135147048960000
135,147,048,960,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135147048960000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
135147048960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 135147048960000:
215 × 3 × 54 × 73 × 112 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 53)See below for interesting mathematical facts about the number 135147048960000 from the Numbermatics database.
Names of 135147048960000
- Cardinal: 135147048960000 can be written as One hundred thirty-five trillion, one hundred forty-seven billion, forty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3514704896 × 1014
Factors of 135147048960000
Divisors of 135147048960000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 53 55 56 60 64 66 70 75 77 80 84 88 96 98 100 105 106 110 112 120 121 125 128 132 140 147 150 154 159 160 165 168 175 176 192 196 200 210 212 220 224 231 240 242 245 250 256 264 265 275 280 294 300 308 318 320 330 336 343 350 352 363 371 375 384 385 392 400 420 424 440 448 462 480 484 490 500 512 525 528 530 539 550 560 583 588 600 605 616 625 636 640 660 672 686 700 704 726 735 742 750 768 770 784 795 800 825 840 847 848 875 880 896 924 960 968 980 1000 1024 1029 1050 1056 1060 1078 1100 1113 1120 1155 1166 1176 1200 1210 1225 1232 1250 1272 1280 1320 1325 1344 1372 1375 1400 1408 1452 1470 1484 1500 1536 1540 1568 1590 1600 1617 1650 1680 1694 1696 1715 1749 1750 1760 1792 1815 1848 1855 1875 1920 1925 1936 1960 2000 2048 2058 2100 2112 2120 2156 2200 2226 2240 2310 2332 2352 2400 2420 2450 2464 2500 2541 2544 2560 2597 2625 2640 2650 2688 2695 2744 2750 2800 2816 2904 2915 2940 2968 3000 3025 3072 3080 3136 3180 3200 3234 3300 3360 3388 3392 3430 3498 3500 3520 3584 3630 3675 3696 3710 3750 3773 3840 3850 3872 3920 3975 4000 4081 4096 4116 4125 4200 4224 4235 4240 4312 4375 4400 4452 4480 4620 4664 4704 4800 4840 4900 4928 5000 5082 5088 5120 5145 5194 5250 5280 5300 5376 5390 5488 5500 5565 5600 5632 5775 5808 5830 5880 5929 5936 6000 6050 6125 6144 6160 6272 6360 6400 6413 6468 6600 6625 6720 6776 6784 6860 6875 6996 7000 7040 7168 7260 7350 7392 7420 7500 7546 7680 7700 7744 7791 7840 7950 8000 8085 8162 8192 8232 8250 8400 8448 8470 8480 8575 8624 8745 8750 8800 8904 8960 9075 9240 9275 9328 9408 9600 9625 9680 9800 9856 10000 10164 10176 10240 10290 10388 10500 10560 10600 10752 10780 10976 11000 11130 11200 11264 11319 11550 11616 11660 11760 11858 11872 12000 12100 12243 12250 12288 12320 12544 12705 12720 12800 12826 12936 12985 13125 13200 13250 13440 13475 13552 13568 13720 13750 13992 14000 14080 14336 14520 14575 14700 14784 14840 15000 15092 15125 15360 15400 15488 15582 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- Sum of all divisors σ(n): 588152193552000
- Sum of proper divisors (its aliquot sum) s(n): 453005144592000
- 135147048960000 is an abundant number, because the sum of its proper divisors (453005144592000) is greater than itself. Its abundance is 317858095632000
Bases of 135147048960000
- Binary: 111101011101010010111111101100010000000000000002
- Hexadecimal: 0x7AEA5FD88000
- Base-36: 1BWLP3K2DC
Squares and roots of 135147048960000
- 135147048960000 squared (1351470489600002) is 18264724842596637081600000000
- 135147048960000 cubed (1351470489600003) is 2468423662543336005198346715136000000000000
-
The
square root of 135147048960000 is 11625276.2960714185 -
The
cube root of 135147048960000 is 51317.8975812113
Scales and comparisons
How big is 135147048960000?- 135,147,048,960,000 seconds is equal to 4,297,258 years, 6 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 135,147,048,960,000 would take you about ten million, seven hundred forty-three thousand, one hundred forty-five 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 135147048960000 cubic inches would be around 4276.5 feet tall.
Recreational maths with 135147048960000
- 135147048960000 backwards is 000069840741531
- 135147048960000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135147048960000's digits is 48
- More coming soon!
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"Number 135147048960000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 135147048960000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/135147048960000/
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The information we have on file for 135147048960000 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 135147048960000, math, Factors of 135147048960000, curriculum, school, college, exams, university, Prime factorization of 135147048960000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, one hundred forty-seven billion, forty-eight million, nine hundred sixty thousand.