13831166941744768
13,831,166,941,744,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 13831166941744768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
13831166941744768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13831166941744768:
27 × 74 × 112 × 192 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 11 × 11 × 19 × 19 × 101 × 101 × 101)See below for interesting mathematical facts about the number 13831166941744768 from the Numbermatics database.
Names of 13831166941744768
- Cardinal: 13831166941744768 can be written as Thirteen quadrillion, eight hundred thirty-one trillion, one hundred sixty-six billion, nine hundred forty-one million, seven hundred forty-four thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3831166941744768 × 1016
Factors of 13831166941744768
Divisors of 13831166941744768
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 11 14 16 19 22 28 32 38 44 49 56 64 76 77 88 98 101 112 121 128 133 152 154 176 196 202 209 224 242 266 304 308 343 352 361 392 404 418 448 484 532 539 608 616 686 704 707 722 784 808 836 847 896 931 968 1064 1078 1111 1216 1232 1372 1408 1414 1444 1463 1568 1616 1672 1694 1862 1919 1936 2128 2156 2222 2299 2401 2432 2464 2527 2744 2828 2888 2926 3136 3232 3344 3388 3724 3773 3838 3872 3971 4256 4312 4444 4598 4802 4928 4949 5054 5488 5656 5776 5852 5929 6272 6464 6517 6688 6776 7448 7546 7676 7744 7777 7942 8512 8624 8888 9196 9604 9856 9898 10108 10201 10241 10976 11312 11552 11704 11858 12221 12928 13034 13376 13433 13552 14896 15092 15352 15488 15554 15884 16093 17024 17248 17689 17776 18392 19208 19796 20216 20402 20482 21109 21952 22624 23104 23408 23716 24442 26068 26411 26752 26866 27104 27797 29792 30184 30704 31108 31768 32186 34496 34643 35378 35552 36461 36784 38416 39592 40432 40804 40964 41503 42218 43681 43904 45248 45619 46208 46816 47432 48884 52136 52822 53732 54208 54439 55594 59584 60368 61408 62216 63536 64372 68992 69286 70756 71104 71407 71687 72922 73568 76832 79184 80864 81608 81928 83006 84436 85547 87362 90496 91238 93632 94031 94864 97768 104272 105644 107464 108416 108878 111188 112211 112651 119168 120736 122816 123823 124432 127072 128744 138572 141512 142208 142814 143374 145844 147136 147763 153664 158368 161728 163216 163856 166012 168872 171094 174724 182476 187264 188062 189728 193819 194579 195536 208544 211288 214928 217756 222376 224422 225302 232199 241472 242501 245632 247646 248864 254144 255227 257488 277144 283024 285628 286748 290521 291688 294272 295526 305767 307328 316736 323456 326432 327712 332024 337744 342188 349448 364952 376124 379456 381073 387638 389158 391072 401071 417088 422576 429856 435512 444752 448844 450604 464398 482944 485002 495292 497728 499849 501809 508288 510454 514976 554288 566048 571256 573496 581042 583376 591052 598829 611534 633472 652864 655424 658217 664048 675488 684376 698896 729904 752248 758912 762146 775276 778316 782144 785477 788557 802142 834176 845152 859712 866761 871024 889504 897688 901208 928796 970004 990584 995456 999698 1003618 1020908 1029952 1030301 1034341 1108576 1132096 1142512 1146992 1162084 1166752 1182104 1197658 1223068 1234321 1305728 1310848 1316434 1328096 1350976 1356733 1362053 1368752 1397792 1459808 1504496 1524292 1550552 1556632 1564288 1570954 1577114 1604284 1625393 1690304 1719424 1733522 1742048 1779008 1786589 1795376 1802416 1857592 1940008 1981168 1999396 2007236 2041816 2059904 2060602 2068682 2132009 2140369 2217152 2264192 2285024 2293984 2324168 2333504 2364208 2395316 2446136 2468642 2632868 2656192 2667511 2701952 2713466 2724106 2737504 2795584 2807497 2919616 3008992 3048584 3101104 3113264 3141908 3154228 3208568 3250786 3380608 3467044 3484096 3498943 3558016 3573178 3590752 3604832 3682561 3715184 3880016 3962336 3998792 4014472 4083632 4121204 4137364 4191803 4264018 4280738 4411781 4434304 4570048 4587968 4607519 4648336 4667008 4728416 4790632 4892272 4937284 5265736 5312384 5335022 5426932 5448212 5475008 5498339 5519899 5591168 5614994 5839232 6017984 6097168 6202208 6226528 6283816 6308456 6417136 6501572 6934088 6968192 6997886 7146356 7181504 7209664 7212107 7240387 7365122 7430368 7760032 7924672 7997584 8028944 8167264 8242408 8274728 8383606 8528036 8561476 8640247 8823562 9140096 9175936 9215038 9296672 9456832 9497131 9534371 9581264 9784544 9874568 10531472 10670044 