242206252142400
242,206,252,142,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 242206252142400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3024 divisors.
242206252142400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 242206252142400:
26 × 33 × 52 × 73 × 132 × 3112
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 311 × 311)See below for interesting mathematical facts about the number 242206252142400 from the Numbermatics database.
Names of 242206252142400
- Cardinal: 242206252142400 can be written as Two hundred forty-two trillion, two hundred six billion, two hundred fifty-two million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.422062521424 × 1014
Factors of 242206252142400
Divisors of 242206252142400
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 108 112 117 120 126 130 135 140 144 147 150 156 160 168 169 175 180 182 189 192 195 196 200 208 210 216 224 225 234 240 245 252 260 270 273 280 288 294 300 311 312 315 320 325 336 338 343 350 351 360 364 378 390 392 400 416 420 432 441 448 450 455 468 480 490 504 507 520 525 540 546 560 576 585 588 600 622 624 630 637 650 672 675 676 686 700 702 720 728 735 756 780 784 800 819 832 840 845 864 882 900 910 933 936 945 960 975 980 1008 1014 1029 1040 1050 1080 1092 1120 1170 1176 1183 1200 1225 1244 1248 1260 1274 1300 1323 1344 1350 1352 1365 1372 1400 1404 1440 1456 1470 1512 1521 1555 1560 1568 1575 1600 1638 1680 1690 1715 1728 1755 1764 1800 1820 1866 1872 1890 1911 1950 1960 2016 2028 2058 2080 2100 2160 2177 2184 2205 2240 2275 2340 2352 2366 2400 2450 2457 2488 2496 2520 2535 2548 2600 2646 2700 2704 2730 2744 2799 2800 2808 2880 2912 2925 2940 3024 3042 3087 3110 3120 3136 3150 3185 3276 3360 3380 3430 3510 3528 3549 3600 3640 3675 3732 3744 3780 3822 3900 3920 4032 4043 4056 4095 4116 4160 4200 4225 4320 4354 4368 4410 4459 4550 4563 4665 4680 4704 4725 4732 4800 4900 4914 4976 5040 5070 5096 5145 5200 5292 5400 5408 5460 5488 5598 5600 5616 5733 5824 5850 5880 5915 6048 6084 6174 6220 6240 6300 6370 6531 6552 6615 6720 6760 6825 6860 7020 7056 7098 7200 7280 7350 7464 7488 7560 7605 7644 7775 7800 7840 8086 8112 8190 8232 8281 8397 8400 8450 8575 8640 8708 8736 8775 8820 8918 9100 9126 9261 9330 9360 9408 9450 9464 9555 9800 9828 9952 10080 10140 10192 10290 10400 10584 10647 10800 10816 10885 10920 10976 11025 11196 11200 11232 11466 11700 11760 11830 12096 12129 12168 12285 12348 12440 12480 12600 12675 12740 13062 13104 13230 13377 13520 13650 13720 13995 14040 14112 14196 14400 14560 14700 14928 15120 15210 15239 15288 15435 15550 15600 15680 15925 16172 16224 16380 16464 16562 16794 16800 16900 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16018932020 16224963300 16476615792 16635044790 16819878621 17061584400 17163141450 17251157560 17306627520 17653516920 17744047776 17914663620 18106171200 18307350880 18483383100 18542815200 19011479760 19108974528 19222718424 19407552255 19469955960 19615018800 19715608640 19905181800 19969185600 20023665025 20473901280 20595769740 20701389072 21123866400 21563946950 21625558227 21633284400 21968821056 22066896150 22180059720 22251378240 22393329525 22426504828 22748779200 22884188600 23289062706 23538022560 23764349700 23886218160 24028398030 24337444950 24644510800 24714923688 25348639680 25592376600 25630291232 25744712175 25876736340 25959941280 26153358400 26540242400 26616071664 27159256800 27461026320 27601852096 27725074650 27814222800 28033131035 28245627072 28663461792 28834077636 28844379200 29248430400 29422528200 29573412960 29857772700 29953778400 30893654610 31052083608 31151929536 31685799600 31848290880 32037864040 32345920425 32449926600 32953231584 33270089580 33639757242 34123168800 34326282900 34502315120 35307033840 35488095552 35829327240 36042597045 36614701760 36966766200 37085630400 38022959520 38445436848 38815104510 38939911920 39230037600 39810363600 40047330050 40947802560 41191539480 41402778144 41587611975 42247732800 43127893900 43251116454 43266568800 44133792300 44360119440 44786659050 44853009656 45768377200 46578125412 47076045120 47528699400 47772436320 48056796060 48674889900 49289021600 49429847376 50459635863 51184753200 51260582464 51489424350 51753472680 51919882560 53080484800 53232143328 54318513600 54922052640 55450149300 55628445600 56066262070 57326923584 57668155272 58222656765 58845056400 59146825920 59715545400 59907556800 60070995075 61787309220 62104167216 63371599200 64075728080 64691840850 64899853200 65906463168 66540179160 67279514484 68246337600 68652565800 69004630240 70614067680 71658654480 72085194090 73933532400 76045919040 76890873696 77234136525 77630209020 77879823840 78460075200 79620727200 80094660100 82383078960 82805556288 83175223950 84099393105 86255787800 86502232908 86533137600 88267584600 88720238880 89573318100 89706019312 91536754400 93156250824 95057398800 95544872640 96113592120 97037761275 97349779800 