468493788672000
468,493,788,672,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 468493788672000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3744 divisors.
468493788672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred forty-four divisors.
Prime factorization of 468493788672000:
212 × 32 × 53 × 73 × 13 × 1512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 151 × 151)See below for interesting mathematical facts about the number 468493788672000 from the Numbermatics database.
Names of 468493788672000
- Cardinal: 468493788672000 can be written as Four hundred sixty-eight trillion, four hundred ninety-three billion, seven hundred eighty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.68493788672 × 1014
Factors of 468493788672000
Divisors of 468493788672000
- Number of divisors d(n): 3744
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 125 126 128 130 140 144 147 150 151 156 160 168 175 180 182 192 195 196 200 208 210 224 225 234 240 245 250 252 256 260 273 280 288 294 300 302 312 315 320 325 336 343 350 360 364 375 384 390 392 400 416 420 441 448 450 453 455 468 480 490 500 504 512 520 525 546 560 576 585 588 600 604 624 630 637 640 650 672 686 700 720 728 735 750 755 768 780 784 800 819 832 840 875 882 896 900 906 910 936 960 975 980 1000 1008 1024 1029 1040 1050 1057 1092 1120 1125 1152 1170 1176 1200 1208 1225 1248 1260 1274 1280 1300 1344 1359 1365 1372 1400 1440 1456 1470 1500 1510 1536 1560 1568 1575 1600 1625 1638 1664 1680 1715 1750 1764 1792 1800 1812 1820 1872 1911 1920 1950 1960 1963 2000 2016 2048 2058 2080 2100 2114 2184 2205 2240 2250 2265 2275 2304 2340 2352 2400 2416 2450 2496 2520 2548 2560 2600 2625 2688 2718 2730 2744 2800 2880 2912 2925 2940 3000 3020 3072 3087 3120 3136 3150 3171 3185 3200 3250 3276 3328 3360 3430 3500 3528 3584 3600 3624 3640 3675 3744 3775 3822 3840 3900 3920 3926 4000 4032 4095 4096 4116 4160 4200 4228 4368 4410 4459 4480 4500 4530 4550 4608 4680 4704 4800 4832 4875 4900 4992 5040 5096 5120 5145 5200 5250 5285 5376 5436 5460 5488 5600 5733 5760 5824 5850 5880 5889 6000 6040 6125 6144 6174 6240 6272 6300 6342 6370 6400 6500 6552 6656 6720 6795 6825 6860 7000 7056 7168 7200 7248 7280 7350 7399 7488 7550 7644 7680 7800 7840 7852 7875 8000 8064 8190 8232 8320 8400 8456 8575 8736 8820 8918 8960 9000 9060 9100 9216 9360 9408 9513 9555 9600 9664 9750 9800 9815 9984 10080 10192 10240 10290 10400 10500 10570 10752 10872 10920 10976 11025 11200 11325 11375 11466 11520 11648 11700 11760 11778 12000 12080 12250 12288 12348 12480 12544 12600 12684 12740 12800 13000 13104 13312 13377 13440 13590 13650 13720 13741 14000 14112 14336 14400 14496 14560 14625 14700 14798 14976 15100 15288 15360 15435 15600 15680 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52054865408000 58561723584000 66927684096000 78082298112000 93698757734400 117123447168000 156164596224000 234246894336000 468493788672000
- Sum of all divisors σ(n): 2135169515606400
- Sum of proper divisors (its aliquot sum) s(n): 1666675726934400
- 468493788672000 is an abundant number, because the sum of its proper divisors (1666675726934400) is greater than itself. Its abundance is 1198181938262400
Bases of 468493788672000
- Binary: 11010101000010111101101011101101001110000000000002
- Hexadecimal: 0x1AA17B5DA7000
- Base-36: 4M2F2PMGW0
Squares and roots of 468493788672000
- 468493788672000 squared (4684937886720002) is 219486430024244595523584000000
- 468493788672000 cubed (4684937886720003) is 102828029164150163371664079688040448000000000
-
The
square root of 468493788672000 is 21644717.3386949085 -
The
cube root of 468493788672000 is 77666.6570353795
Scales and comparisons
How big is 468493788672000?- 468,493,788,672,000 seconds is equal to 14,896,653 years, 17 weeks, 2 days, 8 hours.
-
To count from 1 to 468,493,788,672,000 would take you about thirty-seven million, two hundred forty-one thousand, six hundred thirty-three 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 468493788672000 cubic inches would be around 6472.2 feet tall.
Recreational maths with 468493788672000
- 468493788672000 backwards is 000276887394864
- 468493788672000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 468493788672000's digits is 72
- More coming soon!
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"Number 468493788672000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
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Numbermatics. (2024). Number 468493788672000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/468493788672000/
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The information we have on file for 468493788672000 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 468493788672000, math, Factors of 468493788672000, curriculum, school, college, exams, university, Prime factorization of 468493788672000, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight trillion, four hundred ninety-three billion, seven hundred eighty-eight million, six hundred seventy-two thousand.