384838561140115968
384,838,561,140,115,968 is an even composite number composed of five prime numbers multiplied together.
384838561140115968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 384838561140115968:
29 × 32 × 31 × 251 × 10733236441
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 31 × 251 × 10733236441)See below for interesting mathematical facts about the number 384838561140115968 from the Numbermatics database.
Names of 384838561140115968
- Cardinal: 384838561140115968 can be written as Three hundred eighty-four quadrillion, eight hundred thirty-eight trillion, five hundred sixty-one billion, one hundred forty million, one hundred fifteen thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 3.84838561140115968 × 1017
Factors of 384838561140115968
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 10733236728
Divisors of 384838561140115968
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 251 256 279 288 372 384 496 502 512 558 576 744 753 768 992 1004 1116 1152 1488 1506 1536 1984 2008 2232 2259 2304 2976 3012 3968 4016 4464 4518 4608 5952 6024 7781 7936 8032 8928 9036 11904 12048 15562 15872 16064 17856 18072 23343 23808 24096 31124 32128 35712 36144 46686 47616 48192 62248 64256 70029 71424 72288 93372 96384 124496 128512 140058 142848 144576 186744 192768 248992 280116 289152 373488 385536 497984 560232 578304 746976 995968 1120464 1156608 1493952 1991936 2240928 2987904 3983872 4481856 5975808 8963712 11951616 17927424 35854848 10733236441 21466472882 32199709323 42932945764 64399418646 85865891528 96599127969 128798837292 171731783056 193198255938 257597674584 332730329671 343463566112 386396511876 515195349168 665460659342 686927132224 772793023752 998190989013 1030390698336 1330921318684 1373854264448 1545586047504 1996381978026 2060781396672 2661842637368 2694042346691 2747708528896 2994572967039 3091172095008 3992763956052 4121562793344 5323685274736 5388084693382 5495417057792 5989145934078 6182344190016 7985527912104 8082127040073 8243125586688 10647370549472 10776169386764 11978291868156 12364688380032 15971055824208 16164254080146 16486251173376 21294741098944 21552338773528 23956583736312 24246381120219 24729376760064 31942111648416 32328508160292 42589482197888 43104677547056 47913167472624 48492762240438 49458753520128 63884223296832 64657016320584 83515312747421 85178964395776 86209355094112 95826334945248 96985524480876 127768446593664 129314032641168 167030625494842 170357928791552 172418710188224 191652669890496 193971048961752 250545938242263 255536893187328 258628065282336 334061250989684 344837420376448 383305339780992 387942097923504 501091876484526 511073786374656 517256130564672 668122501979368 689674840752896 751637814726789 766610679561984 775884195847008 1002183752969052 1034512261129344 1336245003958736 1379349681505792 1503275629453578 1533221359123968 1551768391694016 2004367505938104 2069024522258688 2672490007917472 3006551258907156 3103536783388032 4008735011876208 4138049044517376 5344980015834944 6013102517814312 6207073566776064 8017470023752416 10689960031669888 12026205035628624 12414147133552128 16034940047504832 21379920063339776 24052410071257248 32069880095009664 42759840126679552 48104820142514496 64139760190019328 96209640285028992 128279520380038656 192419280570057984 384838561140115968
- Sum of all divisors σ(n): 1151065935469562112
- Sum of proper divisors (its aliquot sum) s(n): 766227374329446144
- 384838561140115968 is an abundant number, because the sum of its proper divisors (766227374329446144) is greater than itself. Its abundance is 381388813189330176
Bases of 384838561140115968
- Binary: 101010101110011100010100001111001001010000100001010000000002
- Hexadecimal: 0x55738A1E4A10A00
- Base-36: 2X99VUC9MKG0
Squares and roots of 384838561140115968
- 384838561140115968 squared (3848385611401159682) is 148100718140394776016116580488577024
- 384838561140115968 cubed (3848385611401159683) is 56994867272967397057696191587106017129829346660319232
-
The
square root of 384838561140115968 is 620353577.5185921889 -
The
cube root of 384838561140115968 is 727376.9381339147
Scales and comparisons
How big is 384838561140115968?- 384,838,561,140,115,968 seconds is equal to 12,236,675,860 years, 22 weeks, 1 day, 18 hours, 52 minutes, 48 seconds.
-
To count from 1 to 384,838,561,140,115,968 would take you about thirty-six billion, seven hundred ten million, twenty-seven thousand, five hundred eighty-one 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 384838561140115968 cubic inches would be around 60614.7 feet tall.
Recreational maths with 384838561140115968
- 384838561140115968 backwards is 869511041165838483
- The number of decimal digits it has is: 18
- The sum of 384838561140115968's digits is 81
- More coming soon!
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