98578043200 98859694752 100919271726 102369506400 102978848700 103506945360 106464286656 108127791135 109844105280 110900298600 111256891200 112132524140 115336310544 116445313530 117690112800 119431090800 120141990150 123574618440 124208334432 126743198400 128151456160 129383681700 129799706400 133080358320 134559028968 137305131600 138009260480 140165655175 141228135360 143317308960 144170388180 147867064800 151378907589 153781747392 154468273050 155260418040 155759647680 159241454400 160189320200 164766157920 166350447900 168198786210 172511575600 173004465816 176535169200 177440477760 179146636200 179412038624 180212985225 183073508800 186312501648 190114797600 192227184240 194075522550 194699559600 197719389504 201838543452 204739012800 205957697400 207013890720 216255582270 221800597200 224265048280 230672621088 232890627060 235380225600 238862181600 240283980300 247149236880 248416668864 252298179315 256302912320 258767363400 259599412800 266160716640 269118057936 274610263200 280331310350 286634617920 288340776360 291113283825 295734129600 302757815178 308936546100 310520836080 320378640400 329532315840 332700895800 336397572420 345023151200 346008931632 353070338400 358293272400 358824077248 360425970450 372625003296 380229595200 384454368480 388151045100 389399119200 403677086904 411915394800 414027781440 420496965525 432511164540 443601194400 448530096560 461345242176 465781254120 477724363200 480567960600 494298473760 504596358630 517534726800 532321433280 538236115872 540638955675 549220526400 560662620700 576681552720 582226567650 605515630356 617873092200 621041672160 640757280800 665401791600 672795144840 690046302400 692017863264 706140676800 716586544800 720851940900 745250006592 756894537945 768908736960 776302090200 778798238400 807354173808 823830789600 840993931050 865022329080 887202388800 897060193120 931562508240 961135921200 988596947520 1009192717260 1035069453600 1076472231744 1081277911350 1121325241400 1153363105440 1164453135300 1211031260712 1235746184400 1242083344320 1261490896575 1281514561600 1330803583200 1345590289680 1384035726528 1433173089600 1441703881800 1513789075890 1552604180400 1614708347616 1647661579200 1681987862100 1730044658160 1794120386240 1863125016480 1922271842400 2018385434520 2070138907200 2162555822700 2242650482800 2306726210880 2328906270600 2422062521424 2471492368800 2522981793150 2661607166400 2691180579360 2883407763600 3027578151780 3105208360800 3229416695232 3363975724200 3460089316320 3726250032960 3784472689725 3844543684800 4036770869040 4325111645400 4485300965600 4657812541200 4844125042848 4942984737600 5045963586300 5382361158720 5766815527200 6055156303560 6210416721600 6727951448400 6920178632640 7568945379450 8073541738080 8650223290800 8970601931200 9315625082400 9688250085696 10091927172600 11533631054400 12110312607120 13455902896800 15137890758900 16147083476160 17300446581600 18631250164800 20183854345200 24220625214240 26911805793600 30275781517800 34600893163200 40367708690400 48441250428480 60551563035600 80735417380800 121103126071200 242206252142400
- Sum of all divisors σ(n): 1118551400688000
- Sum of proper divisors (its aliquot sum) s(n): 876345148545600
- 242206252142400 is an abundant number, because the sum of its proper divisors (876345148545600) is greater than itself. Its abundance is 634138896403200
Bases of 242206252142400
- Binary: 1101110001001001000010011001111100001111010000002
- Hexadecimal: 0xDC49099F0F40
- Base-36: 2DUS0KY1C0
Squares and roots of 242206252142400
- 242206252142400 squared (2422062521424002) is 58663868576867844589877760000
- 242206252142400 cubed (2422062521424003) is 14208755744177469422778750457354113024000000
-
The
square root of 242206252142400 is 15562976.9691534273 -
The
cube root of 242206252142400 is 62334.4956358927
Scales and comparisons
How big is 242206252142400?- 242,206,252,142,400 seconds is equal to 7,701,409 years, 32 weeks, 3 days, 12 hours.
-
To count from 1 to 242,206,252,142,400 would take you about nineteen million, two hundred fifty-three thousand, five hundred twenty-four 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 242206252142400 cubic inches would be around 5194.5 feet tall.
Recreational maths with 242206252142400
- 242206252142400 backwards is 004241252602242
- 242206252142400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242206252142400's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 242206252142400 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
APA style:
Numbermatics. (2024). Number 242206252142400 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/242206252142400/
Chicago style:
Numbermatics. 2024. "Number 242206252142400 - Facts about the integer". https://numbermatics.com/n/242206252142400/
The information we have on file for 242206252142400 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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