242972016631968
242,972,016,631,968 is an even composite number composed of six prime numbers multiplied together.
242972016631968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 242972016631968:
25 × 3 × 13 × 312 × 1572 × 8219
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 31 × 31 × 157 × 157 × 8219)See below for interesting mathematical facts about the number 242972016631968 from the Numbermatics database.
Names of 242972016631968
- Cardinal: 242972016631968 can be written as Two hundred forty-two trillion, nine hundred seventy-two billion, sixteen million, six hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 2.42972016631968 × 1014
Factors of 242972016631968
Divisors of 242972016631968
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 157 186 208 248 312 314 372 403 416 471 496 624 628 744 806 942 961 992 1209 1248 1256 1488 1612 1884 1922 2041 2418 2512 2883 2976 3224 3768 3844 4082 4836 4867 5024 5766 6123 6448 7536 7688 8164 8219 9672 9734 11532 12246 12493 12896 14601 15072 15376 16328 16438 19344 19468 23064 24492 24649 24657 24986 29202 30752 32656 32876 37479 38688 38936 46128 48984 49298 49314 49972 58404 63271 65312 65752 73947 74958 77872 92256 97968 98596 98628 99944 106847 116808 126542 131504 147894 149916 150877 155744 189813 195936 197192 197256 199888 213694 233616 253084 254789 263008 295788 299832 301754 320437 320541 379626 394384 394512 399776 427388 452631 467232 506168 509578 591576 599664 603508 640874 641082 759252 764119 764367 788768 789024 854776 905262 961311 1012336 1019156 1183152 1199328 1207016 1281748 1282164 1290383 1518504 1528238 1528734 1709552 1810524 1922622 1961401 2024672 2038312 2292357 2366304 2414032 2563496 2564328 2580766 3037008 3056476 3057468 3312257 3419104 3621048 3845244 3871149 3922802 4076624 4584714 4828064 5126992 5128656 5161532 5884203 6074016 6112952 6114936 6624514 7242096 7690488 7742298 7845604 7898459 8153248 9169428 9933547 9936771 10253984 10257312 10323064 11768406 12225904 12229872 13249028 14484192 15380976 15484596 15691208 15796918 16774979 18338856 19867094 19873542 20646128 23536812 23687689 23695377 24451808 24459744 26498056 29800641 30761952 30969192 31382416 31593836 33549958 36677712 39734188 39747084 40001873 41292256 47073624 47375378 47390754 50324937 52996112 59601282 61938384 62764832 63187672 67099916 71063067 73355424 79468376 79494168 80003746 94147248 94750756 94781508 100649874 102679967 105992224 119202564 120005619 123876768 126375344 134199832 142126134 158936752 158988336 160007492 188294496 189501512 189563016 201299748 202590131 205359934 238405128 240011238 252750688 268399664 284252268 307939957 308039901 317873504 317976672 320014984 379003024 379126032 402599496 405180262 410719868 476810256 480022476 520024349 536799328 568504536 607770393 615879914 616079802 640029968 758006048 758252064 805198992 810360524 821439736 923819871 953620512 960044952 1040048698 1137009072 1215540786 1231759828 1232159604 1240058063 1280059936 1560073047 1610397984 1620721048 1642879472 1847639742 1920089904 2080097396 2274018144 2431081572 2463519656 2464319208 2480116126 2633671703 3120146094 3241442096 3285758944 3695279484 3720174189 3840179808 4160194792 4862163144 4927039312 4928638416 4960232252 5267343406 6240292188 6280294061 6482884192 7390558968 7440348378 7901015109 8320389584 9724326288 9854078624 9857276832 9920464504 10534686812 12480584376 12560588122 14781117936 14880696756 15802030218 16120754819 16640779168 18840882183 19448652576 19840929008 21069373624 24961168752 25121176244 29562235872 29761393512 31604060436 32241509638 37681764366 39681858016 42138747248 48362264457 49922337504 50242352488 59522787024 63208120872 64483019276 75363528732 81643822793 84277494496 96724528914 100484704976 119045574048 126416241744 128966038552 150727057464 163287645586 193449057828 194689115891 200969409952 244931468379 252832483488 257932077104 301454114928 326575291172 386898115656 389378231782 489862936758 515864154208 584067347673 602908229856 653150582344 773796231312 778756463564 979725873516 1168134695346 1306301164688 1547592462624 1557512927128 1959451747032 2336269390692 2530958506583 2612602329376 3115025854256 3918903494064 4672538781384 5061917013166 6230051708512 7592875519749 7837806988128 9345077562768 10123834026332 15185751039498 18690155125536 20247668052664 30371502078996 40495336105328 60743004157992 80990672210656 121486008315984 242972016631968
- Sum of all divisors σ(n): 714371120336160
- Sum of proper divisors (its aliquot sum) s(n): 471399103704192
- 242972016631968 is an abundant number, because the sum of its proper divisors (471399103704192) is greater than itself. Its abundance is 228427087072224
Bases of 242972016631968
- Binary: 1101110011111011010101001011110111100000101000002
- Hexadecimal: 0xDCFB54BDE0A0
- Base-36: 2E4JSXCN1C
Squares and roots of 242972016631968
- 242972016631968 squared (2429720166319682) is 59035400866205334414359553024
- 242972016631968 cubed (2429720166319683) is 14343950401138540587225172726274154389471232
-
The
square root of 242972016631968 is 15587559.6753298109 -
The
cube root of 242972016631968 is 62400.1192188961
Scales and comparisons
How big is 242972016631968?- 242,972,016,631,968 seconds is equal to 7,725,758 years, 29 weeks, 3 days, 10 hours, 12 minutes, 48 seconds.
-
To count from 1 to 242,972,016,631,968 would take you about nineteen million, three hundred fourteen thousand, three hundred ninety-six 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 242972016631968 cubic inches would be around 5200 feet tall.
Recreational maths with 242972016631968
- 242972016631968 backwards is 869136610279242
- The number of decimal digits it has is: 15
- The sum of 242972016631968's digits is 66
- More coming soon!
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