242708704363008
242,708,704,363,008 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242708704363008 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1600 divisors.
242708704363008 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred divisors.
Prime factorization of 242708704363008:
29 × 34 × 13 × 31 × 73 × 331 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 31 × 73 × 331 × 601)See below for interesting mathematical facts about the number 242708704363008 from the Numbermatics database.
Names of 242708704363008
- Cardinal: 242708704363008 can be written as Two hundred forty-two trillion, seven hundred eight billion, seven hundred four million, three hundred sixty-three thousand and eight.
Scientific notation
- Scientific notation: 2.42708704363008 × 1014
Factors of 242708704363008
Divisors of 242708704363008
- Number of divisors d(n): 1600
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 64 72 73 78 81 93 96 104 108 117 124 128 144 146 156 162 186 192 208 216 219 234 248 256 279 288 292 312 324 331 351 372 384 403 416 432 438 468 496 512 558 576 584 601 624 648 657 662 702 744 768 806 832 837 864 876 936 949 992 993 1053 1116 1152 1168 1202 1209 1248 1296 1314 1324 1404 1488 1536 1612 1664 1674 1728 1752 1803 1872 1898 1971 1984 1986 2106 2232 2263 2304 2336 2404 2418 2496 2511 2592 2628 2648 2808 2847 2976 2979 3224 3328 3348 3456 3504 3606 3627 3744 3796 3942 3968 3972 4212 4303 4464 4526 4608 4672 4808 4836 4992 5022 5184 5256 5296 5409 5616 5694 5913 5952 5958 6448 6656 6696 6789 6912 7008 7212 7254 7488 7592 7813 7884 7936 7944 8424 8541 8606 8928 8937 9052 9344 9616 9672 9984 10044 10261 10368 10512 10592 10818 10881 11232 11388 11826 11904 11916 12896 12909 13392 13578 13824 14016 14424 14508 14976 15184 15626 15768 15872 15888 16227 16848 17082 17212 17856 17874 18104 18631 18688 19232 19344 19968 20088 20367 20522 20736 21024 21184 21636 21762 22464 22776 23439 23652 23808 23832 24163 25623 25792 25818 26784 26811 27156 28032 28848 29016 29419 29952 30368 30783 31252 31536 31776 32454 32643 33696 34164 34424 35712 35748 36208 37262 37376 38464 38688 38727 40176 40734 41044 41472 42048 42368 43272 43524 43873 44928 45552 46878 47304 47616 47664 48326 48681 51246 51584 51636 53568 53622 54312 55893 56064 57696 58032 58838 59904 60736 61101 61566 62504 63072 63552 64908 65286 67392 68328 68848 70317 71424 71496 72416 72489 74524 76869 76928 77376 77454 80352 81468 82088 84096 84736 86544 87048 87746 88257 89856 91104 92349 93756 94608 95328 96652 97362 102492 103168 103272 107136 107244 108624 111786 112128 115392 116064 116181 117676 121472 122202 123132 125008 126144 127104 129816 130572 131619 133393 134784 136656 137696 140634 142848 142992 144832 144978 149048 153738 153856 154752 154908 160704 162936 164176 167679 168192 169472 173088 174096 175492 176514 179712 182208 183303 184698 187512 189216 190656 193304 194724 198931 204984 206336 206544 210951 214272 214488 217248 217467 223572 230784 232128 232362 235352 242203 242944 244404 246264 250016 252288 254208 259632 261144 263238 264771 266786 269568 273312 275392 277047 281268 285984 289664 289956 298096 307476 307712 309504 309816 314119 321408 325872 328352 335358 336384 346176 348192 348543 350984 353028 364416 366606 369396 375024 378432 381312 386608 389448 394857 397862 400179 409968 413088 421902 428544 428976 434496 434934 447144 461568 464256 464724 470704 484406 485888 488808 492528 500032 503037 504576 508416 519264 522288 526476 529542 533572 539136 546624 550784 554094 562536 570349 571968 579328 579912 596192 596793 614952 619008 619632 628238 632853 642816 651744 652401 656704 670716 692352 696384 697086 701968 706056 726609 728832 733212 738792 749053 750048 756864 762624 773216 778896 789714 794313 795724 800358 819936 826176 831141 843804 857952 868992 869868 894288 923136 928512 929448 941408 942357 968812 977616 985056 1000064 1006074 1009152 1038528 1044576 1052952 1059084 1067144 1093248 1101568 1108188 1125072 1140698 1143936 1158656 1159824 1184571 1192384 1193586 1200537 1229904 1239264 1256476 1265706 1285632 1303488 1304802 1313408 1341432 1360063 1384704 1392768 1394172 1403936 1412112 1453218 1457664 1466424 1477584 1498106 1500096 1509111 1513728 1525248 1546432 1557792 1579428 1588626 1591448 1600716 1639872 