42200424657334125
42,200,424,657,334,125 is an odd composite number composed of five prime numbers multiplied together.
What does the number 42200424657334125 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1792 divisors.
42200424657334125 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 42200424657334125:
313 × 53 × 73 × 133 × 281
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 281)See below for interesting mathematical facts about the number 42200424657334125 from the Numbermatics database.
Names of 42200424657334125
- Cardinal: 42200424657334125 can be written as Forty-two quadrillion, two hundred trillion, four hundred twenty-four billion, six hundred fifty-seven million, three hundred thirty-four thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 4.2200424657334125 × 1016
Factors of 42200424657334125
Divisors of 42200424657334125
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 81 91 105 117 125 135 147 169 175 189 195 225 243 245 273 281 315 325 343 351 375 405 441 455 507 525 567 585 637 675 729 735 819 843 845 875 945 975 1029 1053 1125 1183 1215 1225 1323 1365 1405 1521 1575 1625 1701 1715 1755 1911 1967 2025 2187 2197 2205 2275 2457 2529 2535 2625 2835 2925 3087 3159 3185 3375 3549 3645 3653 3675 3969 4095 4215 4225 4459 4563 4725 4875 5103 5145 5265 5733 5901 5915 6075 6125 6561 6591 6615 6825 7025 7371 7587 7605 7875 8281 8505 8575 8775 9261 9477 9555 9835 10125 10647 10935 10959 10985 11025 11375 11907 12285 12645 12675 13377 13689 13769 14175 14625 15309 15379 15435 15795 15925 17199 17703 17745 18225 18265 18375 19683 19773 19845 20475 21075 21125 22113 22295 22761 22815 23625 24843 25515 25571 25725 26325 27783 28431 28665 29505 29575 30375 31941 32805 32877 32955 33075 34125 35125 35721 36855 37935 38025 40131 41067 41307 41405 42525 42875 43875 45927 46137 46305 47385 47489 47775 49175 51597 53109 53235 54675 54795 54925 55125 57967 59049 59319 59535 61425 63225 63375 66339 66885 68283 68445 68845 70875 74529 76545 76713 76895 77175 78975 79625 83349 85293 85995 88515 88725 91125 91325 95823 96383 98415 98631 98865 99225 102375 105375 107163 107653 110565 111475 113805 114075 120393 123201 123921 124215 127575 127855 128625 131625 137781 138411 138915 142155 142467 143325 147525 147875 154791 159327 159705 164025 164385 164775 165375 173901 177147 177957 178605 178997 184275 189675 190125 199017 200655 204849 205335 206535 207025 212625 223587 229635 230139 230685 231525 236925 237445 238875 245875 250047 255879 257985 265545 266175 273375 273975 274625 287469 289149 289835 295245 295893 296595 297675 307125 316125 321489 322959 331695 332423 334425 341415 342225 344225 361179 369603 371763 372645 382725 383565 384475 385875 394875 413343 415233 416745 426465 427401 429975 442575 443625 456625 464373 477981 479115 481915 492075 493155 494325 496125 521703 531441 533871 535815 536991 538265 552825 557375 569025 570375 597051 601965 614547 616005 617357 619605 621075 637875 639275 670761 688905 690417 692055 694575 710775 712335 716625 737625 750141 753571 767637 773955 796635 798525 820125 821925 823875 862407 867447 869505 885735 887679 889785 893025 894985 921375 948375 964467 968877 995085 997269 1003275 1024245 1026675 1032675 1035125 1083537 1108809 1115289 1117935 1148175 1150695 1153425 1157625 1184625 1187225 1240029 1245699 1250235 1252979 1279395 1282203 1289925 1327725 1330875 1369875 1393119 1433943 1437345 1445745 1449175 1476225 1479465 1482975 1488375 1565109 1594323 1601613 1607445 1610973 1614795 1658475 1662115 1672125 1707075 1711125 1721125 1791153 1805895 1843641 1848015 1852071 1858815 1863225 1913625 1917825 1922375 2012283 2066715 2071251 2076165 2083725 2132325 2137005 2149875 2212875 2250423 2260713 2302911 2321865 2326961 2389905 2395575 2409575 2460375 2465775 2471625 2587221 2602341 2608515 2657205 2663037 2669355 2679075 2684955 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34031804625 35545431285 35623445949 36454313493 36587055645 36673857675 36754348995 37748549475 37838107125 38059237125 38946916125 40768433433 40865155695 41103976095 41201494425 42062669415 42315989625 42408864225 43556018625 43755177375 44497613979 45801573363 47152102725 47255591565 47427664725 47540185875 47644526475 48533849325 48648994875 48933304875 51221877903 51343400745 51456088593 52847969265 52973349975 54525682575 54974453625 56000595375 56256656625 57211217973 58887737181 59242385475 59372409915 60757189155 60978426075 61123096125 61257248325 62914249125 66012943815 66157828191 67947389055 68108592825 68356598625 68506626825 68669157375 70104449025 70681440375 73987156971 74162689965 75712804947 76335955605 78400833525 78586837875 78759319275 79046107875 79407544125 80889748875 85060064817 85369796505 85572334575 85760147655 87568190775 88079948775 88288916625 90876137625 92418121341 95126344677 95352029955 98146228635 98737309125 98954016525 101261981925 101630710125 102095413875 106870337847 109362940479 109761166935 110021573025 110263046985 113245648425 113514321375 114177711375 116840748375 122595467085 123311928285 123604483275 126188008245 126947968875 127226592675 130668055875 131265532125 133492841937 137404720089 141766774695 142282994175 142620557625 142933579425 145601547975 145946984625 146799914625 153665633709 154030202235 