131839728384000000
131,839,728,384,000,000 is an even composite number composed of seven prime numbers multiplied together.
131839728384000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven thousand, five hundred sixty divisors.
Prime factorization of 131839728384000000:
214 × 3 × 56 × 7 × 132 × 312 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 13 × 13 × 31 × 31 × 151)See below for interesting mathematical facts about the number 131839728384000000 from the Numbermatics database.
Names of 131839728384000000
- Cardinal: 131839728384000000 can be written as One hundred thirty-one quadrillion, eight hundred thirty-nine trillion, seven hundred twenty-eight billion, three hundred eighty-four million.
Scientific notation
- Scientific notation: 1.31839728384 × 1017
Factors of 131839728384000000
Divisors of 131839728384000000
- Number of divisors d(n): 7560
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 31 32 35 39 40 42 48 50 52 56 60 62 64 65 70 75 78 80 84 91 93 96 100 104 105 112 120 124 125 128 130 140 150 151 155 156 160 168 169 175 182 186 192 195 200 208 210 217 224 240 248 250 256 260 273 280 300 302 310 312 320 325 336 338 350 364 372 375 384 390 400 403 416 420 434 448 453 455 465 480 496 500 507 512 520 525 546 560 600 604 620 624 625 640 650 651 672 676 700 728 744 750 755 768 775 780 800 806 832 840 845 868 875 896 906 910 930 960 961 975 992 1000 1014 1024 1040 1050 1057 1085 1092 1120 1183 1200 1208 1209 1240 1248 1250 1280 1300 1302 1344 1352 1365 1400 1456 1488 1500 1510 1536 1550 1560 1600 1612 1625 1664 1680 1690 1736 1750 1792 1812 1820 1860 1875 1920 1922 1950 1963 1984 2000 2015 2028 2048 2080 2100 2114 2170 2184 2240 2265 2275 2325 2366 2400 2416 2418 2480 2496 2500 2535 2560 2600 2604 2625 2688 2704 2730 2800 2821 2883 2912 2976 3000 3020 3072 3100 3120 3125 3171 3200 3224 3250 3255 3328 3360 3380 3472 3500 3549 3584 3624 3640 3720 3750 3775 3840 3844 3875 3900 3926 3968 4000 4030 4056 4096 4160 4200 4225 4228 4340 4368 4375 4480 4530 4550 4650 4681 4732 4800 4805 4832 4836 4875 4960 4992 5000 5070 5120 5200 5208 5239 5250 5285 5376 5408 5425 5460 5600 5642 5766 5824 5889 5915 5952 6000 6040 6045 6144 6200 6240 6250 6342 6400 6448 6500 6510 6656 6720 6727 6760 6825 6944 7000 7098 7168 7248 7280 7440 7500 7550 7680 7688 7750 7800 7852 7936 8000 8060 8112 8125 8192 8320 8400 8450 8456 8463 8680 8736 8750 8960 9060 9100 9300 9362 9375 9464 9600 9610 9664 9672 9750 9815 9920 9984 10000 10075 10140 10240 10400 10416 10478 10500 10570 10752 10816 10850 10920 11200 11284 11325 11375 11532 11625 11648 11778 11830 11904 12000 12080 12090 12288 12400 12480 12493 12500 12675 12684 12800 12896 13000 13020 13125 13312 13440 13454 13520 13650 13741 13888 14000 14043 14105 14196 14336 14415 14496 14560 14880 15000 15100 15360 15376 15500 15600 15625 15704 15717 15855 15872 16000 16120 16224 16250 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10141517568000000 10986644032000000 13183972838400000 16479966048000000 18834246912000000 21973288064000000 26367945676800000 32959932096000000 43946576128000000 65919864192000000 131839728384000000
- Sum of all divisors σ(n): 565659474401048832
- Sum of proper divisors (its aliquot sum) s(n): 433819746017048832
- 131839728384000000 is an abundant number, because the sum of its proper divisors (433819746017048832) is greater than itself. Its abundance is 301980017633048832
Bases of 131839728384000000
- Binary: 1110101000110001110001000110100011001110011000000000000002
- Hexadecimal: 0x1D46388D19CC000
- Base-36: 1025A73AX5HC
Squares and roots of 131839728384000000
- 131839728384000000 squared (1318397283840000002) is 17381713980366895251456000000000000
- 131839728384000000 cubed (1318397283840000003) is 2291600450019946978617338420527104000000000000000000
-
The
square root of 131839728384000000 is 363097408.9469656353 -
The
cube root of 131839728384000000 is 508958.1813070697
Scales and comparisons
How big is 131839728384000000?- 131,839,728,384,000,000 seconds is equal to 4,192,095,555 years, 28 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 131,839,728,384,000,000 would take you about twelve billion, five hundred seventy-six million, two hundred eighty-six thousand, six hundred sixty-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 131839728384000000 cubic inches would be around 42413.2 feet tall.
Recreational maths with 131839728384000000
- 131839728384000000 backwards is 000000483827938131
- The number of decimal digits it has is: 18
- The sum of 131839728384000000's digits is 57
- More coming soon!
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"Number 131839728384000000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 131839728384000000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/131839728384000000/
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The information we have on file for 131839728384000000 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 131839728384000000, math, Factors of 131839728384000000, curriculum, school, college, exams, university, Prime factorization of 131839728384000000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, eight hundred thirty-nine trillion, seven hundred twenty-eight billion, three hundred eighty-four million.