13829810678244415764
13,829,810,678,244,415,764 is an even composite number composed of six prime numbers multiplied together.
What does the number 13829810678244415764 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2106 divisors.
13829810678244415764 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 13829810678244415764:
22 × 312 × 72 × 132 × 101 × 27892
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 101 × 2789 × 2789)See below for interesting mathematical facts about the number 13829810678244415764 from the Numbermatics database.
Names of 13829810678244415764
- Cardinal: 13829810678244415764 can be written as Thirteen quintillion, eight hundred twenty-nine quadrillion, eight hundred ten trillion, six hundred seventy-eight billion, two hundred forty-four million, four hundred fifteen thousand, seven hundred sixty-four.
Scientific notation
- Scientific notation: 1.3829810678244415764 × 1019
Factors of 13829810678244415764
Divisors of 13829810678244415764
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 81 84 91 98 101 108 117 126 147 156 162 169 182 189 196 202 234 243 252 273 294 303 324 338 351 364 378 404 441 468 486 507 546 567 588 606 637 676 702 707 729 756 819 882 909 972 1014 1053 1092 1134 1183 1212 1274 1313 1323 1404 1414 1458 1521 1638 1701 1764 1818 1911 2028 2106 2121 2187 2268 2366 2457 2548 2626 2646 2727 2789 2828 2916 3042 3159 3276 3402 3549 3636 3822 3939 3969 4212 4242 4374 4563 4732 4914 4949 5103 5252 5292 5454 5578 5733 6084 6318 6363 6561 6804 7098 7371 7644 7878 7938 8181 8281 8367 8484 8748 9126 9191 9477 9828 9898 10206 10647 10908 11156 11466 11817 11907 12636 12726 13122 13689 14196 14742 14847 15309 15756 15876 16362 16562 16734 17069 17199 18252 18382 18954 19089 19523 19683 19796 20412 21294 22113 22932 23634 23814 24543 24843 25101 25452 26244 27378 27573 28431 29484 29694 30618 31941 32724 33124 33468 34138 34398 35451 35721 36257 36764 37908 38178 39046 39366 41067 42588 44226 44541 45927 47268 47628 49086 49686 50202 51207 51597 54756 55146 56862 57267 58569 59049 59388 61236 63882 64337 66339 68276 68796 70902 71442 72514 73629 74529 75303 76356 78092 78732 82134 82719 85293 88452 89082 91854 95823 98172 99372 100404 102414 103194 106353 107163 108771 110292 113724 114534 117138 118098 119483 123201 127764 128674 132678 133623 136661 137781 141804 142884 145028 147258 149058 150606 153621 154791 164268 165438 170586 171801 175707 177147 178164 183708 191646 193011 199017 204828 206388 212706 214326 217542 220887 223587 225909 229068 234276 236196 238966 246402 248157 253799 255879 257348 265356 267246 273322 275562 281689 287469 294516 298116 301212 307242 309582 319059 321489 326313 330876 341172 343602 351414 354294 358449 369603 383292 386022 398034 400869 409983 413343 425412 428652 435084 441774 447174 451818 460863 464373 471341 477932 492804 496314 507598 511758 515403 527121 531441 534492 546644 551124 563378 574938 579033 597051 614484 619164 638118 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405114847918578 413224891784523 417516322854861 422619810482961 432979890368004 451688897976498 465744280940406 469061547898671 486434197820844 501570764089668 505143205429338 526970380972581 543368327763807 550966522379364 556688430473148 563493080643948 580742868826926 585165891437946 603079133012577 625415397198228 649469835552006 677533346964747 698616421410609 702627174630108 708385528773468 724491103685076 729651296731266 752356146134502 757714808144007 804105510683436 810229695837156 826449783569046 835032645709722 845239620965922 871114303240389 877748837156919 903377795952996 931488561880812 938123095797342 974204753328009 1010286410858676 1053940761945162 1086736655527614 1094476945096899 1161485737653852 1170331782875892 1206158266025154 1239674675353569 1267859431448883 1298939671104012 1355066693929494 1397232842821218 1407184643696013 1459302593462532 1504712292269004 1515429616288014 1580911142917743 1630104983291421 1652899567138092 1670065291419444 1690479241931844 1742228606480778 1755497674313838 1809237399037731 1876246191594684 1948409506656018 2032600040894241 2107881523890324 2173473311055228 