242167870936401984
242,167,870,936,401,984 is an even composite number composed of six prime numbers multiplied together.
242167870936401984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 242167870936401984:
26 × 32 × 7 × 313 × 472 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 31 × 31 × 31 × 47 × 47 × 97 × 97 × 97)See below for interesting mathematical facts about the number 242167870936401984 from the Numbermatics database.
Names of 242167870936401984
- Cardinal: 242167870936401984 can be written as Two hundred forty-two quadrillion, one hundred sixty-seven trillion, eight hundred seventy billion, nine hundred thirty-six million, four hundred one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.42167870936401984 × 1017
Factors of 242167870936401984
Divisors of 242167870936401984
- Number of divisors d(n): 2016
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 47 48 56 62 63 64 72 84 93 94 96 97 112 124 126 141 144 168 186 188 192 194 217 224 248 252 279 282 288 291 329 336 372 376 388 423 434 448 496 504 558 564 576 582 651 658 672 679 744 752 776 846 868 873 961 987 992 1008 1116 1128 1164 1302 1316 1344 1358 1457 1488 1504 1552 1692 1736 1746 1922 1953 1974 1984 2016 2037 2209 2232 2256 2328 2604 2632 2716 2883 2914 2961 2976 3007 3008 3104 3384 3472 3492 3844 3906 3948 4032 4074 4371 4418 4464 4512 4559 4656 5208 5264 5432 5766 5828 5922 5952 6014 6111 6208 6627 6727 6768 6944 6984 7688 7812 7896 8148 8649 8742 8836 8928 9021 9024 9118 9312 9409 10199 10416 10528 10864 11532 11656 11844 12028 12222 13113 13254 13454 13536 13677 13888 13968 15376 15463 15624 15792 16296 17298 17484 17672 17856 18042 18236 18624 18818 19881 20181 20398 20832 21049 21056 21728 23064 23312 23688 24056 24444 26226 26508 26908 27063 27072 27354 27936 28227 29791 30597 30752 30926 31248 31584 31913 32592 34596 34968 35344 36084 36472 37636 39762 40362 40796 41031 41664 42098 43456 45167 46128 46389 46624 47376 48112 48888 52452 53016 53816 54126 54708 55872 56454 59582 60543 61194 61504 61852 62496 63147 63168 63826 65184 65863 68479 69192 69936 70688 72168 72944 75272 79524 80724 81592 82062 84196 84681 89373 90334 91791 92256 92778 93217 93248 94752 95739 96224 97776 104904 106032 107632 108252 109416 112908 119164 121086 122388 123704 124992 126294 127652 130368 131726 135501 136958 138384 139167 139872 141329 141376 144336 145888 150544 159048 161448 163184 164124 168392 169362 178746 180668 183582 184512 185556 186434 189441 189504 191478 192448 195552 197589 205437 208537 209808 212064 214273 215264 216504 218832 225816 238328 242172 244776 247408 252588 255304 263452 268119 271002 273916 276768 278334 279651 279744 282658 287217 288672 291679 291776 301088 316169 318096 322896 326368 328248 336784 338724 357492 361336 367164 371112 372868 378882 382956 391104 395178 406503 410874 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19814095151072 20133677330928 20446459889936 20776241501064 20999641947312 22290857044956 23002267376178 23249603584524 23744276001216 25737896794176 26005999885782 26559319032288 26835978605541 26844903107904 27124537515278 27406956873744 27701655334752 27999522596416 29721142726608 30669689834904 30999471446032 31499462920968 34674666514376 34874405376786 35781304807388 35999386195392 36542609164992 39008999828673 39628190302144 40267354661856 40686806272917 40892919779872 41552483002128 41999283894624 44581714089912 46004534752356 46499207169048 52011999771564 53118638064576 53671957211082 54249075030556 54813913747488 55403310669504 59442285453216 60061475926687 61339379669808 61998942892064 62998925841936 69349333028752 69748810753572 71562609614776 78017999657346 80507935816623 80534709323712 81373612545834 81785839559744 83104966004256 83998567789248 89163428179824 92009069504712 92998414338096 104023999543128 107343914422164 108498150061112 109627827494976 118884570906432 120122951853374 122060418818751 122678759339616 123997885784128 125997851683872 138698666057504 139497621507144 143125219229552 156035999314692 161015871633246 162747225091668 166209932008512 178326856359648 180184427780061 184018139009424 185996828676192 208047999086256 214687828844328 216996300122224 240245903706748 244120837637502 245357518679232 251995703367744 277397332115008 278995243014288 286250438459104 312071998629384 322031743266492 325494450183336 356653712719296 360368855560122 368036278018848 371993657352384 416095998172512 420430331486809 429375657688656 433992600244448 480491807413496 488241675275004 540553283340183 557990486028576 572500876918208 624143997258768 644063486532984 650988900366672 720737711120244 736072556037696 832191996345024 840860662973618 858751315377312 867985200488896 960983614826992 976483350550008 1081106566680366 1115980972057152 1248287994517536 1261290994460427 1288126973065968 1301977800733344 1441475422240488 1681721325947236 1717502630754624 1921967229653984 1952966701100016 2162213133360732 2496575989035072 2522581988920854 2576253946131936 2603955601466688 2882950844480976 3363442651894472 3783872983381281 3843934459307968 3905933402200032 4324426266721464 5045163977841708 5152507892263872 5765901688961952 6726885303788944 7567745966762562 7811866804400064 8648852533442928 10090327955683416 11531803377923904 13453770607577888 15135491933525124 17297705066885856 20180655911366832 26907541215155776 30270983867050248 34595410133771712 40361311822733664 60541967734100496 80722623645467328 121083935468200992 242167870936401984
- Sum of all divisors σ(n): 846270824772638720
- Sum of proper divisors (its aliquot sum) s(n): 604102953836236736
- 242167870936401984 is an abundant number, because the sum of its proper divisors (604102953836236736) is greater than itself. Its abundance is 361935082899834752
Bases of 242167870936401984
- Binary: 11010111000101101001100101010000110010110101001000010000002
- Hexadecimal: 0x35C5A65432D4840
- Base-36: 1U8HCG2UE8G0
Squares and roots of 242167870936401984
- 242167870936401984 squared (2421678709364019842) is 58645277713869848734956835639136256
- 242167870936401984 cubed (2421678709364019843) is 14202002044441885128865402101863186802143818164731904
-
The
square root of 242167870936401984 is 492105548.5730698241 -
The
cube root of 242167870936401984 is 623312.0285067067
Scales and comparisons
How big is 242167870936401984?- 242,167,870,936,401,984 seconds is equal to 7,700,189,221 years, 19 weeks, 1 day, 17 hours, 26 minutes, 24 seconds.
-
To count from 1 to 242,167,870,936,401,984 would take you about twenty-three billion, one hundred million, five hundred sixty-seven thousand, six hundred sixty-four 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 242167870936401984 cubic inches would be around 51942.7 feet tall.
Recreational maths with 242167870936401984
- 242167870936401984 backwards is 489104639078761242
- The number of decimal digits it has is: 18
- The sum of 242167870936401984's digits is 81
- More coming soon!
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"Number 242167870936401984 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 242167870936401984 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/242167870936401984/
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The information we have on file for 242167870936401984 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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