13742845638756864
13,742,845,638,756,864 is an even composite number composed of six prime numbers multiplied together.
What does the number 13742845638756864 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
13742845638756864 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 13742845638756864:
29 × 3 × 7 × 97 × 1912 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 97 × 191 × 191 × 601 × 601)See below for interesting mathematical facts about the number 13742845638756864 from the Numbermatics database.
Names of 13742845638756864
- Cardinal: 13742845638756864 can be written as Thirteen quadrillion, seven hundred forty-two trillion, eight hundred forty-five billion, six hundred thirty-eight million, seven hundred fifty-six thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.3742845638756864 × 1016
Factors of 13742845638756864
Divisors of 13742845638756864
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 128 168 191 192 194 224 256 291 336 382 384 388 448 512 573 582 601 672 679 764 768 776 896 1146 1164 1202 1337 1344 1358 1528 1536 1552 1792 1803 2037 2292 2328 2404 2674 2688 2716 3056 3104 3584 3606 4011 4074 4207 4584 4656 4808 5348 5376 5432 6112 6208 7212 8022 8148 8414 9168 9312 9616 10696 10752 10864 12224 12416 12621 14424 16044 16296 16828 18336 18527 18624 19232 21392 21728 24448 24832 25242 28848 32088 32592 33656 36481 36672 37054 37248 38464 42784 43456 48896 49664 50484 55581 57696 58297 64176 65184 67312 72962 73344 74108 74496 76928 85568 86912 97792 100968 109443 111162 114791 115392 116594 128352 129689 130368 134624 145924 146688 148216 148992 153856 171136 173824 174891 201936 218886 222324 229582 230784 233188 255367 256704 259378 260736 269248 291848 293376 296432 307712 342272 344373 347648 349782 361201 389067 403872 408079 437772 444648 459164 461568 466376 510734 513408 518756 521472 538496 583696 592864 684544 688746 699564 722402 766101 778134 803537 807744 816158 875544 889296 918328 923136 932752 1021468 1026816 1037512 1042944 1076992 1083603 1167392 1185728 1224237 1377492 1399128 1444804 1532202 1556268 1607074 1615488 1632316 1751088 1778592 1836656 1865504 2042936 2053632 2075024 2153984 2167206 2334784 2371456 2410611 2448474 2528407 2754984 2798256 2889608 3064404 3112536 3214148 3230976 3264632 3502176 3538657 3557184 3673312 3731008 4085872 4150048 4334412 4669568 4742912 4821222 4896948 5056814 5509968 5596512 5779216 6128808 6225072 6428296 6461952 6529264 7004352 7077314 7114368 7346624 7462016 7585221 8171744 8300096 8668824 9339136 9485824 9642444 9793896 10113628 10615971 11019936 11134727 11193024 11558432 12257616 12450144 12856592 13058528 14008704 14154628 14228736 14693248 14924032 15170442 16343488 16600192 17337648 18678272 19284888 19587792 20227256 21231942 21925081 22039872 22269454 22386048 23116864 24515232 24770599 24900288 25713184 26117056 28017408 28309256 28457472 29386496 29848064 30340884 32686976 33200384 33404181 34675296 35036497 38569776 39175584 40454512 42463884 43850162 44079744 44538908 44772096 46233728 49030464 49541198 49800576 51426368 52234112 56034816 56618512 58772992 60681768 65373952 65775243 66400768 66808362 68989391 69350592 70072994 74311797 77139552 77943089 78351168 80909024 84927768 87700324 88159488 89077816 89544192 92467456 98060928 99082396 99601152 102852736 104468224 105109491 113237024 121363536 130747904 131550486 133616724 137978782 138701184 140145988 148623594 153475567 154279104 155886178 156702336 161818048 169855536 175400648 176318976 178155632 184934912 196121856 198164792 199202304 205705472 206968173 208936448 210218982 226474048 233829267 242727072 245255479 263100972 267233448 275957564 277402368 280291976 297247188 306951134 308558208 311772356 313404672 323636096 339711072 350801296 356311264 392243712 396329584 411410944 413936346 420437964 452948096 460426701 467658534 482925737 485454144 490510958 526201944 534466896 551915128 554804736 560583952 594494376 613902268 617116416 623544712 626809344 647272192 679422144 701602592 712622528 735766437 792659168 827872692 840875928 905896192 920853402 935317068 965851474 970908288 981021916 1052403888 1068933792 1103830256 1121167904 1188988752 1227804536 1234232832 1247089424 1294544384 1358844288 1403205184 1425245056 1448777211 1471532874 1585318336 1655745384 1681751856 1811792384 1841706804 1870634136 1931702948 1941816576 1962043832 2104807776 2126732857 2137867584 2207660512 2242335808 2377977504 2455609072 2494178848 2717688576 2806410368 2850490112 2897554422 2943065748 3170636672 3311490768 3363503712 3683413608 3741268272 3863405896 3883633152 3924087664 4209615552 4253465714 4275735168 4415321024 4484671616 4755955008 4911218144 4988357696 5435377152 5612820736 5700980224 5795108844 5886131496 6341273344 6380198571 6622981536 6691970927 6727007424 7366827216 7482536544 7726811792 7848175328 8419231104 8506931428 8551470336 8830642048 8969343232 9511910016 9822436288 9976715392 11225641472 11590217688 11772262992 12682546688 