442049856109103242
442,049,856,109,103,242 is an even composite number composed of six prime numbers multiplied together.
442049856109103242 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 442049856109103242:
2 × 76 × 113 × 13 × 192 × 673
(2 × 7 × 7 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 19 × 19 × 67 × 67 × 67)See below for interesting mathematical facts about the number 442049856109103242 from the Numbermatics database.
Names of 442049856109103242
- Cardinal: 442049856109103242 can be written as Four hundred forty-two quadrillion, forty-nine trillion, eight hundred fifty-six billion, one hundred nine million, one hundred three thousand, two hundred forty-two.
Scientific notation
- Scientific notation: 4.42049856109103242 × 1017
Factors of 442049856109103242
Divisors of 442049856109103242
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 7 11 13 14 19 22 26 38 49 67 77 91 98 121 133 134 143 154 182 209 242 247 266 286 343 361 418 469 494 539 637 686 722 737 847 871 931 938 1001 1078 1273 1274 1331 1463 1474 1573 1694 1729 1742 1862 2002 2299 2401 2527 2546 2662 2717 2926 3146 3283 3458 3773 3971 4459 4489 4598 4693 4802 5054 5159 5434 5929 6097 6517 6566 7007 7546 7942 8107 8911 8918 8978 9317 9386 9581 10241 10318 11011 11858 12103 12194 13034 14003 14014 16093 16214 16549 16807 17303 17689 17822 18634 19019 19162 20482 22022 22981 24187 24206 25289 26411 27797 28006 29887 31213 31423 32186 32851 33098 33614 34606 35378 36113 38038 41503 42679 43681 45619 45962 48374 49049 49379 50578 51623 52822 55594 56749 58357 59774 62377 62426 62846 65219 65702 67067 71687 72226 77077 83006 84721 85291 85358 87362 89177 91238 98021 98098 98758 103246 105391 112651 113498 115843 116714 117649 121121 123823 124754 130438 133133 134134 143374 154033 154154 160867 169309 169442 170582 177023 178354 182039 184877 194579 196042 209209 210782 218491 219961 225302 229957 231686 235298 242242 247646 252791 266057 266266 290521 298753 300763 305767 308066 314431 319333 321734 328757 338618 343343 345653 354046 361361 364078 369754 389158 397243 408499 418418 436639 436982 439922 456533 459914 469469 480491 501809 505582 532114 539539 543169 567853 581042 593047 597037 597506 601526 611534 624239 628862 638666 641927 657514 686147 686686 691306 722722 737737 788557 794486 810901 816998 847847 866761 873278 913066 931931 938201 938938 960982 1003618 1078231 1079078 1086338 1108783 1126069 1135706 1159301 1185163 1186094 1194074 1239161 1248478 1274273 1283854 1294139 1362053 1372294 1464463 1475474 1529437 1539727 1577114 1609699 1620529 1621802 1694363 1695694 1733522 1769537 1862399 1863862 1876402 2002429 2033647 2091271 2105341 2140369 2156462 2201017 2217566 2235331 2252138 2301299 2318602 2370326 2403401 2419571 2478322 2529527 2548546 2588278 2724106 2780701 2859493 2926627 2928926 3056473 3058874 3079454 3195731 3219398 3241058 3286283 3308393 3363437 3388726 3458741 3512663 3539074 3724798 3776773 3802183 3909919 3974971 4004858 4067294 4151329 4179259 4182542 4210682 4280738 4369673 4402034 4470662 4493489 4602598 4803029 4806802 4839142 5059054 5164159 5519899 5561402 5676307 5714497 5718986 5853254 5934929 5974859 6067327 6112946 6246383 6391462 6523517 6567407 6572566 6616786 6726874 6917482 7025326 7061197 7547617 7553546 7604366 7761481 7819838 7882483 7949942 8115107 8296141 8302658 8358518 8674127 8739346 8919911 8986978 9534371 9606058 10251241 10320211 10328318 10778089 11039798 11267893 11343703 11352614 11428994 11860541 11869858 11949718 12134654 12196613 12386759 12492766 13036793 13047034 13134814 14017003 14122394 14235529 14638897 14737387 14982583 15095234 15407119 15522962 15764966 16109093 16230214 16592282 16823807 16936997 17348254 17706689 17825819 17839822 19068742 19464907 20016451 20486389 20502482 20640422 21066877 21395311 21556178 22026719 22370117 22535786 22687406 23003981 23158751 23544059 23721082 24211187 24393226 24588641 24773518 26073586 26437411 26615281 27369433 27824797 28034006 28471058 29059303 29254813 29277794 29474774 29965166 30587711 30814238 31454423 32192897 32218186 33621203 33647614 33873994 35413378 35651638 36149113 36392323 38046151 38639293 38929814 39734149 40001479 40032902 40972778 41544503 41824013 42133754 42471289 42790622 43009109 43724681 44053438 44740234 45664619 45971849 46007962 46317502 47088118 48422374 49177282 49428379 52833319 52874822 53230562 54330367 54738866 55649594 