3420380199757770144
3,420,380,199,757,770,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 3420380199757770144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
3420380199757770144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 3420380199757770144:
25 × 34 × 7 × 17 × 83 × 133602422441
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 17 × 83 × 133602422441)See below for interesting mathematical facts about the number 3420380199757770144 from the Numbermatics database.
Names of 3420380199757770144
- Cardinal: 3420380199757770144 can be written as Three quintillion, four hundred twenty quadrillion, three hundred eighty trillion, one hundred ninety-nine billion, seven hundred fifty-seven million, seven hundred seventy thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 3.420380199757770144 × 1018
Factors of 3420380199757770144
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 133602422553
Divisors of 3420380199757770144
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 51 54 56 63 68 72 81 83 84 96 102 108 112 119 126 136 144 153 162 166 168 189 204 216 224 238 249 252 272 288 306 324 332 336 357 378 408 432 459 476 498 504 544 567 581 612 648 664 672 714 747 756 816 864 918 952 996 1008 1071 1134 1162 1224 1296 1328 1377 1411 1428 1494 1512 1632 1743 1836 1904 1992 2016 2142 2241 2268 2324 2448 2592 2656 2754 2822 2856 2988 3024 3213 3486 3672 3808 3984 4233 4284 4482 4536 4648 4896 5229 5508 5644 5712 5976 6048 6426 6723 6972 7344 7968 8466 8568 8964 9072 9296 9639 9877 10458 11016 11288 11424 11952 12699 12852 13446 13944 14688 15687 16932 17136 17928 18144 18592 19278 19754 20916 22032 22576 23904 25398 25704 26892 27888 29631 31374 33864 34272 35856 38097 38556 39508 41832 44064 45152 47061 50796 51408 53784 55776 59262 62748 67728 71712 76194 77112 79016 83664 88893 94122 101592 102816 107568 114291 118524 125496 135456 152388 154224 158032 167328 177786 188244 203184 215136 228582 237048 250992 266679 304776 308448 316064 355572 376488 406368 457164 474096 501984 533358 609552 711144 752976 800037 914328 948192 1066716 1219104 1422288 1505952 1600074 1828656 2133432 2844576 3200148 3657312 4266864 6400296 8533728 12800592 25601184 133602422441 267204844882 400807267323 534409689764 801614534646 935216957087 1068819379528 1202421801969 1603229069292 1870433914174 2137638759056 2271241181497 2404843603938 2805650871261 3206458138584 3607265405907 3740867828348 4275277518112 4542482362994 4809687207876 5611301742522 6412916277168 6813723544491 7214530811814 7481735656696 8416952613783 9084964725988 9619374415752 10821796217721 11089001062603 11222603485044 12825832554336 13627447088982 14429061623628 14963471313392 15898688270479 16833905227566 18169929451976 19238748831504 20441170633473 21643592435442 22178002125206 22445206970088 25250857841349 27254894177964 28858123247256 29926942626784 31797376540958 33267003187809 33667810455132 36339858903952 38477497663008 40882341266946 43287184870884 44356004250412 44890413940176 47696064811437 50501715682698 54509788355928 57716246494512 61323511900419 63594753081916 66534006375618 67335620910264 72679717807904 75752573524047 77623007438221 81764682533892 86574369741768 88712008500824 89780827880352 95392129622874 99801009563427 101003431365396 109019576711856 115432492989024 122647023800838 127189506163832 133068012751236 134671241820528 143088194434311 151505147048094 155246014876442 163529365067784 173148739483536 177424017001648 183970535701257 188513018064251 190784259245748 199602019126854 202006862730792 218039153423712 232869022314663 245294047601676 254379012327664 266136025502472 269342483641056 286176388868622 299403028690281 303010294096188 310492029752884 327058730135568 346297478967072 354848034003296 367941071402514 377026036128502 381568518491496 399204038253708 404013725461584 429264583302933 465738044629326 490588095203352 508758024655328 532272051004944 565539054192753 572352777737244 598806057380562 606020588192376 620984059505768 654117460271136 698607066943989 735882142805028 754052072257004 763137036982992 798408076507416 808027450923168 858529166605866 898209086070843 931476089258652 981176190406704 1064544102009888 1131078108385506 1144705555474488 1197612114761124 1212041176384752 1241968119011536 1287793749908799 1319591126449757 1397214133887978 1471764285610056 1508104144514008 1526274073965984 1596816153014832 1696617162578259 1717058333211732 1796418172141686 1862952178517304 1962352380813408 2095821200831967 2262156216771012 2289411110948976 2395224229522248 2424082352769504 2483936238023072 2575587499817598 2639182252899514 2794428267775956 2943528571220112 3016208289028016 3193632306029664 3393234325156518 3434116666423464 3592836344283372 3725904357034608 3958773379349271 4191642401663934 4524312433542024 4578822221897952 4790448459044496 5089851487734777 5151174999635196 5278364505799028 5588856535551912 5887057142440224 6032416578056032 6287463602495901 6786468650313036 6868233332846928 7185672688566744 7451808714069216 7917546758698542 8383284803327868 9048624867084048 9580896918088992 10179702975469554 10302349999270392 10556729011598056 11177713071103824 11876320138047813 12574927204991802 13572937300626072 13736466665693856 14371345377133488 15269554463204331 15835093517397084 16766569606655736 18097249734168096 20359405950939108 20604699998540784 21113458023196112 22355426142207648 23752640276095626 25149854409983604 27145874601252144 28742690754266976 30539108926408662 31670187034794168 33533139213311472 35628960414143439 40718811901878216 41209399997081568 42226916046392224 47505280552191252 50299708819967208 54291749202504288 61078217852817324 63340374069588336 67066278426622944 71257920828286878 81437623803756432 95010561104382504 100599417639934416 106886881242430317 122156435705634648 126680748139176672 142515841656573756 162875247607512864 190021122208765008 201198835279868832 213773762484860634 244312871411269296 285031683313147512 380042244417530016 427547524969721268 488625742822538592 570063366626295024 855095049939442536 1140126733252590048 1710190099878885072 3420380199757770144
- Sum of all divisors σ(n): 12319186516866827136
- Sum of proper divisors (its aliquot sum) s(n): 8898806317109056992
- 3420380199757770144 is an abundant number, because the sum of its proper divisors (8898806317109056992) is greater than itself. Its abundance is 5478426117351286848
Bases of 3420380199757770144
- Binary: 101111011101111010000110101011011100110101011101101101101000002
- Hexadecimal: 0x2F77A1AB73576DA0
- Base-36: PZIFL7PK1M00
Squares and roots of 3420380199757770144
- 3420380199757770144 squared (34203801997577701442) is 11699000710895003593436172903137780736
- 3420380199757770144 cubed (34203801997577701443) is 40015030388497347312373941410111456393837660624159145984
-
The
square root of 3420380199757770144 is 1849426992.2756535089 -
The
cube root of 3420380199757770144 is 1506693.0832283455
Scales and comparisons
How big is 3420380199757770144?- 3,420,380,199,757,770,144 seconds is equal to 108,757,510,421 years, 35 weeks, 3 days, 17 hours, 2 minutes, 24 seconds.
-
To count from 1 to 3,420,380,199,757,770,144 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 3420380199757770144 cubic inches would be around 125557.8 feet tall.
Recreational maths with 3420380199757770144
- 3420380199757770144 backwards is 4410777579910830243
- 3420380199757770144 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3420380199757770144's digits is 81
- More coming soon!
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The information we have on file for 3420380199757770144 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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