12735013013632
12,735,013,013,632 is an even composite number composed of five prime numbers multiplied together.
12735013013632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 12735013013632:
27 × 73 × 13 × 232 × 42179
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 13 × 23 × 23 × 42179)See below for interesting mathematical facts about the number 12735013013632 from the Numbermatics database.
Names of 12735013013632
- Cardinal: 12735013013632 can be written as Twelve trillion, seven hundred thirty-five billion, thirteen million, thirteen thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.2735013013632 × 1013
Factors of 12735013013632
Divisors of 12735013013632
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 46 49 52 56 64 91 92 98 104 112 128 161 182 184 196 208 224 299 322 343 364 368 392 416 448 529 598 637 644 686 728 736 784 832 896 1058 1127 1196 1274 1288 1372 1456 1472 1568 1664 2093 2116 2254 2392 2548 2576 2744 2912 2944 3136 3703 4186 4232 4459 4508 4784 5096 5152 5488 5824 6272 6877 7406 7889 8372 8464 8918 9016 9568 10192 10304 10976 11648 13754 14651 14812 15778 16744 16928 17836 18032 19136 20384 20608 21952 25921 27508 29302 29624 31556 33488 33856 35672 36064 38272 40768 42179 43904 48139 51842 55016 58604 59248 63112 66976 67712 71344 72128 81536 84358 96278 102557 103684 110032 117208 118496 126224 133952 142688 144256 168716 181447 192556 205114 207368 220064 234416 236992 252448 267904 285376 295253 336973 337432 362894 385112 410228 414736 440128 468832 473984 504896 548327 570752 590506 673946 674864 725788 770224 820456 829472 880256 937664 970117 1009792 1096654 1181012 1347892 1349728 1451576 1540448 1640912 1658944 1875328 1940234 2066771 2193308 2358811 2362024 2695784 2699456 2903152 3080896 3281824 3317888 3838289 3880468 4133542 4386616 4717622 4724048 5391568 5398912 5806304 6161792 6563648 6790819 7676578 7760936 8267084 8773232 9435244 9448096 10783136 11612608 12611521 13127296 13581638 14467397 15353156 15521872 16534168 17546464 18870488 18896192 21566272 22312691 23225216 25223042 26868023 27163276 28934794 30706312 31043744 33068336 35092928 37740976 37792384 43132544 44625382 47535733 50446084 53736046 54326552 57869588 61412624 62087488 66136672 70185856 75481952 88280647 89250764 95071466 100892168 107472092 108653104 115739176 122825248 124174976 132273344 150963904 156188837 176561294 178501528 188076161 190142932 201784336 214944184 217306208 231478352 245650496 264546688 290064983 301927808 312377674 332750131 353122588 357003056 376152322 380285864 403568672 429888368 434612416 462956704 491300992 580129966 617964529 624755348 665500262 706245176 714006112 752304644 760571728 807137344 859776736 869224832 925913408 1093321859 1160259932 1235929058 1249510696 1331000524 1412490352 1428012224 1504609288 1521143456 1614274688 1719553472 1851826816 2030454881 2186643718 2320519864 2471858116 2499021392 2662001048 2824980704 2856024448 3009218576 3042286912 3439106944 4060909762 4325751703 4373287436 4641039728 4943716232 4998042784 5324002096 5649961408 6018437152 6084573824 7653253013 8121819524 8651503406 8746574872 9282079456 9887432464 9996085568 10648004192 11299922816 12036874304 14213184167 15306506026 16243639048 17303006812 17493149744 18564158912 19774864928 19992171136 21296008384 24073748608 28426368334 30613012052 32487278096 34606013624 34986299488 37128317824 39549729856 42592016768 56852736668 61226024104 64974556192 69212027248 69972598976 79099459712 99492289169 113705473336 122452048208 129949112384 138424054496 139945197952 198984578338 227410946672 244904096416 259898224768 276848108992 397969156676 454821893344 489808192832 553696217984 795938313352 909643786688 979616385664 1591876626704 1819287573376 3183753253408 6367506506816 12735013013632
- Sum of all divisors σ(n): 33308871120000
- Sum of proper divisors (its aliquot sum) s(n): 20573858106368
- 12735013013632 is an abundant number, because the sum of its proper divisors (20573858106368) is greater than itself. Its abundance is 7838845092736
Bases of 12735013013632
- Binary: 101110010101000110011110110101001000100000002
- Hexadecimal: 0xB9519ED4880
- Base-36: 4IIDTXU9S
Squares and roots of 12735013013632
- 12735013013632 squared (127350130136322) is 162180556457376394617831424
- 12735013013632 cubed (127350130136323) is 2065371497042767676978168227878789971968
-
The
square root of 12735013013632 is 3568614.9993564731 -
The
cube root of 12735013013632 is 23352.4865722983
Scales and comparisons
How big is 12735013013632?- 12,735,013,013,632 seconds is equal to 404,934 years, 1 week, 22 hours, 53 minutes, 52 seconds.
-
To count from 1 to 12,735,013,013,632 would take you about one million, twelve thousand, three hundred thirty-five 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 12735013013632 cubic inches would be around 1946 feet tall.
Recreational maths with 12735013013632
- 12735013013632 backwards is 23631031053721
- The number of decimal digits it has is: 14
- The sum of 12735013013632's digits is 37
- More coming soon!
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