212433984
212,433,984 is an even composite number composed of six prime numbers multiplied together.
212433984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 212433984:
26 × 32 × 7 × 19 × 47 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 47 × 59)See below for interesting mathematical facts about the number 212433984 from the Numbermatics database.
Names of 212433984
- Cardinal: 212433984 can be written as Two hundred twelve million, four hundred thirty-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 2.12433984 × 108
Factors of 212433984
Divisors of 212433984
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 47 48 56 57 59 63 64 72 76 84 94 96 112 114 118 126 133 141 144 152 168 171 177 188 192 224 228 236 252 266 282 288 304 329 336 342 354 376 399 413 423 448 456 472 504 531 532 564 576 608 658 672 684 708 752 798 826 846 893 912 944 987 1008 1062 1064 1121 1128 1197 1216 1239 1316 1344 1368 1416 1504 1596 1652 1692 1786 1824 1888 1974 2016 2124 2128 2242 2256 2394 2478 2632 2679 2736 2773 2832 2961 3008 3192 3304 3363 3384 3572 3648 3717 3776 3948 4032 4248 4256 4484 4512 4788 4956 5264 5358 5472 5546 5664 5922 6251 6384 6608 6726 6768 7144 7434 7847 7896 8037 8319 8496 8512 8968 9024 9576 9912 10089 10528 10716 10944 11092 11328 11844 12502 12768 13216 13452 13536 14288 14868 15694 15792 16074 16638 16992 17936 18753 19152 19411 19824 20178 21056 21432 22184 23541 23688 24957 25004 25536 26432 26904 27072 28576 29736 31388 31584 32148 33276 33984 35872 37506 38304 38822 39648 40356 42864 44368 47082 47376 49914 50008 52687 53808 56259 57152 58233 59472 62776 63168 64296 66552 70623 71744 75012 76608 77644 79296 80712 85728 88736 94164 94752 99828 100016 105374 107616 112518 116466 118944 125552 128592 133104 141246 150024 155288 158061 161424 171456 174699 177472 188328 189504 199656 200032 210748 215232 225036 232932 237888 251104 257184 266208 282492 300048 310576 316122 322848 349398 368809 376656 399312 400064 421496 450072 465864 474183 502208 514368 532416 564984 600096 621152 632244 645696 698796 737618 753312 798624 842992 900144 931728 948366 1106427 1129968 1200192 1242304 1264488 1397592 1475236 1506624 1597248 1685984 1800288 1863456 1896732 2212854 2259936 2528976 2795184 2950472 3319281 3371968 3600576 3726912 3793464 4425708 4519872 5057952 5590368 5900944 6638562 7586928 8851416 10115904 11180736 11801888 13277124 15173856 17702832 23603776 26554248 30347712 35405664 53108496 70811328 106216992 212433984
- Sum of all divisors σ(n): 760780800
- Sum of proper divisors (its aliquot sum) s(n): 548346816
- 212433984 is an abundant number, because the sum of its proper divisors (548346816) is greater than itself. Its abundance is 335912832
Bases of 212433984
- Binary: 11001010100101111100010000002
- Hexadecimal: 0xCA97C40
- Base-36: 3IH740
Squares and roots of 212433984
- 212433984 squared (2124339842) is 45128197558112256
- 212433984 cubed (2124339843) is 9586762798008858061307904
-
The
square root of 212433984 is 14575.1152311053 -
The
cube root of 212433984 is 596.6797942799
Scales and comparisons
How big is 212433984?- 212,433,984 seconds is equal to 6 years, 39 weeks, 1 day, 17 hours, 26 minutes, 24 seconds.
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To count from 1 to 212,433,984 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 212433984 cubic inches would be around 49.7 feet tall.
Recreational maths with 212433984
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