126141138864000
126,141,138,864,000 is an even composite number composed of eight prime numbers multiplied together.
126141138864000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 126141138864000:
27 × 33 × 53 × 13 × 17 × 53 × 97 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 53 × 97 × 257)See below for interesting mathematical facts about the number 126141138864000 from the Numbermatics database.
Names of 126141138864000
- Cardinal: 126141138864000 can be written as One hundred twenty-six trillion, one hundred forty-one billion, one hundred thirty-eight million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.26141138864 × 1014
Factors of 126141138864000
Divisors of 126141138864000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 27 30 32 34 36 39 40 45 48 50 51 52 53 54 60 64 65 68 72 75 78 80 85 90 96 97 100 102 104 106 108 117 120 125 128 130 135 136 144 150 153 156 159 160 170 180 192 194 195 200 204 208 212 216 221 225 234 240 250 255 257 260 265 270 272 288 291 300 306 312 318 320 325 340 351 360 375 384 388 390 400 408 416 424 425 432 442 450 459 468 477 480 485 500 510 514 520 530 540 544 576 582 585 600 612 624 636 640 650 663 675 680 689 702 720 750 765 771 776 780 795 800 816 832 848 850 864 873 884 900 901 918 936 954 960 970 975 1000 1020 1028 1040 1060 1080 1088 1105 1125 1152 1164 1170 1200 1224 1248 1261 1272 1275 1285 1300 1325 1326 1350 1360 1378 1404 1431 1440 1455 1500 1530 1542 1552 1560 1590 1600 1625 1632 1649 1664 1696 1700 1728 1746 1755 1768 1800 1802 1836 1872 1908 1920 1940 1950 1989 2000 2040 2056 2067 2080 2120 2125 2160 2176 2210 2250 2295 2313 2328 2340 2385 2400 2425 2448 2496 2522 2544 2550 2570 2600 2619 2650 2652 2700 2703 2720 2756 2808 2862 2880 2910 2925 3000 3060 3084 3104 3120 3180 3200 3250 3264 3298 3315 3341 3375 3392 3400 3445 3456 3492 3510 3536 3600 3604 3672 3744 3783 3816 3825 3855 3880 3900 3975 3978 4000 4080 4112 4134 4160 4240 4250 4320 4365 4369 4420 4500 4505 4590 4626 4656 4680 4770 4800 4850 4875 4896 4947 4992 5044 5088 5100 5140 5141 5200 5238 5300 5304 5400 5406 5440 5512 5525 5616 5724 5760 5820 5850 5967 6000 6120 6168 6201 6208 6240 6305 6360 6375 6425 6500 6528 6596 6625 6630 6682 6750 6784 6800 6890 6939 6984 7020 7072 7155 7200 7208 7275 7344 7488 7566 7632 7650 7710 7760 7800 7950 7956 8000 8109 8160 8224 8245 8268 8320 8480 8500 8640 8730 8738 8775 8840 9000 9010 9180 9252 9312 9360 9540 9600 9700 9750 9792 9894 9945 10023 10088 10176 10200 10280 10282 10335 10400 10476 10600 10608 10800 10812 10880 11024 11050 11232 11349 11448 11475 11565 11640 11700 11713 11925 11934 12000 12125 12240 12336 12402 12416 12480 12610 12720 12750 12850 13000 13095 13107 13192 13250 13260 13364 13500 13515 13600 13621 13780 13878 13968 14040 14144 14310 14400 14416 14550 14625 14688 14841 14976 15132 15264 15300 15420 15423 15520 15600 15900 15912 16000 16218 16320 16448 16490 16536 16575 16705 16960 17000 17225 17280 17460 17476 17550 17680 18000 18020 18360 18504 18603 18624 18720 18915 19080 19125 19275 19400 19500 19584 19788 19875 19890 20046 20176 20352 20400 20560 20564 20670 20800 20952 21200 21216 21437 21600 21624 21825 21845 22048 22100 22464 22525 22698 22896 22950 23130 23280 23400 23426 23850 23868 24000 24250 24327 24480 24672 24735 24804 24929 24960 25220 25440 25500 25700 25705 26000 26190 26214 26384 26500 26520 26728 27000 27030 27200 27242 27560 27625 27756 27936 28080 28288 28620 28800 28832 29100 29250 29376 29682 29835 30069 30264 30528 30600 30840 30846 31005 31040 31200 31525 31800 31824 32125 32436 32640 32896 32980 33072 33150 33410 33920 34000 34047 34450 34695 34920 34952 35100 35139 35360 35775 36000 36040 36375 36720 37008 37206 37248 37440 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525588078600 539064696000 560627283840 570774384000 583986754000 595005372000 606447783000 618338916000 630705694320 646877635200 650212056000 656985098250 700784104800 742006699200 788382117900 793340496000 808597044000 824451888000 840940925760 875980131000 927508374000 934378806400 970316452800 985477647375 1009129110912 1051176157200 1078129392000 1167973508000 1190010744000 1212895566000 1236677832000 1261411388640 1300424112000 1313970196500 1401568209600 1484013398400 1576764235800 1617194088000 1681881851520 1751960262000 1855016748000 1940632905600 1970955294750 2102352314400 2335947016000 2380021488000 2425791132000 2473355664000 2522822777280 2627940393000 2803136419200 3153528471600 3234388176000 3503920524000 3710033496000 3941910589500 4204704628800 4671894032000 4851582264000 5045645554560 5255880786000 6307056943200 7007841048000 7420066992000 7883821179000 8409409257600 9703164528000 10511761572000 12614113886400 14015682096000 15767642358000 21023523144000 25228227772800 31535284716000 42047046288000 63070569432000 126141138864000
- Sum of all divisors σ(n): 547475706086400
- Sum of proper divisors (its aliquot sum) s(n): 421334567222400
- 126141138864000 is an abundant number, because the sum of its proper divisors (421334567222400) is greater than itself. Its abundance is 295193428358400
Bases of 126141138864000
- Binary: 111001010111001100001011100011000000111100000002
- Hexadecimal: 0x72B985C60780
- Base-36: 18POFT7MO0
Squares and roots of 126141138864000
- 126141138864000 squared (1261411388640002) is 15911586913906931210496000000
- 126141138864000 cubed (1261411388640003) is 2007105694453739422595271550316544000000000
-
The
square root of 126141138864000 is 11231257.2254400799 -
The
cube root of 126141138864000 is 50151.6911788655
Scales and comparisons
How big is 126141138864000?- 126,141,138,864,000 seconds is equal to 4,010,898 years, 1 week, 6 days.
-
To count from 1 to 126,141,138,864,000 would take you about ten million, twenty-seven thousand, two hundred forty-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 126141138864000 cubic inches would be around 4179.3 feet tall.
Recreational maths with 126141138864000
- 126141138864000 backwards is 000468831141621
- 126141138864000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 126141138864000's digits is 45
- More coming soon!
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"Number 126141138864000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 126141138864000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/126141138864000/
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The information we have on file for 126141138864000 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 126141138864000, math, Factors of 126141138864000, curriculum, school, college, exams, university, Prime factorization of 126141138864000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-six trillion, one hundred forty-one billion, one hundred thirty-eight million, eight hundred sixty-four thousand.