134838457970649181440
134,838,457,970,649,181,440 is an even composite number composed of five prime numbers multiplied together.
134838457970649181440 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 134838457970649181440:
28 × 3 × 5 × 31 × 1132715540748061
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 1132715540748061)See below for interesting mathematical facts about the number 134838457970649181440 from the Numbermatics database.
Names of 134838457970649181440
- Cardinal: 134838457970649181440 can be written as One hundred thirty-four quintillion, eight hundred thirty-eight quadrillion, four hundred fifty-seven trillion, nine hundred seventy billion, six hundred forty-nine million, one hundred eighty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3483845797064918144 × 1020
Factors of 134838457970649181440
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1132715540748102
Divisors of 134838457970649181440
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11904 14880 19840 23808 29760 39680 59520 119040 1132715540748061 2265431081496122 3398146622244183 4530862162992244 5663577703740305 6796293244488366 9061724325984488 11327155407480610 13592586488976732 16990733111220915 18123448651968976 22654310814961220 27185172977953464 33981466222441830 35114181763189891 36246897303937952 45308621629922440 54370345955906928 67962932444883660 70228363526379782 72493794607875904 90617243259844880 105342545289569673 108740691911813856 135925864889767320 140456727052759564 144987589215751808 175570908815949455 181234486519689760 210685090579139346 217481383823627712 271851729779534640 280913454105519128 289975178431503616 351141817631898910 362468973039379520 421370181158278692 434962767647255424 526712726447848365 543703459559069280 561826908211038256 702283635263797820 724937946078759040 842740362316557384 869925535294510848 1053425452895696730 1087406919118138560 1123653816422076512 1404567270527595640 1449875892157518080 1685480724633114768 2106850905791393460 2174813838236277120 2247307632844153024 2809134541055191280 3370961449266229536 4213701811582786920 4349627676472554240 4494615265688306048 5618269082110382560 6741922898532459072 8427403623165573840 8989230531376612096 11236538164220765120 13483845797064918144 16854807246331147680 22473076328441530240 26967691594129836288 33709614492662295360 44946152656883060480 67419228985324590720 134838457970649181440
- Sum of all divisors σ(n): 444531948535495435776
- Sum of proper divisors (its aliquot sum) s(n): 309693490564846254336
- 134838457970649181440 is an abundant number, because the sum of its proper divisors (309693490564846254336) is greater than itself. Its abundance is 174855032594197072896
Bases of 134838457970649181440
- Binary: 11101001111010000100110111100011110100110011111101110101101000000002
- Hexadecimal: 0x74F426F1E99FBAD00
- Base-36: SGFTG65X0AUIO
Squares and roots of 134838457970649181440
- 134838457970649181440 squared (1348384579706491814402) is 18181409747902525769525109590142040473600
- 134838457970649181440 cubed (1348384579706491814403) is 2451553254139706050392326794988708869489438714231189929984000
-
The
square root of 134838457970649181440 is 11611996295.6698010411 -
The
cube root of 134838457970649181440 is 5127880.8530767293
Scales and comparisons
How big is 134838457970649181440?- 134,838,457,970,649,181,440 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 134,838,457,970,649,181,440 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 134838457970649181440 cubic inches would be around 427323.4 feet tall.
Recreational maths with 134838457970649181440
- 134838457970649181440 backwards is 044181946079754838431
- 134838457970649181440 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 134838457970649181440's digits is 96
- More coming soon!
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