131928144768000
131,928,144,768,000 is an even composite number composed of six prime numbers multiplied together.
131928144768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred ninety-six divisors.
Prime factorization of 131928144768000:
210 × 36 × 53 × 7 × 17 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 109 × 109)See below for interesting mathematical facts about the number 131928144768000 from the Numbermatics database.
Names of 131928144768000
- Cardinal: 131928144768000 can be written as One hundred thirty-one trillion, nine hundred twenty-eight billion, one hundred forty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.31928144768 × 1014
Factors of 131928144768000
Divisors of 131928144768000
- Number of divisors d(n): 3696
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 63 64 68 70 72 75 80 81 84 85 90 96 100 102 105 108 109 112 119 120 125 126 128 135 136 140 144 150 153 160 162 168 170 175 180 189 192 200 204 210 216 218 224 225 238 240 243 250 252 255 256 270 272 280 288 300 306 315 320 324 327 336 340 350 357 360 375 378 384 400 405 408 420 425 432 436 448 450 459 476 480 486 500 504 510 512 525 540 544 545 560 567 576 595 600 612 630 640 648 654 672 675 680 700 714 720 729 750 756 763 765 768 800 810 816 840 850 864 872 875 896 900 918 945 952 960 972 981 1000 1008 1020 1024 1050 1071 1080 1088 1090 1120 1125 1134 1152 1190 1200 1215 1224 1260 1275 1280 1296 1308 1344 1350 1360 1377 1400 1428 1440 1458 1500 1512 1526 1530 1536 1575 1600 1620 1632 1635 1680 1700 1701 1728 1744 1750 1785 1792 1800 1836 1853 1890 1904 1920 1944 1962 2000 2016 2025 2040 2100 2125 2142 2160 2176 2180 2240 2250 2268 2289 2295 2304 2380 2400 2430 2448 2520 2550 2560 2592 2616 2625 2688 2700 2720 2725 2754 2800 2835 2856 2880 2916 2943 2975 3000 3024 3052 3060 3072 3150 3200 3213 3240 3264 3270 3360 3375 3400 3402 3456 3488 3500 3570 3584 3600 3645 3672 3706 3780 3808 3815 3825 3840 3888 3924 4000 4032 4050 4080 4131 4200 4250 4284 4320 4352 4360 4480 4500 4536 4578 4590 4608 4725 4760 4800 4860 4896 4905 5040 5100 5103 5120 5184 5232 5250 5355 5376 5400 5440 5450 5508 5559 5600 5670 5712 5760 5832 5886 5950 6000 6048 6075 6104 6120 6300 6375 6400 6426 6480 6528 6540 6720 6750 6800 6804 6867 6885 6912 6976 7000 7140 7168 7200 7290 7344 7412 7560 7616 7630 7650 7680 7776 7848 7875 8000 8064 8100 8160 8175 8262 8400 8500 8505 8568 8640 8704 8720 8829 8925 8960 9000 9072 9156 9180 9216 9265 9450 9520 9600 9639 9720 9792 9810 10080 10125 10200 10206 10368 10464 10500 10710 10752 10800 10880 10900 11016 11118 11200 11340 11424 11445 11475 11520 11664 11772 11881 11900 12000 12096 12150 12208 12240 12393 12600 12750 12800 12852 12960 12971 13056 13080 13440 13500 13600 13608 13625 13734 13770 13824 13952 14000 14175 14280 14400 14580 14688 14715 14824 14875 15120 15232 15260 15300 15360 15552 15696 15750 16000 16065 16128 16200 16320 16350 16524 16677 16800 17000 17010 17136 17280 17408 17440 17658 17850 17920 18000 18144 18225 18312 18360 18530 18900 19040 19075 19125 19200 19278 19440 19584 19620 20160 20250 20400 20412 20601 20655 20736 20928 21000 21420 21504 21600 21760 21800 22032 22236 22400 22680 22848 22890 22950 23040 23328 23544 23625 23762 23800 24000 24192 24300 24416 24480 24525 24786 25200 25500 25515 25600 25704 25920 25942 26112 26160 26487 26775 26880 27000 27200 27216 27250 27468 27540 27648 27795 27904 28000 28350 28560 28800 28917 29160 29376 29430 29648 29750 30240 30375 30464 30520 30600 31104 31392 31500 32000 32130 32256 32400 32640 32700 33048 33354 33600 34000 34020 34272 34335 34425 34560 34880 35316 35643 35700 35840 36000 36288 36450 36624 36720 37060 37800 38080 38150 38250 38400 38556 38880 38913 39168 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1374251508000 1465868275200 1552095820800 1570573152000 1628742528000 1649101809600 1759041930240 1832335344000 1884687782400 1940119776000 2061377262000 2094097536000 2198802412800 2355859728000 2443113792000 2586826368000 2638562895360 2748503016000 2931736550400 3141146304000 3298203619200 3664670688000 3769375564800 3880239552000 4122754524000 4397604825600 4711719456000 4886227584000 5277125790720 5497006032000 6282292608000 6596407238400 7329341376000 7760479104000 8245509048000 8795209651200 9423438912000 10994012064000 13192814476800 14658682752000 16491018096000 18846877824000 21988024128000 26385628953600 32982036192000 43976048256000 65964072384000 131928144768000
- Sum of all divisors σ(n): 602671283008704
- Sum of proper divisors (its aliquot sum) s(n): 470743138240704
- 131928144768000 is an abundant number, because the sum of its proper divisors (470743138240704) is greater than itself. Its abundance is 338814993472704
Bases of 131928144768000
- Binary: 111011111111100111010100011010001101100000000002
- Hexadecimal: 0x77FCEA346C00
- Base-36: 1ARIYB4000
Squares and roots of 131928144768000
- 131928144768000 squared (1319281447680002) is 17405035381926365773824000000
- 131928144768000 cubed (1319281447680003) is 2296214027558943754525173016952832000000000
-
The
square root of 131928144768000 is 11485997.7698065051 -
The
cube root of 131928144768000 is 50907.1931000763
Scales and comparisons
How big is 131928144768000?- 131,928,144,768,000 seconds is equal to 4,194,906 years, 48 weeks.
-
To count from 1 to 131,928,144,768,000 would take you about ten million, four hundred eighty-seven thousand, two hundred sixty-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 131928144768000 cubic inches would be around 4242.3 feet tall.
Recreational maths with 131928144768000
- 131928144768000 backwards is 000867441829131
- 131928144768000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131928144768000's digits is 54
- More coming soon!
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"Number 131928144768000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 131928144768000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/131928144768000/
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The information we have on file for 131928144768000 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 131928144768000, math, Factors of 131928144768000, curriculum, school, college, exams, university, Prime factorization of 131928144768000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, nine hundred twenty-eight billion, one hundred forty-four million, seven hundred sixty-eight thousand.