146530080
146,530,080 is an even composite number composed of five prime numbers multiplied together.
146530080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 146530080:
25 × 33 × 5 × 107 × 317
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 107 × 317)See below for interesting mathematical facts about the number 146530080 from the Numbermatics database.
Names of 146530080
- Cardinal: 146530080 can be written as One hundred forty-six million, five hundred thirty thousand and eighty.
Scientific notation
- Scientific notation: 1.4653008 × 108
Factors of 146530080
Divisors of 146530080
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 107 108 120 135 144 160 180 214 216 240 270 288 317 321 360 428 432 480 535 540 634 642 720 856 864 951 963 1070 1080 1268 1284 1440 1585 1605 1712 1902 1926 2140 2160 2536 2568 2853 2889 3170 3210 3424 3804 3852 4280 4320 4755 4815 5072 5136 5706 5778 6340 6420 7608 7704 8559 8560 9510 9630 10144 10272 11412 11556 12680 12840 14265 14445 15216 15408 17118 17120 19020 19260 22824 23112 25360 25680 28530 28890 30432 30816 33919 34236 38040 38520 42795 45648 46224 50720 51360 57060 57780 67838 68472 76080 77040 85590 91296 92448 101757 114120 115560 135676 136944 152160 154080 169595 171180 203514 228240 231120 271352 273888 305271 339190 342360 407028 456480 462240 508785 542704 610542 678380 684720 814056 915813 1017570 1085408 1221084 1356760 1369440 1526355 1628112 1831626 2035140 2442168 2713520 3052710 3256224 3663252 4070280 4579065 4884336 5427040 6105420 7326504 8140560 9158130 9768672 12210840 14653008 16281120 18316260 24421680 29306016 36632520 48843360 73265040 146530080
- Sum of all divisors σ(n): 519281280
- Sum of proper divisors (its aliquot sum) s(n): 372751200
- 146530080 is an abundant number, because the sum of its proper divisors (372751200) is greater than itself. Its abundance is 226221120
Bases of 146530080
- Binary: 10001011101111011111001000002
- Hexadecimal: 0x8BBDF20
- Base-36: 2F8NC0
Squares and roots of 146530080
- 146530080 squared (1465300802) is 21471064344806400
- 146530080 cubed (1465300803) is 3146156776129629376512000
-
The
square root of 146530080 is 12104.9609664799 -
The
cube root of 146530080 is 527.2002354849
Scales and comparisons
How big is 146530080?- 146,530,080 seconds is equal to 4 years, 34 weeks, 1 day, 22 hours, 48 minutes.
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To count from 1 to 146,530,080 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 146530080 cubic inches would be around 43.9 feet tall.
Recreational maths with 146530080
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