10853864 10896424 10950016 10996678 11039798 11229988 11333311 11377751 12035968 12194336 12404416 12453056 12506123 12567632 12616912 12834272 13003144 13868176 13995772 14292712 14363008 14419328 14424214 14480774 14730244 14860736 14924063 14982583 15520064 15849344 15995168 16057888 16334528 16484816 16549456 16767212 17056072 17122952 17280494 17647124 18430076 18593344 18913664 18994262 19068742 19162528 19569088 19575719 19652479 19749136 21062944 21340088 21707728 21792848 21993356 22079596 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1741521901504 1778470739584 1786049450122 1801871670368 1832913721408 1857031007216 2041199371568 2068057258036 2122321151104 2139722608562 2205224321069 2332799281792 2363494009184 2394592614568 2445397266928 2520256366936 2736677273792 2794739733632 2806649135906 2880292990784 3008083284416 3112323794272 3207599012464 3249804262628 3483043803008 3572098900244 3603743340736 3665827442816 3714062014432 4082398743136 4136114516072 4279445217124 4410448642138 4726988018368 4789185229136 4890794533856 5040512733872 5473354547584 5613298271812 5687157459599 5760585981568 6016166568832 6224647588544 6415198024928 6499608525256 7144197800488 7207486681472 7428124028864 8164797486272 8272229032144 8558890434248 8820897284276 9453976036736 9578370458272 9781589067712 9823271975671 10081025467744 11226596543624 11374314919198 12449295177088 12830396049856 12999217050512 14288395600976 14856248057728 15436570247483 16329594972544 16544458064288 17117780868496 17641794568552 19156740916544 19563178135424 19646543951342 20162050935488 22453193087248 22748629838396 25660792099712 25998434101024 28576791201952 30873140494966 33088916128576 34235561736992 35283589137104 38313481833088 39293087902684 40324101870976 44906386174496 45497259676792 51996868202048 57153582403904 61746280989932 66177832257152 68471123473984 70567178274208 78586175805368 89812772348992 90994519353584 103993736404096 108055991732381 114307164807808 123492561979864 136942246947968 141134356548416 157172351610736 179625544697984 181989038707168 216111983464762 246985123959728 282268713096832 314344703221472 363978077414336 432223966929524 493970247919456 628689406442944 727956154828672 864447933859048 987940495838912 1257378812885888 1728895867718096 1975880991677824 3457791735436192 6915583470872384 13831166941744768
- Sum of all divisors σ(n): 37663042199543460
- Sum of proper divisors (its aliquot sum) s(n): 23831875257798692
- 13831166941744768 is an abundant number, because the sum of its proper divisors (23831875257798692) is greater than itself. Its abundance is 10000708316053924
Bases of 13831166941744768
- Binary: 1100010010001101011111100000000110010001001110100000002
- Hexadecimal: 0x31235F80644E80
- Base-36: 3S6QMDIYT8G
Squares and roots of 13831166941744768
- 13831166941744768 squared (138311669417447682) is 191301178970413318562184055373824
- 13831166941744768 cubed (138311669417447683) is 2645918542492380105262818545882668600105036152832
-
The
square root of 13831166941744768 is 117605981.7430421691 -
The
cube root of 13831166941744768 is 240041.4681918611
Scales and comparisons
How big is 13831166941744768?- 13,831,166,941,744,768 seconds is equal to 439,788,326 years, 7 weeks, 1 day, 15 hours, 19 minutes, 28 seconds.
-
To count from 1 to 13,831,166,941,744,768 would take you about one billion, three hundred nineteen million, three hundred sixty-four thousand, nine hundred seventy-eight 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 13831166941744768 cubic inches would be around 20003.5 feet tall.
Recreational maths with 13831166941744768
- 13831166941744768 backwards is 86744714966113831
- The number of decimal digits it has is: 17
- The sum of 13831166941744768's digits is 79
- More coming soon!
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"Number 13831166941744768 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 13831166941744768 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/13831166941744768/
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Numbermatics. 2024. "Number 13831166941744768 - Facts about the integer". https://numbermatics.com/n/13831166941744768/
The information we have on file for 13831166941744768 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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