12438242960976000
12,438,242,960,976,000 is an even composite number composed of seven prime numbers multiplied together.
12438242960976000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 12438242960976000:
27 × 32 × 53 × 7 × 412 × 67 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 41 × 41 × 67 × 331 × 331)See below for interesting mathematical facts about the number 12438242960976000 from the Numbermatics database.
Names of 12438242960976000
- Cardinal: 12438242960976000 can be written as Twelve quadrillion, four hundred thirty-eight trillion, two hundred forty-two billion, nine hundred sixty million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 1.2438242960976 × 1016
Factors of 12438242960976000
Divisors of 12438242960976000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 50 56 60 63 64 67 70 72 75 80 82 84 90 96 100 105 112 120 123 125 126 128 134 140 144 150 160 164 168 175 180 192 200 201 205 210 224 225 240 246 250 252 268 280 287 288 300 315 320 328 331 335 336 350 360 369 375 384 400 402 410 420 448 450 469 480 492 500 504 525 536 560 574 576 600 603 615 630 640 656 662 670 672 700 720 738 750 800 804 820 840 861 875 896 900 938 960 984 993 1000 1005 1008 1025 1050 1072 1120 1125 1148 1152 1200 1206 1230 1260 1312 1324 1340 1344 1400 1407 1435 1440 1476 1500 1575 1600 1608 1640 1655 1675 1680 1681 1722 1750 1800 1845 1876 1920 1968 1986 2000 2010 2016 2050 2100 2144 2240 2250 2296 2317 2345 2400 2412 2460 2520 2583 2624 2625 2648 2680 2688 2747 2800 2814 2870 2880 2952 2979 3000 3015 3075 3150 3200 3216 3280 3310 3350 3360 3362 3444 3500 3600 3690 3752 3936 3972 4000 4020 4032 4100 4200 4221 4288 4305 4480 4500 4592 4634 4690 4800 4824 4920 4965 5025 5040 5043 5125 5166 5248 5250 5296 5360 5494 5600 5628 5740 5760 5904 5958 6000 6030 6150 6300 6432 6560 6620 6700 6720 6724 6888 6951 7000 7035 7175 7200 7380 7504 7872 7875 7944 8000 8040 8064 8200 8241 8275 8375 8400 8405 8442 8576 8610 9000 9184 9225 9268 9380 9600 9648 9840 9930 10050 10080 10086 10250 10332 10500 10592 10720 10988 11200 11256 11480 11585 11725 11767 11808 11916 12000 12060 12300 12600 12864 12915 13120 13240 13400 13440 13448 13571 13735 13776 13902 14000 14070 14350 14400 14760 14895 15008 15075 15129 15375 15744 15750 15888 16000 16080 16400 16482 16550 16750 16800 16810 16884 17220 18000 18368 18450 18536 18760 19229 19296 19680 19860 20100 20160 20172 20500 20664 20853 21000 21105 21184 21440 21525 21976 22177 22400 22512 22960 23170 23450 23534 23616 23832 24000 24120 24600 24723 24825 25125 25200 25215 25728 25830 26240 26480 26800 26896 27142 27470 27552 27804 28000 28140 28700 28800 29520 29790 30016 30150 30258 30750 31500 31776 32160 32800 32964 33100 33500 33600 33620 33768 34440 34755 35175 35301 35875 36000 36736 36900 37072 37520 38458 38592 39360 39720 40200 40320 40344 40713 41000 41205 41328 41375 41706 42000 42025 42210 42368 42880 43050 43952 44354 45024 45920 46125 46340 46900 47068 47232 47664 48000 48240 49200 49446 49650 50250 50400 50430 51660 52960 53600 53792 54284 54940 55104 55608 56000 56280 57400 57687 57925 58625 58835 59040 59580 60032 60300 60516 61500 63000 63552 64320 64575 65600 65928 66200 66531 67000 67200 67240 67536 67855 68675 68880 69510 70350 70602 71750 72000 73800 74144 74475 75040 75375 75645 76916 77184 78720 79440 80400 80688 81426 82000 82410 82656 82750 83412 84000 84050 84420 86100 87904 88708 90048 91840 92250 92680 93800 94136 94997 95328 96145 96480 98400 98892 99300 100500 100800 100860 103320 104265 105525 105903 105920 107200 107584 107625 108568 109561 109880 110208 110885 111216 112000 112560 112627 114800 115374 115850 117250 117670 118080 119160 120600 121032 122139 123000 123615 124125 126000 126075 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55281079826560 55527870361500 59229728385600 60674355907200 61881805776000 62191214804880 64782515421750 69101349783200 71075674062720 74037160482000 75842944884000 77739018506100 82921619739840 86376687229000 88844592578400 92822708664000 97173773132625 98716213976000 99505943687808 101123926512000 103652024674800 111055740723000 118459456771200 124382429609760 129565030843500 138202699566400 148074320964000 151685889768000 155478037012200 165843239479680 172753374458000 177689185156800 185645417328000 194347546265250 197432427952000 207304049349600 222111481446000 248764859219520 259130061687000 276405399132800 296148641928000 303371779536000 310956074024400 345506748916000 355378370313600 388695092530500 414608098699200 444222962892000 497529718439040 518260123374000 592297283856000 621912148048800 691013497832000 777390185061000 829216197398400 888445925784000 1036520246748000 1243824296097600 1382026995664000 1554780370122000 1776891851568000 2073040493496000 2487648592195200 3109560740244000 4146080986992000 6219121480488000 12438242960976000
- Sum of all divisors σ(n): 53267502841338240
- Sum of proper divisors (its aliquot sum) s(n): 40829259880362240
- 12438242960976000 is an abundant number, because the sum of its proper divisors (40829259880362240) is greater than itself. Its abundance is 28391016919386240
Bases of 12438242960976000
- Binary: 1011000011000010000100000111010101000110101000100000002
- Hexadecimal: 0x2C30841D51A880
- Base-36: 3EGZLXL1R40
Squares and roots of 12438242960976000
- 12438242960976000 squared (124382429609760002) is 154709887956269011858872576000000
- 12438242960976000 cubed (124382429609760003) is 1924319174865448675265096887543324594176000000000
-
The
square root of 12438242960976000 is 111526871.0265647147 -
The
cube root of 12438242960976000 is 231696.6094741955
Scales and comparisons
How big is 12438242960976000?- 12,438,242,960,976,000 seconds is equal to 395,497,652 years, 7 weeks, 4 days, 16 hours.
-
To count from 1 to 12,438,242,960,976,000 would take you about one billion, one hundred eighty-six million, four hundred ninety-two thousand, nine hundred fifty-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 12438242960976000 cubic inches would be around 19308.1 feet tall.
Recreational maths with 12438242960976000
- 12438242960976000 backwards is 00067906924283421
- 12438242960976000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12438242960976000's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 12438242960976000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 12438242960976000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/12438242960976000/
Chicago style:
Numbermatics. 2024. "Number 12438242960976000 - Facts about the integer". https://numbermatics.com/n/12438242960976000/
The information we have on file for 12438242960976000 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 12438242960976000, math, Factors of 12438242960976000, curriculum, school, college, exams, university, Prime factorization of 12438242960976000, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, four hundred thirty-eight trillion, two hundred forty-two billion, nine hundred sixty million, nine hundred seventy-six thousand.