154368265779 158543907795 158920049925 163577047725 164923360875 168769969875 171633653919 176663211543 177727156425 178117229745 182271567465 182935278225 183369288375 183771744975 188742747375 198473484573 203842167165 204325778475 205519880475 206007472125 210313347075 212044321125 221961470913 222488069895 229007866815 235760513625 236277957825 237138323625 238222632375 242669246625 255180194451 256109389515 256717003725 257280442965 264239846325 264866749875 272628412875 285379034031 286056089865 294438685905 296211927375 296862049575 303785945775 304892130375 306286241625 320611013541 328088821437 330064719075 330789140955 339736945275 340542964125 342533134125 350522245125 369935784855 370813449825 378564024735 381679778025 392004167625 393796596375 400478525811 412214160267 425300324085 426848982525 427861672875 428800738275 437840953875 440399743875 462090606705 463104797337 475631723385 476760149775 490731143175 494770082625 506309909625 529989634629 534351689235 546814702395 548805834675 550107865125 551315234925 566228242125 595420453719 612977335425 616559641425 618022416375 630940041225 636132963375 665884412739 667464209685 687023600445 708833873475 711414970875 714667897125 728007739875 765540583353 768328168545 770151011175 771841328895 792719538975 794600249625 817885238625 858168269595 883316057715 888635782125 890586148725 911357837325 914676391125 918858724875 961833040623 984266464311 992367422865 1019210835825 1021628892375 1027599402375 1051566735375 1109807354565 1112440349475 1145039334075 1181389789125 1201435577433 1236642480801 1275900972255 1280546947575 1283585018625 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7151402246625 7360967147625 8015275338525 8202220535925 8269728523875 8656497365607 8931306805785 9248394621375 9464100618375 9988266191085 10011963145275 10305354006675 10632508102125 11483108750295 11552265167625 11577619933425 11890793084625 12503829528099 13249740865725 13358792230875 13670367559875 14427495609345 14885511342975 16076352250413 16647110318475 16686605242125 17175590011125 18549637212015 19138514583825 19208204213625 19296033222375 20839715880165 21454206739875 22082901442875 24045826015575 24606661607775 24809185571625 25969492096821 26793920417355 27745183864125 30035889435825 30916062020025 31897524306375 34449326250885 34732859800275 35672379253875 37511488584297 40076376692625 41011102679625 43282486828035 44656534028925 48229056751239 49941330955425 50059815726375 51526770033375 57415543751475 57888099667125 62519147640495 66248704328625 72137478046725 74427556714875 80381761252065 83235551592375 92748186060075 95692572919125 104198579400825 112534465752891 120229130077875 123033308038875 129847460484105 133969602086775 150179447179125 154580310100125 172246631254425 173664299001375 187557442921485 216412434140175 223282670144625 241145283756195 249706654777125 287077718757375 312595738202475 337603397258673 360687390233625 401908806260325 463740930300375 520992897004125 562672328764455 649237302420525 669848010433875 861233156272125 937787214607425 1082062170700875 1205726418780975 1562978691012375 1688016986293365 2009544031301625 2813361643822275 3246186512102625 4688936073037125 6028632093904875 8440084931466825 14066808219111375 42200424657334125
- Sum of all divisors σ(n): 100156268249856000
- Sum of proper divisors (its aliquot sum) s(n): 57955843592521875
- 42200424657334125 is an abundant number, because the sum of its proper divisors (57955843592521875) is greater than itself. Its abundance is 15755418935187750
Bases of 42200424657334125
- Binary: 100101011110110100010000000010010001001000101111011011012
- Hexadecimal: 0x95ED1009122F6D
- Base-36: BJISVGAATT9
Squares and roots of 42200424657334125
- 42200424657334125 squared (422004246573341252) is 1780875841259334001426151889515625
- 42200424657334125 cubed (422004246573341253) is 75153716763131051665643428336168834036850033203125
-
The
square root of 42200424657334125 is 205427419.4389203853 -
The
cube root of 42200424657334125 is 348154.7090808889
Scales and comparisons
How big is 42200424657334125?- 42,200,424,657,334,125 seconds is equal to 1,341,842,969 years, 32 weeks, 1 day, 8 hours, 48 minutes, 45 seconds.
-
To count from 1 to 42,200,424,657,334,125 would take you about four billion, twenty-five million, five hundred twenty-eight thousand, nine hundred eight 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 42200424657334125 cubic inches would be around 29012.9 feet tall.
Recreational maths with 42200424657334125
- 42200424657334125 backwards is 52143375642400224
- The number of decimal digits it has is: 17
- The sum of 42200424657334125's digits is 54
- More coming soon!
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Cite this page
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"Number 42200424657334125 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 42200424657334125 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/42200424657334125/
Chicago style:
Numbermatics. 2024. "Number 42200424657334125 - Facts about the integer". https://numbermatics.com/n/42200424657334125/
The information we have on file for 42200424657334125 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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