42134816797630588800
42,134,816,797,630,588,800 is an even composite number composed of five prime numbers multiplied together.
42134816797630588800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42134816797630588800:
27 × 33 × 52 × 31 × 15731338410107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 31 × 15731338410107)See below for interesting mathematical facts about the number 42134816797630588800 from the Numbermatics database.
Names of 42134816797630588800
- Cardinal: 42134816797630588800 can be written as Forty-two quintillion, one hundred thirty-four quadrillion, eight hundred sixteen trillion, seven hundred ninety-seven billion, six hundred thirty million, five hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21348167976305888 × 1019
Factors of 42134816797630588800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 15731338410148
Divisors of 42134816797630588800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 128 135 144 150 155 160 180 186 192 200 216 225 240 248 270 279 288 300 310 320 360 372 384 400 432 450 465 480 496 540 558 576 600 620 640 675 720 744 775 800 837 864 900 930 960 992 1080 1116 1152 1200 1240 1350 1395 1440 1488 1550 1600 1674 1728 1800 1860 1920 1984 2160 2232 2325 2400 2480 2700 2790 2880 2976 3100 3200 3348 3456 3600 3720 3968 4185 4320 4464 4650 4800 4960 5400 5580 5760 5952 6200 6696 6975 7200 7440 8370 8640 8928 9300 9600 9920 10800 11160 11904 12400 13392 13950 14400 14880 16740 17280 17856 18600 19840 20925 21600 22320 24800 26784 27900 28800 29760 33480 35712 37200 41850 43200 44640 49600 53568 55800 59520 66960 74400 83700 86400 89280 99200 107136 111600 133920 148800 167400 178560 223200 267840 297600 334800 446400 535680 669600 892800 1339200 2678400 15731338410107 31462676820214 47194015230321 62925353640428 78656692050535 94388030460642 125850707280856 141582045690963 157313384101070 188776060921284 235970076151605 251701414561712 283164091381926 314626768202140 377552121842568 393283460252675 424746137072889 471940152303210 487671490713317 503402829123424 566328182763852 629253536404280 707910228454815 755104243685136 786566920505350 849492274145778 943880304606420 975342981426634 1006805658246848 1132656365527704 1179850380758025 1258507072808560 1415820456909630 1463014472139951 1510208487370272 1573133841010700 1698984548291556 1887760609212840 1950685962853268 2013611316493696 2123730685364445 2265312731055408 2359700761516050 2438357453566585 2517014145617120 2831640913819260 2926028944279902 3020416974740544 3146267682021400 3397969096583112 3539551142274075 3775521218425680 3901371925706536 4247461370728890 4389043416419853 4530625462110816 4719401523032100 4876714907133170 5034028291234240 5663281827638520 5852057888559804 6040833949481088 6292535364042800 6795938193166224 7079102284548150 7315072360699755 7551042436851360 7802743851413072 8494922741457780 8778086832839706 9061250924221632 9438803046064200 9753429814266340 10068056582468480 10618653426822225 11326563655277040 11704115777119608 12191787267832925 12585070728085600 13167130249259559 13591876386332448 14158204569096300 14630144721399510 15102084873702720 15605487702826144 16989845482915560 17556173665679412 18122501848443264 18877606092128400 19506859628532680 21237306853644450 21945217082099265 22653127310554080 23408231554239216 24383574535665850 25170141456171200 26334260498519118 27183752772664896 28316409138192600 29260289442799020 30204169747405440 31210975405652288 33979690965831120 35112347331358824 36575361803498775 37755212184256800 39013719257065360 42474613707288900 43890434164198530 45306254621108160 46816463108478432 48767149071331700 50340282912342400 52668520997038236 54367505545329792 56632818276385200 58520578885598040 62421950811304576 65835651246297795 67959381931662240 70224694662717648 73150723606997550 75510424368513600 78027438514130720 84949227414577800 87780868328397060 90612509242216320 93632926216956864 97534298142663400 105337041994076472 109726085410496325 113265636552770400 117041157771196080 131671302492595590 135918763863324480 140449389325435296 146301447213995100 151020848737027200 156054877028261440 169898454829155600 175561736656794120 187265852433913728 195068596285326800 210674083988152944 219452170820992650 226531273105540800 234082315542392160 263342604985191180 271837527726648960 280898778650870592 292602894427990200 312109754056522880 329178256231488975 339796909658311200 351123473313588240 390137192570653600 421348167976305888 438904341641985300 453062546211081600 468164631084784320 526685209970382360 561797557301741184 585205788855980400 658356512462977950 679593819316622400 702246946627176480 780274385141307200 842696335952611776 877808683283970600 936329262169568640 1053370419940764720 1170411577711960800 1316713024925955900 1359187638633244800 1404493893254352960 1560548770282614400 1685392671905223552 1755617366567941200 2106740839881529440 2340823155423921600 2633426049851911800 2808987786508705920 3511234733135882400 4213481679763058880 4681646310847843200 5266852099703823600 7022469466271764800 8426963359526117760 10533704199407647200 14044938932543529600 21067408398815294400 42134816797630588800
- Sum of all divisors σ(n): 159175974568836787200
- Sum of proper divisors (its aliquot sum) s(n): 117041157771206198400
- 42134816797630588800 is an abundant number, because the sum of its proper divisors (117041157771206198400) is greater than itself. Its abundance is 74906340973575609600
Bases of 42134816797630588800
- Binary: 1001001000101111001111000010100011001110101110111011100111100000002
- Hexadecimal: 0x248BCF0A33AEEE780
- Base-36: 8W4CA01QA19C0
Squares and roots of 42134816797630588800
- 42134816797630588800 squared (421348167976305888002) is 1775342786569892826333877789434685440000
- 42134816797630588800 cubed (421348167976305888003) is 74803743065117417550874242645904301606309606649987072000000
-
The
square root of 42134816797630588800 is 6491133706.6517578243 -
The
cube root of 42134816797630588800 is 3479741.9326187019
Scales and comparisons
How big is 42134816797630588800?- 42,134,816,797,630,588,800 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 42,134,816,797,630,588,800 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 42134816797630588800 cubic inches would be around 289978.5 feet tall.
Recreational maths with 42134816797630588800
- 42134816797630588800 backwards is 00888503679761843124
- 42134816797630588800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42134816797630588800's digits is 90
- More coming soon!
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The information we have on file for 42134816797630588800 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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