242288916090624
242,288,916,090,624 is an even composite number composed of five prime numbers multiplied together.
What does the number 242288916090624 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
242288916090624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 242288916090624:
28 × 35 × 13 × 192 × 9112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 19 × 911 × 911)See below for interesting mathematical facts about the number 242288916090624 from the Numbermatics database.
Names of 242288916090624
- Cardinal: 242288916090624 can be written as Two hundred forty-two trillion, two hundred eighty-eight billion, nine hundred sixteen million, ninety thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 2.42288916090624 × 1014
Factors of 242288916090624
Divisors of 242288916090624
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 81 96 104 108 114 117 128 144 152 156 162 171 192 208 216 228 234 243 247 256 288 304 312 324 342 351 361 384 416 432 456 468 486 494 513 576 608 624 648 684 702 722 741 768 832 864 911 912 936 972 988 1026 1053 1083 1152 1216 1248 1296 1368 1404 1444 1482 1539 1664 1728 1822 1824 1872 1944 1976 2052 2106 2166 2223 2304 2432 2496 2592 2733 2736 2808 2888 2964 3078 3159 3249 3328 3456 3644 3648 3744 3888 3952 4104 4212 4332 4446 4617 4693 4864 4992 5184 5466 5472 5616 5776 5928 6156 6318 6498 6669 6912 7288 7296 7488 7776 7904 8199 8208 8424 8664 8892 9234 9386 9747 9984 10368 10932 10944 11232 11552 11843 11856 12312 12636 12996 13338 14079 14576 14592 14976 15552 15808 16398 16416 16848 17309 17328 17784 18468 18772 19494 20007 20736 21864 21888 22464 23104 23686 23712 24597 24624 25272 25992 26676 28158 29152 29241 29952 31104 31616 32796 32832 33696 34618 34656 35529 35568 36936 37544 38988 40014 42237 43728 43776 44928 46208 47372 47424 49194 49248 50544 51927 51984 53352 56316 58304 58482 60021 62208 63232 65592 65664 67392 69236 69312 71058 71136 73791 73872 75088 77976 80028 84474 87456 87723 89856 92416 94744 94848 98388 98496 101088 103854 103968 106587 106704 112632 116608 116964 120042 126711 131184 131328 134784 138472 138624 142116 142272 147582 147744 150176 155781 155952 160056 168948 174912 175446 189488 189696 196776 196992 202176 207708 207936 213174 213408 221373 225017 225264 233216 233928 240084 253422 262368 269568 276944 277248 284232 284544 295164 295488 300352 311562 311904 319761 320112 328871 337896 349824 350892 378976 380133 393552 393984 404352 415416 415872 426348 426816 442746 450034 450528 467343 467856 480168 506844 524736 553888 568464 569088 590328 590976 600704 623124 623808 639522 640224 657742 675051 675792 699648 701784 757952 760266 787104 808704 829921 830832 831744 852696 853632 885492 900068 901056 934686 935712 959283 960336 986613 1013688 1049472 1107776 1136928 1140399 1180656 1181952 1201408 1246248 1247616 1279044 1280448 1315484 1350102 1351584 1402029 1403568 1515904 1520532 1574208 1659842 1661664 1705392 1707264 1770984 1800136 1802112 1869372 1871424 1918566 1920672 1973226 2025153 2027376 2098944 2215552 2273856 2280798 2361312 2489763 2492496 2495232 2558088 2560896 2630968 2700204 2703168 2804058 2807136 2877849 2959839 3031808 3041064 3148416 3319684 3323328 3410784 3541968 3600272 3604224 3738744 3742848 3837132 3841344 3946452 4050306 4054752 4206087 4275323 4431104 4547712 4561596 4722624 4979526 4984992 5116176 5121792 5261936 5400408 5406336 5608116 5614272 5755698 5919678 6075459 6082128 6296832 6639368 6646656 6821568 7083936 7200544 7469289 7477488 7485696 7674264 7682688 7892904 8100612 8109504 8412174 8550646 8879517 9095424 9123192 9445248 9959052 9969984 10232352 10523872 10788973 10800816 10812672 11216232 11228544 11511396 11839356 12150918 12164256 12825969 13278736 13293312 13643136 14167872 14401088 14938578 14954976 15348528 15365376 15768499 15785808 16201224 16219008 16824348 17101292 17759034 18226377 18246384 18890496 19918104 19939968 20464704 21047744 21577946 21601632 22407867 22432464 22457088 23022792 23678712 24301836 24328512 25651938 26557472 26638551 27286272 28335744 28802176 29877156 29909952 30697056 31536998 31571616 32366919 32402448 32438016 33648696 34202584 35518068 36452754 36492768 38477907 39836208 39879936 40929408 42095488 43155892 43203264 44815734 44864928 46045584 47305497 47357424 48603672 48657024 51303876 53114944 53277102 54679131 56671488 57604352 59754312 59819904 61394112 63073996 63143232 64733838 64804896 67223601 67297392 68405168 71036136 72905508 72985536 76955814 79672416 79915653 81858816 84190976 86311784 86406528 89631468 89729856 92091168 94610994 94714848 97100757 97207344 97314048 102607752 106229888 106554204 109358262 115433721 119508624 119639808 122788224 126147992 126286464 129467676 129609792 134447202 134594784 136810336 141916491 142072272 145811016 145971072 153911628 159344832 159831306 172623568 172813056 179262936 179459712 184182336 189221988 189429696 194201514 194414688 201670803 204990487 205215504 212459776 213108408 218716524 230867442 239017248 245576448 252295984 252572928 258935352 259219584 268894404 269189568 273620672 283832982 284144544 291302271 291622032 291942144 299601481 307823256 318689664 319662612 345247136 346301163 358525872 358919424 368364672 378443976 378859392 388403028 388829376 403341606 409980974 410431008 425749473 426216816 437433048 461734884 478034496 504591968 