601133421080400768
601,133,421,080,400,768 is an even composite number composed of five prime numbers multiplied together.
What does the number 601133421080400768 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 512 divisors.
601133421080400768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 601133421080400768:
27 × 33 × 73 × 31 × 16358418941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 31 × 16358418941)See below for interesting mathematical facts about the number 601133421080400768 from the Numbermatics database.
Names of 601133421080400768
- Cardinal: 601133421080400768 can be written as Six hundred one quadrillion, one hundred thirty-three trillion, four hundred twenty-one billion, eighty million, four hundred thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 6.01133421080400768 × 1017
Factors of 601133421080400768
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 16358418984
Divisors of 601133421080400768
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 54 56 62 63 64 72 84 93 96 98 108 112 124 126 128 144 147 168 186 189 192 196 216 217 224 248 252 279 288 294 336 343 372 378 384 392 432 434 441 448 496 504 558 576 588 651 672 686 744 756 784 837 864 868 882 896 992 1008 1029 1116 1152 1176 1302 1323 1344 1372 1488 1512 1519 1568 1674 1728 1736 1764 1953 1984 2016 2058 2232 2352 2604 2646 2688 2744 2976 3024 3038 3087 3136 3348 3456 3472 3528 3906 3968 4032 4116 4464 4557 4704 5208 5292 5488 5859 5952 6048 6076 6174 6272 6696 6944 7056 7812 8064 8232 8928 9114 9261 9408 10416 10584 10633 10976 11718 11904 12096 12152 12348 13392 13671 13888 14112 15624 16464 17856 18228 18522 18816 20832 21168 21266 21952 23436 24192 24304 24696 26784 27342 27776 28224 31248 31899 32928 35712 36456 37044 41013 41664 42336 42532 43904 46872 48608 49392 53568 54684 56448 62496 63798 65856 72912 74088 82026 83328 84672 85064 93744 95697 97216 98784 107136 109368 124992 127596 131712 145824 148176 164052 169344 170128 187488 191394 194432 197568 218736 249984 255192 287091 291648 296352 328104 340256 374976 382788 395136 437472 510384 574182 583296 592704 656208 680512 749952 765576 874944 1020768 1148364 1185408 1312416 1361024 1531152 1749888 2041536 2296728 2624832 3062304 4083072 4593456 5249664 6124608 9186912 12249216 18373824 36747648 16358418941 32716837882 49075256823 65433675764 98150513646 114508932587 130867351528 147225770469 196301027292 229017865174 261734703056 294451540938 343526797761 392602054584 441677311407 458035730348 507110987171 523469406112 588903081876 687053595522 785204109168 801562528109 883354622814 916071460696 1014221974342 1030580393283 1046938812224 1177806163752 1374107191044 1521332961513 1570408218336 1603125056218 1766709245628 1832142921392 2028443948684 2061160786566 2093877624448 2355612327504 2404687584327 2748214382088 3042665923026 3091741179849 3140816436672 3206250112436 3533418491256 3549776910197 3664285842784 4056887897368 4122321573132 4563998884539 4711224655008 4809375168654 5496428764176 5610937696763 6085331846052 6183482359698 6281632873344 6412500224872 7066836982512 7099553820394 7214062752981 7328571685568 8113775794736 8244643146264 9127997769078 9422449310016 9618750337308 10649330730591 10992857528352 11221875393526 12170663692104 12366964719396 12825000449744 13691996653617 14133673965024 14199107640788 14428125505962 14657143371136 16227551589472 16489286292528 16832813090289 18255995538156 18844898620032 19237500674616 21298661461182 21642188258943 21985715056704 22443750787052 24341327384208 24733929438792 24848438371379 25650000899488 27383993307234 28267347930048 28398215281576 28856251011924 31947992191773 32455103178944 32978572585056 33665626180578 36511991076312 38475001349232 42597322922364 43284376517886 43971430113408 44887501574104 48682654768416 49467858877584 49696876742758 50498439270867 51300001798976 54767986614468 56534695860096 56796430563152 57712502023848 63895984383546 64910206357888 65957145170112 67331252361156 73023982152624 74545315114137 76950002698464 85194645844728 86568753035772 89775003148208 95843976575319 97365309536832 98935717755168 99393753485516 100996878541734 102600003597952 109535973228936 113592861126304 115425004047696 127791968767092 131914290340224 134662504722312 