13993676436150604800
13,993,676,436,150,604,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13993676436150604800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 660 divisors.
13993676436150604800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred sixty divisors.
Prime factorization of 13993676436150604800:
210 × 34 × 52 × 31 × 217693343603
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 217693343603)See below for interesting mathematical facts about the number 13993676436150604800 from the Numbermatics database.
Names of 13993676436150604800
- Cardinal: 13993676436150604800 can be written as Thirteen quintillion, nine hundred ninety-three quadrillion, six hundred seventy-six trillion, four hundred thirty-six billion, one hundred fifty million, six hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39936764361506048 × 1019
Factors of 13993676436150604800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 217693343644
Divisors of 13993676436150604800
- Number of divisors d(n): 660
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 128 135 144 150 155 160 162 180 186 192 200 216 225 240 248 256 270 279 288 300 310 320 324 360 372 384 400 405 432 450 465 480 496 512 540 558 576 600 620 640 648 675 720 744 768 775 800 810 837 864 900 930 960 992 1024 1080 1116 1152 1200 1240 1280 1296 1350 1395 1440 1488 1536 1550 1600 1620 1674 1728 1800 1860 1920 1984 2025 2160 2232 2304 2325 2400 2480 2511 2560 2592 2700 2790 2880 2976 3072 3100 3200 3240 3348 3456 3600 3720 3840 3968 4050 4185 4320 4464 4608 4650 4800 4960 5022 5120 5184 5400 5580 5760 5952 6200 6400 6480 6696 6912 6975 7200 7440 7680 7936 8100 8370 8640 8928 9216 9300 9600 9920 10044 10368 10800 11160 11520 11904 12400 12555 12800 12960 13392 13824 13950 14400 14880 15360 15872 16200 16740 17280 17856 18600 19200 19840 20088 20736 20925 21600 22320 23040 23808 24800 25110 25600 25920 26784 27648 27900 28800 29760 31744 32400 33480 34560 35712 37200 38400 39680 40176 41472 41850 43200 44640 46080 47616 49600 50220 51840 53568 55800 57600 59520 62775 64800 66960 69120 71424 74400 76800 79360 80352 82944 83700 86400 89280 95232 99200 100440 103680 107136 111600 115200 119040 125550 129600 133920 138240 142848 148800 158720 160704 167400 172800 178560 198400 200880 207360 214272 223200 230400 238080 251100 259200 267840 285696 297600 321408 334800 345600 357120 396800 401760 414720 428544 446400 476160 502200 518400 535680 595200 642816 669600 691200 714240 793600 803520 857088 892800 1004400 1036800 1071360 1190400 1285632 1339200 1428480 1607040 1785600 2008800 2073600 2142720 2380800 2571264 2678400 3214080 3571200 4017600 4285440 5356800 6428160 7142400 8035200 10713600 12856320 16070400 21427200 32140800 64281600 217693343603 435386687206 653080030809 870773374412 1088466718015 1306160061618 1741546748824 1959240092427 2176933436030 2612320123236 3265400154045 3483093497648 3918480184854 4353866872060 5224640246472 5442333590075 5877720277281 6530800308090 6748493651693 6966186995296 7836960369708 8707733744120 9796200462135 10449280492944 10884667180150 11755440554562 13061600616180 13496987303386 13932373990592 15673920739416 16327000770225 17415467488240 17633160831843 19592400924270 20245480955079 20898560985888 21769334360300 23510881109124 26123201232360 26993974606772 27864747981184 29388601386405 31347841478832 32654001540450 33742468258465 34830934976480 35266321663686 39184801848540 40490961910158 41797121971776 43538668720600 47021762218248 48981002310675 52246402464720 53987949213544 55729495962368 58777202772810 60736442865237 62695682957664 65308003080900 67484936516930 69661869952960 70532643327372 78369603697080 80981923820316 83594243943552 87077337441200 88165804159215 94043524436496 97962004621350 101227404775395 104492804929440 107975898427088 111458991924736 117554405545620 121472885730474 125391365915328 130616006161800 134969873033860 139323739905920 141065286654744 146943006932025 156739207394160 161963847640632 167188487887104 168712341292325 174154674882400 176331608318430 182209328595711 188087048872992 195924009242700 202454809550790 208985609858880 215951796854176 222917983849472 235108811091240 242945771460948 250782731830656 261232012323600 269939746067720 278647479811840 282130573309488 293886013864050 303682214326185 313478414788320 323927695281264 334376975774208 337424682584650 348309349764800 352663216636860 364418657191422 376174097745984 391848018485400 404909619101580 417971219717760 431903593708352 440829020796075 470217622182480 485891542921896 501565463661312 506137023876975 522464024647200 539879492135440 546627985787133 557294959623680 564261146618976 587772027728100 607364428652370 626956829576640 647855390562528 668753951548416 674849365169300 696618699529600 705326433273720 728837314382844 752348195491968 783696036970800 809819238203160 835942439435520 863807187416704 881658041592150 911046642978555 940435244364960 971783085843792 1003130927322624 1012274047753950 1044928049294400 1079758984270880 1093255971574266 1114589919247360 1128522293237952 1175544055456200 