3997974318987982242
3,997,974,318,987,982,242 is an even composite number composed of six prime numbers multiplied together.
What does the number 3997974318987982242 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
3997974318987982242 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3997974318987982242:
2 × 3 × 7 × 132 × 293 × 1519692
(2 × 3 × 7 × 13 × 13 × 29 × 29 × 29 × 151969 × 151969)See below for interesting mathematical facts about the number 3997974318987982242 from the Numbermatics database.
Names of 3997974318987982242
- Cardinal: 3997974318987982242 can be written as Three quintillion, nine hundred ninety-seven quadrillion, nine hundred seventy-four trillion, three hundred eighteen billion, nine hundred eighty-seven million, nine hundred eighty-two thousand, two hundred forty-two.
Scientific notation
- Scientific notation: 3.997974318987982242 × 1018
Factors of 3997974318987982242
Divisors of 3997974318987982242
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 169 174 182 203 273 338 377 406 507 546 609 754 841 1014 1131 1183 1218 1682 2262 2366 2523 2639 3549 4901 5046 5278 5887 7098 7917 9802 10933 11774 14703 15834 17661 21866 24389 29406 32799 34307 35322 48778 65598 68614 73167 76531 102921 142129 146334 151969 153062 170723 205842 229593 284258 303938 317057 341446 426387 455907 459186 512169 634114 852774 911814 951171 994903 1024338 1063783 1902342 1975597 1989806 2127566 2219399 2984709 3191349 3951194 4121741 4407101 4438798 5926791 5969418 6382698 6658197 8243482 8814202 11853582 12365223 13221303 13316394 13829179 24730446 25682761 26442606 27658358 28852187 30849707 41487537 51365522 57292313 57704374 61699414 77048283 82975074 86556561 92549121 114584626 127805929 154096566 171876939 173113122 179779327 185098242 255611858 343753878 359558654 383417787 401046191 539337981 744800069 766835574 802092382 894641503 1078675962 1203138573 1489600138 1661477077 1789283006 2234400207 2406277146 2683924509 3322954154 3706371941 4468800414 4984431231 5213600483 5367849018 7412743882 9968862462 10427200966 11119115823 11630339539 15640801449 21599202001 22238231646 23094576961 23260679078 25944603587 31281602898 34891018617 43198404002 46189153922 48182835233 51889207174 64797606003 69283730883 69782037234 77833810761 96365670466 129595212006 138567461766 144548505699 151194414007 155667621522 161662038727 289097011398 300229500493 302388828014 323324077454 337279846631 453583242021 484986116181 600459000986 626376858029 669742731869 674559693262 900688501479 907166484042 969972232362 1011839539893 1252753716058 1339485463738 1801377002958 1879130574087 2009228195607 2023679079786 2101606503451 3758261148174 3902983506409 4018456391214 4203213006902 4384638006203 4688199123083 6304819510353 7805967012818 8706655514297 8769276012406 9376398246166 11708950519227 12609639020706 13153914018609 14064597369249 17413311028594 19422539224201 23417901038454 26119966542891 26307828037218 27320884544863 28129194738498 38845078448402 52239933085782 54641769089726 58267617672603 60946588600079 81962653634589 113186521685861 116535235345206 121893177200158 135957774569407 163925307269178 182839765800237 226373043371722 252493009914613 271915549138814 339559565057583 365679531600474 407873323708221 504986019829226 563253637501829 679119130115166 757479029743839 792305651801027 815746647416442 1126507275003658 1514958059487678 1584611303602054 1689760912505487 1767451069402291 2376916955403081 3282409128889969 3379521825010974 3534902138804582 3942775462512803 4753833910806162 5302353208206873 6564818257779938 7322297287523777 7885550925025606 9847227386669907 10604706416413746 11828326387538409 14644594575047554 19694454773339814 21966891862571331 22976863902229783 23656652775076818 43933783725142662 45953727804459566 51256081012666439 68930591706689349 95189864737809101 102512162025332878 137861183413378698 153768243037999317 190379729475618202 285569594213427303 307536486075998634 571139188426854606 666329053164663707 1332658106329327414 1998987159493991121 3997974318987982242
- Sum of all divisors σ(n): 10248694277938750080
- Sum of proper divisors (its aliquot sum) s(n): 6250719958950767838
- 3997974318987982242 is an abundant number, because the sum of its proper divisors (6250719958950767838) is greater than itself. Its abundance is 2252745639962785596
Bases of 3997974318987982242
- Binary: 110111011110111010100001110110000000000110100110110101101000102
- Hexadecimal: 0x377BA8760069B5A2
- Base-36: UDHNM6ZBHJTU
Squares and roots of 3997974318987982242
- 3997974318987982242 squared (39979743189879822422) is 15983798655287420385288230822507346564
- 3997974318987982242 cubed (39979743189879822423) is 63902816543713750839979462602693958033431855671771716488
-
The
square root of 3997974318987982242 is 1999493515.6153875963 -
The
cube root of 3997974318987982242 is 1587133.0427072151
Scales and comparisons
How big is 3997974318987982242?- 3,997,974,318,987,982,242 seconds is equal to 127,123,216,797 years, 14 weeks, 6 days, 18 hours, 10 minutes, 42 seconds.
-
To count from 1 to 3,997,974,318,987,982,242 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 3997974318987982242 cubic inches would be around 132261.1 feet tall.
Recreational maths with 3997974318987982242
- 3997974318987982242 backwards is 2422897898134797993
- The number of decimal digits it has is: 19
- The sum of 3997974318987982242's digits is 111
- More coming soon!
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