148635648
148,635,648 is an even composite number composed of three prime numbers multiplied together.
148635648 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred ninety divisors.
Prime factorization of 148635648:
218 × 34 × 7
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7)See below for interesting mathematical facts about the number 148635648 from the Numbermatics database.
Names of 148635648
- Cardinal: 148635648 can be written as One hundred forty-eight million, six hundred thirty-five thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.48635648 × 108
Factors of 148635648
Divisors of 148635648
- Number of divisors d(n): 190
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 256 288 324 336 378 384 432 448 504 512 567 576 648 672 756 768 864 896 1008 1024 1134 1152 1296 1344 1512 1536 1728 1792 2016 2048 2268 2304 2592 2688 3024 3072 3456 3584 4032 4096 4536 4608 5184 5376 6048 6144 6912 7168 8064 8192 9072 9216 10368 10752 12096 12288 13824 14336 16128 16384 18144 18432 20736 21504 24192 24576 27648 28672 32256 32768 36288 36864 41472 43008 48384 49152 55296 57344 64512 65536 72576 73728 82944 86016 96768 98304 110592 114688 129024 131072 145152 147456 165888 172032 193536 196608 221184 229376 258048 262144 290304 294912 331776 344064 387072 393216 442368 458752 516096 580608 589824 663552 688128 774144 786432 884736 917504 1032192 1161216 1179648 1327104 1376256 1548288 1769472 1835008 2064384 2322432 2359296 2654208 2752512 3096576 3538944 4128768 4644864 5308416 5505024 6193152 7077888 8257536 9289728 10616832 12386304 16515072 18579456 21233664 24772608 37158912 49545216 74317824 148635648
- Sum of all divisors σ(n): 507509816
- Sum of proper divisors (its aliquot sum) s(n): 358874168
- 148635648 is an abundant number, because the sum of its proper divisors (358874168) is greater than itself. Its abundance is 210238520
Bases of 148635648
- Binary: 10001101110000000000000000002
- Hexadecimal: 0x8DC0000
- Base-36: 2GHS00
Squares and roots of 148635648
- 148635648 squared (1486356482) is 22092555856379904
- 148635648 cubed (1486356483) is 3283741355689221965217792
-
The
square root of 148635648 is 12191.6220413855 -
The
cube root of 148635648 is 529.7134418651
Scales and comparisons
How big is 148635648?- 148,635,648 seconds is equal to 4 years, 37 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 148,635,648 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 148635648 cubic inches would be around 44.1 feet tall.
Recreational maths with 148635648
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