85344168672000
85,344,168,672,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 85344168672000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 6480 divisors.
85344168672000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six thousand, four hundred eighty divisors.
Prime factorization of 85344168672000:
28 × 34 × 53 × 72 × 17 × 292 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 17 × 29 × 29 × 47)See below for interesting mathematical facts about the number 85344168672000 from the Numbermatics database.
Names of 85344168672000
- Cardinal: 85344168672000 can be written as Eighty-five trillion, three hundred forty-four billion, one hundred sixty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 8.5344168672 × 1013
Factors of 85344168672000
Divisors of 85344168672000
- Number of divisors d(n): 6480
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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 29 30 32 34 35 36 40 42 45 47 48 49 50 51 54 56 58 60 63 64 68 70 72 75 80 81 84 85 87 90 94 96 98 100 102 105 108 112 116 119 120 125 126 128 135 136 140 141 144 145 147 150 153 160 162 168 170 174 175 180 188 189 192 196 200 203 204 210 216 224 225 232 235 238 240 245 250 252 255 256 261 270 272 280 282 288 290 294 300 306 315 320 324 329 336 340 348 350 357 360 375 376 378 384 392 400 405 406 408 420 423 425 432 435 441 448 450 459 464 470 476 480 490 493 500 504 510 522 525 540 544 560 564 567 576 580 588 595 600 609 612 630 640 648 658 672 675 680 696 700 705 714 720 725 735 750 752 756 765 768 783 784 799 800 810 812 816 833 840 841 846 850 864 870 875 882 896 900 918 928 940 945 952 960 980 986 987 1000 1008 1015 1020 1044 1050 1071 1080 1088 1120 1125 1128 1134 1152 1160 1175 1176 1190 1200 1218 1224 1225 1260 1269 1275 1280 1296 1305 1316 1323 1344 1350 1360 1363 1377 1392 1400 1410 1421 1428 1440 1450 1470 1479 1500 1504 1512 1530 1566 1568 1575 1598 1600 1620 1624 1632 1645 1666 1680 1682 1692 1700 1728 1740 1750 1764 1785 1792 1800 1827 1836 1856 1880 1890 1904 1920 1960 1972 1974 2000 2016 2025 2030 2040 2088 2100 2115 2125 2142 2160 2175 2176 2205 2240 2250 2256 2268 2295 2303 2304 2320 2349 2350 2352 2380 2397 2400 2436 2448 2450 2465 2499 2520 2523 2538 2550 2592 2610 2625 2632 2646 2688 2700 2720 2726 2754 2784 2800 2820 2835 2842 2856 2880 2900 2940 2958 2961 2975 3000 3008 3024 3045 3060 3132 3136 3150 3196 3200 3213 3240 3248 3264 3290 3332 3360 3364 3375 3384 3400 3451 3456 3480 3500 3525 3528 3570 3600 3625 3654 3672 3675 3712 3760 3780 3807 3808 3825 3840 3915 3920 3944 3948 3969 3995 4000 4032 4050 4060 4080 4089 4165 4176 4200 4205 4230 4250 4263 4284 4320 4350 4352 4410 4437 4480 4500 4512 4536 4590 4606 4640 4698 4700 4704 4725 4760 4794 4800 4872 4896 4900 4930 4935 4998 5040 5046 5075 5076 5100 5184 5220 5250 5264 5292 5355 5376 5400 5440 5452 5481 5508 5568 5593 5600 5640 5670 5684 5712 5760 5800 5875 5880 5887 5916 5922 5950 6000 6016 6048 6090 6120 6125 6264 6272 6300 6345 6375 6392 6400 6426 6480 6496 6525 6528 6580 6615 6664 6720 6728 6750 6768 6800 6815 6885 6902 6909 6912 6960 7000 7050 7056 7105 7140 7191 7200 7250 7308 7344 7350 7395 7424 7497 7520 7560 7569 7614 7616 7650 7830 7840 7875 7888 7896 7938 7990 8000 8064 8100 8120 8160 8178 8225 8330 8352 8400 8410 8460 8500 8526 8568 8640 8700 8820 8874 8883 8925 8960 9000 9024 9072 9135 9180 9212 9280 9396 9400 9408 9450 9520 9541 9588 9600 9639 9744 9792 9800 9860 9870 9996 10080 10092 10125 10150 10152 10200 10353 10368 10440 10500 10528 10575 10584 10710 10800 10875 10880 10904 10962 11016 11025 11136 11186 11200 11280 11340 11368 11424 11475 11515 11520 11600 11745 11750 11760 11774 11832 11844 11900 11985 12000 12032 12096 12180 12240 12250 12267 12325 12495 12528 12544 12600 12615 12690 12750 12784 12789 12852 12960 12992 13050 13056 13160 13230 13311 13328 13440 13456 13500 13536 13600 13630 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677334672000 682753349376 711201405600 717177888000 735725592000 762001506000 790223784000 812801606400 836707536000 853441686720 870858864000 889001757000 907916688000 948268540800 980967456000 1004049043200 1016002008000 1053631712000 1066802108400 1137922248960 1185335676000 1219202409600 1255061304000 1333502635500 1354669344000 1422402811200 1471451184000 1524003012000 1580447568000 1673415072000 1706883373440 1741717728000 1778003514000 1815833376000 1896537081600 2032004016000 2133604216800 2370671352000 2438404819200 2510122608000 2667005271000 2844805622400 2942902368000 3048006024000 3160895136000 3413766746880 3556007028000 4064008032000 4267208433600 4741342704000 5020245216000 5334010542000 5689611244800 6096012048000 7112014056000 8534416867200 9482685408000 10668021084000 12192024096000 14224028112000 17068833734400 21336042168000 28448056224000 42672084336000 85344168672000
- Sum of all divisors σ(n): 413749633385088
- Sum of proper divisors (its aliquot sum) s(n): 328405464713088
- 85344168672000 is an abundant number, because the sum of its proper divisors (328405464713088) is greater than itself. Its abundance is 243061296041088
Bases of 85344168672000
- Binary: 100110110011110101111001101101101111011000000002
- Hexadecimal: 0x4D9EBCDB7B00
- Base-36: U92KII800
Squares and roots of 85344168672000
- 85344168672000 squared (853441686720002) is 7283627126314786243584000000
- 85344168672000 cubed (853441686720003) is 621615102012163766940058173800448000000000
-
The
square root of 85344168672000 is 9238190.7683268805 -
The
cube root of 85344168672000 is 44027.5599845221
Scales and comparisons
How big is 85344168672000?- 85,344,168,672,000 seconds is equal to 2,713,680 years, 30 weeks.
-
To count from 1 to 85,344,168,672,000 would take you about six million, seven hundred eighty-four thousand, two hundred one 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 85344168672000 cubic inches would be around 3669 feet tall.
Recreational maths with 85344168672000
- 85344168672000 backwards is 00027686144358
- 85344168672000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 85344168672000's digits is 54
- More coming soon!
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Cite this page
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"Number 85344168672000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 85344168672000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/85344168672000/
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The information we have on file for 85344168672000 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 85344168672000, math, Factors of 85344168672000, curriculum, school, college, exams, university, Prime factorization of 85344168672000, STEM, science, technology, engineering, physics, economics, calculator, eighty-five trillion, three hundred forty-four billion, one hundred sixty-eight million, six hundred seventy-two thousand.