38097386878464000
38,097,386,878,464,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 38097386878464000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 416 divisors.
38097386878464000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 38097386878464000:
212 × 33 × 53 × 2755887361
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 2755887361)See below for interesting mathematical facts about the number 38097386878464000 from the Numbermatics database.
Names of 38097386878464000
- Cardinal: 38097386878464000 can be written as Thirty-eight quadrillion, ninety-seven trillion, three hundred eighty-six billion, eight hundred seventy-eight million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 3.8097386878464 × 1016
Factors of 38097386878464000
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 2755887371
Divisors of 38097386878464000
- Number of divisors d(n): 416
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 144 150 160 180 192 200 216 225 240 250 256 270 288 300 320 360 375 384 400 432 450 480 500 512 540 576 600 640 675 720 750 768 800 864 900 960 1000 1024 1080 1125 1152 1200 1280 1350 1440 1500 1536 1600 1728 1800 1920 2000 2048 2160 2250 2304 2400 2560 2700 2880 3000 3072 3200 3375 3456 3600 3840 4000 4096 4320 4500 4608 4800 5120 5400 5760 6000 6144 6400 6750 6912 7200 7680 8000 8640 9000 9216 9600 10240 10800 11520 12000 12288 12800 13500 13824 14400 15360 16000 17280 18000 18432 19200 20480 21600 23040 24000 25600 27000 27648 28800 30720 32000 34560 36000 36864 38400 43200 46080 48000 51200 54000 55296 57600 61440 64000 69120 72000 76800 86400 92160 96000 102400 108000 110592 115200 128000 138240 144000 153600 172800 184320 192000 216000 230400 256000 276480 288000 307200 345600 384000 432000 460800 512000 552960 576000 691200 768000 864000 921600 1152000 1382400 1536000 1728000 2304000 2764800 3456000 4608000 6912000 13824000 2755887361 5511774722 8267662083 11023549444 13779436805 16535324166 22047098888 24802986249 27558873610 33070648332 41338310415 44094197776 49605972498 55117747220 66141296664 68897184025 74408958747 82676620830 88188395552 99211944996 110235494440 124014931245 132282593328 137794368050 148817917494 165353241660 176376791104 198423889992 206691552075 220470988880 248029862490 264565186656 275588736100 297635834988 330706483320 344485920125 352753582208 372044793735 396847779984 413383104150 440941977760 496059724980 529130373312 551177472200 595271669976 620074656225 661412966640 688971840250 705507164416 744089587470 793695559968 826766208300 881883955520 992119449960 1033457760375 1058260746624 1102354944400 1190543339952 1240149312450 1322825933280 1377943680500 1411014328832 1488179174940 1587391119936 1653532416600 1763767911040 1860223968675 1984238899920 2066915520750 2116521493248 2204709888800 2381086679904 2480298624900 2645651866560 2755887361000 2822028657664 2976358349880 3100373281125 3174782239872 3307064833200 3527535822080 3720447937350 3968477799840 4133831041500 4233042986496 4409419777600 4762173359808 4960597249800 5291303733120 5511774722000 5644057315328 5952716699760 6200746562250 6349564479744 6614129666400 7055071644160 7440895874700 7936955599680 8267662083000 8466085972992 8818839555200 9301119843375 9524346719616 9921194499600 10582607466240 11023549444000 11288114630656 11905433399520 12401493124500 12699128959488 13228259332800 14110143288320 14881791749400 15873911199360 16535324166000 16932171945984 17637679110400 18602239686750 19048693439232 19842388999200 21165214932480 22047098888000 23810866799040 24802986249000 25398257918976 26456518665600 28220286576640 29763583498800 31747822398720 33070648332000 33864343891968 35275358220800 37204479373500 38097386878464 39684777998400 42330429864960 44094197776000 47621733598080 49605972498000 50796515837952 52913037331200 56440573153280 59527166997600 63495644797440 66141296664000 70550716441600 74408958747000 76194773756928 79369555996800 84660859729920 88188395552000 95243467196160 99211944996000 101593031675904 105826074662400 119054333995200 126991289594880 132282593328000 141101432883200 148817917494000 152389547513856 158739111993600 169321719459840 176376791104000 190486934392320 198423889992000 211652149324800 238108667990400 253982579189760 264565186656000 282202865766400 297635834988000 304779095027712 317478223987200 352753582208000 380973868784640 396847779984000 423304298649600 476217335980800 507965158379520 529130373312000 595271669976000 634956447974400 705507164416000 761947737569280 793695559968000 846608597299200 952434671961600 1058260746624000 1190543339952000 1269912895948800 1411014328832000 1523895475138560 1587391119936000 1904869343923200 2116521493248000 2381086679904000 2539825791897600 3174782239872000 3809738687846400 4233042986496000 4762173359808000 6349564479744000 7619477375692800 9524346719616000 12699128959488000 19048693439232000 38097386878464000
- Sum of all divisors σ(n): 140858473904566080
- Sum of proper divisors (its aliquot sum) s(n): 102761087026102080
- 38097386878464000 is an abundant number, because the sum of its proper divisors (102761087026102080) is greater than itself. Its abundance is 64663700147638080
Bases of 38097386878464000
- Binary: 100001110101100101011111000110111100001011110000000000002
- Hexadecimal: 0x87595F1BC2F000
- Base-36: AF4E9X222O0
Squares and roots of 38097386878464000
- 38097386878464000 squared (380973868784640002) is 1451410886967360961906999296000000
- 38097386878464000 cubed (380973868784640003) is 55294962080410133375998028322110485561344000000000
-
The
square root of 38097386878464000 is 195185519.1310666879 -
The
cube root of 38097386878464000 is 336484.4994422757
Scales and comparisons
How big is 38097386878464000?- 38,097,386,878,464,000 seconds is equal to 1,211,379,059 years, 40 weeks, 4 days.
-
To count from 1 to 38,097,386,878,464,000 would take you about three billion, six hundred thirty-four million, one hundred thirty-seven thousand, one hundred seventy-nine 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 38097386878464000 cubic inches would be around 28040.4 feet tall.
Recreational maths with 38097386878464000
- 38097386878464000 backwards is 00046487868379083
- The number of decimal digits it has is: 17
- The sum of 38097386878464000's digits is 81
- 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 38097386878464000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 38097386878464000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/38097386878464000/
Chicago style:
Numbermatics. 2024. "Number 38097386878464000 - Facts about the integer". https://numbermatics.com/n/38097386878464000/
The information we have on file for 38097386878464000 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 38097386878464000, math, Factors of 38097386878464000, curriculum, school, college, exams, university, Prime factorization of 38097386878464000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quadrillion, ninety-seven trillion, three hundred eighty-six billion, eight hundred seventy-eight million, four hundred sixty-four thousand.