38130022517731200
38,130,022,517,731,200 is an even composite number composed of five prime numbers multiplied together.
38130022517731200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 38130022517731200:
27 × 32 × 52 × 7 × 189137016457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 189137016457)See below for interesting mathematical facts about the number 38130022517731200 from the Numbermatics database.
Names of 38130022517731200
- Cardinal: 38130022517731200 can be written as Thirty-eight quadrillion, one hundred thirty trillion, twenty-two billion, five hundred seventeen million, seven hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 3.81300225177312 × 1016
Factors of 38130022517731200
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 189137016474
Divisors of 38130022517731200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 126 128 140 144 150 160 168 175 180 192 200 210 224 225 240 252 280 288 300 315 320 336 350 360 384 400 420 448 450 480 504 525 560 576 600 630 640 672 700 720 800 840 896 900 960 1008 1050 1120 1152 1200 1260 1344 1400 1440 1575 1600 1680 1800 1920 2016 2100 2240 2400 2520 2688 2800 2880 3150 3200 3360 3600 4032 4200 4480 4800 5040 5600 5760 6300 6720 7200 8064 8400 9600 10080 11200 12600 13440 14400 16800 20160 22400 25200 28800 33600 40320 50400 67200 100800 201600 189137016457 378274032914 567411049371 756548065828 945685082285 1134822098742 1323959115199 1513096131656 1702233148113 1891370164570 2269644197484 2647918230398 2837055246855 3026192263312 3404466296226 3782740329140 3971877345597 4539288394968 4728425411425 5295836460796 5674110493710 6052384526624 6619795575995 6808932592452 7565480658280 7943754691194 8511165740565 9078576789936 9456850822850 10591672921592 11348220987420 11915632036791 12104769053248 13239591151990 13617865184904 14185276234275 15130961316560 15887509382388 17022331481130 18157153579872 18913701645700 19859386727985 21183345843184 22696441974840 23831264073582 24209538106496 26479182303980 27235730369808 28370552468550 30261922633120 31775018764776 33098977879975 34044662962260 36314307159744 37827403291400 39718773455970 42366691686368 42555828702825 45392883949680 47662528147164 52958364607960 54471460739616 56741104937100 59578160183955 60523845266240 63550037529552 66197955759950 68089325924520 72628614319488 75654806582800 79437546911940 84733383372736 85111657405650 90785767899360 95325056294328 99296933639925 105916729215920 108942921479232 113482209874200 119156320367910 121047690532480 127100075059104 132395911519900 136178651849040 151309613165600 158875093823880 169466766745472 170223314811300 181571535798720 190650112588656 198593867279850 211833458431840 217885842958464 226964419748400 238312640735820 254200150118208 264791823039800 272357303698080 297890800919775 302619226331200 317750187647760 340446629622600 363143071597440 381300225177312 397187734559700 423666916863680 453928839496800 476625281471640 508400300236416 529583646079600 544714607396160 595781601839550 605238452662400 635500375295520 680893259245200 762600450354624 794375469119400 847333833727360 907857678993600 953250562943280 1059167292159200 1089429214792320 1191563203679100 1271000750591040 1361786518490400 1525200900709248 1588750938238800 1815715357987200 1906501125886560 2118334584318400 2383126407358200 2542001501182080 2723573036980800 3177501876477600 3813002251773120 4236669168636800 4766252814716400 5447146073961600 6355003752955200 7626004503546240 9532505629432800 12710007505910400 19065011258865600 38130022517731200
- Sum of all divisors σ(n): 155493323970450960
- Sum of proper divisors (its aliquot sum) s(n): 117363301452719760
- 38130022517731200 is an abundant number, because the sum of its proper divisors (117363301452719760) is greater than itself. Its abundance is 79233278934988560
Bases of 38130022517731200
- Binary: 100001110111011100001101101011110111001001101111100000002
- Hexadecimal: 0x87770DAF726F80
- Base-36: AFFYQIV1SW0
Squares and roots of 38130022517731200
- 38130022517731200 squared (381300225177312002) is 1453898617202688360218395453440000
- 38130022517731200 cubed (381300225177312003) is 55437187012436761396959831406269315864035328000000
-
The
square root of 38130022517731200 is 195269102.8241057905 -
The
cube root of 38130022517731200 is 336580.5537340579
Scales and comparisons
How big is 38130022517731200?- 38,130,022,517,731,200 seconds is equal to 1,212,416,772 years, 8 weeks, 2 days, 8 hours.
-
To count from 1 to 38,130,022,517,731,200 would take you about three billion, six hundred thirty-seven million, two hundred fifty thousand, three hundred sixteen 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 38130022517731200 cubic inches would be around 28048.4 feet tall.
Recreational maths with 38130022517731200
- 38130022517731200 backwards is 00213771522003183
- 38130022517731200 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 38130022517731200's digits is 45
- 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 38130022517731200 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 38130022517731200 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/38130022517731200/
Chicago style:
Numbermatics. 2024. "Number 38130022517731200 - Facts about the integer". https://numbermatics.com/n/38130022517731200/
The information we have on file for 38130022517731200 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 38130022517731200, math, Factors of 38130022517731200, curriculum, school, college, exams, university, Prime factorization of 38130022517731200, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quadrillion, one hundred thirty trillion, twenty-two billion, five hundred seventeen million, seven hundred thirty-one thousand, two hundred.