82137199253824
82,137,199,253,824 is an even composite number composed of six prime numbers multiplied together.
What does the number 82137199253824 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
82137199253824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 82137199253824:
26 × 113 × 132 × 31 × 41 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 13 × 13 × 31 × 41 × 67 × 67)See below for interesting mathematical facts about the number 82137199253824 from the Numbermatics database.
Names of 82137199253824
- Cardinal: 82137199253824 can be written as Eighty-two trillion, one hundred thirty-seven billion, one hundred ninety-nine million, two hundred fifty-three thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 8.2137199253824 × 1013
Factors of 82137199253824
Divisors of 82137199253824
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 31 32 41 44 52 62 64 67 82 88 104 121 124 134 143 164 169 176 208 242 248 268 286 328 338 341 352 403 416 451 484 496 533 536 572 656 676 682 704 737 806 832 871 902 968 992 1066 1072 1144 1271 1312 1331 1352 1364 1474 1573 1612 1742 1804 1859 1936 1984 2077 2132 2144 2288 2542 2624 2662 2704 2728 2747 2948 3146 3224 3484 3608 3718 3751 3872 4154 4264 4288 4433 4489 4576 4961 5084 5239 5324 5408 5456 5494 5863 5896 6292 6448 6929 6968 7216 7436 7502 7744 8107 8308 8528 8866 8978 9152 9581 9922 10168 10478 10648 10816 10912 10988 11323 11726 11792 12584 12896 13858 13936 13981 14432 14872 15004 16214 16523 16616 17056 17303 17732 17956 19162 19844 20336 20449 20956 21296 21824 21976 22646 22847 23452 23584 25168 25792 27001 27716 27872 27962 28864 29744 30008 30217 32428 33046 33232 34112 34606 35464 35711 35912 38324 39688 40672 40898 41261 41912 42592 43952 45292 45694 46904 47168 48763 49379 50336 54002 54571 55432 55744 55924 57629 58357 59488 60016 60434 64493 64856 66092 66464 69212 70928 71422 71824 76219 76648 79376 81344 81796 82522 83824 85157 85184 87904 89177 90584 91388 93808 97526 98758 100672 105391 108004 109142 110864 111848 115258 116714 118976 120032 120868 124553 128986 129712 132184 132928 138424 139159 141856 142844 143648 152438 153296 153791 158752 163592 165044 167648 170314 175808 178354 181168 181753 182776 184049 187616 195052 197516 210782 214799 216008 218284 221728 223696 224939 230516 233428 240064 241736 249106 251317 257972 259424 264368 276848 278318 283712 285688 287296 297011 304876 306592 307582 317504 327184 330088 332387 335296 340628 351013 356708 362336 363506 365552 368098 375232 390104 392821 395032 421564 429598 432016 436568 443456 447392 449878 461032 464243 466856 483472 498212 502634 515944 518848 528736 536393 543169 553696 556636 571376 594022 609752 613184 615164 633919 641927 654368 660176 664774 681256 702026 709423 713416 724672 727012 731104 736196 758641 780208 785642 790064 838409 843128 859196 864032 873136 894784 899756 922064 928486 933712 936727 966944 996424 1005268 1031888 1057472 1072786 1086338 1107041 1107392 1113272 1142752 1159301 1188044 1219504 1230328 1267838 1283854 1308736 1320352 1329548 1362512 1370083 1404052 1418846 1426832 1454024 1462208 1472392 1517282 1530749 1560416 1571284 1580128 1676818 1686256 1691701 1718392 1728064 1746272 1799512 1809067 1844128 1856972 1867424 1873454 1933888 1992848 1999283 2010536 2024539 2063776 2145572 2172676 2214082 2226544 2285504 2318602 2362789 2376088 2392637 2439008 2460656 2535676 2567708 2640704 2659096 2725024 2740166 2764487 2808104 2837692 2853664 2908048 2944784 3034564 3061498 3120832 3142568 3160256 3267121 3353636 3372512 3383402 3436784 3492544 3599024 3618134 3656257 3688256 3713944 