146309940
146,309,940 is an even composite number composed of six prime numbers multiplied together.
146309940 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 146309940:
22 × 32 × 5 × 7 × 151 × 769
(2 × 2 × 3 × 3 × 5 × 7 × 151 × 769)See below for interesting mathematical facts about the number 146309940 from the Numbermatics database.
Names of 146309940
- Cardinal: 146309940 can be written as One hundred forty-six million, three hundred nine thousand, nine hundred forty.
Scientific notation
- Scientific notation: 1.4630994 × 108
Factors of 146309940
Divisors of 146309940
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 151 180 210 252 302 315 420 453 604 630 755 769 906 1057 1260 1359 1510 1538 1812 2114 2265 2307 2718 3020 3076 3171 3845 4228 4530 4614 5285 5383 5436 6342 6795 6921 7690 9060 9228 9513 10570 10766 11535 12684 13590 13842 15380 15855 16149 19026 21140 21532 23070 26915 27180 27684 31710 32298 34605 38052 46140 47565 48447 53830 63420 64596 69210 80745 95130 96894 107660 116119 138420 161490 190260 193788 232238 242235 322980 348357 464476 484470 580595 696714 812833 968940 1045071 1161190 1393428 1625666 1741785 2090142 2322380 2438499 3251332 3483570 4064165 4180284 4876998 5225355 6967140 7315497 8128330 9753996 10450710 12192495 14630994 16256660 20901420 24384990 29261988 36577485 48769980 73154970 146309940
- Sum of all divisors σ(n): 511230720
- Sum of proper divisors (its aliquot sum) s(n): 364920780
- 146309940 is an abundant number, because the sum of its proper divisors (364920780) is greater than itself. Its abundance is 218610840
Bases of 146309940
- Binary: 10001011100010000011001101002
- Hexadecimal: 0x8B88334
- Base-36: 2F3XH0
Squares and roots of 146309940
- 146309940 squared (1463099402) is 21406598542803600
- 146309940 cubed (1463099403) is 3131998148401682147784000
-
The
square root of 146309940 is 12095.8645825753 -
The
cube root of 146309940 is 526.9360894285
Scales and comparisons
How big is 146309940?- 146,309,940 seconds is equal to 4 years, 33 weeks, 6 days, 9 hours, 39 minutes.
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To count from 1 to 146,309,940 would take you about six 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 146309940 cubic inches would be around 43.9 feet tall.
Recreational maths with 146309940
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