12735664128000
12,735,664,128,000 is an even composite number composed of six prime numbers multiplied together.
12735664128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 12735664128000:
215 × 33 × 53 × 11 × 192 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 19 × 19 × 29)See below for interesting mathematical facts about the number 12735664128000 from the Numbermatics database.
Names of 12735664128000
- Cardinal: 12735664128000 can be written as Twelve trillion, seven hundred thirty-five billion, six hundred sixty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.2735664128 × 1013
Factors of 12735664128000
Divisors of 12735664128000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 29 30 32 33 36 38 40 44 45 48 50 54 55 57 58 60 64 66 72 75 76 80 87 88 90 95 96 99 100 108 110 114 116 120 125 128 132 135 144 145 150 152 160 165 171 174 176 180 190 192 198 200 209 216 220 225 228 232 240 250 256 261 264 270 275 285 288 290 297 300 304 319 320 330 342 348 352 360 361 375 380 384 396 400 418 432 435 440 450 456 464 475 480 495 500 512 513 522 528 540 550 551 570 576 580 594 600 608 627 638 640 660 675 684 696 704 720 722 725 750 760 768 783 792 800 825 836 855 864 870 880 900 912 928 950 957 960 990 1000 1024 1026 1044 1045 1056 1080 1083 1100 1102 1125 1140 1152 1160 1188 1200 1216 1254 1276 1280 1305 1320 1350 1368 1375 1392 1408 1425 1440 1444 1450 1485 1500 1520 1536 1566 1584 1595 1600 1650 1653 1672 1710 1728 1740 1760 1800 1805 1824 1856 1881 1900 1914 1920 1980 2000 2048 2052 2088 2090 2112 2160 2166 2175 2200 2204 2250 2280 2304 2320 2375 2376 2400 2432 2475 2508 2552 2560 2565 2610 2640 2700 2736 2750 2755 2784 2816 2850 2871 2880 2888 2900 2970 3000 3040 3072 3132 3135 3168 3190 3200 3249 3300 3306 3344 3375 3420 3456 3480 3520 3600 3610 3625 3648 3712 3762 3800 3828 3840 3915 3960 3971 4000 4096 4104 4125 4176 4180 4224 4275 4320 4332 4350 4400 4408 4500 4560 4608 4640 4750 4752 4785 4800 4864 4950 4959 5016 5104 5120 5130 5220 5225 5280 5400 5415 5472 5500 5510 5568 5632 5643 5700 5742 5760 5776 5800 5940 6000 6061 6080 6144 6264 6270 6336 6380 6400 6498 6525 6600 6612 6688 6750 6840 6912 6960 7040 7125 7200 7220 7250 7296 7424 7425 7524 7600 7656 7680 7830 7920 7942 7975 8000 8192 8208 8250 8265 8352 8360 8448 8550 8613 8640 8664 8700 8800 8816 9000 9025 9120 9216 9280 9405 9500 9504 9570 9600 9728 9747 9900 9918 10032 10208 10240 10260 10440 10450 10469 10560 10800 10830 10875 10944 11000 11020 11136 11264 11286 11400 11484 11520 11552 11600 11880 11913 12000 12122 12160 12288 12375 12528 12540 12672 12760 12800 12825 12996 13050 13200 13224 13376 13500 13680 13775 13824 13920 14080 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2234327040 2256896000 2261304000 2287296000 2311372800 2315575296 2327424000 2351923200 2358456320 2412057600 2437447680 2439782400 2482585600 2487434400 2495232000 2539008000 2568192000 2572861440 2618352000 2653263360 2661580800 2680064000 2681192448 2744755200 2763816000 2792908800 2830147584 2889216000 2894469120 2927738880 2939904000 2948070400 2979102720 3015072000 3046809600 3049728000 3087433728 3103232000 3109293000 3183916032 3207168000 3216076800 3253043200 3316579200 3326976000 3351490560 3385344000 3430944000 3491136000 3513286656 3527884800 3537684480 3618086400 3659673600 3685088000 3723878400 3773530112 3808512000 3852288000 3859292160 3919872000 3979895040 3992371200 4020096000 4062412800 4066304000 4145724000 4189363200 4245221376 4288102400 4391608320 4409856000 4422105600 4435968000 4468654080 4522608000 4574592000 4622745600 4631150592 4654848000 4716912640 4824115200 4879564800 4965171200 4974868800 4990464000 5078016000 5145722880 5236704000 5306526720 5360128000 5362384896 5489510400 5527632000 5585817600 5660295168 5778432000 5788938240 5855477760 5879808000 5896140800 6030144000 6093619200 6099456000 6206464000 6218586000 6367832064 6432153600 6633158400 6653952000 6702981120 6770688000 6861888000 6982272000 7055769600 7075368960 7236172800 7319347200 7370176000 7447756800 7617024000 7704576000 7718584320 7959790080 7984742400 8040192000 8132608000 