12993705363945600
12,993,705,363,945,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 12993705363945600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
12993705363945600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12993705363945600:
27 × 33 × 52 × 7 × 4441 × 4837717
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 4441 × 4837717)See below for interesting mathematical facts about the number 12993705363945600 from the Numbermatics database.
Names of 12993705363945600
- Cardinal: 12993705363945600 can be written as Twelve quadrillion, nine hundred ninety-three trillion, seven hundred five billion, three hundred sixty-three million, nine hundred forty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.29937053639456 × 1016
Factors of 12993705363945600
Divisors of 12993705363945600
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 336 350 360 378 384 400 420 432 448 450 480 504 525 540 560 576 600 630 640 672 675 700 720 756 800 840 864 896 900 945 960 1008 1050 1080 1120 1152 1200 1260 1344 1350 1400 1440 1512 1575 1600 1680 1728 1800 1890 1920 2016 2100 2160 2240 2400 2520 2688 2700 2800 2880 3024 3150 3200 3360 3456 3600 3780 4032 4200 4320 4441 4480 4725 4800 5040 5400 5600 5760 6048 6300 6720 7200 7560 8064 8400 8640 8882 9450 9600 10080 10800 11200 12096 12600 13323 13440 14400 15120 16800 17280 17764 18900 20160 21600 22205 22400 24192 25200 26646 28800 30240 31087 33600 35528 37800 39969 40320 43200 44410 50400 53292 60480 62174 66615 67200 71056 75600 79938 86400 88820 93261 100800 106584 111025 119907 120960 124348 133230 142112 151200 155435 159876 177640 186522 199845 201600 213168 222050 239814 248696 266460 279783 284224 302400 310870 319752 333075 355280 373044 399690 426336 444100 466305 479628 497392 532920 559566 568448 599535 604800 621740 639504 666150 710560 746088 777175 799380 839349 852672 888200 932610 959256 994784 999225 1065840 1119132 1199070 1243480 1279008 1332300 1398915 1421120 1492176 1554350 1598760 1678698 1705344 1776400 1865220 1918512 1989568 1998450 2131680 2238264 2331525 2398140 2486960 2558016 2664600 2797830 2842240 2984352 2997675 3108700 3197520 3357396 3552800 3730440 3837024 3979136 3996900 4196745 4263360 4476528 4663050 4796280 4837717 4973920 5116032 5329200 5595660 5968704 5995350 6217400 6395040 6714792 6994575 7105600 7460880 7674048 7993800 8393490 8526720 8953056 9326100 9592560 9675434 9947840 10658400 11191320 11937408 11990700 12434800 12790080 13429584 13989150 14211200 14513151 14921760 15348096 15987600 16786980 17906112 18652200 19185120 19350868 19895680 20983725 21316800 22382640 23981400 24188585 24869600 25580160 26859168 27978300 29026302 29843520 31975200 33573960 33864019 35812224 37304400 38370240 38701736 41967450 42633600 43539453 44765280 47962800 48377170 49739200 53718336 55956600 58052604 59687040 63950400 67147920 67728038 72565755 74608800 76740480 77403472 83934900 87078906 89530560 95925600 96754340 99478400 101592057 107436672 111913200 116105208 120942925 127900800 130618359 134295840 135456076 145131510 149217600 154806944 167869800 169320095 174157812 179061120 191851200 193508680 203184114 217697265 223826400 232210416 241885850 261236718 268591680 270912152 290263020 298435200 304776171 309613888 335739600 338640190 348315624 362828775 383702400 387017360 406368228 435394530 447652800 464420832 483771700 507960285 522473436 537183360 541824304 580526040 609552342 619227776 653091795 671479200 677280380 696631248 725657550 774034720 812736456 846600475 870789060 895305600 914328513 928841664 967543400 1015920570 1044946872 1083648608 1088486325 1161052080 1219104684 1306183590 1342958400 1354560760 1393262496 1451315100 1523880855 1548069440 1625472912 1693200950 1741578120 1828657026 1857683328 1935086800 2031841140 2089893744 2167297216 2176972650 2322104160 2438209368 2539801425 2612367180 2685916800 2709121520 2786524992 2902630200 3047761710 3096138880 3250945824 3265458975 3386401900 3483156240 3657314052 3870173600 4063682280 4179787488 4334594432 4353945300 4571642565 4644208320 4876418736 5079602850 5224734360 5418243040 5573049984 5805260400 6095523420 6501891648 6530917950 6772803800 6966312480 7314628104 7619404275 7740347200 8127364560 8359574976 8707890600 9143285130 9288416640 9752837472 10159205700 10449468720 10836486080 11610520800 12191046840 13003783296 13061835900 13545607600 13932624960 14629256208 15238808550 15480694400 16254729120 16719149952 17415781200 18286570260 19505674944 20318411400 20898937440 21484301197 21672972160 22858212825 23221041600 24382093680 26123671800 27091215200 27865249920 29258512416 30477617100 32509458240 34831562400 36573140520 39011349888 40636822800 41797874880 42968602394 45716425650 46442083200 48764187360 52247343600 54182430400 58517024832 