13682359798069248
13,682,359,798,069,248 is an even composite number composed of eight prime numbers multiplied together.
13682359798069248 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13682359798069248:
211 × 32 × 11 × 13 × 31 × 191 × 313 × 2801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 31 × 191 × 313 × 2801)See below for interesting mathematical facts about the number 13682359798069248 from the Numbermatics database.
Names of 13682359798069248
- Cardinal: 13682359798069248 can be written as Thirteen quadrillion, six hundred eighty-two trillion, three hundred fifty-nine billion, seven hundred ninety-eight million, sixty-nine thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 1.3682359798069248 × 1016
Factors of 13682359798069248
Divisors of 13682359798069248
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 31 32 33 36 39 44 48 52 62 64 66 72 78 88 93 96 99 104 117 124 128 132 143 144 156 176 186 191 192 198 208 234 248 256 264 279 286 288 312 313 341 352 372 382 384 396 403 416 429 468 496 512 528 558 572 573 576 624 626 682 704 744 764 768 792 806 832 858 936 939 992 1023 1024 1056 1116 1144 1146 1152 1209 1248 1252 1287 1364 1408 1488 1528 1536 1584 1612 1664 1716 1719 1872 1878 1984 2046 2048 2101 2112 2232 2288 2292 2304 2418 2483 2496 2504 2574 2728 2801 2816 2817 2976 3056 3069 3072 3168 3224 3328 3432 3438 3443 3627 3744 3756 3968 4069 4092 4202 4224 4433 4464 4576 4584 4608 4836 4966 4992 5008 5148 5456 5602 5632 5634 5921 5952 6112 6138 6144 6303 6336 6448 6656 6864 6876 6886 7254 7449 7488 7512 7936 8138 8184 8403 8404 8448 8866 8928 9152 9168 9216 9672 9703 9932 9984 10016 10296 10329 10912 11204 11264 11268 11842 11904 12207 12224 12276 12606 12672 12896 13299 13312 13728 13752 13772 14508 14898 14976 15024 15872 16276 16368 16806 16808 16896 17732 17763 17856 18304 18336 18432 18909 19344 19406 19864 19968 20032 20592 20658 21824 22347 22408 22528 22536 23684 23808 24414 24448 24552 25209 25212 25344 25792 26598 26624 27313 27456 27504 27544 29016 29109 29796 29952 30048 30811 30987 31744 32552 32736 33612 33616 33792 35464 35526 35712 36413 36608 36621 36672 37818 38688 38812 39728 39897 39936 40064 41184 41316 43648 44694 44759 44816 45072 47368 47616 48828 48896 49104 50418 50424 50688 51584 53196 53289 54626 54912 55008 55088 58032 58218 59592 59783 59904 60096 61622 61974 63488 65104 65131 65472 67224 67232 67584 70928 71052 71424 72826 73216 73242 73344 75636 76973 77376 77624 79456 79794 79872 80128 81939 82368 82632 86831 87296 87327 89388 89518 89632 90144 92433 94736 95232 97656 97792 98208 100836 100848 101376 103168 106392 106578 106733 109239 109252 109824 110016 110176 116064 116436 119184 119566 119808 120192 123244 123948 126139 130208 130262 130944 134277 134448 134464 141856 142104 142848 145652 146432 146484 146688 151272 153946 154752 155248 158912 159588 160256 163878 164736 165264 173662 174592 174654 178776 179036 179264 179349 180288 184866 189472 190464 195312 195393 195584 196416 201672 201696 202752 206336 212784 213156 213466 218478 218504 219648 220032 220352 230919 232128 232872 238368 239132 239616 240384 245817 246488 247896 252278 260416 260493 260524 261888 268554 268896 268928 277299 283712 284208 285696 291304 292864 292968 293376 302544 307892 309504 310496 317824 319176 320199 320512 327717 327756 329472 330528 347324 349184 349308 357552 358072 358528 358698 360576 369732 378417 378944 390624 390786 391168 392832 400543 402831 403344 403392 412672 425568 426312 426932 436956 437008 439296 440064 440704 461838 464256 465744 476736 478264 480768 491634 492976 495792 504556 520832 520986 521048 523776 534991 537108 537792 537856 538047 554598 567424 568416 571392 582608 585936 586179 586752 605088 615784 619008 620992 635648 638352 640398 641024 655434 655512 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3654476441792 3772362778624 3973964507136 