480338129160000
480,338,129,160,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 480338129160000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2940 divisors.
480338129160000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred forty divisors.
Prime factorization of 480338129160000:
26 × 36 × 54 × 312 × 61 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 31 × 31 × 61 × 281)See below for interesting mathematical facts about the number 480338129160000 from the Numbermatics database.
Names of 480338129160000
- Cardinal: 480338129160000 can be written as Four hundred eighty trillion, three hundred thirty-eight billion, one hundred twenty-nine million, one hundred sixty thousand.
Scientific notation
- Scientific notation: 4.8033812916 × 1014
Factors of 480338129160000
Divisors of 480338129160000
- Number of divisors d(n): 2940
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 61 62 64 72 75 80 81 90 93 96 100 108 120 122 124 125 135 144 150 155 160 162 180 183 186 192 200 216 225 240 243 244 248 250 270 279 281 288 300 305 310 320 324 360 366 372 375 400 405 432 450 465 480 486 488 496 500 540 549 558 562 576 600 610 620 625 648 675 720 729 732 744 750 775 800 810 837 843 864 900 915 930 960 961 972 976 992 1000 1080 1098 1116 1124 1125 1200 1215 1220 1240 1250 1296 1350 1395 1405 1440 1458 1464 1488 1500 1525 1550 1600 1620 1647 1674 1686 1728 1800 1830 1860 1875 1891 1922 1944 1952 1984 2000 2025 2160 2196 2232 2248 2250 2325 2400 2430 2440 2480 2500 2511 2529 2592 2700 2745 2790 2810 2880 2883 2916 2928 2976 3000 3050 3100 3240 3294 3348 3372 3375 3600 3645 3660 3720 3750 3782 3844 3875 3888 3904 4000 4050 4185 4215 4320 4392 4464 4496 4500 4575 4650 4800 4805 4860 4880 4941 4960 5000 5022 5058 5184 5400 5490 5580 5620 5625 5673 5766 5832 5856 5952 6000 6075 6100 6200 6480 6588 6696 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30885939375 30989556720 31239472500 31497582240 31655340000 31751595000 31882260000 32022541944 32280788250 32404920000 32809981500 32945002000 33322104000 33356814525 34187767200 34432840800 34997313600 35580602160 35612257500 35867542500 36455535000 37063127250 37986408000 38258712000 38736945900 39371977800 39534002400 40028177430 41012476875 41181252500 41319408960 41652630000 42335460000 42696722592 42734709000 43041051000 43746642000 44475752700 47440802880 47483010000 47823390000 48033812916 48421182375 48607380000 49214972250 49417503000 49983156000 50802552000 51649261200 52495970400 53370903240 53418386250 53801313750 54683302500 55141560000 55536840000 55594690875 56979612000 57388068000 58328856000 59301003600 60042266145 61771878750 61979113440 62478945000 62995164480 63310680000 63503190000 63764520000 64045083888 64561576500 65619963000 65890004000 66713629050 68375534400 68865681600 71161204320 71224515000 71735085000 72911070000 74126254500 77473891800 78743955600 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1291231530000 1312399260000 1334272581000 1482525090000 1501056653625 1549477836000 1574879112000 1601127097200 1667840726250 1709388360000 1721642040000 1779030108000 1921352516640 1936847295000 1968598890000 1976700120000 2001408871500 2134836129600 2223787635000 2401690645800 2501761089375 2582463060000 2624798520000 2668545162000 2965050180000 3002113307250 3098955672000 3202254194400 3335681452500 3558060216000 3842705033280 3873694590000 3937197780000 4002817743000 4447575270000 4803381291600 5003522178750 5164926120000 5337090324000 5930100360000 6004226614500 6404508388800 6671362905000 7505283268125 7747389180000 7874395560000 8005635486000 8895150540000 9606762583200 10007044357500 10674180648000 12008453229000 13342725810000 15010566536250 15494778360000 16011270972000 17790301080000 19213525166400 20014088715000 24016906458000 26685451620000 30021133072500 32022541944000 40028177430000 48033812916000 53370903240000 60042266145000 80056354860000 96067625832000 120084532290000 160112709720000 240169064580000 480338129160000
- Sum of all divisors σ(n): 1882196506922292
- Sum of proper divisors (its aliquot sum) s(n): 1401858377762292
- 480338129160000 is an abundant number, because the sum of its proper divisors (1401858377762292) is greater than itself. Its abundance is 921520248602292
Bases of 480338129160000
- Binary: 11011010011011101011011111000111110000111010000002
- Hexadecimal: 0x1B4DD6F8F8740
- Base-36: 4Q9KAG5000
Squares and roots of 480338129160000
- 480338129160000 squared (4803381291600002) is 230724718324928842305600000000
- 480338129160000 cubed (4803381291600003) is 110825879551164289103196564991296000000000000
-
The
square root of 480338129160000 is 21916617.6487157799 -
The
cube root of 480338129160000 is 78315.7336594997
Scales and comparisons
How big is 480338129160000?- 480,338,129,160,000 seconds is equal to 15,273,266 years, 37 weeks, 4 days, 12 hours.
-
To count from 1 to 480,338,129,160,000 would take you about thirty-eight million, one hundred eighty-three thousand, one 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 480338129160000 cubic inches would be around 6526.3 feet tall.
Recreational maths with 480338129160000
- 480338129160000 backwards is 000061921833084
- 480338129160000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 480338129160000's digits is 45
- More coming soon!
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"Number 480338129160000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 480338129160000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/480338129160000/
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The information we have on file for 480338129160000 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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