40490125999815949200
40,490,125,999,815,949,200 is an even composite number composed of five prime numbers multiplied together.
40490125999815949200 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 40490125999815949200:
24 × 33 × 52 × 59 × 63543826113961
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 59 × 63543826113961)See below for interesting mathematical facts about the number 40490125999815949200 from the Numbermatics database.
Names of 40490125999815949200
- Cardinal: 40490125999815949200 can be written as Forty quintillion, four hundred ninety quadrillion, one hundred twenty-five trillion, nine hundred ninety-nine billion, eight hundred fifteen million, nine hundred forty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.04901259998159492 × 1019
Factors of 40490125999815949200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 63543826114030
Divisors of 40490125999815949200
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 59 60 72 75 80 90 100 108 118 120 135 144 150 177 180 200 216 225 236 240 270 295 300 354 360 400 432 450 472 531 540 590 600 675 708 720 885 900 944 1062 1080 1180 1200 1350 1416 1475 1593 1770 1800 2124 2160 2360 2655 2700 2832 2950 3186 3540 3600 4248 4425 4720 5310 5400 5900 6372 7080 7965 8496 8850 10620 10800 11800 12744 13275 14160 15930 17700 21240 23600 25488 26550 31860 35400 39825 42480 53100 63720 70800 79650 106200 127440 159300 212400 318600 637200 63543826113961 127087652227922 190631478341883 254175304455844 317719130569805 381262956683766 508350608911688 571894435025649 635438261139610 762525913367532 953157391709415 1016701217823376 1143788870051298 1270876522279220 1525051826735064 1588595652849025 1715683305076947 1906314783418830 2287577740102596 2541753044558440 2859472175128245 3050103653470128 3177191305698050 3431366610153894 3749085740723699 3812629566837660 4575155480205192 4765786958547075 5083506089116880 5718944350256490 6354382611396100 6862733220307788 7498171481447398 7625259133675320 8578416525384735 9150310960410384 9531573917094150 11247257222171097 11437888700512980 12708765222792200 13725466440615576 14297360875641225 14996342962894796 15250518267350640 17156833050769470 18745428703618495 19063147834188300 22494514444342194 22875777401025960 25417530445584400 27450932881231152 28594721751282450 29992685925789592 33741771666513291 34313666101538940 37490857407236990 38126295668376600 42892082626923675 44989028888684388 45751554802051920 56236286110855485 57189443502564900 59985371851579184 67483543333026582 68627332203077880 74981714814473980 76252591336753200 85784165253847350 89978057777368776 93727143518092475 101225314999539873 112472572221710970 114378887005129800 134967086666053164 137254664406155760 149963429628947960 168708858332566455 171568330507694700 179956115554737552 187454287036184950 202450629999079746 224945144443421940 228757774010259600 269934173332106328 281181430554277425 299926859257895920 337417716665132910 343136661015389400 374908574072369900 404901259998159492 449890288886843880 506126574997699365 539868346664212656 562362861108554850 674835433330265820 686273322030778800 749817148144739800 809802519996318984 843544291662832275 899780577773687760 1012253149995398730 1124725722217109700 1349670866660531640 1499634296289479600 1619605039992637968 1687088583325664550 2024506299990797460 2249451444434219400 2530632874988496825 2699341733321063280 3374177166651329100 4049012599981594920 4498902888868438800 5061265749976993650 6748354333302658200 8098025199963189840 10122531499953987300 13496708666605316400 20245062999907974600 40490125999815949200
- Sum of all divisors σ(n): 146557480549241956800
- Sum of proper divisors (its aliquot sum) s(n): 106067354549426007600
- 40490125999815949200 is an abundant number, because the sum of its proper divisors (106067354549426007600) is greater than itself. Its abundance is 65577228549610058400
Bases of 40490125999815949200
- Binary: 1000110001111010011101001100010010001010011101011001111011100100002
- Hexadecimal: 0x231E9D31229D67B90
- Base-36: 8JMHZRRUH77O0
Squares and roots of 40490125999815949200
- 40490125999815949200 squared (404901259998159492002) is 1639450303480971519835232274696980640000
- 40490125999815949200 cubed (404901259998159492003) is 66381549358381033300624138448744467564816840955623488000000
-
The
square root of 40490125999815949200 is 6363185208.6683717083 -
The
cube root of 40490125999815949200 is 3433863.6208124617
Scales and comparisons
How big is 40490125999815949200?- 40,490,125,999,815,949,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 40,490,125,999,815,949,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 40490125999815949200 cubic inches would be around 286155.3 feet tall.
Recreational maths with 40490125999815949200
- 40490125999815949200 backwards is 00294951899952109404
- 40490125999815949200 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 40490125999815949200's digits is 90
- More coming soon!
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