1214728857304740 1253913659153280 1295710781125056 1349698730338600 1393237399059200 1410652866547440 1457674628765688 1504696390983936 1518411071630925 1567392073941600 1619638476406320 1671884878871040 1727614374833408 1763316083184300 1822093285957110 1880870488729920 1943566171687584 2006261854645248 2024548095507900 2089856098588800 2159517968541760 2186511943148532 2257044586475904 2351088110912400 2429457714609480 2507827318306560 2591421562250112 2699397460677200 2733139928935665 2786474798118400 2821305733094880 2915349257531376 3009392781967872 3036822143261850 3134784147883200 3239276952812640 3343769757742080 3455228749666816 3526632166368600 3644186571914220 3761740977459840 3887132343375168 4049096191015800 4179712197177600 4319035937083520 4373023886297064 4514089172951808 4555233214892775 4702176221824800 4858915429218960 5015654636613120 5182843124500224 5398794921354400 5466279857871330 5572949596236800 5642611466189760 5830698515062752 6018785563935744 6073644286523700 6269568295766400 6478553905625280 6910457499333632 7053264332737200 7288373143828440 7523481954919680 7774264686750336 8098192382031600 8359424394355200 8638071874167040 8746047772594128 9028178345903616 9110466429785550 9404352443649600 9717830858437920 10031309273226240 10365686249000448 10797589842708800 10932559715742660 11285222932379520 11661397030125504 12147288573047400 12539136591532800 12957107811250560 13665699644678325 14106528665474400 14576746287656880 15046963909839360 15548529373500672 16196384764063200 16718848788710400 17276143748334080 17492095545188256 18056356691807232 18220932859571100 18808704887299200 19435661716875840 20731372498000896 21595179685417600 21865119431485320 22570445864759040 23322794060251008 24294577146094800 25078273183065600 25914215622501120 27331399289356650 28213057330948800 29153492575313760 30093927819678720 31097058747001344 32392769528126400 34552287496668160 34984191090376512 36441865719142200 37617409774598400 38871323433751680 43190359370835200 43730238862970640 45140891729518080 46645588120502016 48589154292189600 50156546366131200 51828431245002240 54662798578713300 56426114661897600 58306985150627520 62194117494002688 64785539056252800 69968382180753024 72883731438284400 75234819549196800 77742646867503360 86380718741670400 87460477725941280 90281783459036160 93291176241004032 97178308584379200 103656862490004480 109325597157426600 112852229323795200 116613970301255040 129571078112505600 139936764361506048 145767462876568800 150469639098393600 155485293735006720 172761437483340800 174920955451882560 186582352482008064 194356617168758400 218651194314853200 225704458647590400 233227940602510080 259142156225011200 279873528723012096 291534925753137600 310970587470013440 349841910903765120 388713234337516800 437302388629706400 451408917295180800 466455881205020160 518284312450022400 559747057446024192 583069851506275200 699683821807530240 777426468675033600 874604777259412800 932911762410040320 1166139703012550400 1399367643615060480 1554852937350067200 1749209554518825600 2332279406025100800 2798735287230120960 3498419109037651200 4664558812050201600 6996838218075302400 13993676436150604800
- Sum of all divisors σ(n): 53488452707665996416
- Sum of proper divisors (its aliquot sum) s(n): 39494776271515391616
- 13993676436150604800 is an abundant number, because the sum of its proper divisors (39494776271515391616) is greater than itself. Its abundance is 25501099835364786816
Bases of 13993676436150604800
- Binary: 11000010001100111000011010010011101101101000001011010100000000002
- Hexadecimal: 0xC2338693B682D400
- Base-36: 2YBFCAMU9FK00
Squares and roots of 13993676436150604800
- 13993676436150604800 squared (139936764361506048002) is 195822980199676691777839667405783040000
- 13993676436150604800 cubed (139936764361506048003) is 2740283423677002177318366168992246564518159913582592000000
-
The
square root of 13993676436150604800 is 3740812269.5680151975 -
The
cube root of 13993676436150604800 is 2409779.3359913349
Scales and comparisons
How big is 13993676436150604800?- 13,993,676,436,150,604,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,993,676,436,150,604,800 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 13993676436150604800 cubic inches would be around 200814.9 feet tall.
Recreational maths with 13993676436150604800
- 13993676436150604800 backwards is 00840605163467639931
- 13993676436150604800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13993676436150604800's digits is 81
- More coming soon!
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The information we have on file for 13993676436150604800 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 13993676436150604800, math, Factors of 13993676436150604800, curriculum, school, college, exams, university, Prime factorization of 13993676436150604800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, nine hundred ninety-three quadrillion, six hundred seventy-six trillion, four hundred thirty-six billion, one hundred fifty million, six hundred four thousand, eight hundred.