13944806946916560
13,944,806,946,916,560 is an even composite number composed of eight prime numbers multiplied together.
13944806946916560 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 13944806946916560:
24 × 34 × 5 × 11 × 13 × 292 × 127 × 140897
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 13 × 29 × 29 × 127 × 140897)See below for interesting mathematical facts about the number 13944806946916560 from the Numbermatics database.
Names of 13944806946916560
- Cardinal: 13944806946916560 can be written as Thirteen quadrillion, nine hundred forty-four trillion, eight hundred six billion, nine hundred forty-six million, nine hundred sixteen thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.394480694691656 × 1016
Factors of 13944806946916560
Divisors of 13944806946916560
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 29 30 33 36 39 40 44 45 48 52 54 55 58 60 65 66 72 78 80 81 87 88 90 99 104 108 110 116 117 120 127 130 132 135 143 144 145 156 162 165 174 176 180 195 198 208 216 220 232 234 240 254 260 261 264 270 286 290 297 312 319 324 330 348 351 360 377 381 390 396 405 429 432 435 440 464 468 495 508 520 522 528 540 572 580 585 594 624 635 638 648 660 696 702 715 720 754 762 780 783 792 810 841 858 870 880 891 936 957 990 1016 1040 1044 1053 1080 1131 1143 1144 1160 1170 1188 1270 1276 1287 1296 1305 1320 1392 1397 1404 1430 1485 1508 1524 1560 1566 1584 1595 1620 1651 1682 1716 1740 1755 1782 1872 1885 1905 1914 1980 2032 2088 2106 2145 2160 2262 2286 2288 2320 2340 2349 2376 2523 2540 2552 2574 2610 2640 2794 2808 2860 2871 2970 3016 3048 3120 3132 3190 3240 3302 3364 3393 3429 3432 3480 3510 3564 3683 3770 3810 3828 3861 3915 3960 4147 4176 4191 4205 4212 4290 4455 4524 4572 4680 4698 4752 4785 4953 5046 5080 5104 5148 5220 5265 5588 5616 5655 5715 5720 5742 5940 6032 6096 6264 6380 6435 6480 6604 6728 6786 6858 6864 6960 6985 7020 7128 7366 7540 7569 7620 7656 7722 7830 7920 8255 8294 8382 8410 8424 8580 8613 8910 9048 9144 9251 9360 9396 9570 9906 10092 10160 10179 10287 10296 10440 10530 10933 11049 11176 11310 11430 11440 11484 11583 11745 11880 12441 12528 12573 12615 12760 12870 13208 13456 13572 13716 13970 14040 14256 14355 14732 14859 15080 15138 15240 15312 15444 15660 16510 16588 16764 16820 16848 16965 17145 17160 17226 17820 18096 18161 18288 18415 18502 18792 19140 19305 19812 20184 20358 20574 20592 20735 20880 20955 21060 21866 22098 22352 22620 22707 22860 22968 23166 23490 23760 24765 24882 25146 25230 25520 25740 25839 26416 27144 27432 27753 27940 28080 28710 29464 29718 30160 30276 30480 30537 30888 31320 32799 33020 33147 33176 33528 33640 33930 34290 34320 34452 35640 36322 36830 37004 37323 37584 37719 37845 38280 38610 39624 40368 40513 40716 41148 41470 41910 42120 43065 43732 44196 44577 45240 45414 45720 45936 46255 46332 46980 47879 49530 49764 50292 50460 50895 51435 51480 51678 54288 54483 54665 54864 55245 55506 55880 57420 57915 58928 59436 60552 61074 61776 62205 62640 62865 65598 66040 66294 66352 67056 67280 67860 68121 68580 68904 71280 72644 73660 74008 74295 74646 75438 75690 76560 77220 79248 81026 81432 82296 82940 83259 83820 84240 86130 87464 88392 89154 90480 90805 90828 91440 92510 92664 93960 95758 98397 99060 99441 99528 100584 100920 101790 102870 102960 103356 106807 108966 109330 110490 111012 111760 111969 113157 113535 114840 115830 118872 120263 121104 121539 122148 124410 125730 129195 131196 132080 132588 133731 135720 136242 137160 137808 138765 140897 143637 145288 147320 148016 148590 149292 150876 151380 152685 154440 162052 162864 163449 163995 164592 165735 165880 166518 167640 172260 174928 176784 178308 181610 181656 185020 185328 186615 187920 188595 191516 196794 198120 198882 199056 201168 201840 202565 203580 205740 206712 213614 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4223139596280 4303952761394 4371412836024 4452364925580 4469489406063 4575067895970 4623609730410 4695221194248 4857125373360 4875806624796 4966099340070 4990983159240 5282123843529 5342837910696 5417562916440 5464266045030 5490081475164 5527073700720 5869026492810 5936486567440 5959319208084 6010692649533 6094758280995 6100090527960 6164812973880 6455929142091 6501075499728 6621465786760 6678547388370 6862601843955 7042831791372 7285688060040 7320108633552 7397775568656 7449149010105 7825368657080 7945758944112 8014256866044 