148738128
148,738,128 is an even composite number composed of five prime numbers multiplied together.
148738128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 148738128:
24 × 3 × 72 × 11 × 5749
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 5749)See below for interesting mathematical facts about the number 148738128 from the Numbermatics database.
Names of 148738128
- Cardinal: 148738128 can be written as One hundred forty-eight million, seven hundred thirty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.48738128 × 108
Factors of 148738128
Divisors of 148738128
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 392 462 528 539 588 616 784 924 1078 1176 1232 1617 1848 2156 2352 3234 3696 4312 5749 6468 8624 11498 12936 17247 22996 25872 34494 40243 45992 63239 68988 80486 91984 120729 126478 137976 160972 189717 241458 252956 275952 281701 321944 379434 442673 482916 505912 563402 643888 758868 845103 885346 965832 1011824 1126804 1328019 1517736 1690206 1770692 1931664 2253608 2656038 3035472 3098711 3380412 3541384 4507216 5312076 6197422 6760824 7082768 9296133 10624152 12394844 13521648 18592266 21248304 24789688 37184532 49579376 74369064 148738128
- Sum of all divisors σ(n): 487692000
- Sum of proper divisors (its aliquot sum) s(n): 338953872
- 148738128 is an abundant number, because the sum of its proper divisors (338953872) is greater than itself. Its abundance is 190215744
Bases of 148738128
- Binary: 10001101110110010000010100002
- Hexadecimal: 0x8DD9050
- Base-36: 2GJZ2O
Squares and roots of 148738128
- 148738128 squared (1487381282) is 22123030720944384
- 148738128 cubed (1487381283) is 3290538175119758068273152
-
The
square root of 148738128 is 12195.8242033903 -
The
cube root of 148738128 is 529.8351546195
Scales and comparisons
How big is 148738128?- 148,738,128 seconds is equal to 4 years, 37 weeks, 6 days, 12 hours, 8 minutes, 48 seconds.
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To count from 1 to 148,738,128 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 148738128 cubic inches would be around 44.2 feet tall.
Recreational maths with 148738128
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