85213443728448000
85,213,443,728,448,000 is an even composite number composed of five prime numbers multiplied together.
85213443728448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, one hundred sixty divisors.
Prime factorization of 85213443728448000:
29 × 312 × 53 × 7 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 71 × 71 × 71)See below for interesting mathematical facts about the number 85213443728448000 from the Numbermatics database.
Names of 85213443728448000
- Cardinal: 85213443728448000 can be written as Eighty-five quadrillion, two hundred thirteen trillion, four hundred forty-three billion, seven hundred twenty-eight million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 8.5213443728448 × 1016
Factors of 85213443728448000
Divisors of 85213443728448000
- Number of divisors d(n): 4160
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 71 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 142 144 150 160 162 168 175 180 189 192 200 210 213 216 224 225 240 243 250 252 256 270 280 284 288 300 315 320 324 336 350 355 360 375 378 384 400 405 420 426 432 448 450 480 486 497 500 504 512 525 540 560 567 568 576 600 630 639 640 648 672 675 700 710 720 729 750 756 768 800 810 840 852 864 875 896 900 945 960 972 994 1000 1008 1050 1065 1080 1120 1125 1134 1136 1152 1200 1215 1260 1278 1280 1296 1344 1350 1400 1420 1440 1458 1491 1500 1512 1536 1575 1600 1620 1680 1701 1704 1728 1750 1775 1792 1800 1890 1917 1920 1944 1988 2000 2016 2025 2100 2130 2160 2187 2240 2250 2268 2272 2304 2400 2430 2485 2520 2556 2560 2592 2625 2688 2700 2800 2835 2840 2880 2916 2982 3000 3024 3150 3195 3200 3240 3360 3375 3402 3408 3456 3500 3550 3584 3600 3645 3780 3834 3840 3888 3976 4000 4032 4050 4200 4260 4320 4374 4473 4480 4500 4536 4544 4608 4725 4800 4860 4970 5040 5041 5103 5112 5184 5250 5325 5376 5400 5600 5670 5680 5751 5760 5832 5964 6000 6048 6075 6300 6390 6400 6480 6561 6720 6750 6804 6816 6912 7000 7100 7200 7290 7455 7560 7668 7680 7776 7875 7952 8000 8064 8100 8400 8505 8520 8640 8748 8875 8946 8960 9000 9072 9088 9450 9585 9600 9720 9940 10080 10082 10125 10206 10224 10368 10500 10650 10752 10800 10935 11200 11340 11360 11502 11520 11664 11928 12000 12096 12150 12425 12600 12780 12800 12960 13122 13419 13440 13500 13608 13632 13824 14000 14175 14200 14400 14580 14910 15120 15123 15309 15336 15552 15750 15904 15975 16000 16128 16200 16800 17010 17040 17253 17280 17496 17750 17892 17920 18000 18144 18176 18225 18900 19170 19200 19440 19683 19880 20160 20164 20250 20412 20448 20736 21000 21300 21600 21870 22365 22400 22680 22720 23004 23040 23328 23625 23856 24000 24192 24300 24850 25200 25205 25515 25560 25920 26244 26625 26838 26880 27000 27216 27264 28000 28350 28400 28755 28800 29160 29820 30240 30246 30375 30618 30672 31104 31500 31808 31950 32000 32256 32400 32805 33600 34020 34080 34506 34560 34992 35287 35500 35784 36000 36288 36352 36450 37275 37800 38340 38400 38880 39366 39760 40257 40320 40328 40500 40824 40896 41472 42000 42525 42600 43200 43740 44730 44800 45360 45369 45440 45927 46008 46656 47250 47712 47925 48000 48384 48600 49700 50400 50410 51030 51120 51759 51840 52488 53250 53676 53760 54000 54432 54528 54675 56000 56700 56800 57510 57600 58320 59049 59640 60480 60492 60750 61236 61344 62125 62208 63000 63616 63900 64000 64800 65610 67095 67200 68040 68160 69012 69120 69984 70574 70875 71000 71568 72000 72576 72900 74550 75600 75615 76545 76680 77760 78732 79520 79875 80514 80640 80656 81000 81648 81792 84000 85050 85200 86265 86400 87480 89460 89600 90720 90738 90880 91125 91854 92016 93312 94500 95424 95850 96000 96768 97200 98415 99400 100800 100820 102060 102240 103518 103680 104976 105861 106500 107352 108000 108864 109056 109350 111825 112000 113400 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58445434656000 59176002589200 60009467414400 60866745520320 63121069428480 63402859917000 65751113988000 66573002912850 66677186016000 67629717244800 70134521587200 71011203107040 73970003236500 75011834268000 75144130272000 75745283314176 76083431900400 78901336785600 80012623219200 81155660693760 84537146556000 