213312960
213,312,960 is an even composite number composed of five prime numbers multiplied together.
213312960 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 213312960:
26 × 33 × 5 × 7 × 3527
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 3527)See below for interesting mathematical facts about the number 213312960 from the Numbermatics database.
Names of 213312960
- Cardinal: 213312960 can be written as Two hundred thirteen million, three hundred twelve thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 2.1331296 × 108
Factors of 213312960
Divisors of 213312960
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 420 432 448 480 504 540 560 576 630 672 720 756 840 864 945 960 1008 1080 1120 1260 1344 1440 1512 1680 1728 1890 2016 2160 2240 2520 2880 3024 3360 3527 3780 4032 4320 5040 6048 6720 7054 7560 8640 10080 10581 12096 14108 15120 17635 20160 21162 24689 28216 30240 31743 35270 42324 49378 52905 56432 60480 63486 70540 74067 84648 95229 98756 105810 112864 123445 126972 141080 148134 158715 169296 190458 197512 211620 222201 225728 246890 253944 282160 296268 317430 338592 370335 380916 395024 423240 444402 476145 493780 507888 564320 592536 634860 666603 677184 740670 761832 790048 846480 888804 952290 987560 1015776 1111005 1128640 1185072 1269720 1333206 1481340 1523664 1580096 1692960 1777608 1904580 1975120 2031552 2222010 2370144 2539440 2666412 2962680 3047328 3333015 3385920 3555216 3809160 3950240 4444020 4740288 5078880 5332824 5925360 6094656 6666030 7110432 7618320 7900480 8888040 10157760 10665648 11850720 13332060 14220864 15236640 17776080 21331296 23701440 26664120 30473280 35552160 42662592 53328240 71104320 106656480 213312960
- Sum of all divisors σ(n): 860267520
- Sum of proper divisors (its aliquot sum) s(n): 646954560
- 213312960 is an abundant number, because the sum of its proper divisors (646954560) is greater than itself. Its abundance is 433641600
Bases of 213312960
- Binary: 11001011011011100101110000002
- Hexadecimal: 0xCB6E5C0
- Base-36: 3J01C0
Squares and roots of 213312960
- 213312960 squared (2133129602) is 45502418903961600
- 213312960 cubed (2133129603) is 9706255663564004622336000
-
The
square root of 213312960 is 14605.2374167625 -
The
cube root of 213312960 is 597.5016111951
Scales and comparisons
How big is 213312960?- 213,312,960 seconds is equal to 6 years, 40 weeks, 4 days, 21 hours, 36 minutes.
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To count from 1 to 213,312,960 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 213312960 cubic inches would be around 49.8 feet tall.
Recreational maths with 213312960
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