13828024402820800
13,828,024,402,820,800 is an even composite number composed of six prime numbers multiplied together.
13828024402820800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 13828024402820800:
26 × 52 × 19 × 312 × 474 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 31 × 31 × 47 × 47 × 47 × 47 × 97)See below for interesting mathematical facts about the number 13828024402820800 from the Numbermatics database.
Names of 13828024402820800
- Cardinal: 13828024402820800 can be written as Thirteen quadrillion, eight hundred twenty-eight trillion, twenty-four billion, four hundred two million, eight hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38280244028208 × 1016
Factors of 13828024402820800
Divisors of 13828024402820800
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 31 32 38 40 47 50 62 64 76 80 94 95 97 100 124 152 155 160 188 190 194 200 235 248 304 310 320 376 380 388 400 470 475 485 496 589 608 620 752 760 775 776 800 893 940 950 961 970 992 1175 1178 1216 1240 1457 1504 1520 1550 1552 1600 1786 1843 1880 1900 1922 1940 1984 2209 2350 2356 2425 2480 2914 2945 3007 3008 3040 3100 3104 3572 3686 3760 3800 3844 3880 4418 4465 4559 4700 4712 4805 4850 4960 5828 5890 6014 6080 6200 6208 7144 7285 7372 7520 7600 7688 7760 8836 8930 9118 9215 9400 9424 9610 9700 9920 11045 11656 11780 12028 12400 14288 14570 14725 14744 15035 15040 15200 15376 15520 17672 17860 18236 18259 18430 18800 18848 19220 19400 22090 22325 22795 23312 23560 24025 24056 24800 27683 28576 29140 29450 29488 30070 30400 30752 31040 35344 35720 36425 36472 36518 36860 37600 37696 38440 38800 41971 44180 44650 45167 45590 46075 46624 47120 48050 48112 49600 55225 55366 57133 57152 58280 58900 58976 60140 61504 68479 70688 71440 72850 72944 73036 73720 75175 75200 76880 77600 83942 86621 88360 89300 90334 91180 91295 92150 93217 93248 94240 96100 96224 103823 110450 110732 113975 114266 116560 117800 117952 120280 136958 138415 141329 141376 142880 145700 145888 146072 147440 150350 153760 155200 167884 173242 176720 178600 180668 182360 182590 184300 186434 188480 192200 192448 207646 209855 214273 220900 221464 225835 227950 228532 233120 235600 240560 273916 276830 282658 285665 285760 291400 291776 292144 294880 300700 307520 335768 342395 346484 353440 357200 361336 364720 365180 368600 372868 384400 415292 419710 428546 433105 441800 442928 451670 455900 456475 457064 466085 466240 471200 481120 519115 547832 553660 565316 571330 582800 584288 589760 601400 671536 684790 692075 692968 706645 706880 714400 722672 729440 730360 737200 745736 768800 830584 839420 857092 858173 866210 883600 885856 903340 911800 912950 914128 932170 942400 962240 1038230 1049275 1071365 1095664 1107320 1129175 1130632 1142660 1165600 1168576 1202800 1301101 1343072 1369580 1384150 1385936 1413290 1428325 1428800 1445344 1458880 1460720 1474400 1491472 1537600 1661168 1678840 1711975 1714184 1716346 1732420 1767200 1771123 1771712 1806680 1823600 1825900 1828256 1864340 1972637 2076460 2098550 2122849 2142730 2165525 2191328 2214640 2258350 2261264 2285320 2330425 2331200 2405600 2595575 2602202 2685251 2686144 2739160 2768300 2771872 2826580 2856650 2890688 2921440 2948800 2982944 3218513 3322336 3357680 3423950 3428368 3432692 3464840 3533225 3534400 3542246 3613360 3647200 3651800 3656512 3728680 3945274 4071187 4152920 4197100 4245698 4285460 4290865 4331050 4381199 4382656 4429280 4516700 4522528 4570640 4660850 4811200 4879681 5191150 5204404 5356825 5370502 5478320 5536600 5543744 5653160 5713300 5842880 5965888 6437026 6505505 6642463 6644672 6715360 6847900 6856736 6865384 6929680 7066450 7084492 7226720 7294400 7303600 7457360 7890548 8142374 8305840 8394200 8491396 8570920 8581730 8662100 8762398 8855615 8858560 9033400 9045056 9141280 9321700 9759362 9863185 10070831 10382300 10408808 10614245 10713650 10741004 10956640 11073200 11306320 11426600 12874052 13011010 13284926 13426255 13430720 13695800 13713472 13730768 13859360 14132900 14168984 14453440 14607200 14914720 15781096 16092565 16284748 16611680 16788400 16982792 17141840 17163460 17324200 17524796 17711230 18066800 18282560 18643400 19518724 19726370 20141662 20355935 20764600 20817616 21228490 21427300 21454325 21482008 21905995 21913280 22146400 22612640 22853200 24398405 25748104 26022020 26569852 26852510 27391600 27461536 27718720 28265800 28337968 29214400 29829440 31562192 32185130 32527525 32569496 33212315 33223360 33576800 33965584 34283680 34326920 34648400 35049592 35422460 36133600 37286800 39037448 39452740 40283324 40334131 40711870 41529200 41635232 42456980 42854600 42908650 42964016 43811990 44278075 44292800 45225280 45706400 48796810 49315925 50354155 51496208 52044040 53071225 53139704 53705020 54783200 54923072 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24975660880 25241359400 26637689920 28741321090 29346401534 29658597295 29668460480 30254022200 30293059648 30331266512 30615326240 31219576100 31299285656 31927648960 32267304800 32946616480 33297112400 35973008332 37085575600 37514987528 37866324560 37914083140 38269157800 38712274364 39124107070 39909561200 40386175040 41183270600 44966260415 45986113744 46893734410 47332905700 47392603925 47453755672 48390342955 48406435520 48921397600 49951321760 50482718800 57482642180 58692803068 59317194590 60508044400 