1652352 1662282 1687608 1711047 1715904 1737984 1739736 1788576 1790379 1857024 1858896 1882816 1884714 1937624 1955232 1957203 1970112 2000128 2012148 2077056 2089152 2105904 2118168 2134288 2179827 2186496 2203136 2216376 2247159 2250144 2281396 2287872 2319648 2369142 2382939 2384768 2387172 2401074 2459808 2478528 2512952 2531412 2586103 2606976 2609604 2626816 2682864 2720126 2769408 2785536 2788344 2807872 2824224 2827071 2906436 2932848 2955168 2996212 3000192 3018222 3027456 3092864 3115584 3158856 3177252 3182896 3201432 3279744 3304704 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45828682848 46177455168 46818808712 48329092864 48619532124 50187904128 50480179776 51949637064 52671159801 53625431808 54370229472 56404532736 57623149184 61104910464 61166508156 61569940224 63938014848 64826042832 66917205504 67306906368 69266182752 70228213068 72493639296 72929298186 75281856192 81473213952 81555344208 85250686464 86434723776 91657365696 92354910336 93637617424 96658185728 97239064248 100375808256 100960359552 103899274128 105342319602 107250863616 108740458944 115246298368 122209820928 122333016312 123139880448 127876029696 129652085664 134613812736 138532365504 140456426136 144987278592 145858596372 150563712384 158013479403 163110688416 172869447552 183314731392 184709820672 187275234848 194478128496 200751616512 201920719104 207798548256 210684639204 217480917888 230492596736 244419641856 244666032624 255752059392 259304171328 277064731008 280912852272 289974557184 291717192744 301127424768 316026958806 326221376832 345738895104 366629462784 369419641344 374550469696 388956256992 403841438208 415597096512 421369278408 434961835776 474040438209 489332065248 518608342656 554129462016 561825704544 583434385488 602254849536 632053917612 652442753664 691477790208 733258925568 749100939392 777912513984 831194193024 842738556816 869923671552 948080876418 978664130496 1037216685312 1108258924032 1123651409088 1166868770976 1264107835224 1304885507328 1498201878784 1555825027968 1662388386048 1685477113632 1896161752836 1957328260992 2074433370624 2247302818176 2333737541952 2528215670448 2609771014656 2996403757568 3111650055936 3324776772096 3370954227264 3792323505672 3914656521984 4494605636352 4667475083904 5056431340896 6223300111872 6741908454528 7584647011344 7829313043968 8989211272704 9334950167808 10112862681792 13483816909056 15169294022688 18669900335616 20225725363584 26967633818112 30338588045376 40451450727168 60677176090752 80902901454336 121354352181504 242708704363008
- Sum of all divisors σ(n): 820172706253824
- Sum of proper divisors (its aliquot sum) s(n): 577464001890816
- 242708704363008 is an abundant number, because the sum of its proper divisors (577464001890816) is greater than itself. Its abundance is 334755297527808
Bases of 242708704363008
- Binary: 1101110010111110000001100001101110000010000000002
- Hexadecimal: 0xDCBE061B8200
- Base-36: 2E16U80W00
Squares and roots of 242708704363008
- 242708704363008 squared (2427087043630082) is 58907515173570018575038808064
- 242708704363008 cubed (2427087043630083) is 14297366685021413529730901157805876693696512
-
The
square root of 242708704363008 is 15579111.1544596151 -
The
cube root of 242708704363008 is 62377.5697689907
Scales and comparisons
How big is 242708704363008?- 242,708,704,363,008 seconds is equal to 7,717,386 years, 2 weeks, 4 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 242,708,704,363,008 would take you about nineteen million, two hundred ninety-three thousand, four hundred sixty-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 242708704363008 cubic inches would be around 5198.1 feet tall.
Recreational maths with 242708704363008
- 242708704363008 backwards is 800363407807242
- 242708704363008 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242708704363008's digits is 54
- More coming soon!
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"Number 242708704363008 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 242708704363008 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/242708704363008/
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The information we have on file for 242708704363008 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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