138023543831040000
138,023,543,831,040,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138023543831040000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1755 divisors.
138023543831040000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred fifty-five divisors.
Prime factorization of 138023543831040000:
212 × 32 × 54 × 72 × 110572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 11057 × 11057)See below for interesting mathematical facts about the number 138023543831040000 from the Numbermatics database.
Names of 138023543831040000
- Cardinal: 138023543831040000 can be written as One hundred thirty-eight quadrillion, twenty-three trillion, five hundred forty-three billion, eight hundred thirty-one million, forty thousand.
Scientific notation
- Scientific notation: 1.3802354383104 × 1017
Factors of 138023543831040000
Divisors of 138023543831040000
- Number of divisors d(n): 1755
-
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 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 256 280 288 294 300 315 320 336 350 360 375 384 392 400 420 441 448 450 480 490 500 504 512 525 560 576 588 600 625 630 640 672 700 720 735 750 768 784 800 840 875 882 896 900 960 980 1000 1008 1024 1050 1120 1125 1152 1176 1200 1225 1250 1260 1280 1344 1400 1440 1470 1500 1536 1568 1575 1600 1680 1750 1764 1792 1800 1875 1920 1960 2000 2016 2048 2100 2205 2240 2250 2304 2352 2400 2450 2500 2520 2560 2625 2688 2800 2880 2940 3000 3072 3136 3150 3200 3360 3500 3528 3584 3600 3675 3750 3840 3920 4000 4032 4096 4200 4375 4410 4480 4500 4608 4704 4800 4900 5000 5040 5120 5250 5376 5600 5625 5760 5880 6000 6125 6144 6272 6300 6400 6720 7000 7056 7168 7200 7350 7500 7680 7840 7875 8000 8064 8400 8750 8820 8960 9000 9216 9408 9600 9800 10000 10080 10240 10500 10752 11025 11057 11200 11250 11520 11760 12000 12250 12288 12544 12600 12800 13125 13440 14000 14112 14336 14400 14700 15000 15360 15680 15750 16000 16128 16800 17500 17640 17920 18000 18375 18432 18816 19200 19600 20000 20160 20480 21000 21504 22050 22114 22400 22500 23040 23520 24000 24500 25088 25200 25600 26250 26880 28000 28224 28672 28800 29400 30000 30625 30720 31360 31500 32000 32256 33171 33600 35000 35280 35840 36000 36750 36864 37632 38400 39200 39375 40000 40320 42000 43008 44100 44228 44800 45000 46080 47040 48000 49000 50176 50400 51200 52500 53760 55125 55285 56000 56448 57600 58800 60000 61250 61440 62720 63000 64000 64512 66342 67200 70000 70560 71680 72000 73500 75264 76800 77399 78400 78750 80000 80640 84000 86016 88200 88456 89600 90000 91875 92160 94080 96000 98000 99513 100352 100800 102400 105000 107520 110250 110570 112000 112896 115200 117600 120000 122500 125440 126000 128000 129024 132684 134400 140000 141120 143360 144000 147000 150528 153600 154798 156800 157500 160000 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1380235438310400 1408403508480000 1437745248240000 1533594931456000 1643137426560000 1725294297888000 1840313917747200 1916993664320000 1971764911872000 2156617872360000 2190849902080000 2300392397184000 2464706139840000 2760470876620800 2816807016960000 2875490496480000 3067189862912000 3286274853120000 3450588595776000 3833987328640000 3943529823744000 4313235744720000 4600784794368000 4929412279680000 5520941753241600 5750980992960000 6572549706240000 6901177191552000 7667974657280000 8626471489440000 9201569588736000 9858824559360000 11501961985920000 13802354383104000 15335949314560000 17252942978880000 19717649118720000 23003923971840000 27604708766208000 34505885957760000 46007847943680000 69011771915520000 138023543831040000
- Sum of all divisors σ(n): 579588909409787277
- Sum of proper divisors (its aliquot sum) s(n): 441565365578747277
- 138023543831040000 is an abundant number, because the sum of its proper divisors (441565365578747277) is greater than itself. Its abundance is 303541821747707277
Bases of 138023543831040000
- Binary: 1111010100101101110101110100011001011000010010000000000002
- Hexadecimal: 0x1EA5BAE8CB09000
- Base-36: 11R19GOUPDS0
Squares and roots of 138023543831040000
- 138023543831040000 squared (1380235438310400002) is 19050498651679020040067481600000000
- 138023543831040000 cubed (1380235438310400003) is 2629417335653187644189448583616988708864000000000000
-
138023543831040000 is a
perfect square number . Itssquare root is 371515200 -
The
cube root of 138023543831040000 is 516794.3115509685
Scales and comparisons
How big is 138023543831040000?- 138,023,543,831,040,000 seconds is equal to 4,388,721,758 years, 50 weeks, 4 days, 16 hours.
-
To count from 1 to 138,023,543,831,040,000 would take you about thirteen billion, one hundred sixty-six million, one hundred sixty-five thousand, two hundred seventy-six 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 138023543831040000 cubic inches would be around 43066.2 feet tall.
Recreational maths with 138023543831040000
- 138023543831040000 backwards is 000040138345320831
- 138023543831040000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138023543831040000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138023543831040000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 138023543831040000 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138023543831040000/
Chicago style:
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The information we have on file for 138023543831040000 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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