3734848 3746908 3861143 3985696 3998566 4021072 4049078 4127552 4291144 4321031 4345352 4428164 4453088 4637204 4725578 4752176 4785274 4878016 4921312 5071352 5106673 5135416 5318192 5450048 5480332 5528974 5616208 5675384 5705519 5707328 5816096 5889568 5974859 6069128 6122996 6285136 6534242 6707272 6745024 6766804 6873568 6973109 7061197 7198048 7236268 7312514 7427888 7493816 7722286 7971392 7997132 8042144 8098156 8345051 8582288 8642062 8690704 8856328 8906176 9222499 9274408 9451156 9504352 9570548 9842624 10142704 10213346 10270832 10303997 10636384 10960664 11057948 11232416 11350768 11411038 11632192 11779136 11949718 12138256 12177451 12245992 12570272 13068484 13414544 13533608 13747136 13946218 14122394 14391533 14396096 14472536 14625028 14855776 14987632 15070913 15444572 15994264 16084288 16196312 16690102 16838239 17164576 17284124 17381408 17712656 18444998 18548816 18902312 19008704 19141096 19899737 20285408 20426692 20541664 20607994 21272768 21921328 21992113 22115896 22269929 22464832 22701536 22822076 23517871 23899436 24276512 24354902 24491984 25140544 25990679 26136968 26319007 26829088 27067216 27892436 28244788 28783066 28945072 29250056 29711552 29975264 30141826 30889144 31104281 31988528 32392624 33380204 33676478 34329152 34568248 34762816 35425312 35938331 36889996 37097632 37804624 38282192 39799474 40570816 40853384 41083328 41215988 42472573 43842656 43984226 44231792 44539858 45403072 45644152 47035742 47531341 47798872 48553024 48709804 48983968 51981358 52273936 52638014 53658176 54134432 55784872 56173403 56489576 57566132 57890144 58500112 59950528 60283652 61778288 62208562 62760709 63977056 64785248 66760408 67352956 69136496 70850624 71876662 73779992 74171747 74195264 75609248 76564384 77673167 79598948 81706768 82431976 84945146 87685312 87968452 88463584 89079716 91288304 91795561 94071484 95062682 95597744 97419608 97967936 103962716 104547872 105276028 108268864 111569744 112346806 112979152 113343967 115132264 115780288 117000224 120567304 123556576 124417124 125521418 127954112 129570496 133520816 133951961 134705912 138272992 143753324 147559984 148343494 151218496 153128768 155346334 158306863 159197896 163413536 164863952 169890292 175936904 176927168 178159432 182576608 183591122 185220629 188142968 190125364 191195488 194839216 207925432 209095744 210552056 218897107 223139488 224693612 225958304 226687934 230264528 234000448 241134608 244969219 247113152 248834248 251042836 258696581 267041632 267903922 269411824 276545984 285897469 287506648 289509077 295119968 296686988 310692668 316613726 318395792 326827072 329727904 339780584 342147091 351873808 356318864 365153216 367182244 370441258 376285936 380250728 382390976 389678432 415850864 421104112 437794214 446278976 449387224 451916608 453375868 460529056 467198303 482269216 489938438 497668496 502085672 517393162 534083264 535807844 538823648 571794938 575013296 579018154 590239936 593373976 617907433 621385336 633227452 636791584 659455808 679561168 684294182 690367799 703747616 712637728 734364488 740882516 752571872 760501456 779356864 815889217 831701728 842208224 875588428 898774448 906751736 921058112 934396606 964232711 964538432 979876876 995336992 1004171344 1009751171 1034786324 1071615688 1077647296 1143589876 1150026592 1158036308 1186747952 1235814866 1242770672 1266454904 1273583168 1359122336 1368588364 1380735598 1407495232 1425275456 1468728976 1473471571 1481765032 1505143744 1521002912 1631778434 1663403456 1684416448 1741375493 1751176856 1797548896 1813503472 1868793212 1928465422 1959753752 1990673984 2008342688 2019502342 2069572648 