242138075309977600
242,138,075,309,977,600 is an even composite number composed of six prime numbers multiplied together.
242138075309977600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred six divisors.
Prime factorization of 242138075309977600:
212 × 52 × 132 × 792 × 1272 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 79 × 79 × 127 × 127 × 139)See below for interesting mathematical facts about the number 242138075309977600 from the Numbermatics database.
Names of 242138075309977600
- Cardinal: 242138075309977600 can be written as Two hundred forty-two quadrillion, one hundred thirty-eight trillion, seventy-five billion, three hundred nine million, nine hundred seventy-seven thousand, six hundred.
Scientific notation
- Scientific notation: 2.421380753099776 × 1017
Factors of 242138075309977600
Divisors of 242138075309977600
- Number of divisors d(n): 2106
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 79 80 100 104 127 128 130 139 158 160 169 200 208 254 256 260 278 316 320 325 338 395 400 416 508 512 520 556 632 635 640 650 676 695 790 800 832 845 1016 1024 1027 1040 1112 1264 1270 1280 1300 1352 1390 1580 1600 1651 1664 1690 1807 1975 2032 2048 2054 2080 2224 2528 2540 2560 2600 2704 2780 3160 3175 3200 3302 3328 3380 3475 3614 3950 4064 4096 4108 4160 4225 4448 5056 5080 5120 5135 5200 5408 5560 6241 6320 6350 6400 6604 6656 6760 6950 7228 7900 8128 8216 8255 8320 8450 8896 9035 10033 10112 10160 10240 10270 10400 10816 10981 11120 12482 12640 12700 12800 13208 13312 13351 13520 13900 14456 15800 16129 16256 16432 16510 16640 16900 17653 17792 18070 20066 20224 20320 20480 20540 20800 21463 21632 21962 22240 23491 24964 25280 25400 25600 25675 26416 26624 26702 27040 27800 28912 31205 31600 32258 32512 32864 33020 33280 33800 35306 35584 36140 40132 40448 40640 41080 41275 41600 42926 43264 43924 44480 45175 46982 49928 50165 50560 50800 51200 51350 52832 53248 53404 54080 54905 55600 57824 62410 63200 64516 65024 65728 66040 66560 66755 67600 70612 71168 72280 80264 80645 80896 81133 81280 82160 82550 83200 85852 86528 87848 88265 88960 90350 93964 99856 100330 101120 101600 102400 102700 105664 106808 107315 108160 109810 111200 115648 117455 124820 126400 129032 130048 130429 131456 132080 133120 133510 135200 141224 142336 142753 144560 156025 160528 161290 161792 162266 162560 164320 165100 166400 171704 173056 175696 176530 177920 180700 187928 199712 200660 202240 203200 205400 209677 211328 213616 214630 216320 219620 222400 229489 231296 234910 249640 250825 252800 258064 260096 260858 262912 264160 266240 267020 270400 274525 282448 284672 285506 289120 312050 321056 322580 323584 324532 325120 328640 330200 332800 333775 343408 346112 351392 353060 355840 361400 375856 399424 401320 403225 404480 405665 406400 410800 419354 422656 427232 429260 432640 439240 441325 444800 458978 462592 469820 499280 501650 505600 516128 520192 521716 525824 528320 534040 536575 540800 549050 564896 569344 571012 578240 587275 624100 642112 645160 649064 650240 652145 657280 660400 665600 667550 686816 692224 702784 706120 711680 713765 722800 751712 792607 798848 802640 806450 808960 811330 812800 821600 838708 845312 854464 858520 865280 867499 878480 882650 889600 917956 925184 939640 998560 1003300 1011200 1032256 1043432 1048385 1051648 1054729 1056640 1068080 1073150 1081600 1098100 1129792 1142024 1147445 1156480 1174550 1248200 1274191 1284224 1290320 1298128 1300480 1304290 1314560 1320800 1331200 1335100 1373632 1394587 1405568 1412240 1423360 1427530 1445600 1503424 1585214 1597696 1605280 1612900 1617920 1622660 1625600 1643200 1677416 1690624 1695577 1708928 1717040 1730560 1734998 1756960 1765300 1779200 1835912 1850368 1855789 1879280 1997120 2006600 2022400 2028325 2064512 2086864 2096770 2103296 2109458 2113280 2136160 2146300 2163200 2196200 2241931 2259584 2284048 2294890 2312960 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2820412748800 2910313405168 2933229258752 2947152815360 2979060965920 2984458547200 2993202078100 3002518138880 3016770598400 3350001041920 3402344808200 3429134924800 3581924190976 3627265003520 3637891756460 3666536573440 3683941019200 3723826207400 3753147673600 3831298659968 3879796111360 4187501302400 4355001354496 4410127953920 4477405238720 4534081254400 4547364695575 4583170716800 4715444504576 4729259283398 4766497545472 4789123324960 4826832957440 4849745139200 5153847756800 5360001667072 5443751693120 5512659942400 5596756548400 5640825497600 5820626810336 5866458517504 5894305630720 5958121931840 5986404156200 6033541196800 6700002083840 6804689616400 6858269849600 7163848381952 7275783512920 7333073146880 7367882038400 7447652414800 7506295347200 7662597319936 