138166004579705418720
138,166,004,579,705,418,720 is an even composite number composed of seven prime numbers multiplied together.
138166004579705418720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138166004579705418720:
25 × 3 × 5 × 67 × 277 × 1733 × 8949665987
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 67 × 277 × 1733 × 8949665987)See below for interesting mathematical facts about the number 138166004579705418720 from the Numbermatics database.
Names of 138166004579705418720
- Cardinal: 138166004579705418720 can be written as One hundred thirty-eight quintillion, one hundred sixty-six quadrillion, four trillion, five hundred seventy-nine billion, seven hundred five million, four hundred eighteen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3816600457970541872 × 1020
Factors of 138166004579705418720
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 8949668074
Divisors of 138166004579705418720
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 67 80 96 120 134 160 201 240 268 277 335 402 480 536 554 670 804 831 1005 1072 1108 1340 1385 1608 1662 1733 2010 2144 2216 2680 2770 3216 3324 3466 4020 4155 4432 5199 5360 5540 6432 6648 6932 8040 8310 8665 8864 10398 10720 11080 13296 13864 16080 16620 17330 18559 20796 22160 25995 26592 27728 32160 33240 34660 37118 41592 44320 51990 55456 55677 66480 69320 74236 83184 92795 103980 111354 116111 132960 138640 148472 166368 185590 207960 222708 232222 277280 278385 296944 348333 371180 415920 445416 464444 480041 556770 580555 593888 696666 742360 831840 890832 928888 960082 1113540 1161110 1393332 1440123 1484720 1741665 1781664 1857776 1920164 2227080 2322220 2400205 2786664 2880246 2969440 3483330 3715552 3840328 4454160 4644440 4800410 5573328 5760492 6966660 7200615 7680656 8908320 9288880 9600820 11146656 11520984 13933320 14401230 15361312 18577760 19201640 23041968 27866640 28802460 32162747 38403280 46083936 55733280 57604920 64325494 76806560 96488241 115209840 128650988 160813735 192976482 230419680 257301976 321627470 385952964 482441205 514603952 643254940 771905928 964882410 1029207904 1286509880 1543811856 1929764820 2573019760 3087623712 3859529640 5146039520 7719059280 8949665987 15438118560 17899331974 26848997961 35798663948 44748329935 53697995922 71597327896 89496659870 107395991844 134244989805 143194655792 178993319740 214791983688 268489979610 286389311584 357986639480 429583967376 536979959220 599627621129 715973278960 859167934752 1073959918440 1199255242258 1431946557920 1798882863387 2147919836880 2398510484516 2479057478399 2998138105645 3597765726774 4295839673760 4797020969032 4958114956798 5996276211290 7195531453548 7437172435197 8994414316935 9594041938064 9916229913596 11992552422580 12395287391995 14391062907096 14874344870394 15509771155471 17988828633870 19188083876128 19832459827192 23985104845160 24790574783990 28782125814192 29748689740788 31019542310942 35977657267740 37185862175985 39664919654384 46529313466413 47970209690320 49581149567980 57564251628384 59497379481576 62039084621884 71955314535480 74371724351970 77548855777355 79329839308768 93058626932826 95940419380640 99162299135960 118994758963152 124078169243768 143910629070960 148743448703940 155097711554710 166096851052733 186117253865652 198324598271920 232646567332065 237989517926304 248156338487536 287821258141920 297486897407880 310195423109420 332193702105466 372234507731304 396649196543840 465293134664130 496312676975072 498290553158199 594973794815760 620390846218840 664387404210932 744469015462608 830484255263665 930586269328260 996581106316398 1039154667416557 1189947589631520 1240781692437680 1328774808421864 1488938030925216 1660968510527330 1861172538656520 1993162212632796 2078309334833114 2481563384875360 2491452765790995 2657549616843728 3117464002249671 3321937021054660 3722345077313040 3986324425265592 4156618669666228 4296206610065467 4982905531581990 5195773337082785 5315099233687456 6234928004499342 6643874042109320 7444690154626080 7972648850531184 8313237339332456 8592413220130934 9965811063163980 10391546674165570 12469856008998684 12888619830196401 13287748084218640 15587320011248355 15945297701062368 16626474678664912 17184826440261868 19931622126327960 20783093348331140 21481033050327335 24939712017997368 25777239660392802 26575496168437280 31174640022496710 33252949357329824 34369652880523736 39863244252655920 41566186696662280 42962066100654670 49879424035994736 51554479320785604 62349280044993420 64443099150982005 68739305761047472 79726488505311840 83132373393324560 85924132201309340 99758848071989472 103108958641571208 124698560089986840 128886198301964010 137478611522094944 166264746786649120 171848264402618680 206217917283142416 249397120179973680 257772396603928020 287845842874386289 343696528805237360 412435834566284832 498794240359947360 515544793207856040 575691685748772578 687393057610474720 863537528623158867 1031089586415712080 1151383371497545156 1439229214371931445 1727075057246317734 2062179172831424160 2302766742995090312 2878458428743862890 3454150114492635468 4317687643115794335 4605533485990180624 5756916857487725780 6908300228985270936 8635375286231588670 9211066971980361248 11513833714975451560 13816600457970541872 17270750572463177340 23027667429950903120 27633200915941083744 34541501144926354680 46055334859901806240 69083002289852709360 138166004579705418720
- Sum of all divisors σ(n): 443569238443731810816
- Sum of proper divisors (its aliquot sum) s(n): 305403233864026392096
- 138166004579705418720 is an abundant number, because the sum of its proper divisors (305403233864026392096) is greater than itself. Its abundance is 167237229284320973376
Bases of 138166004579705418720
- Binary: 11101111101011100000100000100100001011000000101010111110011111000002
- Hexadecimal: 0x77D7041216055F3E0
- Base-36: T5PXSZYT4XOTC
Squares and roots of 138166004579705418720
- 138166004579705418720 squared (1381660045797054187202) is 19089844821519178739436762253330526438400
- 138166004579705418720 cubed (1381660045797054187203) is 2637567587035884621348333828896424568238143697130702286848000
-
The
square root of 138166004579705418720 is 11754403625.0124327063 -
The
cube root of 138166004579705418720 is 5169720.5318133551
Scales and comparisons
How big is 138166004579705418720?- 138,166,004,579,705,418,720 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 138,166,004,579,705,418,720 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 138166004579705418720 cubic inches would be around 430810 feet tall.
Recreational maths with 138166004579705418720
- 138166004579705418720 backwards is 027814507975400661831
- The number of decimal digits it has is: 21
- The sum of 138166004579705418720's digits is 84
- More coming soon!
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The information we have on file for 138166004579705418720 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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