2143231376 2287179752 2300053184 2316072616 2373495904 2407868177 2471629732 2485541344 2532909808 2718244672 2737176728 2761471196 2845662391 2937457952 2946943142 2963530064 3042005824 3184599847 3263556868 3482750986 3502353712 3595097792 3627006944 3737586424 3763618001 3856930844 3919507504 4016685376 4039004684 4139145296 4286462752 4574359504 4632145232 4746991808 4815736354 4943259464 4971082688 5065819616 5474353456 5522942392 5691324782 5874915904 5893886284 5927060128 6369199694 6527113736 6965501972 7004707424 7254013888 7475172848 7527236002 7594045789 7713861688 7839015008 8078009368 8278290592 8572925504 8974781387 9148719008 9264290464 9631472708 9886518928 10131639232 10606559821 10948706912 11045884784 11382649564 11787772568 11854120256 12738399388 13054227472 13931003944 14009414848 14950345696 15054472004 15188091578 15427723376 15678030016 16156018736 16556581184 17949562774 18297438016 18528580928 19155130423 19262945416 19773037856 21213119642 21897413824 22091769568 22765299128 23575545136 25476798776 26108454944 27862007888 29900691392 30108944008 30376183156 30855446752 31302286301 32312037472 35899125548 38310260846 38525890832 39546075712 41399798011 42426239284 44183539136 45530598256 47151090272 50953597552 52216909888 55724015776 60217888016 60752366312 61710893504 62604572602 64624074944 71798251096 76620521692 77051781664 82799596022 84852478568 91061196512 94302180544 98722595257 101907195104 111448031552 116672158031 120435776032 121504732624 125209145204 143596502192 153241043384 154103563328 165599192044 169704957136 182122393024 197445190514 203814390208 233344316062 240871552064 243009465248 250418290408 287193004384 306482086768 331198384088 339409914272 394890381028 466688632124 486018930496 500836580816 574386008768 612964173536 662396768176 678819828544 789780762056 933377264248 1001673161632 1225928347072 1283393738341 1324793536352 1579561524112 1866754528496 2003346323264 2566787476682 2649587072704 3159123048224 3733509056992 5133574953364 6318246096448 7467018113984 10267149906728 20534299813456 41068599626912 82137199253824
- Sum of all divisors σ(n): 208388709268992
- Sum of proper divisors (its aliquot sum) s(n): 126251510015168
- 82137199253824 is an abundant number, because the sum of its proper divisors (126251510015168) is greater than itself. Its abundance is 44114310761344
Bases of 82137199253824
- Binary: 100101010110100000011101001010110011001010000002
- Hexadecimal: 0x4AB40E959940
- Base-36: T45B3PS1S
Squares and roots of 82137199253824
- 82137199253824 squared (821371992538242) is 6746519501262385862378622976
- 82137199253824 cubed (821371992538243) is 554140216544997904681403397858075822260224
-
The
square root of 82137199253824 is 9062957.5334889439 -
The
cube root of 82137199253824 is 43469.0314224043
Scales and comparisons
How big is 82137199253824?- 82,137,199,253,824 seconds is equal to 2,611,708 years, 45 weeks, 1 day, 9 hours, 37 minutes, 4 seconds.
-
To count from 1 to 82,137,199,253,824 would take you about six million, five hundred twenty-nine thousand, two hundred seventy-two 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 82137199253824 cubic inches would be around 3622.4 feet tall.
Recreational maths with 82137199253824
- 82137199253824 backwards is 42835299173128
- 82137199253824 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82137199253824's digits is 64
- More coming soon!
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The information we have on file for 82137199253824 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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