138305200
138,305,200 is an even composite number composed of five prime numbers multiplied together.
138305200 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 138305200:
24 × 52 × 11 × 17 × 432
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 17 × 43 × 43)See below for interesting mathematical facts about the number 138305200 from the Numbermatics database.
Names of 138305200
- Cardinal: 138305200 can be written as One hundred thirty-eight million, three hundred five thousand, two hundred.
Scientific notation
- Scientific notation: 1.383052 × 108
Factors of 138305200
Divisors of 138305200
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 34 40 43 44 50 55 68 80 85 86 88 100 110 136 170 172 176 187 200 215 220 272 275 340 344 374 400 425 430 440 473 550 680 688 731 748 850 860 880 935 946 1075 1100 1360 1462 1496 1700 1720 1849 1870 1892 2150 2200 2365 2924 2992 3400 3440 3655 3698 3740 3784 4300 4400 4675 4730 5848 6800 7310 7396 7480 7568 8041 8600 9245 9350 9460 11696 11825 14620 14792 14960 16082 17200 18275 18490 18700 18920 20339 23650 29240 29584 31433 32164 36550 36980 37400 37840 40205 40678 46225 47300 58480 62866 64328 73100 73960 74800 80410 81356 92450 94600 101695 125732 128656 146200 147920 157165 160820 162712 184900 189200 201025 203390 251464 292400 314330 321640 325424 345763 369800 402050 406780 502928 508475 628660 643280 691526 739600 785825 804100 813560 1016950 1257320 1383052 1571650 1608200 1627120 1728815 2033900 2514640 2766104 3143300 3216400 3457630 4067800 5532208 6286600 6915260 8135600 8644075 12573200 13830520 17288150 27661040 34576300 69152600 138305200
- Sum of all divisors σ(n): 392941368
- Sum of proper divisors (its aliquot sum) s(n): 254636168
- 138305200 is an abundant number, because the sum of its proper divisors (254636168) is greater than itself. Its abundance is 116330968
Bases of 138305200
- Binary: 10000011111001011110101100002
- Hexadecimal: 0x83E5EB0
- Base-36: 2ACCZ4
Squares and roots of 138305200
- 138305200 squared (1383052002) is 19128328347040000
- 138305200 cubed (1383052003) is 2645547277703036608000000
-
The
square root of 138305200 is 11760.3231248125 -
The
cube root of 138305200 is 517.1456028437
Scales and comparisons
How big is 138305200?- 138,305,200 seconds is equal to 4 years, 20 weeks, 4 days, 18 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,305,200 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 138305200 cubic inches would be around 43.1 feet tall.
Recreational maths with 138305200
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