148728320
148,728,320 is an even composite number composed of five prime numbers multiplied together.
148728320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 148728320:
29 × 5 × 13 × 41 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 41 × 109)See below for interesting mathematical facts about the number 148728320 from the Numbermatics database.
Names of 148728320
- Cardinal: 148728320 can be written as One hundred forty-eight million, seven hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.4872832 × 108
Factors of 148728320
Divisors of 148728320
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 41 52 64 65 80 82 104 109 128 130 160 164 205 208 218 256 260 320 328 410 416 436 512 520 533 545 640 656 820 832 872 1040 1066 1090 1280 1312 1417 1640 1664 1744 2080 2132 2180 2560 2624 2665 2834 3280 3328 3488 4160 4264 4360 4469 5248 5330 5668 6560 6656 6976 7085 8320 8528 8720 8938 10496 10660 11336 13120 13952 14170 16640 17056 17440 17876 20992 21320 22345 22672 26240 27904 28340 33280 34112 34880 35752 42640 44690 45344 52480 55808 56680 58097 68224 69760 71504 85280 89380 90688 104960 113360 116194 136448 139520 143008 170560 178760 181376 226720 232388 272896 279040 286016 290485 341120 357520 362752 453440 464776 572032 580970 682240 715040 725504 906880 929552 1144064 1161940 1364480 1430080 1813760 1859104 2288128 2323880 2860160 3627520 3718208 4647760 5720320 7436416 9295520 11440640 14872832 18591040 29745664 37182080 74364160 148728320
- Sum of all divisors σ(n): 397005840
- Sum of proper divisors (its aliquot sum) s(n): 248277520
- 148728320 is an abundant number, because the sum of its proper divisors (248277520) is greater than itself. Its abundance is 99549200
Bases of 148728320
- Binary: 10001101110101101010000000002
- Hexadecimal: 0x8DD6A00
- Base-36: 2GJRI8
Squares and roots of 148728320
- 148728320 squared (1487283202) is 22120113170022400
- 148728320 cubed (1487283203) is 3289887269987305914368000
-
The
square root of 148728320 is 12195.4220919165 -
The
cube root of 148728320 is 529.8235083399
Scales and comparisons
How big is 148728320?- 148,728,320 seconds is equal to 4 years, 37 weeks, 6 days, 9 hours, 25 minutes, 20 seconds.
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To count from 1 to 148,728,320 would take you about seven 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 148728320 cubic inches would be around 44.2 feet tall.
Recreational maths with 148728320
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