82688256001728
82,688,256,001,728 is an even composite number composed of five prime numbers multiplied together.
What does the number 82688256001728 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1134 divisors.
82688256001728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred thirty-four divisors.
Prime factorization of 82688256001728:
26 × 35 × 132 × 712 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 71 × 71 × 79 × 79)See below for interesting mathematical facts about the number 82688256001728 from the Numbermatics database.
Names of 82688256001728
- Cardinal: 82688256001728 can be written as Eighty-two trillion, six hundred eighty-eight billion, two hundred fifty-six million, one thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 8.2688256001728 × 1013
Factors of 82688256001728
Divisors of 82688256001728
- Number of divisors d(n): 1134
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 71 72 78 79 81 96 104 108 117 142 144 156 158 162 169 192 208 213 216 234 237 243 284 288 312 316 324 338 351 416 426 432 468 474 486 507 568 576 624 632 639 648 676 702 711 832 852 864 923 936 948 972 1014 1027 1053 1136 1248 1264 1278 1296 1352 1404 1422 1521 1704 1728 1846 1872 1896 1917 1944 2028 2054 2106 2133 2272 2496 2528 2556 2592 2704 2769 2808 2844 3042 3081 3159 3408 3692 3744 3792 3834 3888 4056 4108 4212 4266 4544 4563 5041 5056 5112 5184 5408 5538 5609 5616 5688 5751 6084 6162 6241 6318 6399 6816 7384 7488 7584 7668 7776 8112 8216 8307 8424 8532 9126 9243 10082 10224 10816 11076 11218 11232 11376 11502 11999 12168 12324 12482 12636 12798 13351 13632 13689 14768 15123 15168 15336 15552 16224 16432 16614 16827 16848 17064 17253 18252 18486 18723 19197 20164 20448 22152 22436 22464 22752 23004 23998 24336 24648 24921 24964 25272 25596 26702 27378 27729 29536 30246 30672 32448 32864 33228 33654 33696 34128 34506 35997 36504 36972 37446 38394 40053 40328 40896 41067 44304 44872 45369 45504 46008 47996 48672 49296 49842 49928 50481 50544 51192 53404 54756 55458 56169 59072 60492 61344 65533 65728 66456 67308 67392 68256 69012 71994 72917 73008 73944 74763 74892 76788 80106 80656 81133 82134 83187 88608 89744 90738 92016 95992 97344 98592 99684 99856 100962 101088 102384 106808 107991 109512 110916 112338 120159 120984 122688 131066 132912 134616 136107 136512 138024 143988 145834 146016 147888 149526 149784 151443 153576 160212 161312 162266 164268 166374 168507 177216 179488 181476 184032 191984 196599 197184 199368 199712 201924 202176 204768 213616 215982 218751 219024 221832 224289 224676 240318 241968 243399 249561 262132 265824 269232 272214 276048 287976 291668 292032 295776 299052 299568 302886 307152 320424 322624 323973 324532 328536 332748 337014 358976 360477 362952 368064 383968 393198 398239 398736 399424 403848 408321 409536 427232 431964 437502 438048 443111 443664 448578 449352 454329 480636 483936 486798 499122 505521 524264 531648 538464 544428 552096 575952 583336 589797 591552 598104 599136 605772 614304 640848 647946 649064 656253 657072 665496 674028 720954 725904 730197 767936 786396 796478 797472 807696 816642 851929 854464 863928 875004 876096 886222 887328 897156 898704 908658 947921 961272 967872 971919 973596 998244 1011042 1048528 1054729 1076928 1081431 1088856 1104192 1151904 1166672 1179594 1194717 1196208 1198272 1211544 1224963 1228608 1281696 1295892 1298128 1312506 1314144 1329333 1330992 1348056 1362987 1441908 1451808 1460394 1516563 1572792 1592956 1594944 1615392 1633284 1703858 1727856 1750008 1769391 1772444 1774656 1794312 1797408 1817316 1895842 1922544 1943838 1947192 1968759 1996488 2022084 2097056 2109458 2162862 2177712 2190591 2303808 2333344 2359188 2389434 2392416 2423088 2449926 2555787 2563392 2591784 2596256 2625012 2628288 2658666 2661984 2696112 2725974 2843763 2883816 2903616 2915757 2920788 3033126 3145584 3164187 3185912 3230784 3244293 3266568 3407716 3455712 3500016 3538782 3544888 3584151 3588624 3594816 3634632 3791684 3845088 