428213346120000
428,213,346,120,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428213346120000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5880 divisors.
428213346120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, eight hundred eighty divisors.
Prime factorization of 428213346120000:
26 × 36 × 54 × 72 × 173 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 17 × 61)See below for interesting mathematical facts about the number 428213346120000 from the Numbermatics database.
Names of 428213346120000
- Cardinal: 428213346120000 can be written as Four hundred twenty-eight trillion, two hundred thirteen billion, three hundred forty-six million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 4.2821334612 × 1014
Factors of 428213346120000
Divisors of 428213346120000
- Number of divisors d(n): 5880
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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 30 32 34 35 36 40 42 45 48 49 50 51 54 56 60 61 63 64 68 70 72 75 80 81 84 85 90 96 98 100 102 105 108 112 119 120 122 125 126 135 136 140 144 147 150 153 160 162 168 170 175 180 183 189 192 196 200 204 210 216 224 225 238 240 243 244 245 250 252 255 270 272 280 288 289 294 300 305 306 315 320 324 336 340 350 357 360 366 375 378 392 400 405 408 420 425 427 432 441 448 450 459 476 480 486 488 490 500 504 510 525 540 544 549 560 567 576 578 588 595 600 610 612 625 630 648 672 675 680 700 714 720 729 732 735 750 756 765 784 800 810 816 833 840 850 854 864 867 875 882 900 915 918 945 952 960 972 976 980 1000 1008 1020 1037 1050 1071 1080 1088 1098 1120 1125 1134 1156 1176 1190 1200 1215 1220 1224 1225 1250 1260 1275 1281 1296 1323 1344 1350 1360 1377 1400 1428 1440 1445 1458 1464 1470 1500 1512 1525 1530 1568 1575 1600 1620 1632 1647 1666 1680 1700 1701 1708 1728 1734 1750 1764 1785 1800 1830 1836 1875 1890 1904 1944 1952 1960 2000 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3171950712000 3398518620000 3425706768960 3509945460000 3568444551000 3598431480000 3823333447500 3964938390000 4078222344000 4198170060000 4282133461200 4369523940000 4460555688750 4757926068000 5037804072000 5097777930000 5286584520000 5352666826500 5709511281600 5947407585000 6117333516000 6297255090000 6690833533125 6797037240000 7019890920000 7136889102000 7646666895000 7929876780000 8396340120000 8564266922400 8739047880000 8921111377500 9515852136000 10195555860000 10705333653000 11894815170000 12234667032000 12594510180000 13381667066250 14273778204000 15293333790000 15859753560000 17128533844800 17842222755000 20391111720000 21410667306000 23789630340000 25189020360000 26763334132500 28547556408000 30586667580000 35684445510000 42821334612000 47579260680000 53526668265000 61173335160000 71368891020000 85642669224000 107053336530000 142737782040000 214106673060000 428213346120000
- Sum of all divisors σ(n): 1999916967244680
- Sum of proper divisors (its aliquot sum) s(n): 1571703621124680
- 428213346120000 is an abundant number, because the sum of its proper divisors (1571703621124680) is greater than itself. Its abundance is 1143490275004680
Bases of 428213346120000
- Binary: 11000010101110101001100000110001000110001010000002
- Hexadecimal: 0x1857530623140
- Base-36: 47SEHU5000
Squares and roots of 428213346120000
- 428213346120000 squared (4282133461200002) is 183366669795286919054400000000
- 428213346120000 cubed (4282133461200003) is 78520055239920947013750210308928000000000000
-
The
square root of 428213346120000 is 20693316.4601520555 -
The
cube root of 428213346120000 is 75373.7401794335
Scales and comparisons
How big is 428213346120000?- 428,213,346,120,000 seconds is equal to 13,615,859 years, 44 weeks, 3 days, 12 hours.
-
To count from 1 to 428,213,346,120,000 would take you about thirty-four million, thirty-nine thousand, six hundred forty-nine 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 428213346120000 cubic inches would be around 6281.1 feet tall.
Recreational maths with 428213346120000
- 428213346120000 backwards is 000021643312824
- 428213346120000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428213346120000's digits is 36
- More coming soon!
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Cite this page
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"Number 428213346120000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 428213346120000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/428213346120000/
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Numbermatics. 2024. "Number 428213346120000 - Facts about the integer". https://numbermatics.com/n/428213346120000/
The information we have on file for 428213346120000 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 428213346120000, math, Factors of 428213346120000, curriculum, school, college, exams, university, Prime factorization of 428213346120000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, two hundred thirteen billion, three hundred forty-six million, one hundred twenty thousand.