42338438808008000
42,338,438,808,008,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42338438808008000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1764 divisors.
42338438808008000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred sixty-four divisors.
Prime factorization of 42338438808008000:
26 × 53 × 76 × 192 × 3532
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 19 × 19 × 353 × 353)See below for interesting mathematical facts about the number 42338438808008000 from the Numbermatics database.
Names of 42338438808008000
- Cardinal: 42338438808008000 can be written as Forty-two quadrillion, three hundred thirty-eight trillion, four hundred thirty-eight billion, eight hundred eight million, eight thousand.
Scientific notation
- Scientific notation: 4.2338438808008 × 1016
Factors of 42338438808008000
Divisors of 42338438808008000
- Number of divisors d(n): 1764
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 49 50 56 64 70 76 80 95 98 100 112 125 133 140 152 160 175 190 196 200 224 245 250 266 280 304 320 343 350 353 361 380 392 400 448 475 490 500 532 560 608 665 686 700 706 722 760 784 800 875 931 950 980 1000 1064 1120 1216 1225 1330 1372 1400 1412 1444 1520 1568 1600 1715 1750 1765 1805 1862 1900 1960 2000 2128 2240 2375 2401 2450 2471 2527 2660 2744 2800 2824 2888 3040 3136 3325 3430 3500 3530 3610 3724 3800 3920 4000 4256 4655 4750 4802 4900 4942 5054 5320 5488 5600 5648 5776 6080 6125 6517 6650 6707 6860 7000 7060 7220 7448 7600 7840 8000 8512 8575 8825 9025 9310 9500 9604 9800 9884 10108 10640 10976 11200 11296 11552 12005 12250 12355 12635 13034 13300 13414 13720 14000 14120 14440 14896 15200 15680 16625 16807 17150 17297 17650 17689 18050 18620 19000 19208 19600 19768 20216 21280 21952 22592 23104 23275 24010 24500 24710 25270 26068 26600 26828 27440 28000 28240 28880 29792 30400 32585 33250 33535 33614 34300 34594 35300 35378 36100 37240 38000 38416 39200 39536 40432 42560 42875 44125 45125 45619 46550 46949 48020 49000 49420 50540 52136 53200 53656 54880 56000 56480 57760 59584 60025 61775 63175 65170 66500 67070 67228 68600 69188 70600 70756 72200 74480 76000 76832 78400 79072 80864 84035 85750 86485 88250 88445 90250 91238 93100 93898 96040 98000 98840 101080 104272 106400 107312 109760 112960 115520 116375 117649 120050 121079 123550 123823 124609 126350 127433 130340 133000 134140 134456 137200 138376 141200 141512 144400 148960 152000 153664 158144 161728 162925 167675 168070 171500 172970 176500 176890 180500 182476 186200 187796 192080 196000 197680 202160 208544 212800 214624 228095 232750 234745 235298 240100 242158 247100 247646 249218 252700 254866 260680 266000 268280 268912 274400 276752 282400 283024 288800 297920 300125 308875 315875 319333 325850 328643 335350 336140 343000 345940 353000 353780 361000 364952 372400 375592 384160 392000 395360 404320 417088 420175 429248 432425 442225 456190 465500 469490 470596 480200 484316 494200 495292 498436 505400 509732 521360 532000 536560 537824 548800 553504 564800 566048 577600 588245 600250 605395 617750 619115 623045 631750 637165 638666 651700 657286 670700 672280 686000 691880 706000 707560 722000 729904 744800 751184 768320 790720 808640 814625 838375 840350 847553 864850 866761 872263 884450 892031 912380 931000 938980 941192 960400 968632 988400 990584 996872 1010800 1019464 1042720 1064000 1073120 1075648 1107008 1132096 1140475 1173725 1176490 1200500 1210790 1235500 1238230 1246090 1263500 1274330 1277332 1303400 1314572 1341400 1344560 1372000 1383760 1412000 1415120 1444000 1459808 1489600 1502368 1596665 1629250 1643215 1676750 1680700 1695106 1729700 1733522 1744526 1768900 1784062 1824760 1862000 1877960 1882384 1920800 1937264 1976800 1981168 1993744 2021600 2038928 2085440 2100875 2146240 2162125 2211125 2235331 2280950 2300501 2347450 2352980 2367571 2401000 2421580 2471000 2476460 2492180 2527000 2548660 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232021958000 234561987856 239348967200 239877840272 244773306400 246871363312 251909554400 252502989760 259864592960 261787932875 267720803875 275526075125 278542360579 