82428690475410048
82,428,690,475,410,048 is an even composite number composed of seven prime numbers multiplied together.
82428690475410048 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 82428690475410048:
27 × 34 × 72 × 11 × 31 × 503 × 945943
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 31 × 503 × 945943)See below for interesting mathematical facts about the number 82428690475410048 from the Numbermatics database.
Names of 82428690475410048
- Cardinal: 82428690475410048 can be written as Eighty-two quadrillion, four hundred twenty-eight trillion, six hundred ninety billion, four hundred seventy-five million, four hundred ten thousand and forty-eight.
Scientific notation
- Scientific notation: 8.2428690475410048 × 1016
Factors of 82428690475410048
Divisors of 82428690475410048
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 49 54 56 62 63 64 66 72 77 81 84 88 93 96 98 99 108 112 124 126 128 132 144 147 154 162 168 176 186 189 192 196 198 216 217 224 231 248 252 264 279 288 294 297 308 324 336 341 352 372 378 384 392 396 432 434 441 448 462 496 503 504 528 539 558 567 576 588 594 616 648 651 672 682 693 704 744 756 784 792 837 864 868 882 891 896 924 992 1006 1008 1023 1056 1078 1116 1134 1152 1176 1188 1232 1296 1302 1323 1344 1364 1386 1408 1488 1509 1512 1519 1568 1584 1617 1674 1728 1736 1764 1782 1848 1953 1984 2012 2016 2046 2079 2112 2156 2232 2268 2352 2376 2387 2464 2511 2592 2604 2646 2688 2728 2772 2976 3018 3024 3038 3069 3136 3168 3234 3348 3456 3472 3521 3528 3564 3696 3906 3968 3969 4024 4032 4092 4158 4224 4312 4464 4527 4536 4557 4704 4752 4774 4851 4928 5022 5184 5208 5292 5456 5533 5544 5859 5952 6036 6048 6076 6138 6237 6272 6336 6468 6696 6944 7042 7056 7128 7161 7392 7812 7938 8048 8064 8184 8316 8624 8928 9054 9072 9114 9207 9408 9504 9548 9702 9856 10044 10368 10416 10563 10584 10912 11066 11088 11718 11904 12072 12096 12152 12276 12474 12672 12936 13392 13581 13671 13888 14084 14112 14256 14322 14553 14784 15593 15624 15876 16096 16368 16599 16632 16709 17248 17577 17856 18108 18144 18228 18414 18816 19008 19096 19404 20088 20832 21126 21168 21483 21824 22132 22176 23436 24144 24192 24304 24552 24647 24948 25872 26784 27162 27342 27621 27776 28168 28224 28512 28644 29106 29568 31186 31248 31689 31752 32192 32736 33198 33264 33418 34496 35154 35712 36216 36288 36456 36828 38016 38192 38731 38808 40176 40743 41013 41664 42252 42336 42966 43648 43659 44264 44352 46779 46872 48288 48608 49104 49294 49797 49896 50127 51744 53568 54324 54684 55242 56336 56448 57024 57288 58212 62372 62496 63378 63504 64384 64449 65472 66396 66528 66836 68992 70308 72432 72576 72912 73656 73941 76384 77462 77616 80352 81486 82026 83328 84504 84672 85932 87318 88528 88704 93558 93744 95067 96576 97216 98208 98588 99594 99792 100254 103488 107136 108648 109151 109368 110484 112672 114048 114576 116193 116424 123039 124744 124992 126756 127008 128898 130944 132792 133056 133672 140337 140616 144864 145824 147312 147882 149391 150381 152768 154924 155232 160704 162972 164052 169008 169344 171523 171864 174636 177056 187116 187488 190134 193152 193347 194432 196416 197176 199188 199584 200508 206976 217296 218302 218736 220968 221823 225344 229152 232386 232848 246078 249488 249984 253512 254016 257796 265584 266112 267344 271117 280674 281232 285201 289728 291648 294624 295764 298782 300762 305536 309848 310464 321408 325944 327453 328104 338016 343046 343728 348579 349272 354112 374232 374976 380268 386694 392832 394352 398376 399168 401016 421011 434592 436604 437472 441936 443646 448173 450688 451143 458304 464772 465696 492156 498976 507024 508032 514569 515592 531168 534688 542234 561348 562464 570402 579456 583296 589248 591528 597564 601524 619696 620928 651888 654906 656208 665469 676032 686092 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660782806992 669939535232 