517870704 518439168 537788808 538379136 547241344 567665964 568289088 582604542 583244064 599202962 614971461 615646512 637379328 639325224 690494272 692602326 717051744 736729344 756887952 757718784 776806056 777658752 806683212 819961948 820862016 851498946 852433632 873906813 874866096 898804443 923469768 956068992 1009183936 1035741408 1038903489 1075577616 1076758272 1094482688 1135331928 1136578176 1165209084 1166488128 1198405924 1229942922 1231293024 1277248419 1278650448 1380988544 1385204652 1434103488 1513775904 1553612112 1555317504 1613366424 1639923896 1641724032 1702997892 1704867264 1747813626 1749732192 1797608886 1844914383 1846939536 1912137984 2018367872 2071482816 2077806978 2151155232 2270663856 2273156352 2330418168 2332976256 2396811848 2459885844 2462586048 2554496838 2557300896 2621720439 2696413329 2761977088 2770409304 2868206976 3027551808 3107224224 3226732848 3279847792 3283448064 3405995784 3409734528 3495627252 3499464384 3595217772 3689828766 3693879072 3831745257 3894819253 4036735744 4142965632 4155613956 4302310464 4541327712 4660836336 4665952512 4793623696 4919771688 4925172096 5108993676 5114601792 5243440878 5392826658 5534743149 5540818608 5736413952 6055103616 6214448448 6453465696 6559695584 6811991568 6819469056 6991254504 6998928768 7190435544 7379657532 7387758144 7663490514 7789638506 8089239987 8285931264 8311227912 8604620928 9082655424 9321672672 9587247392 9839543376 9850344192 10217987352 10229203584 10486881756 10785653316 11069486298 11081637216 11684457759 12110207232 12428896896 12906931392 13119391168 13623983136 13982509008 13997857536 14380871088 14759315064 14775516288 15326981028 15579277012 16178479974 16604229447 16622455824 17209241856 18165310848 18643345344 19174494784 19679086752 20435974704 20458407168 20973763512 21571306632 22138972596 22163274432 23368915518 24267719961 24857793792 25813862784 26238782336 27247966272 27965018016 28761742176 29518630128 29551032576 30653962056 31158554024 32356959948 33208458894 33244911648 35053373277 36330621696 37286690688 38348989568 39358173504 40871949408 41947527024 43142613264 44277945192 44326548864 46737831036 48535439922 49812688341 51627725568 52477564672 54495932544 55930036032 57523484352 59037260256 61307924112 62317108048 64713919896 66416917788 66489823296 70106746554 72803159883 74573381376 76697979136 78716347008 81743898816 83895054048 86285226528 88555890384 88653097728 93475662072 97070879844 99625376682 105160119831 108991865088 111860072064 115046968704 118074520512 122615848224 124634216096 129427839792 132833835576 132979646592 140213493108 145606319766 157432694016 163487797632 167790108096 172570453056 177111780768 186951324144 194141759688 199250753364 210320239662 223720144128 230093937408 236149041024 245231696448 249268432192 258855679584 265667671152 265959293184 280426986216 291212639532 315480359493 326975595264 335580216192 345140906112 354223561536 373902648288 388283519376 398501506728 420640479324 472298082048 490463392896 498536864384 517711359168 531335342304 560853972432 582425279064 630960718986 671160432384 690281812224 708447123072 747805296576 776567038752 797003013456 841280958648 946441078479 980926785792 997073728768 1035422718336 1062670684608 1121707944864 1164850558128 1261921437972 1416894246144 1495610593152 1553134077504 1594006026912 1682561917296 1892882156958 2070845436672 2125341369216 2243415889728 2329701116256 2523842875944 2991221186304 3106268155008 3188012053824 3365123834592 3785764313916 4250682738432 4486831779456 4659402232512 5047685751888 6212536310016 6376024107648 6730247669184 7571528627832 8973663558912 9318804465024 10095371503776 12752048215296 13460495338368 15143057255664 18637608930048 20190743007552 26920990676736 30286114511328 40381486015104 60572229022656 80762972030208 121144458045312 242288916090624
- Sum of all divisors σ(n): 824307085944888
- Sum of proper divisors (its aliquot sum) s(n): 582018169854264
- 242288916090624 is an abundant number, because the sum of its proper divisors (582018169854264) is greater than itself. Its abundance is 339729253763640
Bases of 242288916090624
- Binary: 1101110001011100010010001100011011001111000000002
- Hexadecimal: 0xDC5C48C6CF00
- Base-36: 2DVTZOXC00
Squares and roots of 242288916090624
- 242288916090624 squared (2422889160906242) is 58703918860369437455380709376
- 242288916090624 cubed (2422889160906243) is 14223308870950850303396110341978497822490624
-
The
square root of 242288916090624 is 15565632.5310160139 -
The
cube root of 242288916090624 is 62341.5863273649
Scales and comparisons
How big is 242288916090624?- 242,288,916,090,624 seconds is equal to 7,704,038 years, 4 weeks, 2 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 242,288,916,090,624 would take you about nineteen million, two hundred sixty thousand and ninety-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 242288916090624 cubic inches would be around 5195.1 feet tall.
Recreational maths with 242288916090624
- 242288916090624 backwards is 426090619882242
- The number of decimal digits it has is: 15
- The sum of 242288916090624's digits is 63
- More coming soon!
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The information we have on file for 242288916090624 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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