13986718434628800
13,986,718,434,628,800 is an even composite number composed of six prime numbers multiplied together.
13986718434628800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13986718434628800:
26 × 3 × 52 × 7 × 1619 × 257116357
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 1619 × 257116357)See below for interesting mathematical facts about the number 13986718434628800 from the Numbermatics database.
Names of 13986718434628800
- Cardinal: 13986718434628800 can be written as Thirteen quadrillion, nine hundred eighty-six trillion, seven hundred eighteen billion, four hundred thirty-four million, six hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39867184346288 × 1016
Factors of 13986718434628800
Divisors of 13986718434628800
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 400 420 448 480 525 560 600 672 700 800 840 960 1050 1120 1200 1344 1400 1600 1619 1680 2100 2240 2400 2800 3238 3360 4200 4800 4857 5600 6476 6720 8095 8400 9714 11200 11333 12952 16190 16800 19428 22666 24285 25904 32380 33600 33999 38856 40475 45332 48570 51808 56665 64760 67998 77712 80950 90664 97140 103616 113330 121425 129520 135996 155424 161900 169995 181328 194280 226660 242850 259040 271992 283325 310848 323800 339990 362656 388560 453320 485700 518080 543984 566650 647600 679980 725312 777120 849975 906640 971400 1087968 1133300 1295200 1359960 1554240 1699950 1813280 1942800 2175936 2266600 2590400 2719920 3399900 3626560 3885600 4533200 5439840 6799800 7771200 9066400 10879680 13599600 18132800 27199200 54398400 257116357 514232714 771349071 1028465428 1285581785 1542698142 1799814499 2056930856 2571163570 3085396284 3599628998 3856745355 4113861712 5142327140 5399443497 6170792568 6427908925 7199257996 7713490710 8227723424 8999072495 10284654280 10798886994 12341585136 12855817850 14398515992 15426981420 16455446848 17998144990 19283726775 20569308560 21597773988 24683170272 25711635700 26997217485 28797031984 30853962840 35996289980 38567453550 41138617120 43195547976 44995362475 49366340544 51423271400 53994434970 57594063968 61707925680 71992579960 77134907100 82277234240 86391095952 89990724950 102846542800 107988869940 115188127936 123415851360 134986087425 143985159920 154269814200 172782191904 179981449900 205693085600 215977739880 246831702720 269972174850 287970319840 308539628400 345564383808 359962899800 411386171200 416271381983 431955479760 539944349700 575940639680 617079256800 719925799600 832542763966 863910959520 1079888699400 1234158513600 1248814145949 1439851599200 1665085527932 1727821919040 2081356909915 2159777398800 2497628291898 2879703198400 2913899673881 3330171055864 4162713819830 4319554797600 4995256583796 5827799347762 6244070729745 6660342111728 8325427639660 8639109595200 8741699021643 9990513167592 10406784549575 11655598695524 12488141459490 13320684223456 14569498369405 16650855279320 17483398043286 19981026335184 20813569099150 23311197391048 24976282918980 26641368446912 29138996738810 31220353648725 33301710558640 34966796086572 39962052670368 41627138198300 43708495108215 46622394782096 49952565837960 58277993477620 62440707297450 66603421117280 69933592173144 72847491847025 79924105340736 83254276396600 87416990216430 93244789564192 99905131675920 116555986955240 124881414594900 133206842234560 139867184346288 145694983694050 166508552793200 174833980432860 186489579128384 199810263351840 218542475541075 233111973910480 249762829189800 279734368692576 291389967388100 333017105586400 349667960865720 399620526703680 437084951082150 466223947820960 499525658379600 559468737385152 582779934776200 666034211172800 699335921731440 874169902164300 932447895641920 999051316759200 1165559869552400 1398671843462880 1748339804328600 1998102633518400 2331119739104800 2797343686925760 3496679608657200 4662239478209600 6993359217314400 13986718434628800
- Sum of all divisors σ(n): 52475926538960640
- Sum of proper divisors (its aliquot sum) s(n): 38489208104331840
- 13986718434628800 is an abundant number, because the sum of its proper divisors (38489208104331840) is greater than itself. Its abundance is 24502489669703040
Bases of 13986718434628800
- Binary: 1100011011000011011000101001111101111010010100110000002
- Hexadecimal: 0x31B0D8A7DE94C0
- Base-36: 3TPVLQTLY2O
Squares and roots of 13986718434628800
- 13986718434628800 squared (139867184346288002) is 195628292569585109458993789440000
- 13986718434628800 cubed (139867184346288003) is 2736197846017972348569771318679777831759872000000
-
The
square root of 13986718434628800 is 118265457.4870820005 -
The
cube root of 13986718434628800 is 240937.9869175937
Scales and comparisons
How big is 13986718434628800?- 13,986,718,434,628,800 seconds is equal to 444,734,382 years, 23 weeks, 6 days, 14 hours, 40 minutes.
-
To count from 1 to 13,986,718,434,628,800 would take you about one billion, three hundred thirty-four million, two hundred three thousand, one hundred forty-seven 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 13986718434628800 cubic inches would be around 20078.2 feet tall.
Recreational maths with 13986718434628800
- 13986718434628800 backwards is 00882643481768931
- The number of decimal digits it has is: 17
- The sum of 13986718434628800's digits is 78
- More coming soon!
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