8291448000 8378726400 8490442752 8576204800 8783216640 8819712000 8844211200 8937308160 9045216000 9149184000 9262301184 9309696000 9433825280 9648230400 9759129600 9949737600 9980928000 10156032000 10473408000 10613053440 10720256000 10979020800 11055264000 11171635200 11320590336 11556864000 11577876480 11759616000 11792281600 12060288000 12187238400 12198912000 12412928000 12437172000 12735664128 12864307200 13266316800 13307904000 13405962240 13723776000 13964544000 14150737920 14472345600 14638694400 14740352000 14895513600 15234048000 15437168640 15919580160 16080384000 16265216000 16582896000 16757452800 16980885504 17566433280 17639424000 17688422400 18090432000 18298368000 18619392000 18867650560 19296460800 19899475200 19961856000 20312064000 20946816000 21226106880 21440512000 21958041600 22110528000 22343270400 23113728000 23155752960 23584563200 24120576000 24397824000 24825856000 24874344000 25471328256 25728614400 26532633600 26811924480 27447552000 27929088000 28301475840 28944691200 29277388800 29480704000 30468096000 31839160320 32160768000 33165792000 33514905600 33961771008 35278848000 35376844800 36180864000 36596736000 37238784000 38592921600 39798950400 39923712000 41893632000 42452213760 42881024000 43916083200 44221056000 44686540800 46311505920 47169126400 48241152000 48795648000 49748688000 50942656512 53065267200 54895104000 55858176000 56602951680 57889382400 58961408000 60936192000 63678320640 64321536000 66331584000 67029811200 70753689600 72361728000 73193472000 74477568000 77185843200 79597900800 83787264000 84904427520 87832166400 88442112000 94338252800 96482304000 99497376000 101885313024 106130534400 109790208000 111716352000 115778764800 117922816000 127356641280 128643072000 132663168000 134059622400 141507379200 144723456000 146386944000 159195801600 167574528000 169808855040 176884224000 192964608000 198994752000 212261068800 219580416000 223432704000 231557529600 235845632000 254713282560 265326336000 283014758400 289446912000 318391603200 335149056000 353768448000 385929216000 397989504000 424522137600 439160832000 471691264000 509426565120 530652672000 578893824000 636783206400 670298112000 707536896000 795979008000 849044275200 1061305344000 1157787648000 1273566412800 1415073792000 1591958016000 2122610688000 2547132825600 3183916032000 4245221376000 6367832064000 12735664128000
- Sum of all divisors σ(n): 56089990944000
- Sum of proper divisors (its aliquot sum) s(n): 43354326816000
- 12735664128000 is an abundant number, because the sum of its proper divisors (43354326816000) is greater than itself. Its abundance is 30618662688000
Bases of 12735664128000
- Binary: 101110010101010000001011110010000000000000002
- Hexadecimal: 0xB9540BC8000
- Base-36: 4IIOLLHC0
Squares and roots of 12735664128000
- 12735664128000 squared (127356641280002) is 162197140781226000384000000
- 12735664128000 cubed (127356641280003) is 2065688307511625868951423025152000000000
-
The
square root of 12735664128000 is 3568706.2260712915 -
The
cube root of 12735664128000 is 23352.8845533183
Scales and comparisons
How big is 12735664128000?- 12,735,664,128,000 seconds is equal to 404,954 years, 37 weeks, 5 days.
-
To count from 1 to 12,735,664,128,000 would take you about one million, twelve thousand, three hundred eighty-six 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 12735664128000 cubic inches would be around 1946.1 feet tall.
Recreational maths with 12735664128000
- 12735664128000 backwards is 00082146653721
- 12735664128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12735664128000's digits is 45
- More coming soon!
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Cite this page
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"Number 12735664128000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 12735664128000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/12735664128000/
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The information we have on file for 12735664128000 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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