12760397142 13176973681 13245963072 13383941854 13454014848 14733654432 14887129999 14965073088 15453623584 15696350656 16838462208 17013862856 17102940672 17661284096 17938686464 19023820032 19644872576 19953430784 20075912781 23180435376 23544525984 25520794284 26353947362 26491926144 26767883708 26908029696 29467308864 29774259998 29930146176 30907247168 31392701312 33676924416 34027725712 35322568192 38047640064 39289745152 39530921043 39906861568 40151825562 44661389997 46360870752 46843796489 47089051968 51041588568 52707894724 52983852288 53535767416 53816059392 58934617728 59548519996 59860292352 61814494336 62785402624 68055451424 78579490304 79061842086 80303651124 89322779994 92238815767 92721741504 93687592978 94178103936 102083177136 105415789448 105967704576 107071534832 117869235456 119097039992 119720584704 123628988672 125570805248 136110902848 140531389467 158123684172 160607302248 178645559988 184477631534 185443483008 187375185956 188356207872 204166354272 210831578896 214143069664 235738470912 238194079984 247257977344 272221805696 276716447301 281062778934 316247368344 321214604496 357291119976 368955263068 370886966016 374750371912 376712415744 408332708544 421663157792 428286139328 476388159968 544443611392 553432894602 562125557868 632494736688 642429208992 714582239952 737910526136 741773932032 749500743824 816665417088 843326315584 856572278656 952776319936 1088887222784 1106865789204 1124251115736 1264989473376 1278166447057 1284858417984 1429164479904 1475821052272 1499001487648 1633330834176 1686652631168 1713144557312 1905552639872 2213731578408 2248502231472 2529978946752 2556332894114 2569716835968 2858328959808 2951642104544 2998002975296 3266661668352 3373305262336 3426289114624 3811105279744 3834499341171 4427463156816 4497004462944 5059957893504 5112665788228 5139433671936 5716657919616 5903284209088 5996005950592 6746610524672 7622210559488 7668998682342 8854926313632 8947165129399 8994008925888 10119915787008 10225331576456 10278867343872 11433315839232 11806568418176 11992011901184 15337997364684 17709852627264 17894330258798 17988017851776 20239831574016 20450663152912 22866631678464 23613136836352 23984023802368 26841495388197 30675994729368 35419705254528 35788660517596 35976035703552 40901326305824 47226273672704 53682990776394 61351989458736 70839410509056 71577321035192 71952071407104 81802652611648 107365981552788 122703978917472 141678821018112 143154642070384 163605305223296 214731963105576 245407957834944 286309284140768 327210610446592 429463926211152 490815915669888 572618568281536 654421220893184 858927852422304 981631831339776 1145237136563072 1717855704844608 1963263662679552 2290474273126144 3435711409689216 4580948546252288 6871422819378432 13742845638756864
- Sum of all divisors σ(n): 42566730107533632
- Sum of proper divisors (its aliquot sum) s(n): 28823884468776768
- 13742845638756864 is an abundant number, because the sum of its proper divisors (28823884468776768) is greater than itself. Its abundance is 15081038830019904
Bases of 13742845638756864
- Binary: 1100001101001100001011100110001000000001001010000000002
- Hexadecimal: 0x30D30B98804A00
- Base-36: 3RBFK4NK16O
Squares and roots of 13742845638756864
- 13742845638756864 squared (137428456387568642) is 188865806250698557286491307114496
- 13742845638756864 cubed (137428456387568643) is 2595553621742711532039678889165452676836353900544
-
The
square root of 13742845638756864 is 117229883.7274731071 -
The
cube root of 13742845638756864 is 239529.4346765855
Scales and comparisons
How big is 13742845638756864?- 13,742,845,638,756,864 seconds is equal to 436,979,981 years, 46 weeks, 5 days, 12 hours, 54 minutes, 24 seconds.
-
To count from 1 to 13,742,845,638,756,864 would take you about one billion, three hundred ten million, nine hundred thirty-nine thousand, nine hundred forty-five 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 13742845638756864 cubic inches would be around 19960.8 feet tall.
Recreational maths with 13742845638756864
- 13742845638756864 backwards is 46865783654824731
- The number of decimal digits it has is: 17
- The sum of 13742845638756864's digits is 87
- 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 13742845638756864 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 13742845638756864 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/13742845638756864/
Chicago style:
Numbermatics. 2024. "Number 13742845638756864 - Facts about the integer". https://numbermatics.com/n/13742845638756864/
The information we have on file for 13742845638756864 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 13742845638756864, math, Factors of 13742845638756864, curriculum, school, college, exams, university, Prime factorization of 13742845638756864, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, seven hundred forty-two trillion, eight hundred forty-five billion, six hundred thirty-eight million, seven hundred fifty-six thousand, eight hundred sixty-four.