60955234200 64452903591 65018916480 69663124800 73146281040 81273645600 83595749760 85937204788 91432851300 97528374720 104494687200 107421505985 108364860800 117034049664 121910468400 128905807182 139326249600 146292562080 150390108379 162547291200 171874409576 182865702600 193358710773 195056749440 208989374400 214843011970 243820936800 257811614364 292585124160 300780216758 322264517955 325094582400 343748819152 365731405200 386717421546 417978748800 429686023940 451170325137 487641873600 515623228728 537107529925 580076132319 585170248320 601560433516 644529035910 687497638304 731462810400 751950541895 773434843092 859372047880 902340650274 966793553865 975283747200 1031246457456 1074215059850 1160152264638 1203120867032 1289058071820 1353510975411 1374995276608 1462925620800 1503901083790 1546869686184 1611322589775 1718744095760 1804681300548 1933587107730 2062492914912 2148430119700 2255851625685 2320304529276 2406241734064 2578116143640 2707021950822 2749990553216 2900380661595 2925851241600 3007802167580 3093739372368 3222645179550 3437488191520 3609362601096 3759752709475 3867174215460 4060532926233 4124985829824 4296860239400 4511703251370 4640609058552 4812483468128 4833967769325 5156232287280 5414043901644 5800761323190 6015604335160 6187478744736 6445290359100 6767554877055 6874976383040 7218725202192 7519505418950 7734348430920 8121065852466 8249971659648 8593720478800 9023406502740 9281218117104 9624966936256 9667935538650 10312464574560 10828087803288 11279258128425 11601522646380 12031208670320 12374957489472 12890580718200 13535109754110 13749952766080 14437450404384 14501903307975 15039010837900 15468696861840 16242131704932 17187440957600 18046813005480 18562436234208 19249933872512 19335871077300 20302664631165 20624929149120 21656175606576 22558516256850 23203045292760 24062417340640 24749914978944 25781161436400 27070219508220 28874900808768 29003806615950 30078021675800 30937393723680 32484263409864 33837774385275 34374881915200 36093626010960 37124872468416 38671742154600 40605329262330 41249858298240 43312351213152 45117032513700 46406090585520 48124834681280 51562322872800 54140439016440 57749801617536 58007613231900 60156043351600 61874787447360 64968526819728 67675548770550 68749763830400 72187252021920 74249744936832 77343484309200 81210658524660 86624702426304 90234065027400 92812181171040 96249669362560 101513323155825 103124645745600 108280878032880 116015226463800 120312086703200 123749574894720 129937053639456 135351097541100 144374504043840 154686968618400 162421317049320 173249404852608 180468130054800 185624362342080 203026646311650 206249291491200 216561756065760 232030452927600 240624173406400 259874107278912 270702195082200 288749008087680 309373937236800 324842634098640 360936260109600 371248724684160 406053292623300 433123512131520 464060905855200 481248346812800 519748214557824 541404390164400 618747874473600 649685268197280 721872520219200 812106585246600 866247024263040 928121811710400 1082808780328800 1299370536394560 1443745040438400 1624213170493200 1856243623420800 2165617560657600 2598741072789120 3248426340986400 4331235121315200 6496852681972800 12993705363945600
- Sum of all divisors σ(n): 54358937033337600
- Sum of proper divisors (its aliquot sum) s(n): 41365231669392000
- 12993705363945600 is an abundant number, because the sum of its proper divisors (41365231669392000) is greater than itself. Its abundance is 28371526305446400
Bases of 12993705363945600
- Binary: 1011100010100110110100110010001000100010111000100000002
- Hexadecimal: 0x2E29B4C888B880
- Base-36: 3JXVTU65UO0
Squares and roots of 12993705363945600
- 12993705363945600 squared (129937053639456002) is 168836379085028657352399759360000
- 12993705363945600 cubed (129937053639456003) is 2193810164546289578111369232508370660130816000000
-
The
square root of 12993705363945600 is 113989935.3624941749 -
The
cube root of 12993705363945600 is 235095.5118859059
Scales and comparisons
How big is 12993705363945600?- 12,993,705,363,945,600 seconds is equal to 413,159,638 years, 21 weeks.
-
To count from 1 to 12,993,705,363,945,600 would take you about one billion, two hundred thirty-nine million, four hundred seventy-eight thousand, nine hundred fifteen 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 12993705363945600 cubic inches would be around 19591.3 feet tall.
Recreational maths with 12993705363945600
- 12993705363945600 backwards is 00654936350739921
- 12993705363945600 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12993705363945600's digits is 72
- More coming soon!
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The information we have on file for 12993705363945600 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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