242077124038464
242,077,124,038,464 is an even composite number composed of seven prime numbers multiplied together.
242077124038464 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 242077124038464:
26 × 33 × 11 × 13 × 17 × 409 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 17 × 409 × 140897)See below for interesting mathematical facts about the number 242077124038464 from the Numbermatics database.
Names of 242077124038464
- Cardinal: 242077124038464 can be written as Two hundred forty-two trillion, seventy-seven billion, one hundred twenty-four million, thirty-eight thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 2.42077124038464 × 1014
Factors of 242077124038464
Divisors of 242077124038464
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 44 48 51 52 54 64 66 68 72 78 88 96 99 102 104 108 117 132 136 143 144 153 156 176 187 192 198 204 208 216 221 234 264 272 286 288 297 306 312 351 352 374 396 408 409 416 429 432 442 459 468 528 544 561 572 576 594 612 624 663 702 704 748 792 816 818 832 858 864 884 918 936 1056 1088 1122 1144 1188 1224 1227 1248 1287 1326 1404 1496 1584 1632 1636 1683 1716 1728 1768 1836 1872 1989 2112 2244 2288 2376 2431 2448 2454 2496 2574 2652 2808 2992 3168 3264 3272 3366 3432 3536 3672 3681 3744 3861 3978 4488 4499 4576 4752 4862 4896 4908 5049 5148 5304 5317 5616 5967 5984 6336 6544 6732 6864 6953 7072 7293 7344 7362 7488 7722 7956 8976 8998 9152 9504 9724 9792 9816 10098 10296 10608 10634 11043 11232 11934 11968 13088 13464 13497 13728 13906 14144 14586 14688 14724 15444 15912 15951 17952 17996 19008 19448 19632 20196 20592 20859 21216 21268 21879 22086 22464 23868 26176 26928 26994 27456 27812 29172 29376 29448 30888 31824 31902 35904 35992 38896 39264 40392 40491 41184 41718 42432 42536 43758 44172 47736 47853 53856 53988 55624 58344 58487 58896 61776 62577 63648 63804 65637 71984 76483 77792 78528 80784 80982 82368 83436 85072 87516 88344 90389 95472 95706 107712 107976 111248 116688 116974 117792 121473 123552 125154 127296 127608 131274 140897 143559 143968 152966 155584 161568 161964 166872 170144 175032 175461 176688 180778 187731 190944 191412 215952 222496 229449 233376 233948 235584 242946 247104 250308 255216 262548 271167 281794 287118 287936 305932 323136 323928 333744 340288 350064 350922 353376 361556 375462 381888 382824 422691 431904 444992 458898 466752 467896 485892 500616 510432 525096 526383 542334 563588 574236 611864 647856 667488 688347 700128 701844 706752 723112 750924 765648 813501 845382 863808 917796 935792 971784 994279 1001232 1020864 1050192 1052766 1084668 1127176 1148472 1223728 1268073 1295712 1334976 1376694 1400256 1403688 1446224 1501848 1531296 1549867 1579149 1627002 1690764 1831661 1835592 1871584 1943568 1988558 2002464 2065041 2100384 2105532 2169336 2254352 2296944 2395249 2440503 2447456 2536146 2591424 2753388 2807376 2892448 2982837 3003696 3062592 3099734 3158298 3254004 3381528 3663322 3671184 3743168 3804219 3887136 3977116 4004928 4130082 4200768 4211064 4338672 4508704 4593888 4649601 4790498 4881006 4894912 5072292 5494983 5506776 5614752 5784896 5965674 6007392 6199468 6316596 6508008 6763056 7185747 7326644 7342368 7608438 7774272 7954232 8260164 8422128 8677344 8948511 9017408 9187776 9299202 9580996 9762012 10144584 10989966 11013552 11229504 11931348 12014784 12398936 12633192 13016016 13526112 13948803 14371494 14653288 14684736 15216876 15908464 16484949 16520328 16844256 17354688 17897022 18598404 19161992 19524024 20148271 20289168 21557241 21979932 22027104 23862696 24797872 25266384 26032032 26347739 26845533 27052224 27897606 28742988 29306576 30433752 31138237 31816928 32969898 33040656 33688512 35794044 37196808 38323984 39048048 40296542 40578336 41846409 43114482 43959864 44054208 47725392 49454847 49595744 50532768 52064064 52695478 53691066 55795212 57485976 57626873 58613152 60444813 60867504 62276474 63633856 64671723 65939796 66081312 71588088 74393616 76647968 78096096 79043217 80593084 81156672 83692818 86228964 87919728 93414711 95450784 98909694 99191488 101065536 105390956 107382132 111590424 114971952 115253746 117226304 120889626 121735008 124552948 129343446 131879592 132162624 143176176 148787232 153295936 156192192 158086434 161186168 167385636 172457928 172880619 175839456 181334439 186829422 190901568 197819388 210781912 214764264 223180848 229943904 230507492 237129651 241779252 243470016 249105896 258686892 263759184 280244133 286352352 297574464 316172868 322372336 334771272 342520607 344915856 345761238 351678912 362668878 373658844 395638776 421563824 429528528 446361696 459887808 461014984 474259302 483558504 498211792 517373784 518641857 527518368 544003317 560488266 572704704 632345736 633895603 644744672 669542544 685041214 689831712 691522476 711388953 725337756 747317688 749149349 791277552 840732399 843127648 859057056 892723392 922029968 948518604 967117008 979656841 996423584 1027561821 1034747568 1037283714 1055036736 1088006634 1120976532 1264691472 1267791206 1289489344 1339085088 1370082428 1379663424 1383044952 1422777906 1450675512 1494635376 1498298698 1555925571 1582555104 1681464798 1686255296 1718114112 1844059936 1897037208 1901686809 1934234016 1959313682 1992847168 2055123642 2069495136 2074567428 2176013268 2241953064 2247448047 2529382944 