138640913728800000
138,640,913,728,800,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138640913728800000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
138640913728800000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138640913728800000:
28 × 3 × 55 × 7 × 17 × 37 × 97 × 135257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 17 × 37 × 97 × 135257)See below for interesting mathematical facts about the number 138640913728800000 from the Numbermatics database.
Names of 138640913728800000
- Cardinal: 138640913728800000 can be written as One hundred thirty-eight quadrillion, six hundred forty trillion, nine hundred thirteen billion, seven hundred twenty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.386409137288 × 1017
Factors of 138640913728800000
Divisors of 138640913728800000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 37 40 42 48 50 51 56 60 64 68 70 74 75 80 84 85 96 97 100 102 105 111 112 119 120 125 128 136 140 148 150 160 168 170 175 185 192 194 200 204 210 222 224 238 240 250 255 256 259 272 280 291 296 300 320 336 340 350 357 370 375 384 388 400 408 420 425 444 448 476 480 485 500 510 518 525 544 555 560 582 592 595 600 625 629 640 672 679 680 700 714 740 750 768 776 777 800 816 840 850 875 888 896 925 952 960 970 1000 1020 1036 1050 1088 1110 1120 1164 1184 1190 1200 1250 1258 1275 1280 1295 1344 1358 1360 1400 1428 1455 1480 1500 1552 1554 1600 1632 1649 1680 1700 1750 1776 1785 1792 1850 1875 1887 1904 1920 1940 2000 2037 2040 2072 2100 2125 2176 2220 2240 2328 2368 2380 2400 2425 2500 2516 2550 2590 2625 2688 2716 2720 2775 2800 2856 2910 2960 2975 3000 3104 3108 3125 3145 3200 3264 3298 3360 3395 3400 3500 3552 3570 3589 3700 3750 3774 3808 3840 3880 3885 4000 4074 4080 4144 4200 4250 4352 4375 4403 4440 4480 4625 4656 4736 4760 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936762930600000 990292240920000 1019418483300000 1083132138506250 1109127309830400 1155340947740000 1165049695200000 1237865301150000 1249017240800000 1320389654560000 1359224644400000 1386409137288000 1429287770400000 1444176184675000 1631069573280000 1650487068200000 1733011421610000 1848545516384000 1873525861200000 1980584481840000 2038836966600000 2166264277012500 2310681895480000 2475730602300000 2718449288800000 2772818274576000 2888352369350000 3300974136400000 3466022843220000 3747051722400000 3961168963680000 4077673933200000 4332528554025000 4621363790960000 4951461204600000 5545636549152000 5776704738700000 6601948272800000 6932045686440000 8155347866400000 8665057108050000 9242727581920000 9902922409200000 11553409477400000 13864091372880000 17330114216100000 19805844818400000 23106818954800000 27728182745760000 34660228432200000 46213637909600000 69320456864400000 138640913728800000
- Sum of all divisors σ(n): 579092921282921472
- Sum of proper divisors (its aliquot sum) s(n): 440452007554121472
- 138640913728800000 is an abundant number, because the sum of its proper divisors (440452007554121472) is greater than itself. Its abundance is 301811093825321472
Bases of 138640913728800000
- Binary: 1111011001000110100101101001011100010010000000101000000002
- Hexadecimal: 0x1EC8D2D2E240500
- Base-36: 11X43OI7T9MO
Squares and roots of 138640913728800000
- 138640913728800000 squared (1386409137288000002) is 19221302959556564319949440000000000
- 138640913728800000 cubed (1386409137288000003) is 2664859005371009749385838551817871872000000000000000
-
The
square root of 138640913728800000 is 372345154.0288929289 -
The
cube root of 138640913728800000 is 517563.6941260577
Scales and comparisons
How big is 138640913728800000?- 138,640,913,728,800,000 seconds is equal to 4,408,352,212 years, 3 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 138,640,913,728,800,000 would take you about thirteen billion, two hundred twenty-five million, fifty-six thousand, six hundred thirty-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 138640913728800000 cubic inches would be around 43130.3 feet tall.
Recreational maths with 138640913728800000
- 138640913728800000 backwards is 000008827319046831
- 138640913728800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138640913728800000's digits is 60
- More coming soon!
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"Number 138640913728800000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138640913728800000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138640913728800000/
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The information we have on file for 138640913728800000 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 138640913728800000, math, Factors of 138640913728800000, curriculum, school, college, exams, university, Prime factorization of 138640913728800000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, six hundred forty trillion, nine hundred thirteen billion, seven hundred twenty-eight million, eight hundred thousand.