214212240
214,212,240 is an even composite number composed of seven prime numbers multiplied together.
214212240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 214212240:
24 × 32 × 5 × 11 × 17 × 37 × 43
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 17 × 37 × 43)See below for interesting mathematical facts about the number 214212240 from the Numbermatics database.
Names of 214212240
- Cardinal: 214212240 can be written as Two hundred fourteen million, two hundred twelve thousand, two hundred forty.
Scientific notation
- Scientific notation: 2.1421224 × 108
Factors of 214212240
Divisors of 214212240
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 30 33 34 36 37 40 43 44 45 48 51 55 60 66 68 72 74 80 85 86 88 90 99 102 110 111 120 129 132 136 144 148 153 165 170 172 176 180 185 187 198 204 215 220 222 240 255 258 264 272 296 306 330 333 340 344 360 370 374 387 396 407 408 430 440 444 473 495 510 516 528 555 561 592 612 629 645 660 666 680 688 720 731 740 748 765 774 792 814 816 860 880 888 935 946 990 1020 1032 1110 1122 1221 1224 1258 1290 1320 1332 1360 1419 1462 1480 1496 1530 1548 1584 1591 1628 1665 1683 1720 1776 1870 1887 1892 1935 1980 2035 2040 2064 2193 2220 2244 2365 2442 2448 2516 2580 2640 2664 2805 2838 2924 2960 2992 3060 3096 3145 3182 3256 3330 3366 3440 3655 3663 3740 3774 3784 3870 3960 4070 4080 4257 4386 4440 4488 4730 4773 4884 5032 5160 5328 5610 5661 5676 5848 6105 6120 6192 6290 6364 6512 6579 6660 6732 6919 7095 7310 7326 7480 7548 7568 7740 7920 7955 8041 8140 8415 8514 8772 8880 8976 9435 9460 9546 9768 10064 10320 10965 11220 11322 11352 11696 12210 12240 12580 12728 13158 13320 13464 13838 14190 14319 14620 14652 14960 15096 15480 15910 16082 16280 16830 17028 17501 17544 18315 18870 18920 19092 19536 20757 21285 21930 22440 22644 22704 23865 24123 24420 25160 25456 26316 26640 26928 27047 27676 28305 28380 28638 29240 29304 30192 30960 31820 32164 32560 32895 33660 34056 34595 35002 35088 36630 37740 37840 38184 40205 41514 42570 43860 44880 45288 47730 48246 48840 50320 52503 52632 54094 55352 56610 56760 57276 58480 58608 62271 63640 64328 65790 67320 68112 69190 70004 71595 72369 73260 75480 76368 80410 81141 83028 85140 87505 87720 90576 95460 96492 97680 103785 105006 105264 108188 110704 113220 113520 114552 120615 124542 127280 128656 131580 134640 135235 138380 140008 143190 144738 146520 150960 157509 160820 162282 166056 170280 175010 175440 190920 192984 207570 210012 216376 226440 229104 241230 243423 249084 262515 263160 270470 276760 280016 286380 289476 293040 297517 311355 315018 321640 324564 332112 340560 350020 361845 381840 385968 405705 415140 420024 432752 452880 482460 486846 498168 525030 526320 540940 553520 572760 578952 595034 622710 630036 643280 649128 700040 723690 787545 811410 830280 840048 892551 964920 973692 996336 1050060 1081880 1145520 1157904 1190068 1217115 1245420 1260072 1298256 1400080 1447380 1487585 1575090 1622820 1660560 1785102 1929840 1947384 2100120 2163760 2380136 2434230 2490840 2520144 2677653 2894760 2975170 3150180 3245640 3570204 3894768 4200240 4462755 4760272 4868460 4981680 5355306 5789520 5950340 6300360 6491280 7140408 8925510 9736920 10710612 11900680 12600720 13388265 14280816 17851020 19473840 21421224 23801360 26776530 35702040 42842448 53553060 71404080 107106120 214212240
- Sum of all divisors σ(n): 873265536
- Sum of proper divisors (its aliquot sum) s(n): 659053296
- 214212240 is an abundant number, because the sum of its proper divisors (659053296) is greater than itself. Its abundance is 444841056
Bases of 214212240
- Binary: 11001100010010011110100100002
- Hexadecimal: 0xCC49E90
- Base-36: 3JJB80
Squares and roots of 214212240
- 214212240 squared (2142122402) is 45886883765817600
- 214212240 cubed (2142122403) is 9829532158095423527424000
-
The
square root of 214212240 is 14635.9912544385 -
The
cube root of 214212240 is 598.3400786701
Scales and comparisons
How big is 214212240?- 214,212,240 seconds is equal to 6 years, 42 weeks, 1 day, 7 hours, 24 minutes.
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To count from 1 to 214,212,240 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 214212240 cubic inches would be around 49.9 feet tall.
Recreational maths with 214212240
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