42228211200
42,228,211,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 42228211200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
42228211200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42228211200:
29 × 3 × 52 × 7 × 127 × 1237
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 127 × 1237)See below for interesting mathematical facts about the number 42228211200 from the Numbermatics database.
Names of 42228211200
- Cardinal: 42228211200 can be written as Forty-two billion, two hundred twenty-eight million, two hundred eleven thousand, two hundred.
Scientific notation
- Scientific notation: 4.22282112 × 1010
Factors of 42228211200
Divisors of 42228211200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 127 128 140 150 160 168 175 192 200 210 224 240 254 256 280 300 320 336 350 381 384 400 420 448 480 508 512 525 560 600 635 640 672 700 762 768 800 840 889 896 960 1016 1050 1120 1200 1237 1270 1280 1344 1400 1524 1536 1600 1680 1778 1792 1905 1920 2032 2100 2240 2400 2474 2540 2560 2667 2688 2800 3048 3175 3200 3360 3556 3584 3711 3810 3840 4064 4200 4445 4480 4800 4948 5080 5334 5376 5600 6096 6185 6350 6400 6720 7112 7422 7620 7680 8128 8400 8659 8890 8960 9525 9600 9896 10160 10668 10752 11200 12192 12370 12700 12800 13335 13440 14224 14844 15240 16256 16800 17318 17780 17920 18555 19050 19200 19792 20320 21336 22225 22400 24384 24740 25400 25977 26670 26880 28448 29688 30480 30925 32512 33600 34636 35560 37110 38100 38400 39584 40640 42672 43295 44450 44800 48768 49480 50800 51954 53340 53760 56896 59376 60960 61850 65024 66675 67200 69272 71120 74220 76200 79168 81280 85344 86590 88900 89600 92775 97536 98960 101600 103908 106680 113792 118752 121920 123700 129885 133350 134400 138544 142240 148440 152400 157099 158336 162560 170688 173180 177800 185550 195072 197920 203200 207816 213360 216475 227584 237504 243840 247400 259770 266700 268800 277088 284480 296880 304800 314198 316672 325120 341376 346360 355600 371100 395840 406400 415632 426720 432950 455168 471297 475008 487680 494800 519540 533400 554176 568960 593760 609600 628396 633344 649425 682752 692720 711200 742200 785495 791680 812800 831264 853440 865900 942594 950016 975360 989600 1039080 1066800 1099693 1108352 1137920 1187520 1219200 1256792 1298850 1365504 1385440 1422400 1484400 1570990 1583360 1625600 1662528 1706880 1731800 1885188 1900032 1979200 2078160 2133600 2199386 2216704 2275840 2356485 2375040 2438400 2513584 2597700 2770880 2844800 2968800 3141980 3166720 3299079 3325056 3413760 3463600 3770376 3927475 3958400 4156320 4267200 4398772 4433408 4712970 4750080 4876800 5027168 5195400 5498465 5541760 5689600 5937600 6283960 6598158 6650112 6827520 6927200 7540752 7854950 7916800 8312640 8534400 8797544 9425940 9500160 10054336 10390800 10996930 11083520 11379200 11782425 11875200 12567920 13196316 13300224 13854400 15081504 15709900 15833600 16495395 16625280 17068800 17595088 18851880 20108672 20781600 21993860 22167040 23564850 23750400 25135840 26392632 27492325 27708800 30163008 31419800 32990790 33250560 34137600 35190176 37703760 40217344 41563200 43987720 47129700 47500800 50271680 52785264 54984650 55417600 60326016 62839600 65981580 66501120 70380352 75407520 80434688 82476975 83126400 87975440 94259400 100543360 105570528 109969300 110835200 120652032 125679200 131963160 140760704 150815040 164953950 166252800 175950880 188518800 201086720 211141056 219938600 241304064 251358400 263926320 281521408 301630080 329907900 332505600 351901760 377037600 402173440 422282112 439877200 502716800 527852640 563042816 603260160 659815800 703803520 754075200 844564224 879754400 1005433600 1055705280 1206520320 1319631600 1407607040 1508150400 1689128448 1759508800 2010867200 2111410560 2639263200 2815214080 3016300800 3519017600 4222821120 5278526400 6032601600 7038035200 8445642240 10557052800 14076070400 21114105600 42228211200
- Sum of all divisors σ(n): 160811802624
- Sum of proper divisors (its aliquot sum) s(n): 118583591424
- 42228211200 is an abundant number, because the sum of its proper divisors (118583591424) is greater than itself. Its abundance is 76355380224
Bases of 42228211200
- Binary: 1001110101001111111101011110000000002
- Hexadecimal: 0x9D4FF5E00
- Base-36: JEDL4AO
Squares and roots of 42228211200
- 42228211200 squared (422282112002) is 1783221821151805440000
- 42228211200 cubed (422282112003) is 75302267680047067381628928000000
-
The
square root of 42228211200 is 205495.0393561849 -
The
cube root of 42228211200 is 3482.3110557273
Scales and comparisons
How big is 42228211200?- 42,228,211,200 seconds is equal to 1,342 years, 37 weeks, 5 days, 10 hours, 40 minutes.
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To count from 1 to 42,228,211,200 would take you about two thousand, six hundred eighty-five 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 42228211200 cubic inches would be around 290.2 feet tall.
Recreational maths with 42228211200
- 42228211200 backwards is 00211282224
- 42228211200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42228211200's digits is 24
- More coming soon!
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