82049632460640
82,049,632,460,640 is an even composite number composed of six prime numbers multiplied together.
82049632460640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 82049632460640:
25 × 37 × 5 × 13 × 312 × 1372
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 31 × 31 × 137 × 137)See below for interesting mathematical facts about the number 82049632460640 from the Numbermatics database.
Names of 82049632460640
- Cardinal: 82049632460640 can be written as Eighty-two trillion, forty-nine billion, six hundred thirty-two million, four hundred sixty thousand, six hundred forty.
Scientific notation
- Scientific notation: 8.204963246064 × 1013
Factors of 82049632460640
Divisors of 82049632460640
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 65 72 78 80 81 90 93 96 104 108 117 120 124 130 135 137 144 155 156 160 162 180 186 195 208 216 234 240 243 248 260 270 274 279 288 310 312 324 351 360 372 390 403 405 411 416 432 465 468 480 486 496 520 540 548 558 585 620 624 648 685 702 720 729 744 780 806 810 822 837 864 930 936 961 972 992 1040 1053 1080 1096 1116 1170 1209 1215 1233 1240 1248 1296 1370 1395 1404 1440 1458 1488 1560 1612 1620 1644 1674 1755 1781 1860 1872 1922 1944 2015 2055 2080 2106 2160 2187 2192 2232 2340 2418 2430 2466 2480 2511 2592 2740 2790 2808 2883 2916 2976 3120 3159 3224 3240 3288 3348 3510 3562 3627 3645 3699 3720 3744 3844 3888 4030 4110 4185 4212 4247 4320 4374 4384 4464 4680 4805 4836 4860 4932 4960 5022 5265 5343 5480 5580 5616 5766 5832 6045 6165 6240 6318 6448 6480 6576 6696 7020 7124 7254 7290 7398 7440 7533 7688 7776 8060 8220 8370 8424 8494 8649 8748 8905 8928 9360 9477 9610 9672 9720 9864 10044 10530 10686 10881 10935 10960 11097 11160 11232 11532 11664 12090 12330 12493 12555 12636 12741 12896 12960 13152 13392 14040 14248 14415 14508 14580 14796 14880 15066 15376 15795 16029 16120 16440 16740 16848 16988 17298 17496 17810 18135 18495 18720 18769 18954 19220 19344 19440 19728 20088 21060 21235 21372 21762 21870 21920 22194 22320 22599 23064 23328 24180 24660 24986 25110 25272 25482 25947 26715 26784 28080 28431 28496 28830 29016 29160 29592 30132 30752 31590 32058 32240 32643 32880 33291 33480 33696 33976 34596 34992 35620 36270 36990 37479 37538 37665 37908 38223 38440 38688 38880 39456 40176 42120 42470 42744 43245 43524 43740 44388 44640 45198 46128 47385 48087 48360 49320 49972 50220 50544 50964 51894 53430 54405 55211 55485 56160 56307 56862 56992 57660 58032 58320 59184 60264 62465 63180 63705 64116 64480 65286 65760 66582 66960 67797 67952 69192 69984 71240 72540 73980 74958 75076 75330 75816 76446 76880 77841 80145 80352 84240 84940 85488 86490 87048 87480 88776 90396 92256 93845 94770 96174 96720 97929 98640 99873 99944 100440 101088 101928 103788 106860 108810 110422 110970 112437 112614 112995 113724 114669 115320 116064 116640 118368 120528 124930 126360 127410 128232 129735 130572 131657 133164 133920 135594 135904 138384 142155 142480 144261 145080 147960 149916 150152 150660 151632 152892 153760 155682 160290 163215 165633 166455 168480 168921 169880 170976 172980 174096 174960 177552 180792 187395 187690 189540 191115 192348 193440 195858 197280 199746 199888 200880 203856 207576 213720 217620 220844 221940 224874 225228 225990 227448 229338 230640 233523 240435 241056 243997 249860 252720 254820 256464 259470 261144 263314 266328 271188 276055 276768 281535 284310 284960 288522 290160 293787 295920 299619 299832 300304 301320 303264 305784 311364 320580 326430 331266 332910 337311 337842 338985 339760 344007 345960 348192 349920 355104 361584 374790 375380 379080 382230 384696 389205 391716 394971 399492 399776 401760 407712 415152 427440 432783 435240 441688 443880 449748 450456 451980 454896 458676 461280 467046 480870 487994 489645 496899 499365 499720 505440 506763 509640 512928 518940 522288 526628 532656 542376 552110 562185 563070 568620 573345 577044 580320 581839 587574 591840 599238 599664 600608 602640 611568 622728 641160 652860 658285 662532 665820 674622 675684 677970 679520 688014 691920 700569 