13684033914940116
13,684,033,914,940,116 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13684033914940116 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1296 divisors.
13684033914940116 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13684033914940116:
22 × 33 × 72 × 13 × 312 × 59 × 18732
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 13 × 31 × 31 × 59 × 1873 × 1873)See below for interesting mathematical facts about the number 13684033914940116 from the Numbermatics database.
Names of 13684033914940116
- Cardinal: 13684033914940116 can be written as Thirteen quadrillion, six hundred eighty-four trillion, thirty-three billion, nine hundred fourteen million, nine hundred forty thousand, one hundred sixteen.
Scientific notation
- Scientific notation: 1.3684033914940116 × 1016
Factors of 13684033914940116
Divisors of 13684033914940116
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 49 52 54 59 62 63 78 84 91 93 98 108 117 118 124 126 147 156 177 182 186 189 196 217 234 236 252 273 279 294 351 354 364 372 378 403 413 434 441 468 531 546 558 588 637 651 702 708 756 767 806 819 826 837 868 882 961 1062 1092 1116 1209 1239 1274 1302 1323 1404 1519 1534 1593 1612 1638 1652 1674 1764 1829 1873 1911 1922 1953 2124 2301 2418 2457 2478 2548 2604 2646 2821 2883 2891 3038 3068 3186 3276 3348 3627 3658 3717 3746 3822 3844 3906 4557 4602 4836 4914 4956 5292 5369 5487 5619 5642 5733 5766 5782 5859 6076 6372 6727 6903 7254 7316 7434 7492 7644 7812 8463 8649 8673 9114 9204 9828 10738 10881 10974 11151 11238 11284 11466 11532 11564 11718 12493 12803 13111 13454 13671 13806 14508 14868 16107 16461 16857 16926 17199 17298 17346 18228 19747 20181 20709 21476 21762 21948 22302 22476 22932 23436 23777 24349 24986 25389 25606 25947 26019 26222 26908 27342 27612 32214 32922 33714 33852 34398 34596 34692 37479 37583 38409 39333 39494 40362 41013 41418 43524 44604 47089 47554 48321 48698 49383 49972 50571 50778 51212 51894 52038 52444 54684 56699 58063 59241 60543 64428 65844 67428 68796 71331 73047 74958 75166 76167 76818 78057 78666 78988 80724 82026 82836 87451 89621 91777 94178 95108 96642 97396 98766 101142 101556 103788 104076 110507 112437 112749 113398 115227 116126 117999 118482 121086 141267 142662 144963 146094 149916 150332 152334 153636 156114 157332 164052 166439 170097 170443 174189 174902 177723 179242 181629 183554 188356 193284 197532 202284 213993 219141 221014 224874 225498 226796 230454 232252 235998 236964 242172 262353 268863 275331 282534 285324 289926 292188 304668 312228 331521 332878 337311 338247 340194 340886 345681 348378 349804 353997 355446 358484 363258 367108 396893 406441 423801 427986 438282 442028 449748 450996 460908 471996 499317 510291 511329 522567 524706 533169 537726 550662 565068 579852 612157 641979 657423 663042 665756 674622 676494 680388 681772 691362 696756 707994 710892 726516 737087 754819 773549 787059 793786 806589 812882 825993 847602 855972 876564 994563 998634 1014741 1020582 1022658 1045134 1049412 1066338 1075452 1101324 1165073 1190679 1193101 1219323 1224314 1271403 1283958 1314846 1326084 1349244 1352988 1382724 1415988 1436591 1474174 1497951 1509638 1530873 1533987 1547098 1567701 1574118 1587572 1613178 1625764 1651986 1695204 1799953 1836471 1989126 1997268 2029482 2041164 2045316 2090268 2132676 2211261 2264457 2320647 2330146 2361177 2381358 2386202 2419767 2438646 2448628 2477979 2542806 2567916 2629692 2778251 2845087 2873182 2948348 2983689 2995902 3019276 3061746 3067974 3094196 3135402 3148236 3226356 3303972 3425717 3495219 3508129 3572037 3579303 3599906 3657969 3672942 3978252 4058964 4309773 4422522 4493853 4528914 4601961 4641294 4660292 4722354 4762716 4772404 4839534 4877292 4955958 5085612 5159609 5283733 5399859 5414843 5509413 5556502 5690174 5746364 5967378 5991804 6123492 6135948 6270804 6633783 6793371 6851434 6961941 6990438 7016258 7144074 7158606 7199812 7315938 7345884 8334753 8535261 8619546 8845044 8987706 9057828 9203922 9282588 9444708 9679068 9911916 10056137 10277151 10319218 10485657 10524387 10567466 10716111 10737909 10799718 10829686 10973907 11018826 11113004 11380348 11934756 12599671 12929319 13267566 13586742 13702868 13923882 13980876 14032516 14288148 14317212 14631876 