708004281552 709411844736 719423705448 722754370751 731580964884 746069027872 753681977136 755180350848 758676556176 769383684993 796504816746 822198520512 826004995144 827647152192 836092531296 839327656356 847892224278 853511125698 867058921344 879295639992 881043742656 929255619537 931103046216 944005708736 959231607264 973505887134 975441286512 989207594991 1004909302848 1011568741568 1025844913324 1062006422328 1064117767104 1079135558172 1114790041728 1119103541808 1130522965704 1135756868323 1138014834264 1172394186656 1194757225119 1233297780768 1239007492716 1241470728288 1258991484534 1278975476352 1280266688547 1298007849512 1300588382016 1318943459988 1321565613984 1416008563104 1438847410896 1445508741502 1460258830701 1463161929768 1492138055744 1507363954272 1517353112352 1538767369986 1593009633492 1644397041024 1652009990288 1655294304384 1672185062592 1678655312712 1695784448556 1707022251396 1758591279984 1762087485312 1858511239074 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245323483557768 254409538504352 267625618426656 277537678368384 280369695494592 286210730817396 295443335037312 312229888164432 327097978077024 332373751916976 356834157902208 367985225336652 379855716476544 381614307756528 416306517552576 420554543241888 429316096226094 436130637436032 443165002555968 468344832246648 490646967115536 508819077008704 535251236853312 560739390989184 572421461634792 624459776328864 643974144339141 654195956154048 664747503833952 735970450673304 763228615513056 832613035105152 841109086483776 858632192452188 886330005111936 936689664493296 981293934231072 1017638154017408 1070502473706624 1144842923269584 1248919552657728 1287948288678282 1308391912308096 1329495007667904 1471940901346608 1526457231026112 1682218172967552 1717264384904376 1873379328986592 1962587868462144 2289685846539168 2497839105315456 2575896577356564 2658990015335808 2943881802693216 3052914462052224 3434528769808752 3746758657973184 3925175736924288 4579371693078336 5151793154713128 5887763605386432 6869057539617504 7493517315946368 9158743386156672 10303586309426256 11775527210772864 13738115079235008 20607172618852512 27476230158470016 41214345237705024 82428690475410048
- Sum of all divisors σ(n): 321979034766090240
- Sum of proper divisors (its aliquot sum) s(n): 239550344290680192
- 82428690475410048 is an abundant number, because the sum of its proper divisors (239550344290680192) is greater than itself. Its abundance is 157121653815270144
Bases of 82428690475410048
- Binary: 1001001001101100001110101000011110001011001100010100000002
- Hexadecimal: 0x124D8750F166280
- Base-36: MJMJ5N3C800
Squares and roots of 82428690475410048
- 82428690475410048 squared (824286904754100482) is 6794489013490955164968953739362304
- 82428690475410048 cubed (824286904754100483) is 560060831831620109136332389949974369841772434030592
-
The
square root of 82428690475410048 is 287103971.5423840109 -
The
cube root of 82428690475410048 is 435203.9216096891
Scales and comparisons
How big is 82428690475410048?- 82,428,690,475,410,048 seconds is equal to 2,620,977,388 years, 22 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 82,428,690,475,410,048 would take you about seven billion, eight hundred sixty-two million, nine hundred thirty-two thousand, one hundred sixty-five 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 82428690475410048 cubic inches would be around 36267 feet tall.
Recreational maths with 82428690475410048
- 82428690475410048 backwards is 84001457409682428
- 82428690475410048 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 82428690475410048's digits is 72
- More coming soon!
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The information we have on file for 82428690475410048 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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