82428009494688
82,428,009,494,688 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82428009494688 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
82428009494688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 82428009494688:
25 × 39 × 11 × 132 × 17 × 41 × 101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 13 × 17 × 41 × 101)See below for interesting mathematical facts about the number 82428009494688 from the Numbermatics database.
Names of 82428009494688
- Cardinal: 82428009494688 can be written as Eighty-two trillion, four hundred twenty-eight billion, nine million, four hundred ninety-four thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 8.2428009494688 × 1013
Factors of 82428009494688
Divisors of 82428009494688
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 41 44 48 51 52 54 66 68 72 78 81 82 88 96 99 101 102 104 108 117 123 132 136 143 144 153 156 162 164 169 176 187 198 202 204 208 216 221 234 243 246 264 272 286 288 297 303 306 312 324 328 338 351 352 369 374 396 404 408 416 429 432 442 451 459 468 486 492 507 528 533 544 561 572 594 606 612 624 648 656 663 676 697 702 729 738 748 792 808 816 858 864 884 891 902 909 918 936 972 984 1014 1053 1056 1066 1107 1111 1122 1144 1188 1212 1224 1248 1287 1296 1312 1313 1326 1352 1353 1377 1394 1404 1458 1476 1496 1521 1584 1599 1616 1632 1683 1716 1717 1768 1782 1804 1818 1836 1859 1872 1944 1968 1989 2028 2091 2106 2132 2187 2214 2222 2244 2288 2376 2424 2431 2448 2574 2592 2626 2652 2673 2704 2706 2727 2754 2788 2808 2873 2916 2952 2992 3042 3159 3168 3198 3232 3321 3333 3366 3432 3434 3536 3564 3608 3636 3672 3718 3744 3861 3888 3936 3939 3978 4056 4059 4131 4141 4182 4212 4264 4374 4428 4444 4488 4563 4576 4752 4797 4848 4862 4896 5049 5148 5151 5252 5304 5346 5408 5412 5454 5508 5576 5577 5616 5746 5832 5863 5904 5967 5984 6084 6273 6318 6396 6561 6642 6666 6732 6864 6868 6929 7072 7128 7216 7272 7293 7344 7436 7667 7722 7776 7878 7956 8019 8112 8118 8181 8262 8282 8364 8424 8528 8619 8748 8856 8888 8976 9061 9126 9477 9504 9594 9696 9724 9963 9999 10098 10296 10302 10504 10608 10692 10824 10908 11016 11152 11154 11232 11492 11583 11664 11726 11808 11817 11934 12168 12177 12393 12423 12546 12636 12792 13122 13284 13332 13464 13689 13728 13736 13858 14256 14391 14432 14443 14544 14586 14688 14872 15147 15334 15444 15453 15756 15912 16038 16224 16236 16362 16524 16564 16728 16731 16848 17056 17069 17238 17496 17589 17712 17776 17901 17952 18122 18252 18819 18887 18954 19188 19448 19683 19926 19998 20196 20592 20604 20787 21008 21216 21384 21648 21816 21879 22032 22304 22308 22321 22984 23001 23166 23328 23452 23634 23868 24057 24336 24354 24543 24786 24846 25092 25272 25584 25857 26244 26568 26664 26928 27183 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1248909234768 1526444620272 1585154028744 1616235480288 1717250197806 1873363852152 2010439255968 2113538704992 2289666930408 2424353220432 2497818469536 2575875296709 3052889240544 3170308057488 3434500395612 3746727704304 4579333860816 4848706440864 5151750593418 6340616114976 6869000791224 7493455408608 9158667721632 10303501186836 13738001582448 20607002373672 27476003164896 41214004747344 82428009494688
- Sum of all divisors σ(n): 314970622775424
- Sum of proper divisors (its aliquot sum) s(n): 232542613280736
- 82428009494688 is an abundant number, because the sum of its proper divisors (232542613280736) is greater than itself. Its abundance is 150114603786048
Bases of 82428009494688
- Binary: 100101011110111110001000011100110111000101000002
- Hexadecimal: 0x4AF7C439B8A0
- Base-36: T7UWKMI00
Squares and roots of 82428009494688
- 82428009494688 squared (824280094946882) is 6794376749256375077100217344
- 82428009494688 cubed (824280094946883) is 560046951198191873498730083273740413468672
-
The
square root of 82428009494688 is 9078987.2504970507 -
The
cube root of 82428009494688 is 43520.2723134193
Scales and comparisons
How big is 82428009494688?- 82,428,009,494,688 seconds is equal to 2,620,955 years, 38 weeks, 1 day, 16 hours, 4 minutes, 48 seconds.
-
To count from 1 to 82,428,009,494,688 would take you about six million, five hundred fifty-two thousand, three hundred eighty-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 82428009494688 cubic inches would be around 3626.7 feet tall.
Recreational maths with 82428009494688
- 82428009494688 backwards is 88649490082428
- 82428009494688 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82428009494688's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 82428009494688 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 82428009494688 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/82428009494688/
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The information we have on file for 82428009494688 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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