214381440
214,381,440 is an even composite number composed of six prime numbers multiplied together.
214381440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 214381440:
27 × 32 × 5 × 7 × 13 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 409)See below for interesting mathematical facts about the number 214381440 from the Numbermatics database.
Names of 214381440
- Cardinal: 214381440 can be written as Two hundred fourteen million, three hundred eighty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 2.1438144 × 108
Factors of 214381440
Divisors of 214381440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 28 30 32 35 36 39 40 42 45 48 52 56 60 63 64 65 70 72 78 80 84 90 91 96 104 105 112 117 120 126 128 130 140 144 156 160 168 180 182 192 195 208 210 224 234 240 252 260 273 280 288 312 315 320 336 360 364 384 390 409 416 420 448 455 468 480 504 520 546 560 576 585 624 630 640 672 720 728 780 818 819 832 840 896 910 936 960 1008 1040 1092 1120 1152 1170 1227 1248 1260 1344 1365 1440 1456 1560 1636 1638 1664 1680 1820 1872 1920 2016 2045 2080 2184 2240 2340 2454 2496 2520 2688 2730 2863 2880 2912 3120 3272 3276 3360 3640 3681 3744 4032 4090 4095 4160 4368 4480 4680 4908 4992 5040 5317 5460 5726 5760 5824 6135 6240 6544 6552 6720 7280 7362 7488 8064 8180 8190 8320 8589 8736 9360 9816 10080 10634 10920 11452 11648 12270 12480 13088 13104 13440 14315 14560 14724 14976 15951 16360 16380 17178 17472 18405 18720 19632 20160 21268 21840 22904 24540 24960 25767 26176 26208 26585 28630 29120 29448 31902 32720 32760 34356 34944 36810 37219 37440 39264 40320 42536 42945 43680 45808 47853 49080 51534 52352 52416 53170 57260 58240 58896 63804 65440 65520 68712 73620 74438 74880 78528 79755 85072 85890 87360 91616 95706 98160 103068 104832 106340 111657 114520 117792 127608 128835 130880 131040 137424 147240 148876 157056 159510 170144 171780 174720 183232 186095 191412 196320 206136 212680 223314 229040 235584 239265 255216 257670 261760 262080 274848 294480 297752 319020 334971 340288 343560 366464 372190 382824 392640 412272 425360 446628 458080 471168 478530 510432 515340 524160 549696 558285 588960 595504 638040 669942 680576 687120 744380 765648 785280 824544 850720 893256 916160 957060 1020864 1030680 1099392 1116570 1177920 1191008 1276080 1339884 1374240 1488760 1531296 1649088 1674855 1701440 1786512 1832320 1914120 2041728 2061360 2233140 2355840 2382016 2552160 2679768 2748480 2977520 3062592 3298176 3349710 3402880 3573024 3828240 4122720 4466280 4764032 5104320 5359536 5496960 5955040 6125184 6699420 7146048 7656480 8245440 8932560 10208640 10719072 11910080 13398840 14292096 15312960 16490880 17865120 21438144 23820160 26797680 30625920 35730240 42876288 53595360 71460480 107190720 214381440
- Sum of all divisors σ(n): 913348800
- Sum of proper divisors (its aliquot sum) s(n): 698967360
- 214381440 is an abundant number, because the sum of its proper divisors (698967360) is greater than itself. Its abundance is 484585920
Bases of 214381440
- Binary: 11001100011100110011100000002
- Hexadecimal: 0xCC73380
- Base-36: 3JMXS0
Squares and roots of 214381440
- 214381440 squared (2143814402) is 45959401816473600
- 214381440 cubed (2143814403) is 9852842742954226089984000
-
The
square root of 214381440 is 14641.7703847589 -
The
cube root of 214381440 is 598.4975743355
Scales and comparisons
How big is 214381440?- 214,381,440 seconds is equal to 6 years, 42 weeks, 3 days, 6 hours, 24 minutes.
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To count from 1 to 214,381,440 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 214381440 cubic inches would be around 49.9 feet tall.
Recreational maths with 214381440
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