13683840678144
13,683,840,678,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 13683840678144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13683840678144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13683840678144:
28 × 32 × 72 × 13 × 31 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 13 × 31 × 67 × 67 × 67)See below for interesting mathematical facts about the number 13683840678144 from the Numbermatics database.
Names of 13683840678144
- Cardinal: 13683840678144 can be written as Thirteen trillion, six hundred eighty-three billion, eight hundred forty million, six hundred seventy-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3683840678144 × 1013
Factors of 13683840678144
Divisors of 13683840678144
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 31 32 36 39 42 48 49 52 56 62 63 64 67 72 78 84 91 93 96 98 104 112 117 124 126 128 134 144 147 156 168 182 186 192 196 201 208 217 224 234 248 252 256 268 273 279 288 294 312 336 364 372 384 392 402 403 416 434 441 448 468 469 496 504 536 546 558 576 588 603 624 637 651 672 728 744 768 784 804 806 819 832 868 871 882 896 936 938 992 1008 1072 1092 1116 1152 1176 1206 1209 1248 1274 1302 1344 1407 1456 1488 1519 1568 1608 1612 1638 1664 1736 1742 1764 1792 1872 1876 1911 1953 1984 2016 2077 2144 2184 2232 2304 2352 2412 2418 2496 2548 2604 2613 2688 2814 2821 2912 2976 3038 3136 3216 3224 3276 3283 3328 3472 3484 3528 3627 3744 3752 3822 3906 3968 4032 4154 4221 4288 4368 4464 4489 4557 4704 4824 4836 4992 5096 5208 5226 5376 5628 5642 5733 5824 5952 6076 6097 6231 6272 6432 6448 6552 6566 6944 6968 7056 7254 7488 7504 7644 7812 7839 7936 8064 8308 8442 8463 8576 8736 8928 8978 9114 9408 9648 9672 9849 9984 10192 10416 10452 11256 11284 11466 11648 11904 12152 12194 12462 12544 12864 12896 13104 13132 13467 13671 13888 13936 14112 14508 14539 14976 15008 15288 15624 15678 16128 16616 16884 16926 17152 17472 17856 17956 18228 18291 18693 18816 19296 19344 19698 19747 20384 20832 20904 22512 22568 22932 23296 23808 24304 24388 24924 25389 25728 25792 26208 26264 26934 27001 27342 27776 27872 28224 29016 29078 29547 29952 30016 30576 31248 31356 31423 33232 33768 33852 34944 35712 35912 36456 36582 37386 37632 38592 38688 39396 39494 40401 40768 41664 41808 42679 43617 45024 45136 45864 48608 48776 49848 50778 51456 51584 52416 52528 53868 54002 54684 54873 55552 55744 56448 58032 58156 58357 59094 59241 60032 61152 62496 62712 62846 66464 67536 67704 69888 71424 71824 72912 73164 74772 77184 77376 78792 78988 80802 81003 81536 83328 83616 85358 87234 90048 90272 91728 94269 97216 97552 99696 101556 101773 103168 104832 105056 107736 108004 109368 109746 111488 112896 116064 116312 116714 118188 118482 120064 122304 124992 125424 125692 128037 130851 132928 135072 135408 139159 143648 145824 146328 149544 154368 154752 157584 157976 161604 162006 163072 166656 167232 170716 174468 175071 177723 180096 180544 183456 188538 189007 194432 195104 199392 203112 203546 209664 210112 215472 216008 218736 219492 219961 222976 232128 232624 233428 236376 236964 243009 244608 249984 250848 251384 256074 261702 265856 270144 270816 278318 282807 287296 291648 292656 299088 300763 305319 309504 315168 315952 323208 324012 334464 341432 348936 350142 355446 360192 361088 366912 377076 378014 384111 388864 390208 398784 406224 407092 408499 417477 420224 430944 432016 437472 438984 439922 464256 465248 466856 472752 473928 486018 489216 499968 501696 502768 512148 523404 525213 531712 540288 541632 556636 565614 567021 574592 583296 585312 598176 601526 610638 630336 631904 646416 648024 659883 668928 682864 697872 700284 710892 722176 733824 754152 756028 768222 780416 797568 812448 814184 816998 834954 840448 861888 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1696904846 1724274279 1745610496 1751643712 1790141376 1823539536 1827435988 1886385536 1939319824 1963811808 1970599176 2084045184 2088498272 2122183728 2127462792 2181734802 2196090624 2244356352 2252113344 