82428948209664
82,428,948,209,664 is an even composite number composed of seven prime numbers multiplied together.
What does the number 82428948209664 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
82428948209664 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 82428948209664:
213 × 32 × 7 × 17 × 31 × 37 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 31 × 37 × 8191)See below for interesting mathematical facts about the number 82428948209664 from the Numbermatics database.
Names of 82428948209664
- Cardinal: 82428948209664 can be written as Eighty-two trillion, four hundred twenty-eight billion, nine hundred forty-eight million, two hundred nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 8.2428948209664 × 1013
Factors of 82428948209664
Divisors of 82428948209664
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 31 32 34 36 37 42 48 51 56 62 63 64 68 72 74 84 93 96 102 111 112 119 124 126 128 136 144 148 153 168 186 192 204 217 222 224 238 248 252 256 259 272 279 288 296 306 333 336 357 372 384 408 434 444 448 476 496 504 512 518 527 544 558 576 592 612 629 651 666 672 714 744 768 777 816 868 888 896 952 992 1008 1024 1036 1054 1071 1088 1116 1147 1152 1184 1224 1258 1302 1332 1344 1428 1488 1536 1554 1581 1632 1736 1776 1792 1887 1904 1953 1984 2016 2048 2072 2108 2142 2176 2232 2294 2304 2331 2368 2448 2516 2604 2664 2688 2856 2976 3072 3108 3162 3264 3441 3472 3552 3584 3689 3774 3808 3906 3968 4032 4096 4144 4216 4284 4352 4403 4464 4588 4608 4662 4736 4743 4896 5032 5208 5328 5376 5661 5712 5952 6144 6216 6324 6528 6882 6944 7104 7168 7378 7548 7616 7812 7936 8029 8064 8191 8192 8288 8432 8568 8704 8806 8928 9176 9216 9324 9472 9486 9792 10064 10323 10416 10656 10752 11067 11322 11424 11904 12288 12432 12648 13056 13209 13764 13888 14208 14336 14756 15096 15232 15624 15872 16058 16128 16382 16576 16864 17136 17408 17612 17856 18352 18432 18648 18944 18972 19499 19584 20128 20646 20832 21312 21504 22134 22644 22848 23808 24087 24573 24576 24864 25296 26112 26418 27528 27776 28416 28672 29512 30192 30464 31248 31744 32116 32256 32764 33152 33201 33728 34272 34816 35224 35712 36704 36864 37296 37888 37944 38998 39168 39627 40256 41292 41664 42624 43008 44268 45288 45696 47616 48174 49146 49728 50592 52224 52836 55056 55552 56832 57337 57344 58497 59024 60384 60928 62496 63488 64232 64512 65528 66304 66402 67456 68544 69632 70448 71424 72261 73408 73719 73728 74592 75776 75888 77996 78336 79254 80512 82584 83328 85248 86016 88536 90576 91392 95232 96348 98292 99456 101184 104448 105672 110112 111104 113664 114674 116994 118048 120768 121856 124992 126976 128464 129024 131056 132608 132804 134912 136493 137088 139247 139264 140896 142848 144522 146816 147438 149184 151552 151776 155992 156672 158508 161024 165168 166656 170496 172011 172032 175491 177072 181152 182784 190464 192696 196584 198912 202368 208896 211344 220224 222208 227328 229348 233988 236096 241536 243712 249984 253921 253952 256928 258048 262112 265216 265608 269824 272986 274176 278494 281792 285696 289044 293632 294876 298368 303067 303104 303552 311984 313344 317016 322048 330336 333312 340992 344022 350982 354144 362304 365568 380928 385392 393168 397824 404736 409479 417741 417792 422688 440448 444416 454656 458696 467976 472192 483072 487424 499968 507842 513856 516033 516096 524224 530432 531216 539648 545972 548352 556988 563584 571392 578088 587264 589752 596736 606134 607104 623968 626688 634032 644096 660672 666624 681984 688044 701964 708288 724608 731136 761763 761856 770784 786336 795648 809472 818958 835482 845376 880896 888832 909201 909312 917392 935952 944384 966144 974729 974848 999936 1015684 1027712 1032066 1048448 1060864 1062432 1079296 1091944 1096704 1113976 1127168 1142784 1156176 1174528 1179504 1193472 1212268 1214208 1228437 1247936 1253223 1253376 1268064 1288192 1321344 1333248 1363968 1376088 1403928 1416576 1449216 1462272 1523526 1541568 1572672 1591296 1618944 1637916 1670964 1690752 1761792 1777447 1777664 1818402 1834784 1871904 1888768 1932288 1949458 1999872 2031368 2055424 2064132 2096896 2121469 2121728 2124864 2158592 2183888 2193408 2227952 2254336 2285289 2285568 2312352 2349056 2359008 2386944 2424536 2428416 2456874 2495872 2506446 2536128 2576384 2642688 2666496 2727603 2727936 2752176 2807856 2833152 2898432 2924187 2924544 3047052 3083136 3145344 3182592 3237888 3275832 3341928 3381504 3523584 