82978695985006848
82,978,695,985,006,848 is an even composite number composed of six prime numbers multiplied together.
82978695985006848 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 82978695985006848:
28 × 3 × 13 × 31 × 532 × 4573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 53 × 53 × 457 × 457 × 457)See below for interesting mathematical facts about the number 82978695985006848 from the Numbermatics database.
Names of 82978695985006848
- Cardinal: 82978695985006848 can be written as Eighty-two quadrillion, nine hundred seventy-eight trillion, six hundred ninety-five billion, nine hundred eighty-five million, six thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 8.2978695985006848 × 1016
Factors of 82978695985006848
Divisors of 82978695985006848
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 53 62 64 78 93 96 104 106 124 128 156 159 186 192 208 212 248 256 312 318 372 384 403 416 424 457 496 624 636 689 744 768 806 832 848 914 992 1209 1248 1272 1371 1378 1488 1612 1643 1664 1696 1828 1984 2067 2418 2496 2544 2742 2756 2809 2976 3224 3286 3328 3392 3656 3968 4134 4836 4929 4992 5088 5484 5512 5618 5941 5952 6448 6572 6784 7312 7936 8268 8427 9672 9858 9984 10176 10968 11024 11236 11882 11904 12896 13144 13568 14167 14624 16536 16854 17823 19344 19716 20352 21359 21936 22048 22472 23764 23808 24221 25792 26288 28334 29248 33072 33708 35646 36517 38688 39432 40704 42501 42718 43872 44096 44944 47528 48442 51584 52576 56668 58496 64077 66144 67416 71292 72663 73034 77376 78864 85002 85436 87079 87744 88192 89888 95056 96884 103168 105152 109551 113336 116992 128154 132288 134832 142584 145326 146068 154752 157728 170004 170872 174158 175488 176384 179776 184171 190112 193768 208849 210304 219102 226672 256308 261237 264576 269664 285168 290652 292136 309504 314873 315456 340008 341744 348316 350976 359552 368342 380224 387536 417698 420608 438204 453344 512616 522474 529152 539328 552513 570336 581304 584272 626547 629746 630912 680016 683488 696632 719104 736684 750851 760448 775072 835396 876408 906688 944619 1025232 1044948 1078656 1105026 1132027 1140672 1162608 1168544 1253094 1259492 1261824 1283713 1360032 1366976 1393264 1473368 1501702 1520896 1550144 1670792 1752816 1813376 1889238 2050464 2089896 2157312 2210052 2252553 2264054 2281344 2325216 2337088 2506188 2518984 2567426 2715037 2720064 2733952 2786528 2946736 3003404 3100288 3341584 3396081 3505632 3626752 3778476 3851139 4100928 4179792 4420104 4505106 4528108 4562688 4650432 4674176 5012376 5037968 5134852 5430074 5440128 5467904 5573056 5893472 6006808 6200576 6474319 6683168 6792162 7011264 7556952 7702278 8145111 8201856 8359584 8840208 9010212 9056216 9300864 9348352 9761063 10024752 10075936 10269704 10860148 10880256 11068997 11146112 11786944 12013616 12948638 13366336 13584324 14022528 15113904 15404556 16290222 16403712 16688269 16719168 17680416 18020424 18112432 18601728 19422957 19522126 20049504 20151872 20539408 21720296 22137994 22292224 23573888 24027232 25897276 26732672 27168648 28045056 29283189 30227808 30809112 32580444 33206991 33376538 33438336 35360832 36040848 36224864 38845914 39044252 39795103 40099008 40303744 41078816 43440592 44275988 47147776 48054464 50064807 51794552 53465344 54337296 58566378 60455616 61618224 65160888 66413982 66753076 66876672 70721664 72081696 72449728 77691828 78088504 79590206 80198016 80607488 82157632 84166147 86881184 88551976 95443993 96108928 100129614 103589104 108674592 117132756 119385309 120911232 123236448 130321776 132827964 133506152 141443328 143896961 144163392 144899456 155383656 156177008 159180412 160396032 164315264 168332294 173762368 177103952 190887986 192217856 200259228 207178208 217349184 234265512 238770618 241822464 246472896 252498441 260643552 265655928 267012304 286331979 287793922 288326784 289798912 310767312 312354016 318360824 328630528 336664588 343138907 347524736 354207904 381775972 400518456 414356416 431690883 434698368 468531024 477541236 492945792 504996882 517336339 521287104 531311856 534024608 572663958 575587844 576653568 586656841 621534624 624708032 636721648 673329176 686277814 695049472 708415808 763551944 801036912 828712832 863381766 869396736 937062048 955082472 985891584 1009993764 1029416721 1034672678 1042574208 1062623712 1068049216 1145327916 1151175688 1173313682 1240771909 1243069248 1249416064 1273443296 1346658352 1372555628 1416831616 1527103888 1552009017 1602073824 1657425664 1726763532 1759970523 1874124096 1910164944 2019987528 2058833442 2069345356 2085148416 2125247424 2136098432 2290655832 2302351376 2346627364 2481543818 2486138496 2498832128 2546886592 2693316704 2745111256 2833663232 2958763783 3054207776 3104018034 3204147648 3453527064 3519941046 3722315727 3748248192 3820329888 4039975056 4117666884 4138690712 4250494848 4272196864 4460805791 4581311664 4604702752 4693254728 4963087636 4972276992 5058531629 5093773184 5386633408 5490222512 5917527566 6108415552 6208036068 6408295296 6907054128 7039882092 7444631454 7496496384 7626538933 7640659776 8079950112 8235333768 8277381424 8500989696 8876291349 8921611582 9162623328 9209405504 9386509456 9926175272 10117063258 10187546368 10773266816 10980445024 11835055132 12216831104 12416072136 12816590592 13382417373 13814108256 14079764184 14889262908 15175594887 15253077866 15281319552 16159900224 16470667536 16554762848 17752582698 17843223164 18186362071 18325246656 18418811008 18773018912 19852350544 20234126516 21546533632 21960890048 22879616799 