230142240
230,142,240 is an even composite number composed of five prime numbers multiplied together.
230142240 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 230142240:
25 × 32 × 5 × 71 × 2251
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 71 × 2251)See below for interesting mathematical facts about the number 230142240 from the Numbermatics database.
Names of 230142240
- Cardinal: 230142240 can be written as Two hundred thirty million, one hundred forty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 2.3014224 × 108
Factors of 230142240
Divisors of 230142240
- 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 32 36 40 45 48 60 71 72 80 90 96 120 142 144 160 180 213 240 284 288 355 360 426 480 568 639 710 720 852 1065 1136 1278 1420 1440 1704 2130 2251 2272 2556 2840 3195 3408 4260 4502 5112 5680 6390 6753 6816 8520 9004 10224 11255 11360 12780 13506 17040 18008 20259 20448 22510 25560 27012 33765 34080 36016 40518 45020 51120 54024 67530 72032 81036 90040 101295 102240 108048 135060 159821 162072 180080 202590 216096 270120 319642 324144 360160 405180 479463 540240 639284 648288 799105 810360 958926 1080480 1278568 1438389 1598210 1620720 1917852 2397315 2557136 2876778 3196420 3241440 3835704 4794630 5114272 5753556 6392840 7191945 7671408 9589260 11507112 12785680 14383890 15342816 19178520 23014224 25571360 28767780 38357040 46028448 57535560 76714080 115071120 230142240
- Sum of all divisors σ(n): 796775616
- Sum of proper divisors (its aliquot sum) s(n): 566633376
- 230142240 is an abundant number, because the sum of its proper divisors (566633376) is greater than itself. Its abundance is 336491136
Bases of 230142240
- Binary: 11011011011110110001001000002
- Hexadecimal: 0xDB7B120
- Base-36: 3T0QW0
Squares and roots of 230142240
- 230142240 squared (2301422402) is 52965450632217600
- 230142240 cubed (2301422403) is 12189587451107974631424000
-
The
square root of 230142240 is 15170.4396772143 -
The
cube root of 230142240 is 612.8188449599
Scales and comparisons
How big is 230142240?- 230,142,240 seconds is equal to 7 years, 16 weeks, 3 days, 16 hours, 24 minutes.
-
To count from 1 to 230,142,240 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 230142240 cubic inches would be around 51.1 feet tall.
Recreational maths with 230142240
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