42204489166125
42,204,489,166,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 42204489166125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
42204489166125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42204489166125:
36 × 53 × 113 × 132 × 29 × 71
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 13 × 13 × 29 × 71)See below for interesting mathematical facts about the number 42204489166125 from the Numbermatics database.
Names of 42204489166125
- Cardinal: 42204489166125 can be written as Forty-two trillion, two hundred four billion, four hundred eighty-nine million, one hundred sixty-six thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2204489166125 × 1013
Factors of 42204489166125
Divisors of 42204489166125
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 3 5 9 11 13 15 25 27 29 33 39 45 55 65 71 75 81 87 99 117 121 125 135 143 145 165 169 195 213 225 243 261 275 297 319 325 351 355 363 375 377 405 429 435 495 507 585 605 639 675 715 725 729 781 783 825 845 891 923 957 975 1053 1065 1089 1125 1131 1215 1287 1305 1331 1375 1485 1521 1573 1595 1625 1755 1775 1815 1859 1885 1917 2025 2059 2145 2175 2343 2349 2475 2535 2673 2769 2871 2925 3025 3159 3195 3267 3375 3393 3509 3575 3625 3645 3861 3905 3915 3993 4125 4147 4225 4455 4563 4615 4719 4785 4875 4901 5265 5325 5445 5577 5655 5751 6075 6177 6435 6525 6655 7029 7047 7425 7605 7865 7975 8019 8307 8591 8613 8775 8875 9075 9295 9425 9477 9585 9801 10125 10153 10179 10295 10527 10725 10875 11583 11715 11745 11979 11999 12375 12441 12675 13365 13689 13845 14157 14355 14625 14703 15125 15795 15975 16335 16731 16965 17253 17303 17545 17875 18225 18531 19305 19525 19575 19965 20449 20735 21087 21125 21141 22275 22649 22815 23075 23595 23925 24505 24921 25773 25839 26325 26625 26767 27225 27885 28275 28755 29403 30375 30459 30537 30885 31581 32175 32625 33275 34749 35145 35235 35937 35997 37125 37323 38025 38599 39325 39875 40095 41067 41535 42471 42955 43065 43875 44109 45375 45617 46475 47125 47385 47925 49005 50193 50765 50895 51475 51759 51909 52635 53625 53911 55593 57915 58575 58725 59895 59995 61347 62205 63261 63375 66825 67947 68445 69225 70785 71775 73515 74763 77319 77517 78975 79875 80301 81675 83655 84825 86265 86515 87725 88209 91125 91377 91611 92655 94501 94743 96525 97625 97875 99825 102245 103675 104247 105435 105705 107811 107991 111375 111683 111969 113245 114075 115375 115797 117975 119625 122525 123201 124605 127413 128865 129195 131625 131989 132327 133835 136125 136851 139425 141375 143775 147015 150579 152295 152685 154425 155727 157905 160875 161733 166375 166779 173745 175725 176175 179685 179985 184041 186615 189783 190125 192995 196625 200475 203841 205335 207675 212355 214775 215325 220545 224289 224939 228085 231957 232375 232551 236925 239625 240903 245025 249139 250965 253825 254475 257375 258795 259545 263175 269555 274131 274833 277965 283503 284229 289575 292875 293625 294437 299475 299975 306735 311025 316305 323433 323973 334125 335049 335907 339735 342225 346125 347391 347971 353925 358875 367575 373815 382239 386595 387585 394875 395967 396981 401505 408375 410553 418275 424125 431325 432575 438625 441045 451737 456885 458055 463275 467181 472505 473715 482625 485199 499125 500337 501787 511225 518375 521235 527175 528525 539055 539955 552123 558415 559845 566225 569349 570375 578985 589875 593021 611523 612625 616005 623025 637065 644325 645975 659945 661635 669175 672867 674817 684255 695871 697125 718875 722709 735075 747417 752895 761475 763425 772125 778635 789525 808665 822393 833895 850509 852687 868725 878625 880875 883311 898425 899925 920205 933075 948915 964975 970299 971919 1002375 1005147 1007721 1019205 1026675 1038375 1042173 1043913 1061775 1073875 1076625 1102725 1121445 1124695 1140425 1146717 1159785 1162755 1184625 1187901 1190943 1204515 1225125 1228513 1231659 1245695 1254825 1269125 1272375 1293975 1297725 1315875 1347775 1355211 1370655 1374165 1389825 1401543 1417515 1421145 1447875 1451879 1455597 1472185 1497375 1499875 1501011 1505361 1533675 1555125 1581525 1617165 1619865 1656369 1675245 1679535 1698675 1711125 1736955 1739855 1769625 1779063 1834569 1837875 1869075 1911195 1932975 1937925 1979835 1984905 2007525 2024451 2052765 2087613 2091375 2156625 2162875 2168127 2205225 2242251 2258685 2284425 2290275 2316375 2335905 2362525 2368575 2425995 2467179 2501685 2508935 2551527 2556125 2558061 2606175 2635875 2642625 2649933 2695275 2699775 2740529 2760615 2792075 2799225 2831125 2846745 2894925 2915757 2965105 3015441 3023163 3057615 3080025 3115125 3126519 3131739 3185325 3221625 3229875 3238807 3299725 3308175 3345875 3364335 3374085 3421275 