15478827 15851199 16199577 16244529 16528239 16669506 17070522 17239092 17975412 18407844 19901349 20112274 20380113 20554302 20638436 20885823 20971314 21048774 21134932 21432222 21475818 21599436 21659372 21947814 22037652 23399389 23980019 24556903 25004259 25199342 25605783 25858638 26535132 27173484 27847764 30168411 30831453 30957654 31456971 31573161 31702398 32213727 32399154 32489058 33056478 33339012 34141044 36117263 36986131 37799013 38787957 39802698 40224548 40760226 41108604 41771646 41942628 42097548 42864444 42951636 43895628 44534321 45605677 46436481 46798778 47553597 47960038 48598731 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7757388840669 8174452756834 8283313507833 8354111059182 8488854785943 8590102897012 8920491469974 9008580589164 9746462902379 10343185120892 10510010687358 10740999933234 11044418010444 11318473047924 12261679135251 12531166588773 12885154345518 14239369318356 15514777681338 15765016031037 16348905513668 16566627015666 16708222118364 16977709571886 17840982939948 18100573961561 19327731518277 19492925804758 21020021374716 21481999866468 23272166522007 24523358270502 25062333177546 25770308691036 29239388707137 31029555362676 31530032062074 33133254031332 33955419143772 36201147923122 36785037405753 37593499766319 38655463036554 38985851609516 46544333044014 49046716541004 50124666355092 54301721884683 57983194554831 58478777414274 63060064124148 69816499566021 72402295846244 73570074811506 75186999532638 77310926073108 87718166121411 93088666088028 108603443769366 110355112217259 115966389109662 116957554828548 126704017730927 139632999132042 147140149623012 150373999065276 162905165654049 175436332242822 217206887538732 220710224434518 231932778219324 253408035461854 263154498364233 279265998264084 325810331308098 350872664485644 380112053192781 441420448869036 488715496962147 506816070923708 526308996728466 651620662616196 760224106385562 977430993924294 1052617993456932 1140336159578343 1520448212771124 1954861987848588 2280672319156686 3421008478735029 4561344638313372 6842016957470058 13684033914940116
- Sum of all divisors σ(n): 46727108689665600
- Sum of proper divisors (its aliquot sum) s(n): 33043074774725484
- 13684033914940116 is an abundant number, because the sum of its proper divisors (33043074774725484) is greater than itself. Its abundance is 19359040859785368
Bases of 13684033914940116
- Binary: 1100001001110110001110011011001001100000101010110101002
- Hexadecimal: 0x309D8E6C982AD4
- Base-36: 3QQL2E9O3X0
Squares and roots of 13684033914940116
- 13684033914940116 squared (136840339149401162) is 187252784185231317851071866093456
- 13684033914940116 cubed (136840339149401163) is 2562373449457667549866063942486996875931099480896
-
The
square root of 13684033914940116 is 116978775.4891463889 -
The
cube root of 13684033914940116 is 239187.2619253505
Scales and comparisons
How big is 13684033914940116?- 13,684,033,914,940,116 seconds is equal to 435,109,950 years, 51 weeks, 6 days, 15 hours, 48 minutes, 36 seconds.
-
To count from 1 to 13,684,033,914,940,116 would take you about one billion, three hundred five million, three hundred twenty-nine thousand, eight hundred fifty-two 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 13684033914940116 cubic inches would be around 19932.3 feet tall.
Recreational maths with 13684033914940116
- 13684033914940116 backwards is 61104941933048631
- 13684033914940116 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13684033914940116's digits is 63
- More coming soon!
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"Number 13684033914940116 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13684033914940116 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13684033914940116/
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The information we have on file for 13684033914940116 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 13684033914940116, math, Factors of 13684033914940116, curriculum, school, college, exams, university, Prime factorization of 13684033914940116, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred eighty-four trillion, thirty-three billion, nine hundred fourteen million, nine hundred forty thousand, one hundred sixteen.