21384013478400000
21,384,013,478,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 21384013478400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6240 divisors.
21384013478400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, two hundred forty divisors.
Prime factorization of 21384013478400000:
212 × 34 × 55 × 193 × 31 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 19 × 19 × 19 × 31 × 97)See below for interesting mathematical facts about the number 21384013478400000 from the Numbermatics database.
Names of 21384013478400000
- Cardinal: 21384013478400000 can be written as Twenty-one quadrillion, three hundred eighty-four trillion, thirteen billion, four hundred seventy-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 2.13840134784 × 1016
Factors of 21384013478400000
Divisors of 21384013478400000
- Number of divisors d(n): 6240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 31 32 36 38 40 45 48 50 54 57 60 62 64 72 75 76 80 81 90 93 95 96 97 100 108 114 120 124 125 128 135 144 150 152 155 160 162 171 180 186 190 192 194 200 216 225 228 240 248 250 256 270 279 285 288 291 300 304 310 320 324 342 360 361 372 375 380 384 388 400 405 432 450 456 465 475 480 485 496 500 512 513 540 558 570 576 582 589 600 608 620 625 640 648 675 684 720 722 744 750 760 768 775 776 800 810 837 855 864 873 900 912 930 950 960 970 992 1000 1024 1026 1080 1083 1116 1125 1140 1152 1164 1178 1200 1216 1240 1250 1280 1296 1350 1368 1395 1425 1440 1444 1455 1488 1500 1520 1536 1539 1550 1552 1600 1620 1674 1710 1728 1746 1767 1800 1805 1824 1843 1860 1875 1900 1920 1940 1984 2000 2025 2048 2052 2160 2166 2232 2250 2280 2304 2325 2328 2356 2375 2400 2425 2432 2480 2500 2511 2560 2565 2592 2619 2700 2736 2790 2850 2880 2888 2910 2945 2976 3000 3007 3040 3072 3078 3100 3104 3125 3200 3240 3249 3348 3375 3420 3456 3492 3534 3600 3610 3648 3686 3720 3750 3800 3840 3875 3880 3968 4000 4050 4096 4104 4185 4275 4320 4332 4365 4464 4500 4560 4608 4650 4656 4712 4750 4800 4850 4864 4960 5000 5022 5120 5130 5184 5238 5301 5400 5415 5472 5529 5580 5625 5700 5760 5776 5820 5890 5952 6000 6014 6080 6144 6156 6200 6208 6250 6400 6480 6498 6696 6750 6840 6859 6912 6975 6984 7068 7125 7200 7220 7275 7296 7372 7440 7500 7600 7680 7695 7750 7760 7857 7936 8000 8100 8208 8370 8550 8640 8664 8730 8835 8928 9000 9021 9025 9120 9215 9216 9300 9312 9375 9424 9500 9600 9700 9728 9747 9920 10000 10044 10125 10240 10260 10368 10476 10602 10800 10830 10944 11058 11160 11191 11250 11400 11520 11552 11625 11640 11780 11875 11904 12000 12028 12125 12160 12288 12312 12400 12416 12500 12555 12800 12825 12960 12996 13095 13392 13500 13680 13718 13824 13950 13968 14136 14250 14400 14440 14550 14592 14725 14744 14880 15000 15035 15200 15360 15390 15500 15520 15714 15872 15903 16000 16200 16245 16416 16587 16740 16875 17100 17280 17328 17460 17670 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562737196800000 594000374400000 668250421200000 689806886400000 712800449280000 792000499200000 855360539136000 891000561600000 1069200673920000 1125474393600000 1188000748800000 1336500842400000 1425600898560000 1782001123200000 2138401347840000 2376001497600000 2673001684800000 3564002246400000 4276802695680000 5346003369600000 7128004492800000 10692006739200000 21384013478400000
- Sum of all divisors σ(n): 87896008885386240
- Sum of proper divisors (its aliquot sum) s(n): 66511995406986240
- 21384013478400000 is an abundant number, because the sum of its proper divisors (66511995406986240) is greater than itself. Its abundance is 45127981928586240
Bases of 21384013478400000
- Binary: 10010111111100010100101100111110100000010010000000000002
- Hexadecimal: 0x4BF8A59F409000
- Base-36: 5UK006A6800
Squares and roots of 21384013478400000
- 21384013478400000 squared (213840134784000002) is 457276032444392867266560000000000
- 21384013478400000 cubed (213840134784000003) is 9778396841140172772132941205602304000000000000000
-
The
square root of 21384013478400000 is 146232737.3688942473 -
The
cube root of 21384013478400000 is 277563.9588674081
Scales and comparisons
How big is 21384013478400000?- 21,384,013,478,400,000 seconds is equal to 679,945,483 years, 26 weeks, 6 days.
-
To count from 1 to 21,384,013,478,400,000 would take you about two billion, thirty-nine million, eight hundred thirty-six thousand, four hundred fifty 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 21384013478400000 cubic inches would be around 23130.3 feet tall.
Recreational maths with 21384013478400000
- 21384013478400000 backwards is 00000487431048312
- 21384013478400000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21384013478400000's digits is 45
- More coming soon!
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The information we have on file for 21384013478400000 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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