138437972064000
138,437,972,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138437972064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4320 divisors.
138437972064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 138437972064000:
28 × 32 × 53 × 74 × 19 × 41 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 19 × 41 × 257)See below for interesting mathematical facts about the number 138437972064000 from the Numbermatics database.
Names of 138437972064000
- Cardinal: 138437972064000 can be written as One hundred thirty-eight trillion, four hundred thirty-seven billion, nine hundred seventy-two million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.38437972064 × 1014
Factors of 138437972064000
Divisors of 138437972064000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 41 42 45 48 49 50 56 57 60 63 64 70 72 75 76 80 82 84 90 95 96 98 100 105 112 114 120 123 125 126 128 133 140 144 147 150 152 160 164 168 171 175 180 190 192 196 200 205 210 224 225 228 240 245 246 250 252 256 257 266 280 285 287 288 294 300 304 315 320 328 336 342 343 350 360 369 375 380 384 392 399 400 410 420 441 448 450 456 475 480 490 492 500 504 514 525 532 560 570 574 576 588 600 608 615 630 640 656 665 672 684 686 700 720 735 738 750 760 768 771 779 784 798 800 820 840 855 861 875 882 896 900 912 931 950 960 980 984 1000 1008 1025 1028 1029 1050 1064 1120 1125 1140 1148 1152 1176 1197 1200 1216 1225 1230 1260 1280 1285 1312 1330 1344 1368 1372 1400 1425 1435 1440 1470 1476 1500 1520 1542 1558 1568 1575 1596 1600 1640 1680 1710 1715 1722 1750 1764 1792 1799 1800 1824 1845 1862 1900 1920 1960 1968 1995 2000 2009 2016 2050 2056 2058 2100 2128 2205 2240 2250 2280 2296 2304 2313 2337 2352 2375 2394 2400 2401 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34609493016000 46145990688000 69218986032000 138437972064000
- Sum of all divisors σ(n): 629072863997760
- Sum of proper divisors (its aliquot sum) s(n): 490634891933760
- 138437972064000 is an abundant number, because the sum of its proper divisors (490634891933760) is greater than itself. Its abundance is 352196919869760
Bases of 138437972064000
- Binary: 111110111101000100110100010010111110111000000002
- Hexadecimal: 0x7DE89A25F700
- Base-36: 1D2LIY7CW0
Squares and roots of 138437972064000
- 138437972064000 squared (1384379720640002) is 19165072109192844420096000000
- 138437972064000 cubed (1384379720640003) is 2653173717256984553417948328198144000000000
-
The
square root of 138437972064000 is 11765966.6863373363 -
The
cube root of 138437972064000 is 51731.1035353157
Scales and comparisons
How big is 138437972064000?- 138,437,972,064,000 seconds is equal to 4,401,899 years, 15 weeks, 2 days, 8 hours.
-
To count from 1 to 138,437,972,064,000 would take you about eleven million, four thousand, seven hundred forty-eight 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 138437972064000 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138437972064000
- 138437972064000 backwards is 000460279734831
- The number of decimal digits it has is: 15
- The sum of 138437972064000's digits is 54
- More coming soon!
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"Number 138437972064000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138437972064000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138437972064000/
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The information we have on file for 138437972064000 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 138437972064000, math, Factors of 138437972064000, curriculum, school, college, exams, university, Prime factorization of 138437972064000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirty-seven billion, nine hundred seventy-two million, sixty-four thousand.