82820402914816
82,820,402,914,816 is an even composite number composed of six prime numbers multiplied together.
What does the number 82820402914816 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
82820402914816 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 82820402914816:
29 × 72 × 192 × 37 × 592 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 19 × 19 × 37 × 59 × 59 × 71)See below for interesting mathematical facts about the number 82820402914816 from the Numbermatics database.
Names of 82820402914816
- Cardinal: 82820402914816 can be written as Eighty-two trillion, eight hundred twenty billion, four hundred two million, nine hundred fourteen thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 8.2820402914816 × 1013
Factors of 82820402914816
Divisors of 82820402914816
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 37 38 49 56 59 64 71 74 76 98 112 118 128 133 142 148 152 196 224 236 256 259 266 284 296 304 361 392 413 448 472 497 512 518 532 568 592 608 703 722 784 826 896 931 944 994 1036 1064 1121 1136 1184 1216 1349 1406 1444 1568 1652 1792 1813 1862 1888 1988 2072 2128 2183 2242 2272 2368 2432 2527 2627 2698 2812 2888 2891 3136 3304 3479 3481 3584 3626 3724 3776 3976 4144 4189 4256 4366 4484 4544 4736 4864 4921 5054 5254 5396 5624 5776 5782 6272 6608 6958 6962 7252 7448 7552 7847 7952 8288 8378 8512 8732 8968 9088 9443 9472 9728 9842 10108 10508 10792 11248 11552 11564 12544 13216 13357 13916 13924 14504 14896 15104 15281 15694 15904 16576 16756 17024 17464 17689 17936 18176 18389 18886 18944 19684 20216 21016 21299 21584 22496 23104 23128 24367 25088 25631 26432 26714 27832 27848 29008 29323 29792 30208 30562 31388 31808 33152 33512 34048 34447 34928 35378 35872 36352 36778 37772 39368 40432 41477 42032 42598 43168 44992 46208 46256 48734 49913 51262 52864 53428 54929 55664 55696 58016 58646 59584 61124 62776 63616 66101 66139 66304 67024 68096 68894 69856 70756 71744 73556 75544 78736 79591 80864 82954 84064 85196 86336 89984 92416 92512 93499 97468 99826 102524 105728 106856 106967 109858 111328 111392 116032 117292 119168 122248 125552 127232 128723 128797 132202 132278 132608 134048 137788 139712 141512 143488 147112 149093 151088 154993 157472 159182 161728 165908 168128 170392 170569 172672 179417 179968 184832 185024 186998 194936 199652 205048 205261 211456 213712 213934 219716 222656 222784 232064 234584 238336 244496 247151 251104 254464 257446 257594 264404 264556 268096 275576 279424 283024 286976 290339 294224 298186 302176 309986 314944 318364 323456 331816 336256 340784 341138 345344 349391 358834 359936 370048 373996 389872 399304 410096 410522 427424 427868 439432 445312 445568 462973 464128 469168 476672 488992 494302 502208 514892 515188 528808 529112 536192 551152 557137 558848 566048 573952 580678 588448 596372 604352 619972 629888 636728 646912 654493 663632 672512 681568 682276 690688 698782 717668 740096 747992 779744 788063 798608 820192 821044 854848 855736 878864 890624 891136 901579 925946 928256 938336 948347 977984 988604 1004416 1029784 1030376 1043651 1057616 1058224 1072384 1084951 1102304 1114274 1117696 1132096 1161356 1176896 1192744 1208704 1239944 1255919 1256641 1259776 1273456 1293824 1308986 1327264 1345024 1363136 1364552 1397564 1435336 1480192 1495984 1512229 1559488 1576126 1597216 1640384 1642088 1709696 1711472 1730057 1757728 1781248 1782272 1803158 1851892 1876672 1896694 1955968 1977208 2008832 2032373 2059568 2060752 2087302 2115232 2116448 2144768 2169902 2204608 2228548 2264192 2322712 2353792 2385488 2417408 2445737 2447143 2479888 2511838 2513282 2519552 2546912 2617972 2654528 2726272 2729104 2795128 2870672 2944867 2991968 3024458 3118976 3152252 3194432 3240811 3280768 3284176 3419392 3422944 3460114 3515456 3606316 3703784 3753344 3793388 3899959 3911936 3954416 4017664 4064746 4119136 4121504 4174604 4230464 4232896 4339804 4409216 