12831284208960
12,831,284,208,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 12831284208960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
12831284208960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 12831284208960:
26 × 35 × 5 × 72 × 19 × 4212
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 421 × 421)See below for interesting mathematical facts about the number 12831284208960 from the Numbermatics database.
Names of 12831284208960
- Cardinal: 12831284208960 can be written as Twelve trillion, eight hundred thirty-one billion, two hundred eighty-four million, two hundred eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.283128420896 × 1013
Factors of 12831284208960
Divisors of 12831284208960
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 38 40 42 45 48 49 54 56 57 60 63 64 70 72 76 80 81 84 90 95 96 98 105 108 112 114 120 126 133 135 140 144 147 152 160 162 168 171 180 189 190 192 196 210 216 224 228 240 243 245 252 266 270 280 285 288 294 304 315 320 324 336 342 360 378 380 392 399 405 420 421 432 441 448 456 480 486 490 504 513 532 540 560 567 570 576 588 608 630 648 665 672 684 720 735 756 760 784 798 810 840 842 855 864 882 912 931 945 960 972 980 1008 1026 1064 1080 1120 1134 1140 1176 1197 1215 1216 1260 1263 1296 1323 1330 1344 1368 1440 1470 1512 1520 1539 1568 1596 1620 1680 1684 1701 1710 1728 1764 1824 1862 1890 1944 1960 1995 2016 2052 2105 2128 2160 2205 2240 2268 2280 2352 2394 2430 2520 2526 2565 2592 2646 2660 2736 2793 2835 2880 2940 2947 3024 3040 3078 3136 3192 3240 3360 3368 3402 3420 3528 3591 3648 3724 3780 3789 3888 3920 3969 3990 4032 4104 4210 4256 4320 4410 4536 4560 4617 4655 4704 4788 4860 5040 5052 5130 5184 5292 5320 5472 5586 5670 5880 5894 5985 6048 6080 6156 6315 6384 6480 6615 6720 6736 6804 6840 7056 7182 7448 7560 7578 7695 7776 7840 7938 7980 7999 8208 8379 8420 8505 8512 8640 8820 8841 9072 9120 9234 9310 9408 9576 9720 10080 10104 10260 10584 10640 10773 10944 11172 11340 11367 11760 11788 11907 11970 12096 12312 12630 12768 12960 13230 13472 13608 13680 13965 14112 14364 14735 14896 15120 15156 15390 15552 15680 15876 15960 15998 16416 16758 16840 17010 17640 17682 17955 18144 18240 18468 18620 18945 19152 19440 19845 20160 20208 20520 20629 21168 21280 21546 22344 22680 22734 23085 23520 23576 23814 23940 23997 24624 25137 25260 25536 25920 26460 26523 26944 27216 27360 27930 28224 28728 29470 29792 30240 30312 30780 31752 31920 31996 32319 32832 33516 33680 34020 34101 35280 35364 35910 36288 36936 37240 37890 38304 38880 39690 39995 40416 41040 41258 41895 42336 42560 43092 44205 44688 45360 45468 46170 47040 47152 47628 47880 47994 49248 50274 50520 52920 53046 53865 54432 54720 55860 55993 56835 57456 58940 59535 59584 60480 60624 61560 61887 63504 63840 63992 64638 67032 67360 68040 68202 70560 70728 71820 71991 73872 74480 75411 75780 76608 77760 79380 79569 79990 80832 82080 82516 83790 84672 86184 88410 89376 90720 90936 92340 94304 95256 95760 95988 98496 100548 101040 102303 103145 105840 106092 107730 108864 111720 111986 113670 114912 117880 119070 119985 121248 123120 123774 125685 127008 127680 127984 129276 132615 134064 134720 136080 136404 141120 141456 143640 143982 147744 148960 150822 151560 158760 159138 159980 161595 164160 165032 167580 167979 170505 172368 176820 177241 178752 181440 181872 184680 185661 188608 190512 191520 191976 201096 202080 204606 206290 211680 212184 215460 215973 223440 223972 226233 227340 229824 235760 238140 238707 239970 242496 246240 247548 251370 254016 255968 258552 265230 268128 272160 272808 279965 282912 287280 287964 295488 297920 301644 303120 309435 317520 318276 319960 323190 330064 335160 335958 341010 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30550676688 31682183232 32158607040 32732867880 33766537392 33945196320 35642456136 37518374880 38188345860 39602729040 40097763153 40734235584 42208171740 43643823840 44553070170 45022049856 45826015032 47523274848 48237910560 50917794480 52372588608 52803638720 53463684204 56277562320 57282518790 59404093560 61101353376 65465735760 66829605255 67533074784 67890392640 71284912272 75036749760 76376691720 79205458080 80195526306 84416343480 87287647680 89106140340 91652030064 95046549696 96475821120 101835588960 106927368408 112555124640 114565037580 118808187120 122202706752 130931471520 133659210510 135066149568 142569824544 152753383440 158410916160 160391052612 168832686960 178212280680 183304060128 200488815765 203671177920 213854736816 225110249280 229130075160 237616374240 261862943040 267318421020 285139649088 305506766880 320782105224 337665373920 356424561360 366608120256 400977631530 427709473632 458260150320 475232748480 534636842040 611013533760 641564210448 675330747840 712849122720 801955263060 855418947264 916520300640 1069273684080 1283128420896 1425698245440 1603910526120 1833040601280 2138547368160 2566256841792 3207821052240 4277094736320 6415642104480 12831284208960
- Sum of all divisors σ(n): 56176955321760
- Sum of proper divisors (its aliquot sum) s(n): 43345671112800
- 12831284208960 is an abundant number, because the sum of its proper divisors (43345671112800) is greater than itself. Its abundance is 30514386903840
Bases of 12831284208960
- Binary: 101110101011100001000010001100100101010000002
- Hexadecimal: 0xBAB84232540
- Base-36: 4JQLZBO00
Squares and roots of 12831284208960
- 12831284208960 squared (128312842089602) is 164641854451106252944281600
- 12831284208960 cubed (128312842089603) is 2112566427152370351807076000811483136000
-
The
square root of 12831284208960 is 3582078.1969354047 -
The
cube root of 12831284208960 is 23411.1838137113
Scales and comparisons
How big is 12831284208960?- 12,831,284,208,960 seconds is equal to 407,995 years, 7 weeks, 4 days, 21 hours, 36 minutes.
-
To count from 1 to 12,831,284,208,960 would take you about one million, nineteen thousand, nine hundred eighty-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 12831284208960 cubic inches would be around 1950.9 feet tall.
Recreational maths with 12831284208960
- 12831284208960 backwards is 06980248213821
- 12831284208960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12831284208960's digits is 54
- More coming soon!
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The information we have on file for 12831284208960 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 12831284208960, math, Factors of 12831284208960, curriculum, school, college, exams, university, Prime factorization of 12831284208960, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, eight hundred thirty-one billion, two hundred eighty-four million, two hundred eight thousand, nine hundred sixty.