13728420207824
13,728,420,207,824 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13728420207824 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
13728420207824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 13728420207824:
24 × 72 × 17 × 41 × 127 × 337 × 587
(2 × 2 × 2 × 2 × 7 × 7 × 17 × 41 × 127 × 337 × 587)See below for interesting mathematical facts about the number 13728420207824 from the Numbermatics database.
Names of 13728420207824
- Cardinal: 13728420207824 can be written as Thirteen trillion, seven hundred twenty-eight billion, four hundred twenty million, two hundred seven thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.3728420207824 × 1013
Factors of 13728420207824
Divisors of 13728420207824
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 7 8 14 16 17 28 34 41 49 56 68 82 98 112 119 127 136 164 196 238 254 272 287 328 337 392 476 508 574 587 656 674 697 784 833 889 952 1016 1148 1174 1348 1394 1666 1778 1904 2009 2032 2159 2296 2348 2359 2696 2788 3332 3556 4018 4109 4318 4592 4696 4718 4879 5207 5392 5576 5729 6223 6664 7112 8036 8218 8636 9392 9436 9758 9979 10414 11152 11458 12446 13328 13817 14224 15113 16072 16436 16513 17272 18872 19516 19958 20828 22916 24067 24892 27634 28763 30226 32144 32872 33026 34153 34544 36449 37744 39032 39916 40103 41656 42799 45832 48134 49784 55268 57526 60452 65744 66052 68306 69853 72898 74549 78064 79832 80206 83312 85598 88519 91664 96268 96719 99568 105791 110536 115052 120904 132104 136612 139706 145796 149098 159664 160412 168469 171196 177038 192536 193438 197819 211582 221072 230104 234889 241808 255143 264208 273224 279412 280721 291592 298196 299593 320824 336938 342392 354076 385072 386876 395638 409139 423164 460208 469778 488971 510286 521843 546448 558824 561442 583184 596392 599186 619633 641648 673876 677033 684784 708152 727583 773752 791276 818278 846328 939556 977942 1020572 1043686 1117648 1122884 1179283 1192784 1198372 1239266 1267333 1347752 1354066 1384733 1416304 1455166 1547504 1582552 1636556 1644223 1692656 1754759 1879112 1955884 2041144 2087372 2097151 2245768 2358566 2396744 2478532 2534666 2695504 2708132 2769466 2863973 2910332 3056509 3165104 3273112 3288446 3362923 3509518 3652901 3758224 3911768 4082288 4174744 4194302 4337431 4491536 4717132 4793488 4957064 5069332 5093081 5416264 5538932 5727946 5820664 6113018 6546224 6576892 6725846 7019036 7305802 7823536 8110579 8349488 8388604 8674862 8871331 9434264 9693131 9914128 10138664 10186162 10832528 11077864 11455892 11509561 11641328 12226036 12283313 13153784 13451692 14038072 14611604 16221158 16777208 17349724 17742662 18868528 19386262 20047811 20277328 20372324 21395563 22155728 22911784 23019122 23540461 24452072 24566626 25123013 26307568 26903384 28076144 29223208 29830903 32442316 33554416 34699448 35485324 35651567 38772524 40095622 40744648 42791126 45823568 46038244 47080922 48904144 49133252 50246026 51960653 53806768 56774053 58446416 59661806 62099317 64884632 69398896 70970648 71303134 77545048 80191244 81489296 85582252 85983191 92076488 94161844 98266504 100492052 103921306 113548106 119323612 124198634 129769264 137879843 141941296 142606268 149768941 155090096 160382488 164783227 171164504 171966382 175861091 184152976 188323688 196533008 200984104 207842612 208816321 227096212 238647224 248397268 275759686 285212536 299537882 320764976 329566454 342329008 343932764 351722182 363724571 376647376 397418371 401968208 415685224 417632642 427091221 454192424 477294448 496794536 551519372 570425072 599075764 659132908 687865528 703444364 727449142 794836742 831370448 835265284 854182442 908384848 965158901 993589072 1030043533 1103038744 1198151528 1231027637 1318265816 1375731056 1406888728 1454898284 1461714247 1589673484 1670530568 1708364884 1930317802 2060087066 2206077488 2396303056 2462055274 2546071997 2636531632 2813777456 2909796568 2923428494 2989638547 3179346968 3341061136 3416729768 3860635604 4120174132 4924110548 5092143994 5819593136 5846856988 5979277094 6358693936 6756112307 6833459536 7210304731 7721271208 8240348264 9848221096 10184287988 11693713976 11958554188 13512224614 14420609462 15442542416 16480696528 17510740061 19696442192 20368575976 20927469829 23387427952 23917108376 27024449228 28841218924 35021480122 40737151952 41854939658 47834216752 50472133117 54048898456 57682437848 70042960244 83709879316 100944266234 108097796912 115364875696 122575180427 140085920488 167419758632 201888532468 245150360854 280171840976 334839517264 403777064936 490300721708 807554129872 858026262989 980601443416 1716052525978 1961202886832 3432105051956 6864210103912 13728420207824
- Sum of all divisors σ(n): 33983048945664
- Sum of proper divisors (its aliquot sum) s(n): 20254628737840
- 13728420207824 is an abundant number, because the sum of its proper divisors (20254628737840) is greater than itself. Its abundance is 6526208530016
Bases of 13728420207824
- Binary: 110001111100011001011001110000011100110100002
- Hexadecimal: 0xC7C659C1CD0
- Base-36: 4V6QYXN0W
Squares and roots of 13728420207824
- 13728420207824 squared (137284202078242) is 188469521402590359350814976
- 13728420207824 cubed (137284202078243) is 2587388786182239357090854174541691572224
-
The
square root of 13728420207824 is 3705188.2823716259 -
The
cube root of 13728420207824 is 23944.5596508687
Scales and comparisons
How big is 13728420207824?- 13,728,420,207,824 seconds is equal to 436,521 years, 15 weeks, 3 days, 9 hours, 43 minutes, 44 seconds.
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To count from 1 to 13,728,420,207,824 would take you about one million, ninety-one thousand, three hundred three 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 13728420207824 cubic inches would be around 1995.4 feet tall.
Recreational maths with 13728420207824
- 13728420207824 backwards is 42870202482731
- The number of decimal digits it has is: 14
- The sum of 13728420207824's digits is 50
- More coming soon!
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