42207996721102254084261888
42,207,996,721,102,254,084,261,888 is an even composite number composed of five prime numbers multiplied together.
What does the number 42207996721102254084261888 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 432 divisors.
42207996721102254084261888 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 42207996721102254084261888:
211 × 32 × 312 × 32143 × 74133154823383
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 31 × 32143 × 74133154823383)See below for interesting mathematical facts about the number 42207996721102254084261888 from the Numbermatics database.
Names of 42207996721102254084261888
- Cardinal: 42207996721102254084261888 can be written as Forty-two septillion, two hundred seven sextillion, nine hundred ninety-six quintillion, seven hundred twenty-one quadrillion, one hundred two trillion, two hundred fifty-four billion, eighty-four million, two hundred sixty-one thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 4.2207996721102254084261888 × 1025
Factors of 42207996721102254084261888
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 74133154855562
Divisors of 42207996721102254084261888
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 961 992 1024 1116 1152 1488 1536 1922 1984 2048 2232 2304 2883 2976 3072 3844 3968 4464 4608 5766 5952 6144 7688 7936 8649 8928 9216 11532 11904 15376 15872 17298 17856 18432 23064 23808 30752 31744 32143 34596 35712 46128 47616 61504 63488 64286 69192 71424 92256 95232 96429 123008 128572 138384 142848 184512 190464 192858 246016 257144 276768 285696 289287 369024 385716 492032 514288 553536 571392 578574 738048 771432 984064 996433 1028576 1107072 1157148 1476096 1542864 1968128 1992866 2057152 2214144 2314296 2952192 2989299 3085728 3985732 4114304 4428288 4628592 5904384 5978598 6171456 7971464 8228608 8856576 8967897 9257184 11957196 12342912 15942928 16457216 17713152 17935794 18514368 23914392 24685824 30889423 31885856 32914432 35871588 37028736 47828784 49371648 61778846 63771712 65828864 71743176 74057472 92668269 95657568 98743296 123557692 127543424 143486352 148114944 185336538 191315136 197486592 247115384 255086848 278004807 286972704 296229888 370673076 382630272 494230768 510173696 556009614 573945408 592459776 741346152 765260544 988461536 1020347392 1112019228 1147890816 1482692304 1530521088 1976923072 2040694784 2224038456 2295781632 2965384608 3061042176 3953846144 4448076912 4591563264 5930769216 6122084352 7907692288 8896153824 9183126528 11861538432 15815384576 17792307648 18366253056 23723076864 31630769152 35584615296 47446153728 63261538304 71169230592 94892307456 142338461184 189784614912 284676922368 569353844736 74133154823383 148266309646766 222399464470149 296532619293532 444798928940298 593065238587064 667198393410447 889597857880596 1186130477174128 1334396786820894 1779195715761192 2298127799524873 2372260954348256 2668793573641788 3558391431522384 4596255599049746 4744521908696512 5337587147283576 6894383398574619 7116782863044768 9192511198099492 9489043817393024 10675174294567152 13788766797149238 14233565726089536 18385022396198984 18978087634786048 20683150195723857 21350348589134304 27577533594298476 28467131452179072 36770044792397968 37956175269572096 41366300391447714 42700697178268608 55155067188596952 56934262904358144 71241961785271063 73540089584795936 75912350539144192 82732600782895428 85401394356537216 110310134377193904 113868525808716288 142483923570542126 147080179169591872 151824701078288384 165465201565790856 170802788713074432 213725885355813189 220620268754387808 227737051617432576 284967847141084252 294160358339183744 330930403131581712 341605577426148864 427451770711626378 441240537508775616 455474103234865152 569935694282168504 588320716678367488 641177656067439567 661860806263163424 683211154852297728 854903541423252756 882481075017551232 1139871388564337008 1176641433356734976 1282355312134879134 1323721612526326848 1366422309704595456 1709807082846505512 1764962150035102464 2279742777128674016 2353282866713469952 2382861995487999769 2564710624269758268 2647443225052653696 3419614165693011024 3529924300070204928 4559485554257348032 4706565733426939904 4765723990975999538 5129421248539516536 5294886450105307392 6839228331386022048 7059848600140409856 7148585986463999307 9118971108514696064 9531447981951999076 10258842497079033072 10589772900210614784 13678456662772044096 14119697200280819712 14297171972927998614 18237942217029392128 19062895963903998152 20517684994158066144 21179545800421229568 21445757959391997921 27356913325544088192 28594343945855997228 36475884434058784256 38125791927807996304 41035369988316132288 42359091600842459136 42891515918783995842 54713826651088176384 57188687891711994456 72951768868117568512 