4457096 4528384 4645424 4695869 4707584 4770976 4834816 4891474 4894286 4959776 5023676 5026564 5093824 5235944 5309056 5452544 5458208 5516441 5590256 5741344 5889734 5983936 6048916 6237952 6304504 6311053 6388864 6481622 6561536 6568352 6638429 6838784 6845888 6920228 7030912 7212632 7407568 7506688 7586776 7594657 7799918 7823872 7908832 8129492 8238272 8243008 8349208 8460928 8465792 8679608 8796487 8818432 8914192 9056768 9144587 9290848 9391738 9415168 9541952 9782948 9788572 9919552 10047352 10053128 10187648 10471888 10585603 10618112 10905088 10916416 11032882 11180512 11482688 11779468 11967872 12097832 12110399 12475904 12609008 12622106 12777728 12963244 13123072 13136704 13276858 13691776 13840456 14061824 14425264 14815136 15013376 15173552 15189314 15599836 15817664 16258984 16476544 16486016 16698416 16921856 16931584 17130001 17359216 17592974 17636864 17828384 18289174 18581696 18783476 19083904 19565896 19577144 19839104 20094704 20106256 20375296 20614069 20943776 21171206 21236224 21832832 22065764 22361024 22965376 23558936 23935744 24195664 24220798 25218016 25244212 25555456 25926488 26273408 26553716 27383552 27680912 28123648 28850528 29630272 30347104 30378628 31199672 31635328 32517968 32871083 32953088 32972032 33396832 33843712 33863168 34260002 34718432 35185948 35656768 36578348 37163392 37566952 38167808 38615087 39131792 39154288 39678208 40189408 40212512 40750592 41228138 41887552 42342412 43665664 44131528 44722048 45930752 46469003 46495717 47117872 47871488 48391328 48441596 50436032 50488424 51852976 52546816 53107432 54767104 55361824 55952473 57701056 59260544 60694208 60757256 61575409 62399344 63270656 64012109 65035936 65742166 65906176 65944064 66793664 68520004 69436864 70371896 71313536 73156696 74099221 74326784 75133904 76335616 77230174 78263584 78308576 79356416 80378816 80425024 82456276 83775104 84684824 87331328 88263056 89221511 89444096 91861504 92938006 92991434 94235744 96782656 96883192 100872064 100976848 103705952 105093632 106214864 110723648 111904946 115402112 118521088 119910007 121388416 121514512 123150818 124798688 126541312 128024218 130071872 131484332 133587328 137040008 138873728 140743792 142627072 144298483 146313392 148198442 148653568 150267808 154460348 156527168 156617152 160757632 160850048 164912552 167550208 169369648 173747153 176526112 178443022 178888192 185876012 185982868 188471488 193565312 193766384 201744128 201953696 207411904 212429728 221447296 223809892 230097581 230804224 237042176 239820014 242776832 243029024 246301636 249597376 256048436 260143744 262968664 267174656 274080016 277747456 281487584 285254144 288596966 292626784 296396884 300535616 308920696 313054336 313234304 321515264 321700096 325470019 329825104 335100416 338739296 347494306 353052224 356886044 371752024 371965736 376942976 387130624 387532768 391667311 403488256 403907392 414823808 424859456 442894592 447619784 448084763 460195162 461608448 479640028 485553664 486058048 492603272 499194752 512096872 520287488 525937328 534349312 548160032 555494912 562975168 577193932 585253568 592793768 601071232 617841392 624550577 626108672 626468608 643030528 643400192 650940038 659650208 677478592 694988612 706104448 713772088 743504048 743931472 753885952 774261248 775065536 783334622 807814784 829647616 849718912 885789184 895239568 896169526 920390324 959280056 972116096 985206544 998389504 1024193744 1040574976 1051874656 1096320064 1125950336 1154387864 1170507136 1185587536 1202142464 1216230071 1235682784 1249101154 1252217344 1252937216 1301880076 1319300416 1354957184 1389977224 1412208896 1427544176 1487008096 1487862944 1507771904 1550131072 1566669244 1615629568 1659295232 1699437824 1790479136 1792339052 1840780648 1918560112 1944232192 1970413088 1996779008 2048387488 2103749312 2192640128 2251900672 2278290133 2308775728 2341014272 2371175072 2404284928 