7759592222720 8375002604800 8710002708992 8954810477440 9068162508800 9094729391150 9166341433600 9430889009152 9458518566796 9532995090944 9578246649920 9699490278400 10307695513600 10887503386240 11025319884800 11193513096800 11281650995200 11641253620672 11788611261440 11823148208495 11916243863680 11972808312400 12067082393600 13400004167680 13609379232800 13716539699200 14327696763904 14551567025840 14666146293760 14735764076800 14895304829600 15012590694400 15325194639872 16750005209600 17420005417984 17909620954880 18136325017600 18189458782300 18332682867200 18917037133592 19065990181888 19156493299840 19398980556800 21775006772480 22050639769600 22387026193600 23282507241344 23577222522880 23646296416990 23832487727360 23945616624800 24134164787200 26800008335360 27218758465600 28655393527808 29103134051680 29332292587520 29471528153600 29790609659200 30650389279744 33500010419200 34840010835968 35819241909760 36378917564600 36665365734400 37834074267184 38131980363776 38312986599680 38797961113600 43550013544960 44774052387200 46565014482688 47154445045760 47292592833980 47664975454720 47891233249600 54437516931200 57310787055616 58206268103360 58943056307200 59115741042475 59581219318400 61300778559488 67000020838400 69680021671936 71638483819520 72757835129200 73330731468800 75668148534368 76263960727552 76625973199360 87100027089920 89548104774400 93130028965376 94585185667960 95329950909440 95782466499200 108875033862400 116412536206720 117886112614400 118231482084950 119162438636800 122601557118976 134000041676800 143276967639040 145515670258400 146661462937600 151336297068736 153251946398720 174200054179840 179096209548800 186260057930752 189170371335920 190659901818880 191564932998400 217750067724800 232825072413440 235772225228800 236462964169900 238324877273600 286553935278080 291031340516800 302672594137472 306503892797440 348400108359680 358192419097600 372520115861504 378340742671840 381319803637760 383129865996800 435500135449600 465650144826880 472925928339800 476649754547200 582062681033600 605345188274944 613007785594880 716384838195200 745040231723008 756681485343680 766259731993600 871000270899200 931300289653760 945851856679600 953299509094400 1164125362067200 1210690376549888 1432769676390400 1513362970687360 1532519463987200 1742000541798400 1862600579307520 1891703713359200 1906599018188800 2328250724134400 2421380753099776 3026725941374720 3065038927974400 3725201158615040 3783407426718400 4656501448268800 4842761506199552 6053451882749440 7566814853436800 9313002896537600 9685523012399104 12106903765498880 15133629706873600 18626005793075200 24213807530997760 30267259413747200 48427615061995520 60534518827494400 121069037654988800 242138075309977600
- Sum of all divisors σ(n): 668503893826841940
- Sum of proper divisors (its aliquot sum) s(n): 426365818516864340
- 242138075309977600 is an abundant number, because the sum of its proper divisors (426365818516864340) is greater than itself. Its abundance is 184227743206886740
Bases of 242138075309977600
- Binary: 11010111000011111101001011111011010111001010110000000000002
- Hexadecimal: 0x35C3F4BED72B000
- Base-36: 1U86S85NQ0HS
Squares and roots of 242138075309977600
- 242138075309977600 squared (2421380753099776002) is 58630847514820383810326112501760000
- 242138075309977600 cubed (2421380753099776003) is 14196760571031391105203517008013344082625560576000000
-
The
square root of 242138075309977600 is 492075274.0282502753 -
The
cube root of 242138075309977600 is 623286.4639620131
Scales and comparisons
How big is 242138075309977600?- 242,138,075,309,977,600 seconds is equal to 7,699,241,812 years, 31 weeks, 6 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 242,138,075,309,977,600 would take you about twenty-three billion, ninety-seven million, seven hundred twenty-five thousand, four hundred thirty-seven 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 242138075309977600 cubic inches would be around 51940.5 feet tall.
Recreational maths with 242138075309977600
- 242138075309977600 backwards is 006779903570831242
- The number of decimal digits it has is: 18
- The sum of 242138075309977600's digits is 73
- More coming soon!
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"Number 242138075309977600 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
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Numbermatics. (2024). Number 242138075309977600 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/242138075309977600/
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The information we have on file for 242138075309977600 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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