21385410801664000
21,385,410,801,664,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21385410801664000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4096 divisors.
21385410801664000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 21385410801664000:
215 × 53 × 73 × 13 × 31 × 107 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 31 × 107 × 353)See below for interesting mathematical facts about the number 21385410801664000 from the Numbermatics database.
Names of 21385410801664000
- Cardinal: 21385410801664000 can be written as Twenty-one quadrillion, three hundred eighty-five trillion, four hundred ten billion, eight hundred one million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 2.1385410801664 × 1016
Factors of 21385410801664000
Divisors of 21385410801664000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 31 32 35 40 49 50 52 56 62 64 65 70 80 91 98 100 104 107 112 124 125 128 130 140 155 160 175 182 196 200 208 214 217 224 245 248 250 256 260 280 310 320 325 343 350 353 364 392 400 403 416 428 434 448 455 490 496 500 512 520 535 560 620 637 640 650 686 700 706 728 749 775 784 800 806 832 856 868 875 896 910 980 992 1000 1024 1040 1070 1085 1120 1225 1240 1274 1280 1300 1372 1391 1400 1412 1456 1498 1519 1550 1568 1600 1612 1625 1664 1712 1715 1736 1750 1765 1792 1820 1960 1984 2000 2015 2048 2080 2140 2170 2240 2275 2450 2471 2480 2548 2560 2600 2675 2744 2782 2800 2821 2824 2912 2996 3038 3100 3136 3185 3200 3224 3250 3317 3328 3424 3430 3472 3500 3530 3584 3640 3745 3875 3920 3968 4000 4030 4096 4160 4280 4340 4459 4480 4550 4589 4900 4942 4960 5096 5120 5200 5243 5350 5425 5488 5564 5600 5642 5648 5824 5992 6076 6125 6200 6272 6370 6400 6448 6500 6634 6656 6848 6860 6944 6955 7000 7060 7168 7280 7490 7595 7750 7840 7936 8000 8060 8192 8320 8560 8575 8680 8825 8918 8960 9100 9178 9737 9800 9884 9920 10075 10192 10240 10400 10486 10633 10700 10850 10943 10976 11128 11200 11284 11296 11375 11648 11984 12152 12250 12355 12400 12544 12740 12800 12896 13000 13268 13312 13375 13696 13720 13888 13910 14000 14105 14120 14336 14560 14980 15190 15500 15680 15872 15925 16000 16120 16384 16585 16640 17120 17150 17297 17360 17650 17836 17920 18200 18356 18725 19474 19600 19747 19768 19840 20150 20384 20480 20800 20972 21266 21400 21700 21886 21952 22256 22295 22400 22568 22592 22750 22945 23219 23296 23968 24304 24500 24710 24800 25088 25480 25600 25792 26000 26215 26536 26624 26750 27125 27392 27440 27776 27820 28000 28210 28240 28672 29120 29960 30380 31000 31360 31744 31850 32000 32123 32240 32768 33170 33280 34240 34300 34594 34720 34775 35300 35672 35840 36400 36701 36712 37450 37771 37975 38948 39200 39494 39536 39680 40300 40768 40960 41600 41944 42532 42800 42875 43121 43400 43772 43904 44125 44512 44590 44800 45136 45184 45500 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137970392268800 152752934297600 164503160012800 167073521888000 171083286413312 172462990336000 190941167872000 199863652352000 205628950016000 213854108016640 218218477568000 235004514304000 267317635020800 305505868595200 329006320025600 334147043776000 344925980672000 381882335744000 411257900032000 427708216033280 436436955136000 534635270041600 611011737190400 668294087552000 689851961344000 763764671488000 822515800064000 855416432066560 1069270540083200 1336588175104000 1527529342976000 1645031600128000 2138541080166400 2673176350208000 3055058685952000 4277082160332800 5346352700416000 10692705400832000 21385410801664000
- Sum of all divisors σ(n): 70042707431424000
- Sum of proper divisors (its aliquot sum) s(n): 48657296629760000
- 21385410801664000 is an abundant number, because the sum of its proper divisors (48657296629760000) is greater than itself. Its abundance is 27271885828096000
Bases of 21385410801664000
- Binary: 10010111111100111101010111101100011010110000000000000002
- Hexadecimal: 0x4BF9EAF6358000
- Base-36: 5UKHU3GD6V4
Squares and roots of 21385410801664000
- 21385410801664000 squared (213854108016640002) is 457335795155927287145168896000000
- 21385410801664000 cubed (213854108016640003) is 9780313853715161853668459082152037842944000000000
-
The
square root of 21385410801664000 is 146237515.0283401117 -
The
cube root of 21385410801664000 is 277570.0044760403
Scales and comparisons
How big is 21385410801664000?- 21,385,410,801,664,000 seconds is equal to 679,989,914 years, 3 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 21,385,410,801,664,000 would take you about two billion, thirty-nine million, nine hundred sixty-nine thousand, seven hundred forty-two 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 21385410801664000 cubic inches would be around 23130.8 feet tall.
Recreational maths with 21385410801664000
- 21385410801664000 backwards is 00046610801458312
- 21385410801664000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21385410801664000's digits is 49
- More coming soon!
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The information we have on file for 21385410801664000 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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