3479355 3563703 3572829 3613545 3675375 3685539 3694977 3737085 3764475 3807375 3817125 3827681 3893175 3947625 4043325 4111965 4169475 4204629 4252545 4263435 4343625 4355637 4366791 4416555 4492125 4499625 4516083 4601025 4665375 4744575 4824875 4851495 4859595 4969107 5025735 5038605 5096025 5133375 5210865 5219565 5308875 5337189 5503707 5513625 5607225 5623475 5702125 5733585 5798925 5813775 5939505 5954715 6022575 6073353 6142565 6158295 6228475 6262839 6274125 6469875 6488625 6504381 6523231 6726753 6738875 6776055 6853275 6870825 6949125 7007715 7087575 7105725 7259395 7277985 7360925 7401537 7505055 7526805 7654581 7668375 7907625 7949799 8085825 8099325 8221587 8281845 8376225 8397675 8493375 8684775 8699275 8747271 8895315 9046323 9172845 9345375 9379557 9395217 9555975 9664875 9689625 9716421 9899175 9924525 10037625 10122255 10263825 10438065 10691109 10840635 11026125 11056617 11084931 11211255 11293425 11422125 11451375 11483043 11679525 11812625 11842875 12129975 12335895 12508425 12544675 12613887 12757635 12790305 13030875 13066911 13100373 13249665 13476375 13498875 13548249 13702645 13803075 13960375 13996125 14233725 14474625 14578785 14825525 14907321 15077205 15115815 15288075 15400125 15632595 15658695 15926625 15970669 16011567 16194035 16498625 16511121 16540875 16821675 16870425 17106375 17396775 17818515 17864145 18067725 18220059 18427695 18474885 18685425 18822375 19138405 19465875 19513143 19569693 20180259 20216625 20559825 20847375 21023145 21262725 21317175 21778185 21833955 22082775 22580415 22963743 23005125 23722875 23849397 24257475 24297975 24664761 24845535 25128675 25193025 25480125 26054325 26097825 26685945 27138969 27518535 28036125 28117375 28138671 28185651 28667925 28994625 29068875 29149263 29697525 29773575 30112875 30366765 30712825 30791475 31142375 31314195 32073327 32521905 32616155 33169851 33254793 33633765 33880275 34266375 34354125 34449129 35038575 35437875 35528625 35626877 36296975 36389925 36804625 37007685 37525275 37634025 38272905 39200733 39301119 39748995 40429125 40496625 40644747 41107935 41409225 41881125 41988375 42104491 43423875 43496375 43736355 44476575 45231615 45864225 46897785 46976085 47779875 47912007 48034701 48582105 49495875 49622625 50611275 51319125 52190325 53455545 54203175 54660177 55283085 55424655 56056275 56467125 57415215 58397625 58709079 60540777 60649875 61679475 62542125 62723375 63069435 63788175 63951525 65334555 65501865 66248325 67741245 68513225 68891229 69015375 71168625 71548191 72893925 73994283 74127625 74536605 75386025 75579075 76440375 78162975 78293475 79853345 80057835 80970175 81416907 82555605 84108375 84352125 84556953 86983875 87447789 89092575 89320725 90338625 91100295 92138475 92374425 93427125 95692025 96219981 97565715 97848465 99509553 100901295 102799125 103347387 105115725 106313625 106585875 106880631 108890925 109169775 110413875 112902075 114818715 117602199 119246985 121287375 121489875 121934241 123323805 124227675 125643375 125965125 126313473 130271625 130489125 133429725 135694845 137592675 140693355 140928255 143339625 143736021 144104103 145746315 148487625 148867875 151833825 153564125 153957375 156570975 160366635 162609525 163080775 163980531 165849255 166273965 168168825 169401375 172245645 175192875 176127237 178134385 181484875 181622331 181949625 185038425 187626375 188170125 191364525 196003665 196505595 198744975 203223735 205539675 207046125 210522455 214644573 218681775 221982849 222382875 226158075 229321125 234488925 234880425 239560035 240173505 242910525 253056375 253670859 260951625 262343367 267277725 271015875 273300885 276415425 277123275 280281375 287076075 293545395 298528659 302703885 308397375 310042161 315347175 318940875 319757625 320641893 326672775 327509325 331241625 338706225 342566125 344456145 352806597 357740955 364469625 365802723 369971415 372683025 376930125 377895375 378940419 390814875 391467375 399266725 400289175 404850875 407084535 412778025 422784765 431208063 432312309 437238945 445462875 446603625 455501475 460692375 461872125 463149401 478460125 481099905 487828575 489242325 497547765 504506475 516736935 525578625 528381711 534403155 544454625 545848875 564510375 574093575 588010995 596234925 609671205 616619025 621138375 631567365 665948547 667148625 678474225 687963375 703466775 704641275 718680105 720520515 728731575 759169125 782854875 787030101 801833175 813047625 815403875 819902655 829246275 831369825 840844125 861228225 880636185 890671925 895585977 908111655 925192125 930126483 956822625 961925679 980018325 982527975 993724875 1016118675 1027698375 1052612275 1058419791 1073222865 1093408875 1109914245 