146047964305248 149090630228274 151495317812601 153900005396928 170389291689456 173137506071544 173939068599653 179550006296416 191687953150638 194730619073664 197871435510336 198787506971032 201993757083468 219071946457872 223635945342411 227185722252608 230850008095392 255583937534184 269325009444624 292095928610496 298181260456548 302990635625202 307800010793856 340778583378912 346275012143088 347878137199306 359100012592832 383375906301276 395742871020672 397575013942064 403987514166936 438143892915744 447271890684822 454371444505216 461700016190784 511167875068368 521817205798959 538650018889248 584191857220992 596362520913096 605981271250404 670907836027233 681557166757824 692550024286176 695756274398612 718200025185664 766751812602552 795150027884128 807975028333872 876287785831488 894543781369644 923400032381568 1022335750136736 1043634411597918 1077300037778496 1192725041826192 1211962542500808 1341815672054466 1363114333515648 1385100048572352 1391512548797224 1533503625205104 1565451617396877 1590300055768256 1615950056667744 1752575571662976 1789087562739288 2044671500273472 2087268823195836 2154600075556992 2385450083652384 2423925085001616 2683631344108932 2770200097144704 2783025097594448 3067007250410208 3130903234793754 3180600111536512 3231900113335488 3578175125478576 4089343000546944 4174537646391672 4696354852190631 4770900167304768 4847850170003232 5367262688217864 5566050195188896 6134014500820416 6261806469587508 6463800226670976 7156350250957152 8349075292783344 9392709704381262 9541800334609536 9695700340006464 10734525376435728 11132100390377792 12268029001640832 12523612939175016 14312700501914304 16698150585566688 18785419408762524 19391400680012928 21469050752871456 22264200780755584 25047225878350032 28625401003828608 33396301171133376 37570838817525048 42938101505742912 50094451756700064 66792602342266752 75141677635050096 85876203011485824 100188903513400128 150283355270100192 200377807026800256 300566710540200384 601133421080400768
- Sum of all divisors σ(n): 2135755177067520000
- Sum of proper divisors (its aliquot sum) s(n): 1534621755987119232
- 601133421080400768 is an abundant number, because the sum of its proper divisors (1534621755987119232) is greater than itself. Its abundance is 933488334906718464
Bases of 601133421080400768
- Binary: 1000010101111010011110101001010110100001110011010011100000002
- Hexadecimal: 0x857A7A95A1CD380
- Base-36: 4KF00H96A5C0
Squares and roots of 601133421080400768
- 601133421080400768 squared (6011334210804007682) is 361361389939826418444198939494989824
- 601133421080400768 cubed (6011334210804007683) is 217226408580896572342248323932798205141490618001784832
-
The
square root of 601133421080400768 is 775327944.2148340161 -
The
cube root of 601133421080400768 is 843963.4225481897
Scales and comparisons
How big is 601133421080400768?- 601,133,421,080,400,768 seconds is equal to 19,114,183,362 years, 31 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 601,133,421,080,400,768 would take you about fifty-seven billion, three hundred forty-two million, five hundred fifty thousand and eighty-seven 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 601133421080400768 cubic inches would be around 70330.3 feet tall.
Recreational maths with 601133421080400768
- 601133421080400768 backwards is 867004080124331106
- 601133421080400768 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 601133421080400768's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 601133421080400768 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 601133421080400768 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/601133421080400768/
Chicago style:
Numbermatics. 2024. "Number 601133421080400768 - Facts about the integer". https://numbermatics.com/n/601133421080400768/
The information we have on file for 601133421080400768 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 601133421080400768, math, Factors of 601133421080400768, curriculum, school, college, exams, university, Prime factorization of 601133421080400768, STEM, science, technology, engineering, physics, economics, calculator, six hundred one quadrillion, one hundred thirty-three trillion, four hundred twenty-one billion, eighty million, four hundred thousand, seven hundred sixty-eight.