642240144
642,240,144 is an even composite number composed of six prime numbers multiplied together.
642240144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 642240144:
24 × 33 × 7 × 13 × 17 × 312
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 17 × 31 × 31)See below for interesting mathematical facts about the number 642240144 from the Numbermatics database.
Names of 642240144
- Cardinal: 642240144 can be written as Six hundred forty-two million, two hundred forty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 6.42240144 × 108
Factors of 642240144
Divisors of 642240144
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 31 34 36 39 42 48 51 52 54 56 62 63 68 72 78 84 91 93 102 104 108 112 117 119 124 126 136 144 153 156 168 182 186 189 204 208 216 217 221 234 238 248 252 272 273 279 306 312 336 351 357 364 372 378 403 408 432 434 442 459 468 476 496 504 527 546 558 612 624 651 663 702 714 728 744 756 806 816 819 837 868 884 918 936 952 961 1008 1054 1071 1092 1116 1209 1224 1302 1326 1404 1428 1456 1488 1512 1547 1581 1612 1638 1674 1736 1768 1836 1872 1904 1922 1953 1989 2108 2142 2184 2232 2418 2448 2457 2604 2652 2808 2821 2856 2883 3024 3094 3162 3213 3224 3276 3348 3472 3536 3627 3672 3689 3844 3906 3978 4216 4284 4368 4464 4641 4743 4836 4914 5208 5304 5616 5642 5712 5766 5859 5967 6188 6324 6426 6448 6552 6696 6727 6851 7254 7344 7378 7688 7812 7956 8432 8463 8568 8649 9282 9486 9672 9828 10416 10608 10881 11067 11284 11532 11718 11934 12376 12493 12648 12852 13104 13392 13454 13702 13923 14229 14508 14756 15376 15624 15912 16337 16926 17136 17298 18564 18972 19344 19656 20181 20553 21762 22134 22568 23064 23436 23868 24752 24986 25296 25389 25704 25947 26908 27404 27846 28458 29016 29512 31248 31824 32674 33201 33852 34596 37128 37479 37944 39312 40362 41106 41769 43524 44268 45136 46128 46872 47736 47957 49011 49972 50778 51408 51894 53816 54808 55692 56916 58032 59024 60543 61659 65348 66402 67704 69192 74256 74958 75888 76167 80724 82212 83538 87048 87451 88536 93744 95472 95914 98022 99603 99944 101556 103788 107632 109616 111384 112437 113832 114359 121086 123318 130696 132804 135408 138384 143871 147033 149916 152334 161448 164424 167076 174096 174902 177072 181629 184977 191828 196044 199206 199888 203112 207576 212381 222768 224874 227664 228718 242172 246636 261392 262353 265608 287742 294066 299832 304668 322896 328848 334152 337311 343077 349804 363258 369954 383656 392088 398412 406224 415152 424762 431613 441099 449748 457436 484344 493272 524706 531216 575484 588132 599664 609336 637143 668304 674622 686154 699608 726516 739908 767312 784176 787059 796824 849524 863226 882198 899496 914872 968688 986544 1029231 1049412 1150968 1176264 1218672 1274286 1294839 1349244 1372308 1399216 1453032 1479816 1486667 1574118 1593648 1699048 1726452 1764396 1798992 1829744 1911429 2058462 2098824 2301936 2352528 2361177 2548572 2589678 2698488 2744616 2906064 2959632 2973334 3087693 3148236 3398096 3452904 3528792 3822858 4116924 4197648 4460001 4722354 5097144 5179356 5396976 5489232 5734287 5946668 6175386 6296472 6905808 7057584 7645716 8233848 8920002 9444708 10194288 10358712 11468574 11893336 12350772 12592944 13380003 15291432 16467696 17840004 18889416 20717424 22937148 23786672 24701544 26760006 30582864 35680008 37778832 40140009 45874296 49403088 53520012 71360016 80280018 91748592 107040024 160560036 214080048 321120072 642240144
- Sum of all divisors σ(n): 2482341120
- Sum of proper divisors (its aliquot sum) s(n): 1840100976
- 642240144 is an abundant number, because the sum of its proper divisors (1840100976) is greater than itself. Its abundance is 1197860832
Bases of 642240144
- Binary: 1001100100011111001110100100002
- Hexadecimal: 0x2647CE90
- Base-36: AMDFO0
Squares and roots of 642240144
- 642240144 squared (6422401442) is 412472402565140736
- 642240144 cubed (6422401443) is 264906335219461955668905984
-
The
square root of 642240144 is 25342.4573394135 -
The
cube root of 642240144 is 862.7781726563
Scales and comparisons
How big is 642240144?- 642,240,144 seconds is equal to 20 years, 21 weeks, 6 days, 8 hours, 2 minutes, 24 seconds.
-
To count from 1 to 642,240,144 would take you about thirty 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 642240144 cubic inches would be around 71.9 feet tall.
Recreational maths with 642240144
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 642240144 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 642240144 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/642240144/
Chicago style:
Numbermatics. 2024. "Number 642240144 - Facts about the integer". https://numbermatics.com/n/642240144/
The information we have on file for 642240144 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 642240144, math, Factors of 642240144, curriculum, school, college, exams, university, Prime factorization of 642240144, STEM, science, technology, engineering, physics, economics, calculator, six hundred forty-two million, two hundred forty thousand, one hundred forty-four.