505142431432704
505,142,431,432,704 is an even composite number composed of six prime numbers multiplied together.
What does the number 505142431432704 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2700 divisors.
505142431432704 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 505142431432704:
214 × 34 × 132 × 17 × 192 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 17 × 19 × 19 × 367)See below for interesting mathematical facts about the number 505142431432704 from the Numbermatics database.
Names of 505142431432704
- Cardinal: 505142431432704 can be written as Five hundred five trillion, one hundred forty-two billion, four hundred thirty-one million, four hundred thirty-two thousand, seven hundred four.
Scientific notation
- Scientific notation: 5.05142431432704 × 1014
Factors of 505142431432704
Divisors of 505142431432704
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 27 32 34 36 38 39 48 51 52 54 57 64 68 72 76 78 81 96 102 104 108 114 117 128 136 144 152 153 156 162 169 171 192 204 208 216 221 228 234 247 256 272 288 304 306 312 323 324 338 342 351 361 367 384 408 416 432 442 456 459 468 494 507 512 513 544 576 608 612 624 646 648 663 676 684 702 722 734 741 768 816 832 864 884 912 918 936 969 988 1014 1024 1026 1053 1083 1088 1101 1152 1216 1224 1248 1292 1296 1326 1352 1368 1377 1404 1444 1468 1482 1521 1536 1539 1632 1664 1728 1768 1824 1836 1872 1938 1976 1989 2028 2048 2052 2106 2166 2176 2202 2223 2304 2432 2448 2496 2584 2592 2652 2704 2736 2754 2808 2873 2888 2907 2936 2964 3042 3072 3078 3211 3249 3264 3303 3328 3456 3536 3648 3672 3744 3876 3952 3978 4056 4096 4104 4199 4212 4332 4352 4404 4446 4563 4608 4693 4771 4864 4896 4992 5168 5184 5304 5408 5472 5508 5616 5746 5776 5814 5872 5928 5967 6084 6137 6144 6156 6239 6422 6498 6528 6606 6656 6669 6912 6973 7072 7296 7344 7488 7752 7904 7956 8112 8192 8208 8398 8424 8619 8664 8704 8721 8808 8892 9126 9216 9386 9542 9633 9728 9747 9792 9909 9984 10336 10368 10608 10816 10944 11016 11232 11492 11552 11628 11744 11856 11934 12168 12274 12288 12312 12478 12597 12844 12996 13056 13212 13312 13338 13689 13824 13946 14079 14144 14313 14592 14688 14976 15504 15808 15912 16224 16384 16416 16796 16848 17238 17328 17408 17442 17616 17784 17901 18252 18411 18432 18717 18772 19084 19266 19456 19494 19584 19818 19968 20007 20672 20736 20919 21216 21632 21888 22032 22464 22984 23104 23256 23488 23712 23868 24336 24548 24576 24624 24956 25194 25688 25857 25992 26112 26163 26424 26624 26676 27378 27648 27892 28158 28288 28626 28899 29184 29241 29376 29727 29952 31008 31616 31824 32448 32832 33592 33696 34476 34656 34816 34884 35232 35568 35802 36504 36822 36864 37434 37544 37791 38168 38532 38912 38988 39168 39636 39936 40014 41344 41472 41838 42237 42432 42939 43264 43776 44064 44928 45968 46208 46512 46976 47424 47736 48672 49096 49152 49248 49912 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1477024653312 1494504235008 1559081578496 1563908456448 1619046254592 1650792259584 1661652734976 1753966775808 1857141292032 1973212622784 2045111058432 2158728339456 2215536979968 2285712359424 2338622367744 2428569381888 2476188389376 2630950163712 2954049306624 2989008470016 3118163156992 3238092509184 3301584519168 3323305469952 3507933551616 3714282584064 3946425245568 4317456678912 4431073959936 4677244735488 4857138763776 4952376778752 5261900327424 6236326313984 6476185018368 6646610939904 7015867103232 7428565168128 7892850491136 8862147919872 9354489470976 9714277527552 9904753557504 10523800654848 12952370036736 13293221879808 14031734206464 14857130336256 15785700982272 18708978941952 19428555055104 21047601309696 26586443759616 28063468412928 29714260672512 31571401964544 38857110110208 42095202619392 56126936825856 63142803929088 84190405238784 126285607858176 168380810477568 252571215716352 505142431432704
- Sum of all divisors σ(n): 1831126891565664
- Sum of proper divisors (its aliquot sum) s(n): 1325984460132960
- 505142431432704 is an abundant number, because the sum of its proper divisors (1325984460132960) is greater than itself. Its abundance is 820842028700256
Bases of 505142431432704
- Binary: 11100101101101100101000110010111111000000000000002
- Hexadecimal: 0x1CB6CA32FC000
- Base-36: 4Z2389A800
Squares and roots of 505142431432704
- 505142431432704 squared (5051424314327042) is 255168876033744062114080751616
- 505142431432704 cubed (5051424314327043) is 128896626465635706903426940854624616043249664
-
The
square root of 505142431432704 is 22475373.8886075929 -
The
cube root of 505142431432704 is 79641.2284125129
Scales and comparisons
How big is 505142431432704?- 505,142,431,432,704 seconds is equal to 16,061,966 years, 42 weeks, 1 day, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 505,142,431,432,704 would take you about forty million, one hundred fifty-four thousand, nine hundred seventeen 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 505142431432704 cubic inches would be around 6636.8 feet tall.
Recreational maths with 505142431432704
- 505142431432704 backwards is 407234134241505
- The number of decimal digits it has is: 15
- The sum of 505142431432704's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 505142431432704 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 505142431432704 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/505142431432704/
Chicago style:
Numbermatics. 2024. "Number 505142431432704 - Facts about the integer". https://numbermatics.com/n/505142431432704/
The information we have on file for 505142431432704 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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