3887676 3894384 3937518 3987999 3992976 4044168 4194112 4218916 4325724 4355424 4381182 4666688 4718376 4778868 4784832 4846176 4899852 5111574 5177107 5183568 5192512 5250024 5308173 5317332 5323968 5392224 5451948 5687526 5760443 5767632 5831514 5841576 5906277 6066252 6291168 6328374 6371824 6488586 6533136 6571773 6815432 6911424 7000032 7077564 7089776 7168302 7177248 7269264 7583368 7667361 7690176 7775352 7788768 7875036 7975998 7985952 8088336 8437832 8531289 8651448 8710848 8762364 9436752 9492561 9557736 9692352 9799704 10223148 10354214 10367136 10500048 10616346 10634664 10752453 10784448 10903896 11375052 11520886 11535264 11663028 11683152 11812554 11963997 12132504 12582336 12656748 12743648 12977172 13066272 13143546 13630864 14000064 14155128 14179552 14336604 14354496 14538528 15166736 15334722 15531321 15550704 15577536 15750072 15924519 15951996 15971904 16176672 16875664 17062578 17281329 17302896 17524728 17718831 18873504 18985122 19115472 19599408 19715319 20446296 20708428 20734272 21000096 21232692 21269328 21504906 21807792 22750104 23002083 23041772 23070528 23326056 23366304 23625108 23927994 24265008 25313496 25487296 25593867 25954344 26132544 26287092 27261728 28310256 28359104 28477683 28673208 29077056 30333472 30669444 31062642 31101408 31460881 31500144 31849038 31903992 32257359 32353344 33751328 34125156 34562658 34605792 35049456 35437662 35891991 37747008 37970244 38230944 39198816 39430638 40892592 41416856 42000192 42465384 42538656 43009812 43615584 45500208 46004166 46083544 46593963 46652112 46732608 47250216 47855988 48530016 50626992 51187734 51843987 51908688 52574184 54523456 56620512 56955366 57346416 60666944 61338888 62125284 62202816 62921762 63000288 63698076 63807984 64514718 67302391 67502656 68250312 69006249 69125316 69211584 70098912 70875324 71783982 74885759 75940488 76461888 76781601 78397632 78861276 81785184 82833712 84930768 85077312 85433049 86019624 87231168 91000416 92008332 92167088 93187926 93304224 94382643 94500432 95711976 96772077 97060032 101253984 102375468 103687974 103817376 105148368 107675973 113241024 113910732 114692832 122677776 124250568 125843524 126000576 127396152 127615968 129029436 134604782 136500624 138012498 138250632 139781889 140197824 141750648 143567964 149771518 151880976 153563202 155531961 157722552 163570368 165667424 169861536 170866098 172039248 182000832 184016664 184334176 186375852 186608448 188765286 189000864 191423952 193544154 201907173 202507968 204750936 207018747 207375948 207634752 210296736 215351946 224657277 227821464 229385664 230344803 245355552 248501136 251687048 254792304 255231936 256299147 258058872 269209564 273001248 276024996 276501264 279563778 283147929 283501296 287135928 299543036 303761952 307126404 311063922 315445104 331334848 339723072 341732196 344078496 368033328 368668352 372751704 377530572 378001728 382847904 387088308 403814346 408991453 409501872 414037494 414751896 419345667 420593472 430703892 449314554 455642928 460689606 466595883 490711104 497002272 503374096 509584608 512598294 516117744 538419128 546002496 552049992 553002528 559127556 566295858 567002592 574271856 599086072 605721519 607523904 614252808 622127844 630890208 673971831 683464392 688156992 736066656 745503408 755061144 765695808 774176616 807628692 817982906 819003744 828074988 829503792 838691334 849443787 861407784 898629108 911285856 921379212 933191766 994004544 1006748192 1019169216 1025196588 1032235488 1076838256 1104099984 1106005056 1118255112 1132591716 1134005184 1148543712 1198172144 1211443038 1226974359 1228505616 1244255688 1258037001 1261780416 1347943662 1366928784 1399787649 1472133312 1491006816 1510122288 1548353232 1615257384 1635965812 1638007488 1656149976 1659007584 1677382668 1698887574 1722815568 1797258216 1817164557 1822571712 1842758424 1866383532 2013496384 2021915493 2050393176 2064470976 2153676512 2208199968 2236510224 2265183432 2297087424 2396344288 2422886076 2453948718 