42138402768000
42,138,402,768,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42138402768000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4096 divisors.
42138402768000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 42138402768000:
27 × 33 × 53 × 7 × 11 × 19 × 61 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 19 × 61 × 1093)See below for interesting mathematical facts about the number 42138402768000 from the Numbermatics database.
Names of 42138402768000
- Cardinal: 42138402768000 can be written as Forty-two trillion, one hundred thirty-eight billion, four hundred two million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2138402768 × 1013
Factors of 42138402768000
Divisors of 42138402768000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 24 25 27 28 30 32 33 35 36 38 40 42 44 45 48 50 54 55 56 57 60 61 63 64 66 70 72 75 76 77 80 84 88 90 95 96 99 100 105 108 110 112 114 120 122 125 126 128 132 133 135 140 144 150 152 154 160 165 168 171 175 176 180 183 189 190 192 198 200 209 210 216 220 224 225 228 231 240 244 250 252 264 266 270 275 280 285 288 297 300 304 305 308 315 320 330 336 342 350 352 360 366 375 378 380 384 385 396 399 400 418 420 427 432 440 448 450 456 462 475 480 488 495 500 504 513 525 528 532 540 549 550 560 570 576 594 600 608 610 616 627 630 640 660 665 671 672 675 684 693 700 704 720 732 750 756 760 770 792 798 800 825 836 840 854 855 864 875 880 896 900 912 915 924 945 950 960 976 990 1000 1008 1026 1045 1050 1056 1064 1080 1093 1098 1100 1120 1125 1140 1152 1155 1159 1188 1197 1200 1216 1220 1232 1254 1260 1281 1320 1330 1342 1344 1350 1368 1375 1386 1400 1408 1425 1440 1463 1464 1485 1500 1512 1520 1525 1540 1575 1584 1596 1600 1647 1650 1672 1680 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6019771824000 7023067128000 8427680553600 10534600692000 14046134256000 21069201384000 42138402768000
- Sum of all divisors σ(n): 207221594112000
- Sum of proper divisors (its aliquot sum) s(n): 165083191344000
- 42138402768000 is an abundant number, because the sum of its proper divisors (165083191344000) is greater than itself. Its abundance is 122944788576000
Bases of 42138402768000
- Binary: 10011001010011000111001000011101000100100000002
- Hexadecimal: 0x26531C874480
- Base-36: EXQ450YO0
Squares and roots of 42138402768000
- 42138402768000 squared (421384027680002) is 1775644987838190061824000000
- 42138402768000 cubed (421384027680003) is 74822843670506114437274532728832000000000
-
The
square root of 42138402768000 is 6491409.9214269313 -
The
cube root of 42138402768000 is 34798.4064668649
Scales and comparisons
How big is 42138402768000?- 42,138,402,768,000 seconds is equal to 1,339,870 years, 45 weeks.
-
To count from 1 to 42,138,402,768,000 would take you about three million, three hundred forty-nine thousand, six hundred seventy-seven 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 42138402768000 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42138402768000
- 42138402768000 backwards is 00086720483124
- 42138402768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42138402768000's digits is 45
- More coming soon!
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"Number 42138402768000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 42138402768000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42138402768000/
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The information we have on file for 42138402768000 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 42138402768000, math, Factors of 42138402768000, curriculum, school, college, exams, university, Prime factorization of 42138402768000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred thirty-eight billion, four hundred two million, seven hundred sixty-eight thousand.