21418311942144000
21,418,311,942,144,000 is an even composite number composed of six prime numbers multiplied together.
21418311942144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 21418311942144000:
224 × 35 × 53 × 13 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 53 × 61)See below for interesting mathematical facts about the number 21418311942144000 from the Numbermatics database.
Names of 21418311942144000
- Cardinal: 21418311942144000 can be written as Twenty-one quadrillion, four hundred eighteen trillion, three hundred eleven billion, nine hundred forty-two million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 2.1418311942144 × 1016
Factors of 21418311942144000
Divisors of 21418311942144000
- Number of divisors d(n): 4800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 53 54 60 61 64 65 72 75 78 80 81 90 96 100 104 106 108 117 120 122 125 128 130 135 144 150 156 159 160 162 180 183 192 195 200 208 212 216 225 234 240 243 244 250 256 260 265 270 288 300 305 312 318 320 324 325 351 360 366 375 384 390 400 405 416 424 432 450 468 477 480 486 488 500 512 520 530 540 549 576 585 600 610 624 636 640 648 650 675 689 702 720 732 750 768 780 793 795 800 810 832 848 864 900 915 936 954 960 972 975 976 1000 1024 1040 1053 1060 1080 1098 1125 1152 1170 1200 1215 1220 1248 1272 1280 1296 1300 1325 1350 1378 1404 1431 1440 1464 1500 1525 1536 1560 1586 1590 1600 1620 1625 1647 1664 1696 1728 1755 1800 1830 1872 1908 1920 1944 1950 1952 2000 2025 2048 2067 2080 2106 2120 2160 2196 2250 2304 2340 2379 2385 2400 2430 2440 2496 2544 2560 2592 2600 2650 2700 2745 2756 2808 2862 2880 2925 2928 3000 3050 3072 3120 3159 3172 3180 3200 3233 3240 3250 3294 3328 3375 3392 3445 3456 3510 3600 3660 3744 3816 3840 3888 3900 3904 3965 3975 4000 4050 4096 4134 4160 4212 4240 4293 4320 4392 4500 4575 4608 4680 4758 4770 4800 4860 4875 4880 4941 4992 5088 5120 5184 5200 5265 5300 5400 5490 5512 5616 5724 5760 5850 5856 6000 6075 6100 6144 6201 6240 6318 6344 6360 6400 6466 6480 6500 6588 6625 6656 6750 6784 6890 6912 7020 7137 7155 7200 7320 7488 7625 7632 7680 7776 7800 7808 7930 7950 8000 8100 8192 8235 8268 8320 8424 8480 8586 8640 8775 8784 9000 9150 9216 9360 9516 9540 9600 9699 9720 9750 9760 9882 9984 10125 10176 10240 10335 10368 10400 10530 10600 10800 10980 11024 11232 11448 11520 11700 11712 11895 11925 12000 12150 12200 12288 12402 12480 12636 12688 12720 12800 12879 12932 12960 13000 13176 13250 13312 13500 13568 13725 13780 13824 14040 14274 14310 14400 14625 14640 14823 14976 15250 15264 15360 15552 15600 15616 15795 15860 15900 16000 16165 16200 16384 16470 16536 16640 16848 16960 17172 17225 17280 17550 17568 18000 18300 18432 18603 18720 19032 19080 19200 19398 19440 19500 19520 19764 19825 19875 19968 20250 20352 20480 20670 20736 20800 21060 21200 21411 21465 21600 21960 22048 22464 22875 22896 23040 23400 23424 23790 23850 24000 24300 24400 24576 24705 24804 24960 25272 25376 25440 25600 25758 25864 25920 26000 26325 26352 26500 26624 27000 27136 27450 27560 27648 28080 28548 28620 28800 29097 29250 29280 29646 29952 30375 30500 30528 30720 31005 31104 31200 31232 31590 31720 31800 32000 32330 32400 32768 32940 33072 33280 33696 33920 34344 34450 34560 35100 35136 35685 35775 36000 36600 36864 37206 37440 38064 38160 38400 38796 38880 39000 39040 39528 39650 39750 39936 40500 40704 40960 41175 41340 41472 41600 42029 42120 42400 42822 42930 43200 43875 43920 44096 44928 45750 45792 46080 46800 46848 47580 47700 48000 48495 48600 48800 49152 49410 49608 49920 50544 50752 50880 51200 51516 51675 51728 51840 52000 52650 52704 53000 53248 54000 54272 54900 55120 55296 55809 56160 57096 57240 57600 58194 58500 58560 59292 59475 59625 59904 60750 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51486326784000 52884720844800 53545779855360 54918748569600 55776854016000 57115498512384 58519977984000 59495310950400 61020831744000 65902498283520 66105901056000 66932224819200 67353182208000 68648435712000 70223973580800 71394373140480 74369138688000 79327081267200 80823818649600 82378122854400 83665281024000 85673247768576 87779966976000 88141201408000 89242966425600 91531247616000 95192497520640 99158851584000 101029773312000 102972653568000 107091559710720 109837497139200 111553708032000 117039955968000 118990621900800 132211802112000 133864449638400 134706364416000 137296871424000 142788746280960 148738277376000 158654162534400 164756245708800 167330562048000 171346495537152 175559933952000 178485932851200 183062495232000 198317703168000 202059546624000 205945307136000 214183119421440 223107416064000 237981243801600 264423604224000 267728899276800 274593742848000 285577492561920 297476554752000 329512491417600 334661124096000 351119867904000 356971865702400 396635406336000 404119093248000 411890614272000 428366238842880 446214832128000 475962487603200 535457798553600 549187485696000 594953109504000 669322248192000 713943731404800 793270812672000 823781228544000 856732477685760 892429664256000 1070915597107200 1189906219008000 1338644496384000 1427887462809600 1647562457088000 1784859328512000 2141831194214400 2379812438016000 2677288992768000 3569718657024000 4283662388428800 5354577985536000 7139437314048000 10709155971072000 21418311942144000
- Sum of all divisors σ(n): 89307790649820288
- Sum of proper divisors (its aliquot sum) s(n): 67889478707676288
- 21418311942144000 is an abundant number, because the sum of its proper divisors (67889478707676288) is greater than itself. Its abundance is 46471166765532288
Bases of 21418311942144000
- Binary: 10011000001011111010111010110110000000000000000000000002
- Hexadecimal: 0x4C17D75B000000
- Base-36: 5UW5OO5XC00
Squares and roots of 21418311942144000
- 21418311942144000 squared (214183119421440002) is 458744086450988285203316736000000
- 21418311942144000 cubed (214183119421440003) is 9825523945221141935121243057746538921984000000000
-
The
square root of 21418311942144000 is 146349963.9294250049 -
The
cube root of 21418311942144000 is 277712.2773313507
Scales and comparisons
How big is 21418311942144000?- 21,418,311,942,144,000 seconds is equal to 681,036,068 years, 29 weeks, 5 days.
-
To count from 1 to 21,418,311,942,144,000 would take you about two billion, forty-three million, one hundred eight thousand, two hundred 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 21418311942144000 cubic inches would be around 23142.7 feet tall.
Recreational maths with 21418311942144000
- 21418311942144000 backwards is 00044124911381412
- 21418311942144000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 21418311942144000's digits is 45
- More coming soon!
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MLA style:
"Number 21418311942144000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
APA style:
Numbermatics. (2024). Number 21418311942144000 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/21418311942144000/
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Numbermatics. 2024. "Number 21418311942144000 - Facts about the integer". https://numbermatics.com/n/21418311942144000/
The information we have on file for 21418311942144000 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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