
square root of 133820142546816 is 11568065.6354818457 -
The
cube root of 133820142546816 is 51149.3943936623
Scales and comparisons
How big is 133820142546816?- 133,820,142,546,816 seconds is equal to 4,255,066 years, 31 weeks, 1 day, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 133,820,142,546,816 would take you about ten million, six hundred thirty-seven thousand, six hundred sixty-six 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 133820142546816 cubic inches would be around 4262.4 feet tall.
Recreational maths with 133820142546816
- 133820142546816 backwards is 618645241028331
- 133820142546816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 133820142546816's digits is 54
- More coming soon!
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"Number 133820142546816 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 133820142546816 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/133820142546816/
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Numbermatics. 2024. "Number 133820142546816 - Facts about the integer". https://numbermatics.com/n/133820142546816/
The information we have on file for 133820142546816 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 133820142546816, math, Factors of 133820142546816, curriculum, school, college, exams, university, Prime factorization of 133820142546816, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-three trillion, eight hundred twenty billion, one hundred forty-two million, five hundred forty-six thousand, eight hundred sixteen.