2188953890193798 2273144424432021 2412316532050308 2479349350707138 2535718862897766 2613342909721167 2633246511470757 2710133387858988 2794465685642436 2814369287392026 2922614259984027 3030859232576028 3161822285835486 3260209966582842 3283430835290697 3484457212961556 3510995348627676 3618474798075462 3803578294346649 3896819013312036 4065200081788482 4221553931088039 4377907780387596 4546288848864042 4742733428753229 4890314949874263 4958698701414276 5071437725795532 5226685819442334 5266493022941514 5427712197113193 5628738574784052 5845228519968054 6097800122682723 6323644571670972 6520419933165684 6566861670581394 6819433273296063 7236949596150924 7607156588693298 7840028729163501 8130400163576964 8443107862176078 9092577697728084 9485466857506458 9780629899748526 9850292505872091 10453371638884668 10532986045883028 10855424394226386 11410734883039947 11690457039936108 12195600245365446 12664661793264117 13133723341162788 13638866546592126 14228200286259687 15214313177386596 15680057458327002 16886215724352156 18293400368048169 18970933715012916 19561259799497052 19700585011744182 20458299819888189 21710848788452772 22821469766079894 23520086187490503 24391200490730892 25329323586528234 27277733093184252 28456400572519374 29550877517616273 31360114916654004 34232204649119841 36586800736096338 37993985379792351 39401170023488364 40916599639776378 42684600858779061 45642939532159788 47040172374981006 50658647173056468 54880201104144507 56912801145038748 59101755035232546 68464409298239682 70560258562471509 73173601472192676 75987970759584702 81833199279552756 85369201717558122 88652632552848819 94080344749962012 109760402208289014 118203510070465092 128053802576337183 136928818596479364 141120517124943018 151975941519169404 164640603312433521 170738403435116244 177305265105697638 219520804416578028 256107605152674366 265957897658546457 282241034249886036 329281206624867042 354610530211395276 384161407729011549 493921809937300563 512215210305348732 531915795317092914 658562413249734084 768322815458023098 987843619874601126 1063831590634185828 1152484223187034647 1536645630916046196 1975687239749202252 2304968446374069294 3457452669561103941 4609936892748138588 6914905339122207882 13829810678244415764
- Sum of all divisors σ(n): 46197978650575761114
- Sum of proper divisors (its aliquot sum) s(n): 32368167972331345350
- 13829810678244415764 is an abundant number, because the sum of its proper divisors (32368167972331345350) is greater than itself. Its abundance is 18538357294086929586
Bases of 13829810678244415764
- Binary: 10111111111011010101101110001001110100111010100110011001000101002
- Hexadecimal: 0xBFED5B89D3A99914
- Base-36: 2X2LUQCW8KT90
Squares and roots of 13829810678244415764
- 13829810678244415764 squared (138298106782444157642) is 191263663396083267169737195049691703696
- 13829810678244415764 cubed (138298106782444157643) is 2645140254395297966095550824904902498590240281611319463744
-
The
square root of 13829810678244415764 is 3718845342.0711670899 -
The
cube root of 13829810678244415764 is 2400336.2189985683
Scales and comparisons
How big is 13829810678244415764?- 13,829,810,678,244,415,764 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,829,810,678,244,415,764 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13829810678244415764 cubic inches would be around 200028 feet tall.
Recreational maths with 13829810678244415764
- 13829810678244415764 backwards is 46751444287601892831
- The number of decimal digits it has is: 20
- The sum of 13829810678244415764's digits is 90
- More coming soon!
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"Number 13829810678244415764 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 13829810678244415764 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/13829810678244415764/
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Numbermatics. 2024. "Number 13829810678244415764 - Facts about the integer". https://numbermatics.com/n/13829810678244415764/
The information we have on file for 13829810678244415764 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!
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