73868721860127992839 76251583855615992608 82070739976632264576 85783031837567991684 109427653302176352768 114377375783423988912 145903537736235137024 147737443720255985678 152503167711231985216 164141479953264529152 171566063675135983368 218855306604352705536 221606165580383978517 228754751566847977824 295474887440511971356 305006335422463970432 328282959906529058304 343132127350271966736 437710613208705411072 443212331160767957034 457509503133695955648 590949774881023942712 610012670844927940864 656565919813058116608 664818496741151935551 686264254700543933472 886424662321535914068 915019006267391911296 1181899549762047885424 1220025341689855881728 1313131839626116233216 1329636993482303871102 1372528509401087866944 1772849324643071828136 1830038012534783822592 2289930377663967778009 2363799099524095770848 2440050683379711763456 2659273986964607742204 2745057018802175733888 3545698649286143656272 3660076025069567645184 4579860755327935556018 4727598199048191541696 4880101366759423526912 5318547973929215484408 5490114037604351467776 6869791132991903334027 7091397298572287312544 7320152050139135290368 9159721510655871112036 9455196398096383083392 10637095947858430968816 10980228075208702935552 13739582265983806668054 14182794597144574625088 14640304100278270580736 18319443021311742224072 18910392796192766166784 20609373398975710002081 21274191895716861937632 21960456150417405871104 27479164531967613336108 28365589194289149250176 36638886042623484448144 37820785592385532333568 41218746797951420004162 42548383791433723875264 43920912300834811742208 54958329063935226672216 56731178388578298500352 73277772085246968896288 75641571184771064667136 82437493595902840008324 85096767582867447750528 109916658127870453344432 113462356777156597000704 146555544170493937792576 151283142369542129334272 164874987191805680016648 170193535165734895501056 219833316255740906688864 226924713554313194001408 293111088340987875585152 329749974383611360033296 340387070331469791002112 439666632511481813377728 453849427108626388002816 586222176681975751170304 659499948767222720066592 680774140662939582004224 879333265022963626755456 1172444353363951502340608 1318999897534445440133184 1361548281325879164008448 1758666530045927253510912 2344888706727903004681216 2637999795068890880266368 3517333060091854507021824 4689777413455806009362432 5275999590137781760532736 7034666120183709014043648 10551999180275563521065472 14069332240367418028087296 21103998360551127042130944 42207996721102254084261888
- Sum of all divisors σ(n): 125967615574644284870782080
- Sum of proper divisors (its aliquot sum) s(n): 83759618853542030786520192
- 42207996721102254084261888 is an abundant number, because the sum of its proper divisors (83759618853542030786520192) is greater than itself. Its abundance is 41551622132439776702258304
Bases of 42207996721102254084261888
- Binary: 100010111010011110010000010110010010011101001110100000101000111101110100001000000000002
- Hexadecimal: 0x22E9E41649D3A0A3DD0800
- Base-36: 5AX7MJHG2FFFA4U80
Squares and roots of 42207996721102254084261888
- 42207996721102254084261888 squared (422079967211022540842618882) is 1781514987208578631947479708716286733291169769324544
- 42207996721102254084261888 cubed (422079967211022540842618883) is 75194178738694211023925731711632908472536327443655011306879154413986562179072
-
The
square root of 42207996721102254084261888 is 6496768175108.4711214319 -
The
cube root of 42207996721102254084261888 is 348175531.0830408441
Scales and comparisons
How big is 42207996721102254084261888?- 42,207,996,721,102,254,084,261,888 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,207,996,721,102,254,084,261,888 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42207996721102254084261888 cubic inches would be around 29014627.6 feet tall.
Recreational maths with 42207996721102254084261888
- 42207996721102254084261888 backwards is 88816248045220112769970224
- The number of decimal digits it has is: 26
- The sum of 42207996721102254084261888's digits is 108
- More coming soon!
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The information we have on file for 42207996721102254084261888 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!
Keywords: Divisors of 42207996721102254084261888, math, Factors of 42207996721102254084261888, curriculum, school, college, exams, university, Prime factorization of 42207996721102254084261888, STEM, science, technology, engineering, physics, economics, calculator, forty-two septillion, two hundred seven sextillion, nine hundred ninety-six quintillion, seven hundred twenty-one quadrillion, one hundred two trillion, two hundred fifty-four billion, eighty-four million, two hundred sixty-one thousand, eight hundred eighty-eight.