214016400
214,016,400 is an even composite number composed of six prime numbers multiplied together.
214016400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 214016400:
24 × 32 × 52 × 13 × 17 × 269
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 17 × 269)See below for interesting mathematical facts about the number 214016400 from the Numbermatics database.
Names of 214016400
- Cardinal: 214016400 can be written as Two hundred fourteen million, sixteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.140164 × 108
Factors of 214016400
Divisors of 214016400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 34 36 39 40 45 48 50 51 52 60 65 68 72 75 78 80 85 90 100 102 104 117 120 130 136 144 150 153 156 170 180 195 200 204 208 221 225 234 240 255 260 269 272 300 306 312 325 340 360 390 400 408 425 442 450 468 510 520 538 585 600 612 624 650 663 680 720 765 780 807 816 850 884 900 936 975 1020 1040 1076 1105 1170 1200 1224 1275 1300 1326 1345 1360 1530 1560 1614 1700 1768 1800 1872 1950 1989 2040 2152 2210 2340 2421 2448 2550 2600 2652 2690 2925 3060 3120 3228 3315 3400 3497 3536 3600 3825 3900 3978 4035 4080 4304 4420 4573 4680 4842 5100 5200 5304 5380 5525 5850 6120 6456 6630 6725 6800 6994 7650 7800 7956 8070 8840 9146 9360 9684 9945 10200 10491 10608 10760 11050 11700 12105 12240 12912 13260 13450 13719 13988 15300 15600 15912 16140 16575 17485 17680 18292 19368 19890 20175 20400 20982 21520 22100 22865 23400 24210 26520 26900 27438 27976 30600 31473 31824 32280 33150 34970 36584 38736 39780 40350 41157 41964 44200 45730 46800 48420 49725 52455 53040 53800 54876 55952 59449 60525 61200 62946 64560 66300 68595 69940 73168 79560 80700 82314 83928 87425 88400 91460 96840 99450 104910 107600 109752 114325 118898 121050 125892 132600 137190 139880 157365 159120 161400 164628 167856 174850 178347 182920 193680 198900 205785 209820 219504 228650 237796 242100 251784 262275 265200 274380 279760 297245 314730 322800 329256 342975 349700 356694 365840 397800 411570 419640 457300 475592 484200 503568 524550 535041 548760 594490 629460 658512 685950 699400 713388 786825 795600 823140 839280 891735 914600 951184 968400 1028925 1049100 1070082 1097520 1188980 1258920 1371900 1398800 1426776 1486225 1573650 1646280 1783470 1829200 2057850 2098200 2140164 2377960 2517840 2675205 2743800 2853552 2972450 3147300 3292560 3566940 4115700 4196400 4280328 4458675 4755920 5350410 5487600 5944900 6294600 7133880 8231400 8560656 8917350 10700820 11889800 12589200 13376025 14267760 16462800 17834700 21401640 23779600 26752050 35669400 42803280 53504100 71338800 107008200 214016400
- Sum of all divisors σ(n): 850023720
- Sum of proper divisors (its aliquot sum) s(n): 636007320
- 214016400 is an abundant number, because the sum of its proper divisors (636007320) is greater than itself. Its abundance is 421990920
Bases of 214016400
- Binary: 11001100000110100001100100002
- Hexadecimal: 0xCC1A190
- Base-36: 3JF440
Squares and roots of 214016400
- 214016400 squared (2140164002) is 45803019468960000
- 214016400 cubed (2140164003) is 9802597335876730944000000
-
The
square root of 214016400 is 14629.2993680491 -
The
cube root of 214016400 is 598.1576822319
Scales and comparisons
How big is 214016400?- 214,016,400 seconds is equal to 6 years, 41 weeks, 6 days, 1 hour.
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To count from 1 to 214,016,400 would take you about ten 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 214016400 cubic inches would be around 49.8 feet tall.
Recreational maths with 214016400
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