145813200
145,813,200 is an even composite number composed of five prime numbers multiplied together.
145813200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 145813200:
24 × 3 × 52 × 132 × 719
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 719)See below for interesting mathematical facts about the number 145813200 from the Numbermatics database.
Names of 145813200
- Cardinal: 145813200 can be written as One hundred forty-five million, eight hundred thirteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.458132 × 108
Factors of 145813200
Divisors of 145813200
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 169 195 200 208 240 260 300 312 325 338 390 400 507 520 600 624 650 676 719 780 845 975 1014 1040 1200 1300 1352 1438 1560 1690 1950 2028 2157 2535 2600 2704 2876 3120 3380 3595 3900 4056 4225 4314 5070 5200 5752 6760 7190 7800 8112 8450 8628 9347 10140 10785 11504 12675 13520 14380 15600 16900 17256 17975 18694 20280 21570 25350 28041 28760 33800 34512 35950 37388 40560 43140 46735 50700 53925 56082 57520 67600 71900 74776 86280 93470 101400 107850 112164 121511 140205 143800 149552 172560 186940 202800 215700 224328 233675 243022 280410 287600 364533 373880 431400 448656 467350 486044 560820 607555 701025 729066 747760 862800 934700 972088 1121640 1215110 1402050 1458132 1822665 1869400 1944176 2243280 2430220 2804100 2916264 3037775 3645330 3738800 4860440 5608200 5832528 6075550 7290660 9113325 9720880 11216400 12151100 14581320 18226650 24302200 29162640 36453300 48604400 72906600 145813200
- Sum of all divisors σ(n): 506485440
- Sum of proper divisors (its aliquot sum) s(n): 360672240
- 145813200 is an abundant number, because the sum of its proper divisors (360672240) is greater than itself. Its abundance is 214859040
Bases of 145813200
- Binary: 10001011000011101110110100002
- Hexadecimal: 0x8B0EED0
- Base-36: 2ETA6O
Squares and roots of 145813200
- 145813200 squared (1458132002) is 21261489294240000
- 145813200 cubed (1458132003) is 3100205790758875968000000
-
The
square root of 145813200 is 12075.3136605225 -
The
cube root of 145813200 is 526.3390759521
Scales and comparisons
How big is 145813200?- 145,813,200 seconds is equal to 4 years, 33 weeks, 15 hours, 40 minutes.
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To count from 1 to 145,813,200 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 145813200 cubic inches would be around 43.9 feet tall.
Recreational maths with 145813200
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