242142539584000
242,142,539,584,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 242142539584000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
242142539584000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 242142539584000:
29 × 53 × 11 × 312 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 31 × 31 × 71 × 71 × 71)See below for interesting mathematical facts about the number 242142539584000 from the Numbermatics database.
Names of 242142539584000
- Cardinal: 242142539584000 can be written as Two hundred forty-two trillion, one hundred forty-two billion, five hundred thirty-nine million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 2.42142539584 × 1014
Factors of 242142539584000
Divisors of 242142539584000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 31 32 40 44 50 55 62 64 71 80 88 100 110 124 125 128 142 155 160 176 200 220 248 250 256 275 284 310 320 341 352 355 400 440 496 500 512 550 568 620 640 682 704 710 775 781 800 880 961 992 1000 1100 1136 1240 1280 1364 1375 1408 1420 1550 1562 1600 1705 1760 1775 1922 1984 2000 2200 2201 2272 2480 2560 2728 2750 2816 2840 3100 3124 3200 3410 3520 3550 3844 3875 3905 3968 4000 4400 4402 4544 4805 4960 5041 5456 5500 5632 5680 6200 6248 6400 6820 7040 7100 7688 7750 7810 7936 8000 8525 8800 8804 8875 9088 9610 9920 10082 10571 10912 11000 11005 11360 12400 12496 12800 13640 14080 14200 15376 15500 15620 15872 16000 17050 17600 17608 17750 18176 19220 19525 19840 20164 21142 21824 22000 22010 22720 24025 24211 24800 24992 25205 27280 28160 28400 30752 31000 31240 32000 34100 35200 35216 35500 36352 38440 39050 39680 40328 42284 42625 43648 44000 44020 45440 48050 48422 49600 49984 50410 52855 54560 55025 55451 56800 61504 62000 62480 64000 68200 68231 70400 70432 71000 76880 78100 79360 80656 84568 85250 87296 88000 88040 90880 96100 96844 97625 99200 99968 100820 105710 109120 110050 110902 113600 120125 121055 123008 124000 124960 126025 136400 136462 140800 140864 142000 153760 156200 156271 161312 169136 170500 174592 176000 176080 181760 192200 193688 195250 198400 199936 201640 211420 218240 220100 221804 227200 240250 242110 246016 248000 249920 252050 264275 272800 272924 275125 277255 281728 284000 307520 312400 312542 322624 338272 341000 341155 352000 352160 357911 384400 387376 390500 396800 399872 403280 422840 436480 440200 443608 454400 480500 484220 492032 496000 499840 504100 528550 545600 545848 550250 554510 563456 568000 605275 615040 624800 625084 630125 645248 676544 682000 682310 704000 704320 715822 750541 768800 774752 781000 781355 806560 845680 872960 880400 887216 908800 961000 968440 992000 999680 1008200 1057100 1091200 1091696 1100500 1109020 1126912 1136000 1210550 1230080 1249600 1250168 1260250 1290496 1321375 1353088 1364000 1364620 1386275 1408640 1431644 1501082 1537600 1549504 1562000 1562710 1613120 1691360 1705775 1718981 1760800 1774432 1789555 1922000 1936880 1984000 1999360 2016400 2114200 2182400 2183392 2201000 2218040 2272000 2421100 2460160 2499200 2500336 2520500 2580992 2642750 2706176 2728000 2729240 2772550 2817280 2863288 3002164 3026375 3075200 3099008 3124000 3125420 3226240 3382720 3411550 3437962 3521600 3548864 3579110 3752705 3844000 3873760 3906775 3937021 4032800 4228400 4364800 4366784 4402000 4436080 4544000 4842200 4844401 4998400 5000672 5041000 5285500 5412352 5456000 5458480 5545100 5634560 5726576 6004328 6052750 6150400 6198016 6248000 6250840 6452480 6765440 6823100 6875924 6931375 7043200 7097728 7158220 7505410 7688000 7747520 7813550 7874042 8065600 8456800 8528875 8594905 8733568 8804000 8872160 8947775 9684400 9688802 9996800 10001344 10082000 10571000 10912000 10916960 11090200 11095241 11453152 12008656 12105500 12300800 12396032 12496000 12501680 12904960 13530880 13646200 13751848 13862750 14086400 14195456 14316440 15010820 15376000 15495040 15627100 15748084 16131200 16913600 17057750 17189810 17467136 17608000 17744320 17895550 18763525 19368800 19377604 19533875 19685105 20002688 20164000 21142000 21824000 21833920 22180400 22190482 22906304 24017312 24211000 24222005 24992000 25003360 27061760 27292400 27503696 27725500 28172800 28390912 28632880 30021640 30752000 30990080 31254200 31496168 32262400 33827200 34115500 34379620 34934272 35216000 35488640 35791100 37527050 38737600 38755208 39067750 39370210 40005376 40328000 42284000 42974525 43667840 44360800 44380964 44738875 45812608 48034624 48422000 48444010 49984000 50006720 53288411 54584800 55007392 55451000 55476205 57265760 60043280 61504000 61980160 62508400 62992336 64524800 67654400 68231000 68759240 70432000 70977280 71582200 75054100 77475200 77510416 78135500 78740420 80010752 80656000 84568000 85949050 87335680 88721600 88761928 89477750 91625216 93817625 96069248 96844000 96888020 98425525 100013440 106576822 109169600 110014784 110902000 110952410 114531520 120086560 121110025 122047651 125016800 125984672 135308800 136462000 137518480 140864000 141954560 143164400 150108200 154950400 155020832 156271000 157480840 161312000 169136000 171898100 174671360 177443200 177523856 178955500 183250432 187635250 192138496 193688000 193776040 196851050 200026880 213153644 214872625 218339200 220029568 221804000 221904820 229063040 240173120 242220050 244095302 250033600 251969344 266442055 272924000 