213513120
213,513,120 is an even composite number composed of five prime numbers multiplied together.
213513120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 213513120:
25 × 32 × 5 × 31 × 4783
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 4783)See below for interesting mathematical facts about the number 213513120 from the Numbermatics database.
Names of 213513120
- Cardinal: 213513120 can be written as Two hundred thirteen million, five hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1351312 × 108
Factors of 213513120
Divisors of 213513120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4783 4960 5580 7440 8928 9566 11160 14349 14880 19132 22320 23915 28698 38264 43047 44640 47830 57396 71745 76528 86094 95660 114792 143490 148273 153056 172188 191320 215235 229584 286980 296546 344376 382640 430470 444819 459168 573960 593092 688752 741365 765280 860940 889638 1147920 1186184 1334457 1377504 1482730 1721880 1779276 2224095 2295840 2372368 2668914 2965460 3443760 3558552 4448190 4744736 5337828 5930920 6672285 6887520 7117104 8896380 10675656 11861840 13344570 14234208 17792760 21351312 23723680 26689140 35585520 42702624 53378280 71171040 106756560 213513120
- Sum of all divisors σ(n): 752274432
- Sum of proper divisors (its aliquot sum) s(n): 538761312
- 213513120 is an abundant number, because the sum of its proper divisors (538761312) is greater than itself. Its abundance is 325248192
Bases of 213513120
- Binary: 11001011100111110011101000002
- Hexadecimal: 0xCB9F3A0
- Base-36: 3J4BS0
Squares and roots of 213513120
- 213513120 squared (2135131202) is 45587852412134400
- 213513120 cubed (2135131203) is 9733604602614341603328000
-
The
square root of 213513120 is 14612.0881464629 -
The
cube root of 213513120 is 597.6884392481
Scales and comparisons
How big is 213513120?- 213,513,120 seconds is equal to 6 years, 41 weeks, 5 hours, 12 minutes.
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To count from 1 to 213,513,120 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 213513120 cubic inches would be around 49.8 feet tall.
Recreational maths with 213513120
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