3554894 3636804 3669568 3743808 3777536 3864576 3898916 3999744 4062736 4110848 4128264 4193792 4242938 4249728 4316657 4317184 4367776 4386816 4455904 4508672 4570578 4624704 4698112 4718016 4773888 4849072 4856832 4913748 4991744 5012892 5072256 5152139 5152768 5285376 5332341 5332992 5455206 5504352 5615712 5666304 5796864 5848374 6094104 6166272 6290688 6364407 6365184 6475776 6551664 6683856 6763008 7047168 7109788 7273608 7339136 7487616 7555072 7729152 7797832 7999488 8125472 8221696 8256528 8387584 8485876 8499456 8633314 8735552 8772561 8773632 8911808 9017344 9141156 9249408 9395077 9396224 9436032 9547776 9698144 9713664 9827496 9983488 10025784 10144512 10304278 10570752 10664682 10910412 11008704 11231424 11332608 11593728 11696748 12188208 12332544 12581376 12728814 12949971 12951552 13103328 13367712 13526016 14094336 14219576 14547216 14678272 14975232 15110144 15456417 15458304 15595664 15997023 15998976 16250944 16443392 16513056 16775168 16971752 16998912 17266628 17471104 17545122 17823616 18034688 18282312 18498816 18790154 18872064 19093221 19095552 19396288 19427328 19654992 19966976 20051568 20289024 20608556 21141504 21329364 21820824 22017408 22462848 22665216 23187456 23393496 24376416 24665088 25162752 25457628 25899942 26206656 26735424 27052032 28185231 28188672 28439152 29094432 29356544 29950464 30216599 30220288 30912834 31191328 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135991296 138133024 139768832 140360976 142588928 144259892 146258496 147990528 150321232 150976512 152745768 155170304 155399652 157239936 159716309 159735808 160412544 162312192 164868448 169111386 170634912 174566592 176139264 179702784 181299594 185477004 187147968 195011328 197296617 197320704 201302016 203661024 207199536 209653248 213883392 216389838 225481848 227513216 232755456 234852352 239603712 241732792 247302672 249530624 255952368 260015104 263062156 264208896 271548032 271949391 271982592 276266048 279537664 280721952 285177856 288519784 292516992 295981056 300642464 301953024 305491536 310340608 310799304 314479872 319432618 320825088 324584757 324624384 329736896 338222772 341269824 349133184 352278528 359405568 362599188 370954008 374295936 390022656 394593234 407322048 414399072 419306496 427766784 432779676 450963696 455026432 465510912 469704704 479148927 479207424 483465584 494605344 499061248 511904736 520030208 526124312 528417792 543096064 543898782 552532096 559075328 561443904 570355712 577039568 585033984 591889851 591962112 601284928 603906048 610983072 620681216 621598608 628959744 638865236 641650176 649169514 659473792 676445544 682539648 698266368 704557056 718811136 725198376 741908016 748591872 780045312 789186468 814644096 828798144 838612992 855533568 865559352 901927392 910052864 931021824 958297854 966931168 989210688 998122496 1023809472 1040060416 1052248624 1056835584 1086192128 1087797564 1105064192 1118014163 1118150656 1122887808 1140711424 1154079136 1170067968 1183779702 1202569856 1221966144 1241362432 1243197216 1257919488 1277730472 1283300352 1298339028 1318947584 1352891088 1365079296 1396532736 1409114112 1437446781 1437622272 1450396752 1483816032 1497183744 1560090624 1578372936 1629288192 1657596288 1677225984 1711067136 1731118704 1803854784 1820105728 1862043648 1916595708 1933862336 1978421376 1996244992 2047618944 2080120832 2104497248 2113671168 2172384256 2175595128 2210128384 2236028326 2245775616 2308158272 2340135936 2367559404 2405139712 2443932288 2482724864 2486394432 2515838976 2555460944 2566600704 2596678056 2637895168 2705782176 2730158592 2793065472 2874893562 2900793504 2967632064 2994367488 3120181248 3156745872 3258576384 3315192576 3354042489 3354451968 3422134272 3462237408 3607709568 3640211456 3724087296 3833191416 3867724672 3956842752 3992489984 4095237888 4208994496 4227342336 4344768512 4351190256 4420256768 4472056652 4491551232 4616316544 4680271872 4735118808 4810279424 4887864576 4972788864 5031677952 5110921888 5133201408 5193356112 5275790336 5411564352 5460317184 5586130944 5749787124 5801587008 5935264128 5988734976 6240362496 6313491744 6517152768 6630385152 6708084978 6924474816 7215419136 7280422912 7448174592 7666382832 7735449344 7913685504 7984979968 8190475776 8417988992 8689537024 8702380512 8840513536 8944113304 8983102464 9232633088 9360543744 9470237616 9620558848 9775729152 9945577728 10062127467 10063355904 10221843776 