1130790375 1136821257 1172444625 1174402125 1197800175 1200867525 1214552625 1268354295 1293624189 1311716835 1336388625 1366504425 1382077125 1385616375 1389448203 1435380375 1467726975 1492643295 1513519425 1550210805 1576735875 1585145133 1603209465 1633363875 1637546625 1693531125 1722280725 1764032985 1788704775 1829013615 1849857075 1863415125 1894702095 1996333625 1997845641 2001445875 2035422675 2063890125 2113923825 2156040315 2161561545 2186194725 2277507375 2315747005 2361090303 2405499525 2439142875 2446211625 2487738825 2522532375 2583684675 2641908555 2672015775 2790379449 2870467875 2885777037 2940054975 2981174625 3048356025 3083095125 3157836825 3329742735 3392371125 3410463771 3517333875 3523206375 3593400525 3602602575 3643657875 3880872567 3935150505 4009165875 4099513275 4146231375 4156849125 4168344609 4306141125 4403180925 4453359625 4477929885 4540558275 4650632415 4755435399 4809628395 4900091625 4912639875 5080593375 5263061375 5292098955 5366114325 5549571225 5684106285 5989000875 6004337625 6341771475 6468120945 6558584175 6832522125 6947241015 7338634875 7463216475 7567597125 7751054025 7925725665 8016047325 8611403625 8657331111 8820164925 8943523875 9145068075 9249285375 9473510475 9989228205 10177113375 10231391313 10569619125 10780201575 10807807725 10930973625 11578735025 11642617701 11805451515 12027497625 12438694125 12505033827 12918423375 13209542775 13360078875 13951897245 14428885185 14700274875 15241780125 15789184125 16648713675 17052318855 17967002625 18013012875 19404362835 19675752525 20497566375 20841723045 22015904625 22389649425 22702791375 23253162075 23777176995 24048141975 25971993333 26460494775 26830571625 27747856125 28420531425 30694173939 31708857375 32340604725 32792920875 34736205075 37316082375 37515101481 38755270125 39628628325 40080236625 43286655555 44100824625 45725340375 47367552375 49946141025 51156956565 53901007875 54039038625 57893675125 58213088505 59027257575 62525169135 66047713875 69759486225 72144425925 83243568375 85261594275 97021814175 98378762625 104208615225 111948247125 112545304443 116265810375 118885884975 120240709875 129859966665 132302473875 142102657125 153470869695 161703023625 173681025375 187575507405 198143141625 216433277775 249730705125 255784782825 291065442525 295136287875 312625845675 337635913329 348797431125 360722129625 426307971375 485109070875 521043076125 562726522215 594429424875 649299833325 767354348475 937877537025 1082166388875 1278923914125 1455327212625 1563129228375 1688179566645 2813632611075 3246499166625 3836771742375 4689387685125 8440897833225 14068163055375 42204489166125
- Sum of all divisors σ(n): 98671260879360
- Sum of proper divisors (its aliquot sum) s(n): 56466771713235
- 42204489166125 is an abundant number, because the sum of its proper divisors (56466771713235) is greater than itself. Its abundance is 14262282547110
Bases of 42204489166125
- Binary: 10011001100010011111111001010110101101001011012
- Hexadecimal: 0x26627F95AD2D
- Base-36: EYKH35TT9
Squares and roots of 42204489166125
- 42204489166125 squared (422044891661252) is 1781218905773562497847515625
- 42204489166125 cubed (422044891661253) is 75175434011217345652851066827559158203125
-
The
square root of 42204489166125 is 6496498.2233604129 -
The
cube root of 42204489166125 is 34816.5886159941
Scales and comparisons
How big is 42204489166125?- 42,204,489,166,125 seconds is equal to 1,341,972 years, 10 weeks, 5 days, 20 hours, 48 minutes, 45 seconds.
-
To count from 1 to 42,204,489,166,125 would take you about three million, three hundred fifty-four thousand, nine hundred thirty 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 42204489166125 cubic inches would be around 2901.4 feet tall.
Recreational maths with 42204489166125
- 42204489166125 backwards is 52166198440224
- The number of decimal digits it has is: 14
- The sum of 42204489166125's digits is 54
- More coming soon!
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Cite this page
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"Number 42204489166125 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 42204489166125 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/42204489166125/
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The information we have on file for 42204489166125 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 42204489166125, math, Factors of 42204489166125, curriculum, school, college, exams, university, Prime factorization of 42204489166125, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, two hundred four billion, four hundred eighty-nine million, one hundred sixty-six thousand, one hundred twenty-five.