56805749 58072987 58118606 58509626 60718889 61175422 62439377 62859467 62908846 64385794 66740597 67242406 71758687 72241477 72298226 72784646 74288461 75446623 76092302 77278586 77673167 78875251 79405921 79468298 80002958 83023787 83089006 83648026 84942578 85376291 86018218 86707313 87449362 91257551 91329238 91943698 98119021 98856758 102472279 103161709 104878081 105666638 107849833 108575443 108660734 112763651 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13355787543329 13456206998542 13734227804297 14067716516854 14162363634034 14790706866166 15784112551207 15902790089186 16737338840222 17479926296378 18261995212307 18276340848766 19235449114882 20073102175511 21582357978181 23069087574841 23242539361118 23722757116513 24803605437611 24990098711578 25547584587014 26301532463206 26711575086658 27263467133903 27468455608594 31543446275803 31568225102414 33915133965713 36251423331893 36523990424614 37278618325949 40146204351022 42842591210419 43164715956362 46138175149682 47096724494897 47445514233026 49237007808989 49568272719119 49607210875222 54526934267806 55659765312151 58580685940777 63086892551606 67324071902087 67830267931426 72502846663786 74557236651898 81348887763913 85685182420838 87465345490523 92055363621221 94193448989794 96139594630079 98474015617978 99136545438238 111319530624302 117161371881554 127833966486149 134648143804174 140511715228577 151076505847267 162697775527826 166059299815591 173625238063277 174930690981046 184110727242442 192279189260158 220804123930621 237405937759991 253759963323251 255667932972298 260950328281643 281023430457154 299898138472933 302153011694534 332118599631182 346977909033833 347250476126554 410064801585439 441608247861242 471268503314609 474811875519982 507519926646502 521900656563286 599796276945866 612257418433661 644387545348547 693955818067666 820129603170878 894837765403043 942537006629218 1057535540930869 1224514836867322 1288775090697094 1545628867514347 1661841564319937 1789675530806086 1826652297971501 2115071081861738 2428845363236831 2870453611098073 3091257735028694 3298879523202263 3323683128639874 3653304595943002 4510712817439829 4857690726473662 5740907222196146 6597759046404526 9021425634879658 11632890950239559 17001917542657817 20093175277686511 23265781900479118 31574989722078803 34003835085315634 40186350555373022 63149979444157606 221024928054551621 442049856109103242
- Sum of all divisors σ(n): 981759469385358720
- Sum of proper divisors (its aliquot sum) s(n): 539709613276255478
- 442049856109103242 is an abundant number, because the sum of its proper divisors (539709613276255478) is greater than itself. Its abundance is 97659757167152236
Bases of 442049856109103242
- Binary: 110001000100111101000000000100001100110010101001000100010102
- Hexadecimal: 0x6227A008665488A
- Base-36: 3CWLLGEYASGA
Squares and roots of 442049856109103242
- 442049856109103242 squared (4420498561091032422) is 195408075286078880842369821414910564
- 442049856109103242 cubed (4420498561091032423) is 86380111562767982607702021622841169548406553672448488
-
The
square root of 442049856109103242 is 664868299.8226816063 -
The
cube root of 442049856109103242 is 761769.7998436985
Scales and comparisons
How big is 442049856109103242?- 442,049,856,109,103,242 seconds is equal to 14,055,818,074 years, 14 weeks, 6 days, 13 hours, 7 minutes, 22 seconds.
-
To count from 1 to 442,049,856,109,103,242 would take you about forty-two billion, one hundred sixty-seven million, four hundred fifty-four thousand, two hundred twenty-two 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 442049856109103242 cubic inches would be around 63480.8 feet tall.
Recreational maths with 442049856109103242
- 442049856109103242 backwards is 242301901658940244
- The number of decimal digits it has is: 18
- The sum of 442049856109103242's digits is 64
- More coming soon!
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"Number 442049856109103242 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 442049856109103242 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/442049856109103242/
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Numbermatics. 2024. "Number 442049856109103242 - Facts about the integer". https://numbermatics.com/n/442049856109103242/
The information we have on file for 442049856109103242 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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