968438032128000
968,438,032,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 968438032128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 5184 divisors.
968438032128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand, one hundred eighty-four divisors.
Prime factorization of 968438032128000:
211 × 38 × 53 × 73 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 41 × 41)See below for interesting mathematical facts about the number 968438032128000 from the Numbermatics database.
Names of 968438032128000
- Cardinal: 968438032128000 can be written as Nine hundred sixty-eight trillion, four hundred thirty-eight billion, thirty-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 9.68438032128 × 1014
Factors of 968438032128000
Divisors of 968438032128000
- Number of divisors d(n): 5184
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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 41 42 45 48 49 50 54 56 60 63 64 70 72 75 80 81 82 84 90 96 98 100 105 108 112 120 123 125 126 128 135 140 144 147 150 160 162 164 168 175 180 189 192 196 200 205 210 216 224 225 240 243 245 246 250 252 256 270 280 287 288 294 300 315 320 324 328 336 343 350 360 369 375 378 384 392 400 405 410 420 432 441 448 450 480 486 490 492 500 504 512 525 540 560 567 574 576 588 600 615 630 640 648 656 672 675 686 700 720 729 735 738 750 756 768 784 800 810 820 840 861 864 875 882 896 900 945 960 972 980 984 1000 1008 1024 1025 1029 1050 1080 1107 1120 1125 1134 1148 1152 1176 1200 1215 1225 1230 1260 1280 1296 1312 1323 1344 1350 1372 1400 1435 1440 1458 1470 1476 1500 1512 1536 1568 1575 1600 1620 1640 1680 1681 1701 1715 1722 1728 1750 1764 1792 1800 1845 1890 1920 1944 1960 1968 2000 2009 2016 2025 2048 2050 2058 2100 2160 2187 2205 2214 2240 2250 2268 2296 2304 2352 2400 2430 2450 2460 2520 2560 2583 2592 2624 2625 2646 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1921504032000 1936876064256 1968369984000 1976404147200 1992670848000 2017579233600 2152084515840 2161692036000 2196004608000 2241754704000 2305804838400 2362043980800 2391205017600 2421095080320 2470505184000 2521974042000 2562005376000 2582501419008 2624493312000 2690105644800 2766965806080 2823434496000 2882256048000 2952554976000 2989006272000 3026368850400 3074406451200 3228126773760 3294006912000 3362632056000 3374348544000 3458707257600 3586807526400 3782961063000 3843008064000 3873752128512 3936739968000 3952808294400 3985341696000 4035158467200 4304169031680 4323384072000 4483509408000 4611609676800 4724087961600 4842190160640 4941010368000 5043948084000 5124010752000 5380211289600 5533931612160 5764512096000 5905109952000 5978012544000 6052737700800 6456253547520 6588013824000 6725264112000 6917414515200 7173615052800 7565922126000 7686016128000 7747504257024 7873479936000 8070316934400 8646768144000 8967018816000 9223219353600 9684380321280 9882020736000 10087896168000 10760422579200 11529024192000 11810219904000 11956025088000 12105475401600 12912507095040 13450528224000 13834829030400 15131844252000 15372032256000 16140633868800 17293536288000 17934037632000 19368760642560 19764041472000 20175792336000 21520845158400 23058048384000 23620439808000 24210950803200 26901056448000 27669658060800 30263688504000 32281267737600 34587072576000 35868075264000 38737521285120 40351584672000 46116096768000 48421901606400 53802112896000 60527377008000 64562535475200 69174145152000 80703169344000 96843803212800 107604225792000 121054754016000 138348290304000 161406338688000 193687606425600 242109508032000 322812677376000 484219016064000 968438032128000
- Sum of all divisors σ(n): 4332743755704000
- Sum of proper divisors (its aliquot sum) s(n): 3364305723576000
- 968438032128000 is an abundant number, because the sum of its proper divisors (3364305723576000) is greater than itself. Its abundance is 2395867691448000
Bases of 968438032128000
- Binary: 110111000011001010000011001110010001011000000000002
- Hexadecimal: 0x370CA0CE45800
- Base-36: 9JA6AG0000
Squares and roots of 968438032128000
- 968438032128000 squared (9684380321280002) is 937872222071953160208384000000
- 968438032128000 cubed (9684380321280003) is 908271129130876925293598115366961152000000000
-
The
square root of 968438032128000 is 31119737.0189402469 -
The
cube root of 968438032128000 is 98936.6677251247
Scales and comparisons
How big is 968438032128000?- 968,438,032,128,000 seconds is equal to 30,793,333 years, 44 weeks.
-
To count from 1 to 968,438,032,128,000 would take you about seventy-six million, nine hundred eighty-three thousand, three hundred thirty-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 968438032128000 cubic inches would be around 8244.7 feet tall.
Recreational maths with 968438032128000
- 968438032128000 backwards is 000821230834869
- 968438032128000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 968438032128000's digits is 54
- More coming soon!
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"Number 968438032128000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 968438032128000 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/968438032128000/
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The information we have on file for 968438032128000 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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