2457011232 2488511376 2516074002 2548331361 2695887324 2733857568 2799575298 2982013632 3020244576 3096706464 3230514768 3271931624 3312299952 3318015168 3354765336 3397775148 3445631136 3594516432 3634329114 3680923077 3685516848 3732767064 4043830986 4100786352 4307353024 4416399936 4473020448 4530366864 4792688576 4845772152 4907897436 4914022464 4977022752 5032148004 5096662722 5316888889 5391774648 5451493671 5467715136 5599150596 6040489152 6065746479 6193412928 6461029536 6543863248 6624599904 6709530672 6795550296 6891262272 7189032864 7268658228 7361846154 7371033696 7465534128 7644994083 8087661972 8201572704 8946040896 9060733728 9691544304 9815794872 9954045504 10064296008 10193325444 10633777778 10783549296 10902987342 11042769231 11198301192 12131492958 12922059072 13087726496 13249199808 13419061344 13591100592 14378065728 14537316456 14723692308 14742067392 14931068256 15289988166 15950666667 16175323944 16354481013 16403145408 18121467456 18197239437 19383088608 19631589744 20128592016 20386650888 21267555556 21567098592 21805974684 22085538462 22396602384 24262985916 26175452992 26838122688 27182201184 29074632912 29447384616 29862136512 30579976332 31901333334 32350647888 32708962026 33128307693 36394478874 38766177216 39263179488 40257184032 40773301776 42535111112 43134197184 43611949368 44171076924 44793204768 47852000001 48525971832 54364402368 58149265824 58894769232 61159952664 63802666668 64701295776 65417924052 66256615386 72788957748 78526358976 80514368064 81546603552 85070222224 87223898736 88342153848 89586409536 95704000002 97051943664 99384923079 116298531648 117789538464 122319905328 127605333336 129402591552 130835848104 132513230772 143556000003 145577915496 163093207104 170140444448 174447797472 176684307696 191408000004 194103887328 198769846158 235579076928 244639810656 255210666672 261671696208 265026461544 287112000006 291155830992 340280888896 348895594944 353368615392 382816000008 388207774656 397539692316 430668000009 489279621312 510421333344 523343392416 530052923088 574224000012 582311661984 706737230784 765632000016 795079384632 861336000018 1020842666688 1046686784832 1060105846176 1148448000024 1164623323968 1292004000027 1531264000032 1590158769264 1722672000036 2120211692352 2296896000048 2584008000054 3062528000064 3180317538528 3445344000072 4593792000096 5168016000108 6360635077056 6890688000144 9187584000192 10336032000216 13781376000288 20672064000432 27562752000576 41344128000864 82688256001728
- Sum of all divisors σ(n): 273412129460652
- Sum of proper divisors (its aliquot sum) s(n): 190723873458924
- 82688256001728 is an abundant number, because the sum of its proper divisors (190723873458924) is greater than itself. Its abundance is 108035617457196
Bases of 82688256001728
- Binary: 100101100110100010111000010000001000110110000002
- Hexadecimal: 0x4B345C2046C0
- Base-36: TB6GKOC00
Squares and roots of 82688256001728
- 82688256001728 squared (826882560017282) is 6837347680607306612738985984
- 82688256001728 cubed (826882560017283) is 565368355386878141456743560052216871780352
-
The
square root of 82688256001728 is 9093308.3089559873 -
The
cube root of 82688256001728 is 43566.0257738721
Scales and comparisons
How big is 82688256001728?- 82,688,256,001,728 seconds is equal to 2,629,230 years, 40 weeks, 28 minutes, 48 seconds.
-
To count from 1 to 82,688,256,001,728 would take you about six million, five hundred seventy-three thousand and seventy-six 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 82688256001728 cubic inches would be around 3630.5 feet tall.
Recreational maths with 82688256001728
- 82688256001728 backwards is 82710065288628
- The number of decimal digits it has is: 14
- The sum of 82688256001728's digits is 63
- More coming soon!
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The information we have on file for 82688256001728 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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