10266402816 10386712224 10551580672 10823128704 10920634368 11172261888 11499574248 11603174016 11870528256 11977469952 12626983488 13034305536 13260770304 13416169956 13848949632 14430838272 14560845824 15332765664 15470898688 15827371008 16380951552 16835977984 17379074048 17404761024 17681027072 17888226608 17966204928 18465266176 18721087488 18940475232 19241117696 19551458304 19891155456 20124254934 20443687552 20773424448 21103161344 21646257408 21841268736 22344523776 22999148496 23206348032 23741056512 23954939904 25253966976 26068611072 26521540608 26832339912 27697899264 28861676544 30665531328 30941797376 31654742016 32761903104 33671955968 34809522048 35362054144 35776453216 35932409856 36930532352 37880950464 38482235392 39102916608 39782310912 40248509868 40887375104 41546848896 42206322688 43292514816 43682537472 45998296992 46412696064 47482113024 50507933952 52137222144 53043081216 53664679824 55395798528 57723353088 61331062656 61883594752 63309484032 65523806208 67343911936 69619044096 71552906432 71864819712 73861064704 75761900928 76964470784 78205833216 79564621824 80497019736 81774750208 83093697792 86585029632 91996593984 92825392128 94964226048 101015867904 106086162432 107329359648 110791597056 115446706176 122662125312 123767189504 126618968064 131047612416 134687823872 139238088192 143105812864 147722129408 151523801856 156411666432 159129243648 160994039472 163549500416 166187395584 173170059264 183993187968 185650784256 189928452096 202031735808 214658719296 221583194112 230893412352 245324250624 247534379008 269375647744 278476176384 286211625728 295444258816 303047603712 318258487296 321988078944 327099000832 332374791168 346340118528 367986375936 371301568512 379856904192 404063471616 429317438592 443166388224 490648501248 538751295488 556952352768 572423251456 606095207424 643976157888 654198001664 664749582336 692680237056 735972751872 742603137024 808126943232 858634877184 886332776448 981297002496 1113904705536 1144846502912 1212190414848 1287952315776 1308396003328 1329499164672 1471945503744 1616253886464 1717269754368 1962594004992 2227809411072 2289693005824 2424380829696 2575904631552 2658998329344 2943891007488 3434539508736 3925188009984 4579386011648 4848761659392 5151809263104 5887782014976 6869079017472 9158772023296 10303618526208 11775564029952 13738158034944 20607237052416 27476316069888 41214474104832 82428948209664
- Sum of all divisors σ(n): 305508145692672
- Sum of proper divisors (its aliquot sum) s(n): 223079197483008
- 82428948209664 is an abundant number, because the sum of its proper divisors (223079197483008) is greater than itself. Its abundance is 140650249273344
Bases of 82428948209664
- Binary: 100101011110111111111000010110101100000000000002
- Hexadecimal: 0x4AF7FC2D6000
- Base-36: T7VC3IF40
Squares and roots of 82428948209664
- 82428948209664 squared (824289482096642) is 6794531502951469950902992896
- 82428948209664 cubed (824289482096643) is 560066085365717216141362350254878510546944
-
The
square root of 82428948209664 is 9079038.9474692749 -
The
cube root of 82428948209664 is 43520.4375201111
Scales and comparisons
How big is 82428948209664?- 82,428,948,209,664 seconds is equal to 2,620,985 years, 30 weeks, 2 days, 10 hours, 14 minutes, 24 seconds.
-
To count from 1 to 82,428,948,209,664 would take you about six million, five hundred fifty-two thousand, four hundred sixty-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 82428948209664 cubic inches would be around 3626.7 feet tall.
Recreational maths with 82428948209664
- 82428948209664 backwards is 46690284982428
- 82428948209664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82428948209664's digits is 72
- More coming soon!
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Numbermatics. (2024). Number 82428948209664 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/82428948209664/
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The information we have on file for 82428948209664 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!
Keywords: Divisors of 82428948209664, math, Factors of 82428948209664, curriculum, school, college, exams, university, Prime factorization of 82428948209664, STEM, science, technology, engineering, physics, economics, calculator, eighty-two trillion, four hundred twenty-eight billion, nine hundred forty-eight million, two hundred nine thousand, six hundred sixty-four.