60662533024 61230652480 62439152200 62598571312 64534609600 65893232960 66594224800 71853302725 71946016664 73366003835 74171151200 75029975056 75732649120 75828166280 76538315600 77424548728 78248214140 79819122400 82366541200 89098095379 89932520830 91972227488 93787468820 94665811400 94785207850 94907511344 96780685910 97810267675 97842795200 99902643520 100965437600 114965284360 117234336025 117385606136 118634389180 121016088800 121325066048 124878304400 125197142624 133188449600 143706605450 143892033328 146732007670 148292986475 148342302400 150059950112 151465298240 151656332560 153076631200 154849097456 156496428280 159638244800 164733082400 178196190758 179865041660 183883303229 183944454976 187574937640 189331622800 189570415700 189815022688 193561371820 195620535350 201930875200 224831302075 229930568720 234468672050 234771212272 237268778360 241951714775 242032177600 249756608800 250394285248 278790814573 287413210900 287784066656 293464015340 296585972950 300119900224 303312665120 306153262400 309698194912 312992856560 329466164800 356392381516 359730083320 366830019175 367766606458 375149875280 378663245600 379140831400 379630045376 387122743640 391241070700 445490476895 449662604150 454869223777 459861137440 468937344100 469542424544 474537556720 483903429550 499513217600 557581629146 574826421800 575568133312 586928030680 593171945900 606625330240 619396389824 625985713120 712784763032 719460166640 733660038350 735533212916 750299750560 757326491200 758281662800 774245487280 782482141400 890980953790 899325208300 909738447554 919416516145 919722274880 937874688200 939084849088 949075113440 967806859100 1115163258292 1149652843600 1173856061360 1186343891800 1251971426240 1393954072865 1425569526064 1438920333280 1467320076700 1471066425832 1500599501120 1516563325600 1548490974560 1564964282800 1781961907580 1798650416600 1819476895108 1838833032290 1875749376400 1898150226880 1935613718200 2227452384475 2230326516584 2274346118885 2299305687200 2347712122720 2372687783600 2787908145730 2851139052128 2877840666560 2934640153400 2942132851664 3033126651200 3096981949120 3129928565600 3563923815160 3597300833200 3638953790216 3677666064580 3751498752800 3871227436400 4454904768950 4460653033168 4548692237770 4597082580725 4598611374400 4695424245440 4745375567200 5575816291460 5702278104256 5869280306800 5884265703328 6259857131200 6969770364325 7127847630320 7194601666400 7277907580432 7355332129160 7502997505600 7742454872800 8642515251763 8909809537900 8921306066336 9097384475540 9194165161450 9490751134400 11151632582920 11371730594425 11738560613600 11768531406656 13939540728650 14255695260640 14389203332800 14555815160864 14710664258320 15484909745600 17285030503526 17819619075800 17842612132672 18194768951080 18388330322900 22303265165840 22743461188850 23477121227200 27879081457300 28511390521280 29111630321728 29421328516640 34570061007052 35639238151600 36389537902160 36776660645800 43212576258815 44606530331680 45486922377700 55758162914600 58842657033280 69140122014104 71278476303200 72779075804320 73553321291600 86425152517630 89213060663360 90973844755400 111516325829200 138280244028208 142556952606400 145558151608640 147106642583200 172850305035260 181947689510800 216062881294075 223032651658400 276560488056416 294213285166400 345700610070520 363895379021600 432125762588150 446065303316800 553120976112832 691401220141040 727790758043200 864251525176300 1382802440282080 1728503050352600 2765604880564160 3457006100705200 6914012201410400 13828024402820800
- Sum of all divisors σ(n): 38203415400417960
- Sum of proper divisors (its aliquot sum) s(n): 24375390997597160
- 13828024402820800 is an abundant number, because the sum of its proper divisors (24375390997597160) is greater than itself. Its abundance is 10547366594776360
Bases of 13828024402820800
- Binary: 1100010010000010000011110100100111100110111110110000002
- Hexadecimal: 0x312083D279BEC0
- Base-36: 3S5MIPOFGSG
Squares and roots of 13828024402820800
- 13828024402820800 squared (138280244028208002) is 191214258885007542462996912640000
- 13828024402820800 cubed (138280244028208003) is 2644115438029178272825186680890210107174912000000
-
The
square root of 13828024402820800 is 117592620.5287593717 -
The
cube root of 13828024402820800 is 240023.2871085635
Scales and comparisons
How big is 13828024402820800?- 13,828,024,402,820,800 seconds is equal to 439,688,403 years, 6 weeks, 2 days, 8 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,828,024,402,820,800 would take you about one billion, three hundred nineteen million, sixty-five thousand, two hundred 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 13828024402820800 cubic inches would be around 20001.9 feet tall.
Recreational maths with 13828024402820800
- 13828024402820800 backwards is 00802820442082831
- The number of decimal digits it has is: 17
- The sum of 13828024402820800's digits is 52
- More coming soon!
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Numbermatics. (2024). Number 13828024402820800 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/13828024402820800/
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The information we have on file for 13828024402820800 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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