506342753138000
506,342,753,138,000 is an even composite number composed of six prime numbers multiplied together.
506342753138000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 506342753138000:
24 × 53 × 31 × 37 × 421 × 524287
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 37 × 421 × 524287)See below for interesting mathematical facts about the number 506342753138000 from the Numbermatics database.
Names of 506342753138000
- Cardinal: 506342753138000 can be written as Five hundred six trillion, three hundred forty-two billion, seven hundred fifty-three million, one hundred thirty-eight thousand.
Scientific notation
- Scientific notation: 5.06342753138 × 1014
Factors of 506342753138000
Divisors of 506342753138000
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 37 40 50 62 74 80 100 124 125 148 155 185 200 248 250 296 310 370 400 421 496 500 592 620 740 775 842 925 1000 1147 1240 1480 1550 1684 1850 2000 2105 2294 2480 2960 3100 3368 3700 3875 4210 4588 4625 5735 6200 6736 7400 7750 8420 9176 9250 10525 11470 12400 13051 14800 15500 15577 16840 18352 18500 21050 22940 26102 28675 31000 31154 33680 37000 42100 45880 52204 52625 57350 62000 62308 65255 74000 77885 84200 91760 104408 105250 114700 124616 130510 143375 155770 168400 208816 210500 229400 249232 261020 286750 311540 326275 389425 421000 458800 482887 522040 524287 573500 623080 652550 778850 842000 965774 1044080 1048574 1147000 1246160 1305100 1557700 1631375 1931548 1947125 2097148 2294000 2414435 2610200 2621435 3115400 3262750 3863096 3894250 4194296 4828870 5220400 5242870 6230800 6525500 7726192 7788500 8388592 9657740 10485740 12072175 13051000 13107175 15577000 16252897 19315480 19398619 20971480 24144350 26102000 26214350 31154000 32505794 38630960 38797238 41942960 48288700 52428700 60360875 65011588 65535875 77594476 81264485 96577400 96993095 104857400 120721750 130023176 131071750 155188952 162528970 193154800 193986190 209714800 220724827 241443500 260046352 262143500 310377904 325057940 387972380 406322425 441449654 482887000 484965475 524287000 601357189 650115880 775944760 812644850 882899308 965774000 969930950 1048574000 1103624135 1202714378 1300231760 1551889520 1625289700 1765798616 1939861900 2031612125 2207248270 2405428756 2424827375 3006785945 3250579400 3531597232 3879723800 4063224250 4414496540 4810857512 4849654750 5518120675 6013571890 6501158800 6842469637 7759447600 8126448500 8166818599 8828993080 9621715024 9699309500 11036241350 12027143780 13684939274 15033929725 16252897000 16333637198 17657986160 19398619000 22072482700 24054287560 27369878548 27590603375 30067859450 32505794000 32667274396 34212348185 38797238000 40834092995 44144965400 48108575120 54739757096 55181206750 60135718900 65334548792 68424696370 75169648625 81668185990 88289930800 109479514192 110362413500 120271437800 130669097584 136849392740 150339297250 163336371980 171061740925 204170464975 220724827000 240542875600 253171376569 273698785480 300678594500 326672743960 342123481850 408340929950 441449654000 506342753138 547397570960 601357189000 653345487920 684246963700 816681859900 855308704625 1012685506276 1020852324875 1202714378000 1265856882845 1368493927400 1633363719800 1710617409250 2025371012552 2041704649750 2531713765690 2736987854800 3266727439600 3421234818500 4050742025104 4083409299500 5063427531380 6329284414225 6842469637000 8166818599000 10126855062760 12658568828450 13684939274000 16333637198000 20253710125520 25317137656900 31646422071125 50634275313800 63292844142250 101268550627600 126585688284500 253171376569000 506342753138000
- Sum of all divisors σ(n): 1301074711412736
- Sum of proper divisors (its aliquot sum) s(n): 794731958274736
- 506342753138000 is an abundant number, because the sum of its proper divisors (794731958274736) is greater than itself. Its abundance is 288389205136736
Bases of 506342753138000
- Binary: 11100110010000100000110111110111101110101010100002
- Hexadecimal: 0x1CC841BEF7550
- Base-36: 4ZHENDU3BK
Squares and roots of 506342753138000
- 506342753138000 squared (5063427531380002) is 256382983655369608847044000000
- 506342753138000 cubed (5063427531380003) is 129817665801794702720586420893024072000000000
-
The
square root of 506342753138000 is 22502061.0864427263 -
The
cube root of 506342753138000 is 79704.2597947683
Scales and comparisons
How big is 506342753138000?- 506,342,753,138,000 seconds is equal to 16,100,133 years, 17 weeks, 16 hours, 33 minutes, 20 seconds.
-
To count from 1 to 506,342,753,138,000 would take you about forty million, two hundred fifty thousand, three hundred thirty-three 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 506342753138000 cubic inches would be around 6642 feet tall.
Recreational maths with 506342753138000
- 506342753138000 backwards is 000831357243605
- The number of decimal digits it has is: 15
- The sum of 506342753138000's digits is 47
- More coming soon!
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