542509380
542,509,380 is an even composite number composed of six prime numbers multiplied together.
542509380 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 542509380:
22 × 33 × 5 × 73 × 29 × 101
(2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 29 × 101)See below for interesting mathematical facts about the number 542509380 from the Numbermatics database.
Names of 542509380
- Cardinal: 542509380 can be written as Five hundred forty-two million, five hundred nine thousand, three hundred eighty.
Scientific notation
- Scientific notation: 5.4250938 × 108
Factors of 542509380
Divisors of 542509380
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 29 30 35 36 42 45 49 54 58 60 63 70 84 87 90 98 101 105 108 116 126 135 140 145 147 174 180 189 196 202 203 210 245 252 261 270 290 294 303 315 343 348 378 404 406 420 435 441 490 505 522 540 580 588 606 609 630 686 707 735 756 783 812 870 882 909 945 980 1010 1015 1029 1044 1212 1218 1260 1305 1323 1372 1414 1421 1470 1515 1566 1715 1740 1764 1818 1827 1890 2020 2030 2058 2121 2205 2436 2610 2646 2727 2828 2842 2929 2940 3030 3045 3087 3132 3430 3535 3636 3654 3780 3915 4060 4116 4242 4263 4410 4545 4949 5145 5220 5292 5454 5481 5684 5858 6060 6090 6174 6363 6615 6860 7070 7105 7308 7830 8484 8526 8787 8820 9090 9135 9261 9898 9947 10290 10605 10908 10962 11716 12180 12348 12726 12789 13230 13635 14140 14210 14645 14847 15435 15660 17052 17574 18180 18270 18522 19089 19796 19894 20503 20580 21210 21315 21924 24745 25452 25578 26361 26460 27270 27405 28420 29290 29694 29841 30870 31815 34643 35148 36540 37044 38178 38367 39788 41006 42420 42630 43935 44541 46305 49490 49735 51156 52722 54540 54810 58580 59388 59682 61509 61740 63630 63945 69286 74235 76356 76734 79083 82012 85260 87870 89082 89523 92610 95445 98980 99470 102515 103929 105444 109620 119364 123018 127260 127890 131805 133623 138572 143521 148470 149205 153468 158166 173215 175740 178164 179046 184527 185220 190890 191835 198940 205030 207858 222705 246036 255780 263610 267246 268569 287042 296940 298410 307545 311787 316332 346430 358092 369054 381780 383670 395415 410060 415716 430563 445410 447615 519645 527220 534492 537138 553581 574084 596820 615090 623574 668115 692860 717605 738108 767340 790830 861126 890820 895230 922635 935361 1004647 1039290 1074276 1107162 1230180 1247148 1291689 1336230 1342845 1435210 1558935 1581660 1722252 1790460 1845270 1870722 2009294 2078580 2152815 2214324 2583378 2672460 2685690 2767905 2870420 3013941 3117870 3690540 3741444 3875067 4018588 4305630 4676805 5023235 5166756 5371380 5535810 6027882 6235740 6458445 7750134 8611260 9041823 9353610 10046470 11071620 12055764 12916890 15069705 15500268 18083646 18707220 19375335 20092940 25833780 27125469 30139410 36167292 38750670 45209115 54250938 60278820 77501340 90418230 108501876 135627345 180836460 271254690 542509380
- Sum of all divisors σ(n): 2056320000
- Sum of proper divisors (its aliquot sum) s(n): 1513810620
- 542509380 is an abundant number, because the sum of its proper divisors (1513810620) is greater than itself. Its abundance is 971301240
Bases of 542509380
- Binary: 1000000101011000001001010001002
- Hexadecimal: 0x20560944
- Base-36: 8YZUX0
Squares and roots of 542509380
- 542509380 squared (5425093802) is 294316427387984400
- 542509380 cubed (5425093803) is 159669422546070436293672000
-
The
square root of 542509380 is 23291.8307567267 -
The
cube root of 542509380 is 815.5847259807
Scales and comparisons
How big is 542509380?- 542,509,380 seconds is equal to 17 years, 13 weeks, 1 hour, 3 minutes.
-
To count from 1 to 542,509,380 would take you about twenty-five 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 542509380 cubic inches would be around 68 feet tall.
Recreational maths with 542509380
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 542509380 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 542509380 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/542509380/
Chicago style:
Numbermatics. 2024. "Number 542509380 - Facts about the integer". https://numbermatics.com/n/542509380/
The information we have on file for 542509380 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 542509380, math, Factors of 542509380, curriculum, school, college, exams, university, Prime factorization of 542509380, STEM, science, technology, engineering, physics, economics, calculator, five hundred forty-two million, five hundred nine thousand, three hundred eighty.