275036960 277381025 286328800 300216400 309900800 310041664 312542000 314961680 322624000 338272000 343796200 343952471 354886400 355047712 357911000 375270500 384276992 387376000 387552080 393702100 400053760 426307288 429745250 436678400 440059136 443608000 443809640 458126080 480346240 484440100 488190604 492127625 500067200 503938688 532884110 545848000 550073920 554762050 572657600 600432800 605550125 610238255 620083328 625084000 629923360 676544000 687592400 687904942 709772800 710095424 715822000 750541000 774752000 775104160 787404200 852614576 859490500 873356800 880118272 887216000 887619280 916252160 960692480 968880200 976381208 984255250 1000134400 1007877376 1065768220 1091696000 1100147840 1109524100 1145315200 1200865600 1211100250 1220476510 1240166656 1250168000 1259846720 1332210275 1375184800 1375809884 1386905125 1420190848 1431644000 1501082000 1549504000 1550208320 1574808400 1705229152 1718981000 1719762355 1774432000 1775238560 1921384960 1937760400 1952762416 1968510500 2000268800 2015754752 2131536440 2183392000 2200295680 2219048200 2290630400 2401731200 2422200500 2440953020 2480333312 2500336000 2519693440 2664420550 2750369600 2751619768 2773810250 2840381696 2863288000 3002164000 3051191275 3100416640 3149616800 3410458304 3437962000 3439524710 3548864000 3550477120 3783477181 3875520800 3905524832 3937021000 4263072880 4366784000 4400591360 4438096400 4581260800 4803462400 4844401000 4881906040 5000672000 5039386880 5328841100 5500739200 5503239536 5547620500 5680763392 5726576000 6004328000 6102382550 6200833280 6299233600 6661051375 6820916608 6875924000 6879049420 7100954240 7566954362 7751041600 7811049664 7874042000 8526145760 8598811775 8876192800 9606924800 9688802000 9763812080 10001344000 10078773760 10657682200 11001478400 11006479072 11095241000 11453152000 12008656000 12204765100 12401666560 12598467200 13322102750 13641833216 13751848000 13758098840 14201908480 15133908724 15255956375 15502083200 15622099328 15748084000 17052291520 17197623550 17752385600 18917385905 19377604000 19527624160 21315364400 22002956800 22012958144 22190482000 22906304000 24017312000 24409530200 25196934400 26644205500 27283666432 27503696000 27516197680 28403816960 30267817448 30511912750 31004166400 31244198656 31496168000 34104583040 34395247100 35504771200 37834771810 38755208000 39055248320 42630728800 42994058875 44025916288 44380964000 48034624000 48819060400 50393868800 53288411000 55007392000 55032395360 60535634896 61023825500 62008332800 62488397312 62992336000 68209166080 68790494200 71009542400 75669543620 77510416000 78110496640 85261457600 85988117750 88051832576 88761928000 94586929525 97638120800 106576822000 110014784000 110064790720 121071269792 122047651000 125984672000 136418332160 137580988400 142019084800 151339087240 155020832000 156220993280 170522915200 171976235500 176103665152 177523856000 189173859050 195276241600 213153644000 220129581440 242142539584 244095302000 251969344000 275161976800 302678174480 310041664000 312441986560 341045830400 343952471000 355047712000 378347718100 390552483200 426307288000 440259162880 472934647625 484285079168 488190604000 550323953600 605356348960 682091660800 687904942000 710095424000 756695436200 781104966400 852614576000 880518325760 945869295250 968570158336 976381208000 1100647907200 1210712697920 1375809884000 1513390872400 1562209932800 1705229152000 1891738590500 1937140316672 1952762416000 2201295814400 2421425395840 2751619768000 3026781744800 3410458304000 3783477181000 3905524832000 4402591628800 4842850791680 5503239536000 6053563489600 7566954362000 7811049664000 9685701583360 11006479072000 12107126979200 15133908724000 22012958144000 24214253958400 30267817448000 48428507916800 60535634896000 121071269792000 242142539584000
- Sum of all divisors σ(n): 690344810318592
- Sum of proper divisors (its aliquot sum) s(n): 448202270734592
- 242142539584000 is an abundant number, because the sum of its proper divisors (448202270734592) is greater than itself. Its abundance is 206059731150592
Bases of 242142539584000
- Binary: 1101110000111010001101000000111010010010000000002
- Hexadecimal: 0xDC3A340E9200
- Base-36: 2DTYQW4SN4
Squares and roots of 242142539584000
- 242142539584000 squared (2421425395840002) is 58633009476189006893056000000
- 242142539584000 cubed (2421425395840003) is 14197545818017143707067461334728704000000000
-
The
square root of 242142539584000 is 15560929.9074316249 -
The
cube root of 242142539584000 is 62329.0294427291
Scales and comparisons
How big is 242142539584000?- 242,142,539,584,000 seconds is equal to 7,699,383 years, 39 weeks, 4 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 242,142,539,584,000 would take you about nineteen million, two hundred forty-eight thousand, four 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 242142539584000 cubic inches would be around 5194.1 feet tall.
Recreational maths with 242142539584000
- 242142539584000 backwards is 000485935241242
- The number of decimal digits it has is: 15
- The sum of 242142539584000's digits is 49
- More coming soon!
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The information we have on file for 242142539584000 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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