82988731408394448
82,988,731,408,394,448 is an even composite number composed of five prime numbers multiplied together.
What does the number 82988731408394448 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2100 divisors.
82988731408394448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 82988731408394448:
24 × 34 × 72 × 133 × 296
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 13 × 13 × 13 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 82988731408394448 from the Numbermatics database.
Names of 82988731408394448
- Cardinal: 82988731408394448 can be written as Eighty-two quadrillion, nine hundred eighty-eight trillion, seven hundred thirty-one billion, four hundred eight million, three hundred ninety-four thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 8.2988731408394448 × 1016
Factors of 82988731408394448
Divisors of 82988731408394448
- Number of divisors d(n): 2100
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 36 39 42 48 49 52 54 56 58 63 72 78 81 84 87 91 98 104 108 112 116 117 126 144 147 156 162 168 169 174 182 189 196 203 208 216 232 234 252 261 273 294 312 324 336 338 348 351 364 377 378 392 406 432 441 464 468 504 507 522 546 567 588 609 624 637 648 676 696 702 728 754 756 783 784 812 819 841 882 936 1008 1014 1044 1053 1092 1131 1134 1176 1183 1218 1274 1296 1323 1352 1392 1404 1421 1456 1508 1512 1521 1566 1624 1638 1682 1764 1827 1872 1911 2028 2088 2106 2184 2197 2262 2268 2349 2352 2366 2436 2457 2523 2548 2639 2646 2704 2808 2842 3016 3024 3042 3132 3248 3276 3364 3393 3528 3549 3654 3822 3969 4056 4176 4212 4263 4368 4394 4524 4536 4563 4698 4732 4872 4901 4914 5046 5096 5278 5292 5481 5616 5684 5733 5887 6032 6084 6264 6552 6591 6728 6786 7056 7098 7308 7371 7569 7644 7917 7938 8112 8281 8424 8526 8788 9048 9072 9126 9396 9464 9744 9802 9828 10092 10179 10192 10556 10584 10647 10933 10962 11368 11466 11774 12168 12528 12789 13104 13182 13456 13572 13689 14196 14616 14703 14742 15138 15288 15379 15834 15876 16443 16562 16848 17052 17199 17576 17661 18096 18252 18473 18792 18928 19604 19656 19773 20184 20358 21112 21168 21294 21866 21924 22707 22736 22932 23548 23751 24336 24389 24843 25578 26364 27144 27378 28392 29232 29406 29484 30276 30537 30576 30758 31668 31752 31941 32799 32886 33124 34104 34307 34398 35152 35322 36504 36946 37584 38367 39208 39312 39546 40368 40716 41209 42224 42588 43732 43848 44109 45414 45864 46137 47096 47502 48778 49686 51156 51597 52728 52983 54288 54756 55419 56784 58812 58968 59319 60552 61074 61516 63336 63504 63713 63882 65598 65772 66248 68121 68208 68614 68796 70644 71253 73008 73167 73892 74529 76531 76734 78416 79092 81432 82418 85176 87464 87696 88218 90828 91728 92274 94192 95004 95823 97556 98397 99372 102312 102921 103194 105456 105966 107653 109512 110838 115101 117624 117936 118638 121104 122148 123032 123627 126672 127426 127764 131196 131544 132327 132496 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303988027136976 317964488154768 329320362731724 354652698326472 357710049174114 384207089853678 398984285617281 408811484770416 423411894940788 439093816975632 455982040705464 476946732232152 491057582298192 493980544097586 512276119804904 531979047489708 564549193254384 576310634780517 658640725463448 709305396652944 715420098348228 740970816146379 768414179707356 797968571234562 846823789881576 911964081410928 953893464464304 987961088195172 1024552239609808 1063958094979416 1152621269561034 1317281450926896 1430840196696456 1481941632292758 1536828359414712 1595937142469124 1693647579763152 1728931904341551 1975922176390344 2127916189958832 2305242539122068 2861680393392912 2963883264585516 3073656718829424 3191874284938248 3457863808683102 3951844352780688 4610485078244136 5186795713024653 5927766529171032 6383748569876496 6915727617366204 9220970156488272 10373591426049306 11855533058342064 13831455234732408 20747182852098612 27662910469464816 41494365704197224 82988731408394448
- Sum of all divisors σ(n): 313492265821687260
- Sum of proper divisors (its aliquot sum) s(n): 230503534413292812
- 82988731408394448 is an abundant number, because the sum of its proper divisors (230503534413292812) is greater than itself. Its abundance is 147514803004898364
Bases of 82988731408394448
- Binary: 1001001101101010111001111101111111111010100101000110100002
- Hexadecimal: 0x126D5CFBFF528D0
- Base-36: MP51SW70D00
Squares and roots of 82988731408394448
- 82988731408394448 squared (829887314083944482) is 6887129540774635140717001157224704
- 82988731408394448 cubed (829887314083944483) is 571554143634165194425260966858131678630768202043392
-
The
square root of 82988731408394448 is 288077648.2276860855 -
The
cube root of 82988731408394448 is 436187.3255319817 - Being both a perfect square and a perfect cube, 82988731408394448 is also a
perfect sixth number .
Scales and comparisons
How big is 82988731408394448?- 82,988,731,408,394,448 seconds is equal to 2,638,784,957 years, 40 weeks, 6 days, 4 hours, 40 minutes, 48 seconds.
-
To count from 1 to 82,988,731,408,394,448 would take you about seven billion, nine hundred sixteen million, three hundred fifty-four thousand, eight hundred seventy-three 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 82988731408394448 cubic inches would be around 36348.9 feet tall.
Recreational maths with 82988731408394448
- 82988731408394448 backwards is 84449380413788928
- The number of decimal digits it has is: 17
- The sum of 82988731408394448's digits is 90
- More coming soon!
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MLA style:
"Number 82988731408394448 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 82988731408394448 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/82988731408394448/
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The information we have on file for 82988731408394448 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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