284226898550 293202484820 299186209000 299847300340 305966633000 308589204140 314886943000 315628737200 318334126376 324830741200 332240776000 335088554080 339770312000 341927096000 342682628960 349676152000 352673376160 359870792000 363810430144 366503106025 374809125425 385736505175 394535921500 397917657970 406038426500 418860692600 428353286200 432024885796 440841720200 450898196000 454763037680 464043916000 469123975712 478697934400 479755680544 489546612800 493742726624 503819108800 523575865750 535441607750 540031107245 551052150250 557084721158 568453797100 586404969640 598372418000 599694600680 611933266000 617178408280 629773886000 631257474400 636668252752 649661482400 670177108160 685365257920 705346752320 710567246375 733006212050 749618250850 756043550143 771473010350 789071843000 795835315940 812076853000 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24687136331200 26461524255005 27001555362250 27854236057900 29320248482000 29984730034000 30241742005720 30858920414000 31833412637600 34561990863680 34817795072375 37802177507150 39791765797000 42338438808008 43202488579600 44566777692640 45476303768000 48386787209152 52923048510010 54003110724500 55708472115800 58640496964000 59969460068000 60483484011440 61717840828000 63666825275200 69635590144750 75604355014300 79583531594000 84676877616016 86404977159200 89133555385280 94505443767875 105846097020020 108006221449000 111416944231600 117280993928000 119938920136000 120966968022880 123435681656000 132307621275025 139271180289500 151208710028600 159167063188000 169353755232032 172809954318400 189010887535750 211692194040040 216012442898000 222833888463200 241933936045760 264615242550050 278542360579000 302417420057200 318334126376000 338707510464064 378021775071500 423384388080080 432024885796000 445667776926400 529230485100100 557084721158000 604834840114400 661538106375125 756043550143000 846768776160160 864049771592000 1058460970200200 1114169442316000 1209669680228800 1323076212750250 1512087100286000 1693537552320320 2116921940400400 2228338884632000 2646152425500500 3024174200572000 4233843880800800 5292304851001000 6048348401144000 8467687761601600 10584609702002000 21169219404004000 42338438808008000
- Sum of all divisors σ(n): 129470027475362652
- Sum of proper divisors (its aliquot sum) s(n): 87131588667354652
- 42338438808008000 is an abundant number, because the sum of its proper divisors (87131588667354652) is greater than itself. Its abundance is 44793149859346652
Bases of 42338438808008000
- Binary: 100101100110101010010101111101010111111011110101010000002
- Hexadecimal: 0x966A95F57EF540
- Base-36: BKVQ2A06X4W
Squares and roots of 42338438808008000
- 42338438808008000 squared (423384388080080002) is 1792543400699437875884928064000000
- 42338438808008000 cubed (423384388080080003) is 75893489081211715255357121190152987136512000000000
-
The
square root of 42338438808008000 is 205763064.7322497477 -
The
cube root of 42338438808008000 is 348533.8363046135
Scales and comparisons
How big is 42338438808008000?- 42,338,438,808,008,000 seconds is equal to 1,346,231,392 years, 36 weeks, 4 days, 12 hours, 53 minutes, 20 seconds.
-
To count from 1 to 42,338,438,808,008,000 would take you about four billion, thirty-eight million, six hundred ninety-four thousand, one hundred seventy-eight 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 42338438808008000 cubic inches would be around 29044.5 feet tall.
Recreational maths with 42338438808008000
- 42338438808008000 backwards is 00080080883483324
- The number of decimal digits it has is: 17
- The sum of 42338438808008000's digits is 59
- More coming soon!
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Cite this page
MLA style:
"Number 42338438808008000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 42338438808008000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42338438808008000/
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The information we have on file for 42338438808008000 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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