214628844096000
214,628,844,096,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 214628844096000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4480 divisors.
214628844096000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, four hundred eighty divisors.
Prime factorization of 214628844096000:
29 × 36 × 53 × 29 × 41 × 53 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 41 × 53 × 73)See below for interesting mathematical facts about the number 214628844096000 from the Numbermatics database.
Names of 214628844096000
- Cardinal: 214628844096000 can be written as Two hundred fourteen trillion, six hundred twenty-eight billion, eight hundred forty-four million, ninety-six thousand.
Scientific notation
- Scientific notation: 2.14628844096 × 1014
Factors of 214628844096000
Divisors of 214628844096000
- Number of divisors d(n): 4480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 41 45 48 50 53 54 58 60 64 72 73 75 80 81 82 87 90 96 100 106 108 116 120 123 125 128 135 144 145 146 150 159 160 162 164 174 180 192 200 205 212 216 219 225 232 240 243 246 250 256 261 265 270 288 290 292 300 318 320 324 328 348 360 365 369 375 384 400 405 410 424 432 435 438 450 464 477 480 486 492 500 512 522 530 540 576 580 584 600 615 636 640 648 656 657 675 696 720 725 729 730 738 750 768 783 795 800 810 820 848 864 870 876 900 928 954 960 972 984 1000 1025 1044 1060 1080 1095 1107 1125 1152 1160 1168 1189 1200 1215 1230 1272 1280 1296 1305 1312 1314 1325 1350 1392 1431 1440 1450 1458 1460 1476 1500 1536 1537 1566 1590 1600 1620 1640 1696 1728 1740 1752 1800 1825 1845 1856 1908 1920 1944 1968 1971 2000 2025 2050 2088 2117 2120 2160 2173 2175 2190 2214 2250 2304 2320 2336 2349 2378 2385 2400 2430 2460 2544 2560 2592 2610 2624 2628 2650 2700 2784 2862 2880 2900 2916 2920 2952 2993 3000 3074 3075 3132 3180 3200 3240 3280 3285 3321 3375 3392 3456 3480 3504 3567 3600 3625 3645 3650 3690 3712 3816 3840 3869 3888 3915 3936 3942 3975 4000 4050 4100 4176 4234 4240 4293 4320 4346 4350 4380 4428 4500 4608 4611 4640 4672 4698 4756 4770 4800 4860 4920 5088 5125 5184 5220 5248 5256 5300 5400 5475 5535 5568 5724 5760 5800 5832 5840 5904 5913 5945 5986 6000 6075 6148 6150 6264 6351 6360 6400 6480 6519 6525 6560 6570 6625 6642 6750 6784 6912 6960 7008 7047 7134 7155 7200 7250 7290 7300 7380 7424 7632 7680 7685 7738 7776 7830 7872 7884 7950 8000 8100 8200 8352 8468 8480 8586 8640 8692 8700 8760 8856 8979 9000 9125 9222 9225 9280 9344 9396 9512 9540 9600 9720 9840 9855 9963 10125 10176 10250 10368 10440 10496 10512 10585 10600 10701 10800 10865 10875 10950 11070 11136 11448 11520 11600 11607 11664 11680 11745 11808 11826 11890 11925 11972 12000 12150 12296 12300 12528 12702 12720 12800 12879 12960 13038 13050 13120 13140 13250 13284 13500 13568 13824 13833 13920 14016 14094 14268 14310 14400 14500 14580 14600 14760 14848 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- Sum of all divisors σ(n): 878246481752640
- Sum of proper divisors (its aliquot sum) s(n): 663617637656640
- 214628844096000 is an abundant number, because the sum of its proper divisors (663617637656640) is greater than itself. Its abundance is 448988793560640
Bases of 214628844096000
- Binary: 1100001100110100001011000000001011001010000000002
- Hexadecimal: 0xC3342C02CA00
- Base-36: 242V4O8000
Squares and roots of 214628844096000
- 214628844096000 squared (2146288440960002) is 46065540717985074057216000000
- 214628844096000 cubed (2146288440960003) is 9886993756958358363081227047796736000000000
-
The
square root of 214628844096000 is 14650216.5204477439 -
The
cube root of 214628844096000 is 59872.7715259471
Scales and comparisons
How big is 214628844096000?- 214,628,844,096,000 seconds is equal to 6,824,533 years, 18 weeks, 2 days.
-
To count from 1 to 214,628,844,096,000 would take you about seventeen million, sixty-one thousand, three hundred thirty-three 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 214628844096000 cubic inches would be around 4989.4 feet tall.
Recreational maths with 214628844096000
- 214628844096000 backwards is 000690448826412
- 214628844096000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 214628844096000's digits is 54
- More coming soon!
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The information we have on file for 214628844096000 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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