8126344374660 8290610551080 8446279192560 8607905522788 8742825672048 8803539739215 8904729851160 8938978812126 9150135791940 9247219460820 9390442388496 9751613249592 9932198680140 9981966318480 10017821082555 10564247687058 10685675821392 10759881903485 10835125832880 10928532090060 10980162950328 11738052985620 11918638416168 12021385299066 12189516561990 12200181055920 12329625947760 12911858284182 13242931573520 13357094776740 13408468218189 13725203687910 14085663582744 14571376120080 14898298020210 15650737314160 15846371530587 16028513732088 16252688749320 16581221102160 17215811045576 17607079478430 17809459702320 17877957624252 18300271583880 18494438921640 19367787426273 19503226499184 19864397360280 20035642165110 21128495374116 21519763806970 21857064180120 21960325900656 22347447030315 23476105971240 23837276832336 24042770598132 24379033123980 25823716568364 26410619217645 26714189553480 26816936436378 27450407375820 28171327165488 29796596040420 30053463247665 31692743061174 32057027464176 32279645710455 32505377498640 34431622091152 35214158956860 35755915248504 36600543167760 36988877843280 38735574852546 39728794720560 40071284330220 42256990748232 43039527613940 43714128360240 44694894060630 46952211942480 48085541196264 48758066247960 51647433136728 52821238435290 53428379106960 53633872872756 54900814751640 58103362278819 59593192080840 60106926495330 63385486122348 64559291420910 67042341090945 70428317913720 71511830497008 77471149705092 79231857652935 80142568660440 84513981496464 86079055227880 89389788121260 96171082392528 96838937131365 97516132495920 103294866273456 105642476870580 107267745745512 109801629503280 116206724557638 119186384161680 120213852990660 126770972244696 129118582841820 134084682181890 140856635827440 154942299410184 158463715305870 160285137320880 172158110455760 174310086836457 178779576242520 193677874262730 211284953741160 214535491491024 232413449115276 240427705981320 253541944489392 258237165683640 268169364363780 290516811394095 309884598820368 316927430611740 348620173672914 357559152485040 387355748525460 422569907482320 464826898230552 480855411962640 516474331367280 536338728727560 581033622788190 633854861223480 697240347345828 774711497050920 871550434182285 929653796461104 1072677457455120 1162067245576380 1267709722446960 1394480694691656 1549422994101840 1743100868364570 2324134491152760 2788961389383312 3486201736729140 4648268982305520 6972403473458280 13944806946916560
- Sum of all divisors σ(n): 59393723030433792
- Sum of proper divisors (its aliquot sum) s(n): 45448916083517232
- 13944806946916560 is an abundant number, because the sum of its proper divisors (45448916083517232) is greater than itself. Its abundance is 31504109136600672
Bases of 13944806946916560
- Binary: 1100011000101010111010011000001000100001001000110100002
- Hexadecimal: 0x318ABA608848D0
- Base-36: 3TB0RVFY500
Squares and roots of 13944806946916560
- 13944806946916560 squared (139448069469165602) is 194457640786772351425691602233600
- 13944806946916560 cubed (139448069469165603) is 2711674260124388086321261324103706289528828416000
-
The
square root of 13944806946916560 is 118088132.1171461327 -
The
cube root of 13944806946916560 is 240697.0876028311
Scales and comparisons
How big is 13944806946916560?- 13,944,806,946,916,560 seconds is equal to 443,401,726 years, 41 weeks, 1 day, 6 hours, 36 minutes.
-
To count from 1 to 13,944,806,946,916,560 would take you about one billion, three hundred thirty million, two hundred five thousand, one hundred eighty 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 13944806946916560 cubic inches would be around 20058.1 feet tall.
Recreational maths with 13944806946916560
- 13944806946916560 backwards is 06561964960844931
- 13944806946916560 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13944806946916560's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 13944806946916560 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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Numbermatics. (2024). Number 13944806946916560 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/13944806946916560/
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The information we have on file for 13944806946916560 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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