14164648960000
14,164,648,960,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 14164648960000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2240 divisors.
14164648960000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 14164648960000:
213 × 54 × 7 × 11 × 19 × 31 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 19 × 31 × 61)See below for interesting mathematical facts about the number 14164648960000 from the Numbermatics database.
Names of 14164648960000
- Cardinal: 14164648960000 can be written as Fourteen trillion, one hundred sixty-four billion, six hundred forty-eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.416464896 × 1013
Factors of 14164648960000
Divisors of 14164648960000
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 19 20 22 25 28 31 32 35 38 40 44 50 55 56 61 62 64 70 76 77 80 88 95 100 110 112 122 124 125 128 133 140 152 154 155 160 175 176 190 200 209 217 220 224 244 248 250 256 266 275 280 304 305 308 310 320 341 350 352 380 385 400 418 427 434 440 448 475 488 496 500 512 532 550 560 589 608 610 616 620 625 640 665 671 682 700 704 760 770 775 800 836 854 868 875 880 896 950 976 992 1000 1024 1045 1064 1085 1100 1120 1159 1178 1216 1220 1232 1240 1250 1280 1330 1342 1364 1375 1400 1408 1463 1520 1525 1540 1550 1600 1672 1705 1708 1736 1750 1760 1792 1891 1900 1925 1952 1984 2000 2048 2090 2128 2135 2170 2200 2240 2318 2356 2375 2387 2432 2440 2464 2480 2500 2560 2660 2684 2728 2750 2800 2816 2926 2945 3040 3050 3080 3100 3200 3325 3344 3355 3410 3416 3472 3500 3520 3584 3782 3800 3850 3875 3904 3968 4000 4096 4123 4180 4256 4270 4340 4375 4400 4480 4636 4697 4712 4750 4774 4864 4880 4928 4960 5000 5120 5225 5320 5368 5425 5456 5500 5600 5632 5795 5852 5890 6080 6100 6160 6200 6400 6479 6650 6688 6710 6820 6832 6875 6944 7000 7040 7168 7315 7564 7600 7625 7700 7750 7808 7936 8000 8113 8192 8246 8360 8512 8525 8540 8680 8750 8800 8960 9272 9394 9424 9455 9500 9548 9625 9728 9760 9856 9920 10000 10240 10450 10640 10675 10736 10850 10912 11000 11200 11264 11590 11704 11780 11875 11935 12160 12200 12320 12400 12749 12800 12958 13237 13300 13376 13420 13640 13664 13750 13888 14000 14080 14336 14630 14725 15128 15200 15250 15400 15500 15616 15872 16000 16226 16492 16625 16720 16775 17024 17050 17080 17360 17500 17600 17920 18544 18788 18848 18910 19000 19096 19250 19375 19456 19520 19712 19840 20000 20480 20615 20801 20900 21280 21350 21472 21700 21824 22000 22400 22528 23180 23408 23485 23560 23750 23870 24320 24400 24640 24800 25498 25600 25916 26125 26474 26600 26752 26840 27125 27280 27328 27500 27776 28000 28160 28672 28975 29260 29450 30256 30400 30500 30800 31000 31232 31744 32000 32395 32452 32984 33250 33440 33550 34048 34100 34160 34720 35000 35200 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1287695360000 1416464896000 1770581120000 2023521280000 2832929792000 3541162240000 7082324480000 14164648960000
- Sum of all divisors σ(n): 48740206141440
- Sum of proper divisors (its aliquot sum) s(n): 34575557181440
- 14164648960000 is an abundant number, because the sum of its proper divisors (34575557181440) is greater than itself. Its abundance is 20410908221440
Bases of 14164648960000
- Binary: 110011100001111101101101111010100000000000002
- Hexadecimal: 0xCE1F6DEA000
- Base-36: 50R5E9QF4
Squares and roots of 14164648960000
- 14164648960000 squared (141646489600002) is 200637280160029081600000000
- 14164648960000 cubed (141646489600003) is 2841956641755984564255195136000000000000
-
The
square root of 14164648960000 is 3763595.2173420565 -
The
cube root of 14164648960000 is 24195.5373689493
Scales and comparisons
How big is 14164648960000?- 14,164,648,960,000 seconds is equal to 450,392 years, 1 week, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 14,164,648,960,000 would take you about one million, one hundred twenty-five thousand, nine hundred eighty 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 14164648960000 cubic inches would be around 2016.3 feet tall.
Recreational maths with 14164648960000
- 14164648960000 backwards is 00006984646141
- The number of decimal digits it has is: 14
- The sum of 14164648960000's digits is 49
- More coming soon!
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Numbermatics. (2024). Number 14164648960000 - Facts about the integer. Retrieved 27 September 2024, from https://numbermatics.com/n/14164648960000/
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The information we have on file for 14164648960000 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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