212942400
212,942,400 is an even composite number composed of six prime numbers multiplied together.
212942400 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 212942400:
26 × 3 × 52 × 11 × 37 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 37 × 109)See below for interesting mathematical facts about the number 212942400 from the Numbermatics database.
Names of 212942400
- Cardinal: 212942400 can be written as Two hundred twelve million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.129424 × 108
Factors of 212942400
Divisors of 212942400
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 37 40 44 48 50 55 60 64 66 74 75 80 88 96 100 109 110 111 120 132 148 150 160 165 176 185 192 200 218 220 222 240 264 275 296 300 320 327 330 352 370 400 407 436 440 444 480 528 545 550 555 592 600 654 660 704 740 800 814 825 872 880 888 925 960 1056 1090 1100 1110 1184 1199 1200 1221 1308 1320 1480 1600 1628 1635 1650 1744 1760 1776 1850 2035 2112 2180 2200 2220 2368 2398 2400 2442 2616 2640 2725 2775 2960 3256 3270 3300 3488 3520 3552 3597 3700 4033 4070 4360 4400 4440 4796 4800 4884 5232 5280 5450 5550 5920 5995 6105 6512 6540 6600 6976 7104 7194 7400 8066 8140 8175 8720 8800 8880 9592 9768 10175 10464 10560 10900 11100 11840 11990 12099 12210 13024 13080 13200 14388 14800 16132 16280 16350 17440 17600 17760 17985 19184 19536 20165 20350 20928 21800 22200 23980 24198 24420 26048 26160 26400 28776 29600 29975 30525 32264 32560 32700 34880 35520 35970 38368 39072 40330 40700 43600 44363 44400 47960 48396 48840 52320 52800 57552 59200 59950 60495 61050 64528 65120 65400 71940 76736 78144 80660 81400 87200 88726 88800 89925 95920 96792 97680 100825 104640 115104 119900 120990 122100 129056 130240 130800 133089 143880 161320 162800 174400 177452 177600 179850 191840 193584 195360 201650 221815 230208 239800 241980 244200 258112 261600 266178 287760 302475 322640 325600 354904 359700 383680 387168 390720 403300 443630 479600 483960 488400 523200 532356 575520 604950 645280 651200 665445 709808 719400 774336 806600 887260 959200 967920 976800 1064712 1109075 1151040 1209900 1290560 1330890 1419616 1438800 1613200 1774520 1918400 1935840 1953600 2129424 2218150 2419800 2661780 2839232 2877600 3226400 3327225 3549040 3871680 4258848 4436300 4839600 5323560 5755200 6452800 6654450 7098080 8517696 8872600 9679200 10647120 13308900 14196160 17745200 19358400 21294240 26617800 35490400 42588480 53235600 70980800 106471200 212942400
- Sum of all divisors σ(n): 789919680
- Sum of proper divisors (its aliquot sum) s(n): 576977280
- 212942400 is an abundant number, because the sum of its proper divisors (576977280) is greater than itself. Its abundance is 364034880
Bases of 212942400
- Binary: 11001011000100111110010000002
- Hexadecimal: 0xCB13E40
- Base-36: 3IS3EO
Squares and roots of 212942400
- 212942400 squared (2129424002) is 45344465717760000
- 212942400 cubed (2129424003) is 9655759356657537024000000
-
The
square root of 212942400 is 14592.5460424149 -
The
cube root of 212942400 is 597.1554241819
Scales and comparisons
How big is 212942400?- 212,942,400 seconds is equal to 6 years, 40 weeks, 14 hours, 40 minutes.
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To count from 1 to 212,942,400 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 212942400 cubic inches would be around 49.8 feet tall.
Recreational maths with 212942400
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