3979743978496 3986701572864 4111285997016 4243908125952 4318926703936 4453893163434 4458246920192 4477211975808 4597567136448 4857067730944 4858792541928 4884812494848 5015527785216 5315602097152 5464201197312 5481714662688 5510414739456 5658544167936 5938524217912 5969615967744 5980052359296 6130089515264 6478390055904 6512308328448 6680839745151 6687370380288 6896350704672 7285601596416 7308952883584 7959487956992 7973403145728 8222571994032 8487816251904 8637853407872 8907786326868 8954423951616 9195134272896 9717585083856 10031055570432 10631204194304 10928402394624 10963429325376 11317088335872 11877048435824 11939231935488 11960104718592 12260179030528 12956780111808 13361679490302 13374740760576 13792701409344 14571203192832 14617905767168 15946806291456 16445143988064 16975632503808 17275706815744 17815572653736 17908847903232 18390268545792 19435170167712 20062111140864 21856804789248 21926858650752 23754096871648 23878463870976 23920209437184 24520358061056 25913560223616 26723358980604 27585402818688 29235811534336 31893612582912 32890287976128 33951265007616 34551413631488 35631145307472 35817695806464 36780537091584 38870340335424 40124222281728 43713609578496 43853717301504 47508193743296 47840418874368 49040716122112 51827120447232 53446717961208 55170805637376 58471623068672 65780575952256 69102827262976 71262290614944 71635391612928 73561074183168 77740680670848 87707434603008 95016387486592 95680837748736 103654240894464 106893435922416 110341611274752 116943246137344 131561151904512 138205654525952 142524581229888 147122148366336 155481361341696 175414869206016 190032774973184 207308481788928 213786871844832 220683222549504 263122303809024 285049162459776 310962722683392 350829738412032 380065549946368 414616963577856 427573743689664 441366445099008 526244607618048 570098324919552 621925445366784 760131099892736 855147487379328 1052489215236096 1140196649839104 1243850890733568 1520262199785472 1710294974758656 2280393299678208 3420589949517312 4560786599356416 6841179899034624 13682359798069248
- Sum of all divisors σ(n): 48345441002127360
- Sum of proper divisors (its aliquot sum) s(n): 34663081204058112
- 13682359798069248 is an abundant number, because the sum of its proper divisors (34663081204058112) is greater than itself. Its abundance is 20980721405988864
Bases of 13682359798069248
- Binary: 1100001001110000001000101000110111001111111000000000002
- Hexadecimal: 0x309C08A373F800
- Base-36: 3QPZPBFPJ40
Squares and roots of 13682359798069248
- 13682359798069248 squared (136823597980692482) is 187206969643821552906588603285504
- 13682359798069248 cubed (136823597980692483) is 2561433115372994102808933309814226093368506580992
-
The
square root of 13682359798069248 is 116971619.6265968099 -
The
cube root of 13682359798069248 is 239177.5074001465
Scales and comparisons
How big is 13682359798069248?- 13,682,359,798,069,248 seconds is equal to 435,056,719 years, 13 weeks, 3 days, 23 hours, 40 minutes, 48 seconds.
-
To count from 1 to 13,682,359,798,069,248 would take you about one billion, three hundred five million, one hundred seventy thousand, one hundred fifty-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 13682359798069248 cubic inches would be around 19931.5 feet tall.
Recreational maths with 13682359798069248
- 13682359798069248 backwards is 84296089795328631
- The number of decimal digits it has is: 17
- The sum of 13682359798069248's digits is 90
- More coming soon!
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"Number 13682359798069248 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 13682359798069248 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/13682359798069248/
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The information we have on file for 13682359798069248 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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