214320120
214,320,120 is an even composite number composed of six prime numbers multiplied together.
214320120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 214320120:
23 × 3 × 5 × 73 × 41 × 127
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 41 × 127)See below for interesting mathematical facts about the number 214320120 from the Numbermatics database.
Names of 214320120
- Cardinal: 214320120 can be written as Two hundred fourteen million, three hundred twenty thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1432012 × 108
Factors of 214320120
Divisors of 214320120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 49 56 60 70 82 84 98 105 120 123 127 140 147 164 168 196 205 210 245 246 254 280 287 294 328 343 381 392 410 420 490 492 508 574 588 615 635 686 735 762 820 840 861 889 980 984 1016 1029 1148 1176 1230 1270 1372 1435 1470 1524 1640 1715 1722 1778 1905 1960 2009 2058 2296 2460 2540 2667 2744 2870 2940 3048 3430 3444 3556 3810 4018 4116 4305 4445 4920 5080 5145 5207 5334 5740 5880 6027 6223 6860 6888 7112 7620 8036 8232 8610 8890 10045 10290 10414 10668 11480 12054 12446 13335 13720 14063 15240 15621 16072 17220 17780 18669 20090 20580 20828 21336 24108 24892 26035 26670 28126 30135 31115 31242 34440 35560 36449 37338 40180 41160 41656 42189 43561 48216 49784 52070 53340 56252 60270 62230 62484 70315 72898 74676 78105 80360 84378 87122 93345 104140 106680 109347 112504 120540 124460 124968 130683 140630 145796 149352 156210 168756 174244 182245 186690 208280 210945 217805 218694 241080 248920 255143 261366 281260 291592 312420 337512 348488 364490 373380 421890 435610 437388 510286 522732 546735 562520 624840 653415 728980 746760 765429 843780 871220 874776 1020572 1045464 1093470 1275715 1306830 1457960 1530858 1687560 1742440 1786001 2041144 2186940 2551430 2613660 3061716 3572002 3827145 4373880 5102860 5227320 5358003 6123432 7144004 7654290 8930005 10205720 10716006 14288008 15308580 17860010 21432012 26790015 30617160 35720020 42864024 53580030 71440040 107160060 214320120
- Sum of all divisors σ(n): 774144000
- Sum of proper divisors (its aliquot sum) s(n): 559823880
- 214320120 is an abundant number, because the sum of its proper divisors (559823880) is greater than itself. Its abundance is 345503760
Bases of 214320120
- Binary: 11001100011001000011111110002
- Hexadecimal: 0xCC643F8
- Base-36: 3JLMGO
Squares and roots of 214320120
- 214320120 squared (2143201202) is 45933113836814400
- 214320120 cubed (2143201203) is 9844390469479722625728000
-
The
square root of 214320120 is 14639.6762259279 -
The
cube root of 214320120 is 598.4405056965
Scales and comparisons
How big is 214320120?- 214,320,120 seconds is equal to 6 years, 42 weeks, 2 days, 13 hours, 22 minutes.
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To count from 1 to 214,320,120 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 214320120 cubic inches would be around 49.9 feet tall.
Recreational maths with 214320120
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