721305 723168 731991 749580 750760 758160 764460 769392 778410 783432 789942 798984 828165 830304 844605 854880 865566 870480 881361 883376 887760 899496 900912 903960 909792 917352 934092 961740 975988 979290 993798 998730 999440 1011933 1013526 1019280 1032021 1037880 1044576 1053256 1065312 1084752 1104220 1124370 1126140 1137240 1146690 1154088 1163678 1167615 1175148 1184913 1198476 1199328 1205280 1219985 1223136 1245456 1282320 1298349 1305720 1316570 1325064 1331640 1349244 1351368 1355940 1376028 1383840 1401138 1442610 1463982 1468935 1490697 1498095 1499160 1501520 1516320 1520289 1528920 1538784 1556820 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50899275720 52595918244 55140882030 56275468080 56978911431 58439909160 58816940832 59890242672 63309901590 65744897805 66169058436 66544714080 67530561696 67865700960 70127890992 73521176040 74862803340 75971881908 77919878880 78893877366 82711323045 84413202120 85379430240 87659863740 88225411248 94964852385 98028234720 99817071120 101295842544 101798551440 105191836488 110281764060 112550936160 113957822862 116879818320 119780485344 126619803180 131489795610 132338116872 140255781984 147042352080 149725606680 151943763816 157787754732 165422646090 168826404240 170936734293 175319727480 176450822496 189929704770 197234693415 199634142240 202591685088 203597102880 210383672976 220563528120 227915645724 233759636640 253239606360 262979591220 264676233744 284894557155 294084704160 299451213360 303887527632 315575509464 330845292180 337652808480 341873468586 350639454960 379859409540 394469386830 420767345952 441127056240 455831291448 506479212720 512810202879 525959182440 529352467488 569789114310 598902426720 607775055264 631151018928 661690584360 683746937172 701278909920 759718819080 788938773660 854683671465 882254112480 911662582896 1012958425440 1025620405758 1051918364880 1139578228620 1262302037856 1323381168720 1367493874344 1519437638160 1577877547320 1709367342930 1823325165792 2051240811516 2103836729760 2279156457240 2564051014395 2646762337440 2734987748688 3038875276320 3155755094640 3418734685860 4102481623032 4558312914480 5128102028790 5469975497376 6311510189280 6837469371720 8204963246064 9116625828960 10256204057580 13674938743440 16409926492128 20512408115160 27349877486880 41024816230320 82049632460640
- Sum of all divisors σ(n): 325885886141760
- Sum of proper divisors (its aliquot sum) s(n): 243836253681120
- 82049632460640 is an abundant number, because the sum of its proper divisors (243836253681120) is greater than itself. Its abundance is 161786621220480
Bases of 82049632460640
- Binary: 100101010011111101010110011001001011111011000002
- Hexadecimal: 0x4A9FAB325F60
- Base-36: T312WPI00
Squares and roots of 82049632460640
- 82049632460640 squared (820496324606402) is 6732142186926109181149209600
- 82049632460640 cubed (820496324606403) is 552369792110056446490756917975439110144000
-
The
square root of 82049632460640 is 9058125.2177611235 -
The
cube root of 82049632460640 is 43453.5784274601
Scales and comparisons
How big is 82049632460640?- 82,049,632,460,640 seconds is equal to 2,608,924 years, 26 weeks, 5 days, 20 hours, 24 minutes.
-
To count from 1 to 82,049,632,460,640 would take you about six million, five hundred twenty-two thousand, three hundred eleven 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 82049632460640 cubic inches would be around 3621.1 feet tall.
Recreational maths with 82049632460640
- 82049632460640 backwards is 04606423694028
- 82049632460640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82049632460640's digits is 54
- More coming soon!
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"Number 82049632460640 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 82049632460640 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/82049632460640/
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The information we have on file for 82049632460640 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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