42752672916021600
42,752,672,916,021,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 42752672916021600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
42752672916021600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42752672916021600:
25 × 3 × 52 × 73 × 51934733863
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 51934733863)See below for interesting mathematical facts about the number 42752672916021600 from the Numbermatics database.
Names of 42752672916021600
- Cardinal: 42752672916021600 can be written as Forty-two quadrillion, seven hundred fifty-two trillion, six hundred seventy-two billion, nine hundred sixteen million, twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 4.27526729160216 × 1016
Factors of 42752672916021600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 51934733880
Divisors of 42752672916021600
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 70 75 80 84 96 98 100 105 112 120 140 147 150 160 168 175 196 200 210 224 240 245 280 294 300 336 343 350 392 400 420 480 490 525 560 588 600 672 686 700 735 784 800 840 980 1029 1050 1120 1176 1200 1225 1372 1400 1470 1568 1680 1715 1960 2058 2100 2352 2400 2450 2744 2800 2940 3360 3430 3675 3920 4116 4200 4704 4900 5145 5488 5600 5880 6860 7350 7840 8232 8400 8575 9800 10290 10976 11760 13720 14700 16464 16800 17150 19600 20580 23520 25725 27440 29400 32928 34300 39200 41160 51450 54880 58800 68600 82320 102900 117600 137200 164640 205800 274400 411600 823200 51934733863 103869467726 155804201589 207738935452 259673669315 311608403178 363543137041 415477870904 519347338630 623216806356 727086274082 779021007945 830955741808 1038694677260 1090629411123 1246433612712 1298368346575 1454172548164 1558042015890 1661911483616 1817715685205 2077389354520 2181258822246 2492867225424 2544801959287 2596736693150 2908345096328 3116084031780 3635431370410 3895105039725 4154778709040 4362517644492 4985734450848 5089603918574 5193473386300 5453147055615 5816690192656 6232168063560 7270862740820 7634405877861 7790210079450 8309557418080 8725035288984 9088578426025 10179207837148 10386946772600 10906294111230 11633380385312 12464336127120 12724009796435 14541725481640 15268811755722 15580420158900 17450070577968 17813613715009 18177156852050 20358415674296 20773893545200 21812588222460 24928672254240 25448019592870 27265735278075 29083450963280 30537623511444 31160840317800 34900141155936 35627227430018 36354313704100 38172029389305 40716831348592 41547787090400 43625176444920 50896039185740 53440841145027 54531470556150 58166901926560 61075247022888 62321680635600 63620048982175 71254454860036 72708627408200 76344058778610 81433662697184 87250352889840 89068068575045 101792078371480 106881682290054 109062941112300 122150494045776 124643361271200 127240097964350 142508909720072 145417254816400 152688117557220 174500705779680 178136137150090 190860146946525 203584156742960 213763364580108 218125882224600 244300988091552 254480195928700 267204205725135 285017819440144 290834509632800 305376235114440 356272274300180 381720293893050 407168313485920 427526729160216 436251764449200 445340342875225 508960391857400 534408411450270 570035638880288 610752470228880 712544548600360 763440587786100 855053458320432 872503528898400 890680685750450 1017920783714800 1068816822900540 1221504940457760 1336021028625675 1425089097200720 1526881175572200 1710106916640864 1781361371500900 2035841567429600 2137633645801080 2672042057251350 2850178194401440 3053762351144400 3562722743001800 4275267291602160 5344084114502700 6107524702288800 7125445486003600 8550534583204320 10688168229005400 14250890972007200 21376336458010800 42752672916021600
- Sum of all divisors σ(n): 162285656378227200
- Sum of proper divisors (its aliquot sum) s(n): 119532983462205600
- 42752672916021600 is an abundant number, because the sum of its proper divisors (119532983462205600) is greater than itself. Its abundance is 76780310546184000
Bases of 42752672916021600
- Binary: 100101111110001101010100010110100101101110100001011000002
- Hexadecimal: 0x97E3545A5BA160
- Base-36: BOYK2SSW8YO
Squares and roots of 42752672916021600
- 42752672916021600 squared (427526729160216002) is 1827791041464326858525971666560000
- 42752672916021600 cubed (427526729160216003) is 78142952554558840151170302011667255876957696000000
-
The
square root of 42752672916021600 is 206767194.9706277755 -
The
cube root of 42752672916021600 is 349666.8201190007
Scales and comparisons
How big is 42752672916021600?- 42,752,672,916,021,600 seconds is equal to 1,359,402,756 years, 1 week, 3 days, 16 hours, 40 minutes.
-
To count from 1 to 42,752,672,916,021,600 would take you about four billion, seventy-eight million, two hundred eight thousand, two hundred sixty-eight 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 42752672916021600 cubic inches would be around 29138.9 feet tall.
Recreational maths with 42752672916021600
- 42752672916021600 backwards is 00612061927625724
- 42752672916021600 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42752672916021600's digits is 60
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 42752672916021600 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 42752672916021600 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/42752672916021600/
Chicago style:
Numbermatics. 2024. "Number 42752672916021600 - Facts about the integer". https://numbermatics.com/n/42752672916021600/
The information we have on file for 42752672916021600 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 42752672916021600, math, Factors of 42752672916021600, curriculum, school, college, exams, university, Prime factorization of 42752672916021600, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven hundred fifty-two trillion, six hundred seventy-two billion, nine hundred sixteen million, twenty-one thousand, six hundred.