2299032372 2349560556 2386855168 2425352832 2431386048 2545357269 2618415744 2627465568 2685212064 2741153982 2829578304 2836617056 2908979736 3002817792 3048304896 3065376496 3132747408 3191194188 3241848064 3294135936 3393809692 3448548558 3503287424 3580282752 3647079072 3654871976 3772771072 3878639648 3927623616 3941198352 4111730973 4168090368 4176996544 4244367456 4254925584 4363469604 4504226688 4598064744 4699121112 4850705664 4862772096 5090714538 5236831488 5254931136 5370424128 5482307964 5659156608 5673234112 5817959472 5939166961 6130752992 6265494816 6382388376 6588271872 6787619384 6897097116 7006574848 7160565504 7294158144 7309743952 7636071807 7757279296 7855247232 7882396704 8223461946 8353993088 8488734912 8509851168 8726939208 9008453376 9196129488 9398242224 9725544192 10181429076 10509862272 10740848256 10964615928 11318313216 11346468224 11635918944 11878333922 12261505984 12530989632 12764776752 13575238768 13794194232 14588316288 14619487904 15272143614 15514558592 15710494464 15764793408 16446923892 16707986176 16977469824 17019702336 17453878416 17817500883 18392258976 18796484448 20362858152 21019724544 21481696512 21929231856 22692936448 23271837888 23756667844 24523011968 25061979264 25529553504 27150477536 27588388464 29176632576 29238975808 30544287228 31029117184 31529586816 32893847784 33954939648 34039404672 34907756832 35635001766 36784517952 37592968896 40725716304 43858463712 46543675776 47513335688 49046023936 50123958528 51059107008 53452502649 54300955072 55176776928 58477951616 61088574456 63059173632 65787695568 68078809344 69815513664 71270003532 73569035904 75185937792 81451432608 87716927424 93087351552 95026671376 102118214016 106905005298 108601910144 110353553856 116955903232 122177148912 131575391136 139631027328 142540007064 147138071808 150371875584 162902865216 175433854848 190053342752 204236428032 213810010596 217203820288 220707107712 244354297824 263150782272 279262054656 285080014128 325805730432 350867709696 380106685504 427620021192 441414215424 488708595648 526301564544 570160028256 651611460864 760213371008 855240042384 977417191296 1052603129088 1140320056512 1520426742016 1710480084768 1954834382592 2280640113024 3420960169536 4561280226048 6841920339072 13683840678144
- Sum of all divisors σ(n): 51793156047360
- Sum of proper divisors (its aliquot sum) s(n): 38109315369216
- 13683840678144 is an abundant number, because the sum of its proper divisors (38109315369216) is greater than itself. Its abundance is 24425474691072
Bases of 13683840678144
- Binary: 110001110010000001000111011001111001000000002
- Hexadecimal: 0xC7204767900
- Base-36: 4UM9PFLS0
Squares and roots of 13683840678144
- 13683840678144 squared (136838406781442) is 187247495704828445799284736
- 13683840678144 cubed (136838406781443) is 2562264898606325407021265989976388009984
-
The
square root of 13683840678144 is 3699167.5655671507 -
The
cube root of 13683840678144 is 23918.6136039079
Scales and comparisons
How big is 13683840678144?- 13,683,840,678,144 seconds is equal to 435,103 years, 41 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,683,840,678,144 would take you about one million, eighty-seven thousand, seven hundred fifty-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 13683840678144 cubic inches would be around 1993.2 feet tall.
Recreational maths with 13683840678144
- 13683840678144 backwards is 44187604838631
- 13683840678144 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13683840678144's digits is 63
- More coming soon!
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The information we have on file for 13683840678144 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 13683840678144, math, Factors of 13683840678144, curriculum, school, college, exams, university, Prime factorization of 13683840678144, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, six hundred eighty-three billion, eight hundred forty million, six hundred seventy-eight thousand, one hundred forty-four.