2535582412 2678170176 2740164856 2766089904 2845555812 2901351024 2938970523 2989270752 2996597396 3082685463 3111851142 3165110208 3362929596 3688119872 3794074416 3803373618 3868468032 3918627364 4110247284 4138990272 4149134856 4352026536 4483906128 4494896094 5058765888 5071164824 5480329712 5532179808 5691111624 5705060427 5802702048 5877941046 5978541504 5993194792 6165370926 6223702284 6725859192 6742344141 7588148832 7606747236 7837254728 8220494568 8240642839 8298269712 8704053072 8816911569 8967812256 8989792188 9248056389 10142329648 10776225251 10960659424 11064359616 11382223248 11410120854 11605404096 11755882092 11986389584 12330741852 12447404568 12735538933 13451718384 13484688282 15176297664 15213494472 15674509456 16440989136 16481285678 16596539424 17115181281 17408106144 17633823138 17935624512 17979584376 18496112778 20227032423 20284659296 21552450502 21921318848 22764446496 22820241708 23511764184 23972779168 24661483704 24721928517 24894809136 25471077866 26450734707 26903436768 26969376564 30426988944 31349018912 32328675753 32881978272 32962571356 33193078848 34230362562 34816212288 35267646276 35959168752 36992225556 38206616799 40454064846 40569318592 43104901004 45528892992 45640483416 47023528368 47945558336 49322967408 49443857034 49789618272 50942155732 52901469414 53806873536 53938753128 60853977888 62698037824 64657351506 65763956544 65925142712 68460725124 70535292552 71918337504 73984451112 74165785551 76413233598 80908129692 86209802008 91280966832 94047056736 96986027259 98645934816 98887714068 99579236544 101884311464 105802938828 107877506256 114619850397 121707955776 129314703012 131850285424 136921450248 140090928263 141070585104 143836675008 147968902224 148331571102 152826467196 161816259384 172419604016 182561933664 188094113472 193972054518 197291869632 197775428136 203768622928 211605877656 215755012512 222497356653 229239700794 258629406024 263700570848 273842900496 280181856526 282141170208 290958081777 295937804448 296663142204 305652934392 323632518768 343859551191 344839208032 365123867328 387944109036 395550856272 407537245856 420272784789 423211755312 431510025024 444994713306 458479401588 517258812048 527401141696 547685800992 560363713052 564282340416 581916163554 591875608896 593326284408 611305868784 647265037536 687719102382 689678416064 775888218072 791101712544 815074491712 840545569578 846423510624 889989426612 916958803176 1034517624096 1095371601984 1120727426104 1163832327108 1186652568816 1222611737568 1260818354367 1294530075072 1375438204764 1551776436144 1582203425088 1681091139156 1692847021248 1779978853224 1833917606352 2069035248192 2241454852208 2327664654216 2373305137632 2445223475136 2521636708734 2750876409528 3103552872288 3362182278312 3559957706448 3667835212704 3782455063101 4482909704416 4655329308432 4746610275264 5043273417468 5501752819056 6207105744576 6724364556624 7119915412896 7335670425408 7564910126202 8965819408832 9310658616864 10086546834936 11003505638112 13448729113248 14239830825792 15129820252404 18621317233728 20173093669872 22007011276224 26897458226496 30259640504808 40346187339744 60519281009616 80692374679488 121038562019232 242077124038464
- Sum of all divisors σ(n): 887430159705600
- Sum of proper divisors (its aliquot sum) s(n): 645353035667136
- 242077124038464 is an abundant number, because the sum of its proper divisors (645353035667136) is greater than itself. Its abundance is 403275911628672
Bases of 242077124038464
- Binary: 1101110000101010111110001111110010001111010000002
- Hexadecimal: 0xDC2AF8FC8F40
- Base-36: 2DT4P1EMO0
Squares and roots of 242077124038464
- 242077124038464 squared (2420771240384642) is 58601333982733884996551479296
- 242077124038464 cubed (2420771240384643) is 14186042395357726247623808178428580803641344
-
The
square root of 242077124038464 is 15558827.8491171693 -
The
cube root of 242077124038464 is 62323.4161447521
Scales and comparisons
How big is 242077124038464?- 242,077,124,038,464 seconds is equal to 7,697,303 years, 39 weeks, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 242,077,124,038,464 would take you about nineteen million, two hundred forty-three thousand, two hundred fifty-nine 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 242077124038464 cubic inches would be around 5193.6 feet tall.
Recreational maths with 242077124038464
- 242077124038464 backwards is 464830421770242
- 242077124038464 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242077124038464's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 242077124038464 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 242077124038464 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/242077124038464/
Chicago style:
Numbermatics. 2024. "Number 242077124038464 - Facts about the integer". https://numbermatics.com/n/242077124038464/
The information we have on file for 242077124038464 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 242077124038464, math, Factors of 242077124038464, curriculum, school, college, exams, university, Prime factorization of 242077124038464, STEM, science, technology, engineering, physics, economics, calculator, two hundred forty-two trillion, seventy-seven billion, one hundred twenty-four million, thirty-eight thousand, four hundred sixty-four.