23670110264 24433662208 24832144272 26764834746 27628216512 28159528368 29778525816 30351189774 30506155732 30562639104 32319800448 32941335072 33109525696 35505165396 35686446328 36372724142 36650493312 36837622016 37546037824 38463929179 39704701088 40468253032 43921780096 45759233598 47340220528 49664288544 53529669492 54559086213 55256433024 56319056736 59557051632 60702379548 61012311464 64639600896 65760911177 65882670144 66219051392 71010330792 71372892656 72745448284 73300986624 75092075648 76927858358 79409402176 80936506064 87843560192 91518467196 94680441056 99328577088 107059338984 109118172426 110512866048 112638113472 115391787537 119114103264 121404759096 122024622928 131521822354 131765340288 132438102784 142020661584 142745785312 145490896568 150184151296 153855716716 156814480499 158818804352 161873012128 183036934392 189360882112 197282733531 198657154176 214118677968 218236344852 225276226944 230783575074 236422706923 238228206528 242809518192 244049245856 263043644708 263530680576 268102176337 284041323168 285491570624 290981793136 307711433432 313628960998 317637608704 323746024256 366073868784 378721764224 394565467062 397314308352 428237355936 436472689704 450552453888 461567150148 470443441497 472845413846 476456413056 485619036384 488098491712 526087289416 536204352674 568082646336 570983141248 581963586272 615422866864 627257921996 647492048512 709268120769 732147737568 757443528448 789130934124 804306529011 856474711872 872945379408 923134300296 940886882994 945690827692 952912826112 971238072768 976196983424 1052174578832 1072408705348 1136165292672 1141966282496 1163927172544 1230845733728 1254515843992 1294984097024 1418536241538 1464295475136 1578261868248 1608613058022 1712949423744 1745890758816 1846268600592 1881773765988 1891381655384 1942476145536 1952393966848 2038588246487 2104349157664 2144817410696 2272330585344 2327854345088 2461691467456 2509031687984 2837072483076 2928590950272 3156523736496 3217226116044 3425898847488 3485328292381 3491781517632 3692537201184 3763547531976 3782763310768 3884952291072 4077176492974 4208698315328 4289634821392 4655708690176 4923382934912 5018063375968 5674144966152 5857181900544 6115764739461 6313047472992 6434452232088 6970656584762 6983563035264 7385074402368 7527095063952 7565526621536 8154352985948 8311167466447 8417396630656 8579269642784 9846765869824 10036126751936 10455984877143 11348289932304 12231529478922 12626094945984 12868904464176 13941313169524 13967126070528 14770148804736 15054190127904 15131053243072 16308705971896 16622334932894 16834793261312 17158539285568 20072253503872 20911969754286 22696579864608 24463058957844 24933502399341 25252189891968 25737808928352 27882626339048 29540297609472 30108380255808 30262106486144 32617411943792 33244669865788 34317078571136 40144507007744 41823939508572 45393159729216 48926117915688 49867004798682 50504379783936 51475617856704 55765252678096 60216760511616 60524212972288 65234823887584 66489339731576 68634157142272 83647879017144 90786319458432 97852235831376 99734009597364 102951235713408 108045177063811 111530505356192 120433521023232 130469647775168 132978679463152 167295758034288 181572638916864 195704471662752 199468019194728 205902471426816 216090354127622 223061010712384 260939295550336 265957358926304 324135531191433 334591516068576 391408943325504 398936038389456 432180708255244 446122021424768 521878591100672 531914717852608 648271062382866 669183032137152 782817886651008 797872076778912 864361416510488 892244042849536 1063829435705216 1296542124765732 1338366064274304 1565635773302016 1595744153557824 1728722833020976 2127658871410432 2593084249531464 2676732128548608 3191488307115648 3457445666041952 5186168499062928 6382976614231296 6914891332083904 10372336998125856 13829782664167808 20744673996251712 27659565328335616 41489347992503424 82978695985006848
- Sum of all divisors σ(n): 250772674121804800
- Sum of proper divisors (its aliquot sum) s(n): 167793978136797952
- 82978695985006848 is an abundant number, because the sum of its proper divisors (167793978136797952) is greater than itself. Its abundance is 84815282151791104
Bases of 82978695985006848
- Binary: 1001001101100110010101111001100100001110010001001000000002
- Hexadecimal: 0x126CCAF321C8900
- Base-36: MP1HQON15HC
Squares and roots of 82978695985006848
- 82978695985006848 squared (829786959850068482) is 6885463987372191596445210606895104
- 82978695985006848 cubed (829786959850068483) is 571346822923870117181984462426898636403193457672192
-
The
square root of 82978695985006848 is 288060229.7871173469 -
The
cube root of 82978695985006848 is 436169.7428197733
Scales and comparisons
How big is 82978695985006848?- 82,978,695,985,006,848 seconds is equal to 2,638,465,862 years, 18 weeks, 6 days, 13 hours, 48 seconds.
-
To count from 1 to 82,978,695,985,006,848 would take you about seven billion, nine hundred fifteen million, three hundred ninety-seven thousand, five hundred eighty-seven 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 82978695985006848 cubic inches would be around 36347.5 feet tall.
Recreational maths with 82978695985006848
- 82978695985006848 backwards is 84860058959687928
- The number of decimal digits it has is: 17
- The sum of 82978695985006848's digits is 102
- More coming soon!
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The information we have on file for 82978695985006848 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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