85213443728448 85727810592000 87668151984000 88764003883800 90172956326400 94681604142720 95104289875500 97386792832512 98626670982000 100015779024000 101444575867200 105201782380800 106516804660560 110955004854750 112716195408000 113617924971264 116890869312000 118352005178400 120018934828800 121733491040640 126242138856960 126805719834000 131502227976000 133146005825700 133354372032000 135259434489600 142022406214080 147940006473000 150023668536000 150288260544000 152166863800800 157802673571200 162311321387520 166432507282125 169074293112000 170426887456896 171455621184000 175336303968000 177528007767600 189363208285440 190208579751000 197253341964000 200031558048000 202889151734400 210403564761600 213033609321120 221910009709500 225432390816000 227235849942528 236704010356800 240037869657600 243466982081280 253611439668000 263004455952000 266292011651400 270518868979200 284044812428160 295880012946000 300047337072000 304333727601600 315605347142400 332865014564250 338148586224000 340853774913792 350672607936000 355056015535200 378726416570880 380417159502000 394506683928000 400063116096000 405778303468800 426067218642240 443820019419000 450864781632000 473408020713600 486933964162560 507222879336000 526008911904000 532584023302800 568089624856320 591760025892000 600094674144000 608667455203200 631210694284800 665730029128500 676297172448000 681707549827584 710112031070400 760834319004000 789013367856000 811556606937600 852134437284480 887640038838000 946816041427200 1014445758672000 1052017823808000 1065168046605600 1136179249712640 1183520051784000 1200189348288000 1217334910406400 1331460058257000 1352594344896000 1420224062140800 1521668638008000 1578026735712000 1704268874568960 1775280077676000 1893632082854400 2028891517344000 2130336093211200 2367040103568000 2434669820812800 2662920116514000 2840448124281600 3043337276016000 3156053471424000 3408537749137920 3550560155352000 4057783034688000 4260672186422400 4734080207136000 5325840233028000 5680896248563200 6086674552032000 7101120310704000 8521344372844800 9468160414272000 10651680466056000 12173349104064000 14202240621408000 17042688745689600 21303360932112000 28404481242816000 42606721864224000 85213443728448000
- Sum of all divisors σ(n): 369463551083168256
- Sum of proper divisors (its aliquot sum) s(n): 284250107354720256
- 85213443728448000 is an abundant number, because the sum of its proper divisors (284250107354720256) is greater than itself. Its abundance is 199036663626272256
Bases of 85213443728448000
- Binary: 1001011101011110100101100111100111000010110011010000000002
- Hexadecimal: 0x12EBD2CF3859A00
- Base-36: NB1N7MI0000
Squares and roots of 85213443728448000
- 85213443728448000 squared (852134437284480002) is 7261330992061373783564488704000000
- 85213443728448000 cubed (852134437284480003) is 618763019885657365912590504892432539451392000000000
-
The
square root of 85213443728448000 is 291913418.2055494345 -
The
cube root of 85213443728448000 is 440050.6892849603
Scales and comparisons
How big is 85213443728448000?- 85,213,443,728,448,000 seconds is equal to 2,709,523,928 years, 4 weeks.
-
To count from 1 to 85,213,443,728,448,000 would take you about eight billion, one hundred twenty-eight million, five hundred seventy-one thousand, seven hundred eighty-four 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 85213443728448000 cubic inches would be around 36670.9 feet tall.
Recreational maths with 85213443728448000
- 85213443728448000 backwards is 00084482734431258
- 85213443728448000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 85213443728448000's digits is 63
- More coming soon!
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Cite this page
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"Number 85213443728448000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 85213443728448000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/85213443728448000/
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The information we have on file for 85213443728448000 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!
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