2432460142 2471365568 2498202308 2603760152 2638600832 2709914368 2741671177 2779954448 2824417792 2855088352 2974016192 2975725888 3100262144 3133338488 3231259136 3301195907 3398875648 3580958272 3584678104 3681561296 3837120224 3888464384 3940826176 4096774976 4207498624 4371854039 4385280256 4503801344 4556580266 4617551456 4682028544 4742350144 4864920284 4942731136 4996404616 5207520304 5277201664 5419828736 5483342354 5559908896 5710176704 5948032384 5951451776 6200524288 6266676976 6602391814 7161916544 7169356208 7363122592 7674240448 7881652352 8193549952 8414997248 8513610497 8743708078 8770560512 9113160532 9235102912 9484700288 9729840568 9885462272 9992809232 10415040608 10554403328 10966684708 11119817792 11420353408 11896064768 11902903552 12533353952 13204783628 14323833088 14338712416 14726245184 15348480896 15763304704 16387099904 16829994496 17027220994 17487416156 18226321064 18470205824 18969400576 19459681136 19770924544 19985618464 20830081216 21933369416 22239635584 22840706816 23108371349 23792129536 23805807104 25066707904 26409567256 28647666176 28677424832 29452490368 30696961792 31526609408 32774199808 34054441988 34974832312 36452642128 36940411648 37938801152 38919362272 39971236928 41660162432 43866738832 44479271168 45681413632 46216742698 50133415808 52819134512 57354849664 58904980736 61393923584 68108883976 69949664624 72905284256 73880823296 77838724544 79942473856 83320324864 87733477664 88958542336 92433485396 100266831616 105638269024 114709699328 117809961472 136217767952 139899329248 145810568512 155677449088 159884947712 161758599443 166640649728 175466955328 184866970792 200533663232 211276538048 229419398656 272435535904 279798658496 291621137024 311354898176 319769895424 323517198886 350933910656 369733941584 422553076096 544871071808 559597316992 583242274048 622709796352 647034397772 701867821312 739467883168 845106152192 1089742143616 1119194633984 1166484548096 1294068795544 1403735642624 1478935766336 1690212304384 2179484287232 2238389267968 2588137591088 2957871532672 4358968574464 5176275182176 5915743065344 10352550364352 11831486130688 20705100728704 41410201457408 82820402914816
- Sum of all divisors σ(n): 215237274910416
- Sum of proper divisors (its aliquot sum) s(n): 132416871995600
- 82820402914816 is an abundant number, because the sum of its proper divisors (132416871995600) is greater than itself. Its abundance is 49596469080784
Bases of 82820402914816
- Binary: 100101101010011001000001011001000100110000000002
- Hexadecimal: 0x4B5320B22600
- Base-36: TCV61JAPS
Squares and roots of 82820402914816
- 82820402914816 squared (828204029148162) is 6859219138972462588952313856
- 82820402914816 cubed (828204029148163) is 568083292770716634385223728159090064490496
-
The
square root of 82820402914816 is 9100571.5707759807 -
The
cube root of 82820402914816 is 43589.2215372485
Scales and comparisons
How big is 82820402914816?- 82,820,402,914,816 seconds is equal to 2,633,432 years, 32 weeks, 6 days, 4 hours, 20 minutes, 16 seconds.
-
To count from 1 to 82,820,402,914,816 would take you about six million, five hundred eighty-three thousand, five hundred eighty-one 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 82820402914816 cubic inches would be around 3632.4 feet tall.
Recreational maths with 82820402914816
- 82820402914816 backwards is 61841920402828
- The number of decimal digits it has is: 14
- The sum of 82820402914816's digits is 55
- More coming soon!
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"Number 82820402914816 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 82820402914816 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/82820402914816/
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The information we have on file for 82820402914816 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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