138148416
138,148,416 is an even composite number composed of four prime numbers multiplied together.
138148416 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 138148416:
26 × 38 × 7 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 47)See below for interesting mathematical facts about the number 138148416 from the Numbermatics database.
Names of 138148416
- Cardinal: 138148416 can be written as One hundred thirty-eight million, one hundred forty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38148416 × 108
Factors of 138148416
Divisors of 138148416
- Number of divisors d(n): 252
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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 47 48 54 56 63 64 72 81 84 94 96 108 112 126 141 144 162 168 188 189 192 216 224 243 252 282 288 324 329 336 376 378 423 432 448 486 504 564 567 576 648 658 672 729 752 756 846 864 972 987 1008 1128 1134 1269 1296 1316 1344 1458 1504 1512 1692 1701 1728 1944 1974 2016 2187 2256 2268 2538 2592 2632 2916 2961 3008 3024 3384 3402 3807 3888 3948 4032 4374 4512 4536 5076 5103 5184 5264 5832 5922 6048 6561 6768 6804 7614 7776 7896 8748 8883 9024 9072 10152 10206 10528 11421 11664 11844 12096 13122 13536 13608 15228 15309 15552 15792 17496 17766 18144 20304 20412 21056 22842 23328 23688 26244 26649 27072 27216 30456 30618 31584 34263 34992 35532 36288 40608 40824 45684 45927 46656 47376 52488 53298 54432 60912 61236 63168 68526 69984 71064 79947 81216 81648 91368 91854 94752 102789 104976 106596 108864 121824 122472 137052 139968 142128 159894 163296 182736 183708 189504 205578 209952 213192 239841 243648 244944 274104 284256 308367 319788 326592 365472 367416 411156 419904 426384 479682 489888 548208 568512 616734 639576 719523 730944 734832 822312 852768 959364 979776 1096416 1233468 1279152 1439046 1469664 1644624 1705536 1918728 2158569 2192832 2466936 2558304 2878092 2939328 3289248 3837456 4317138 4933872 5116608 5756184 6578496 7674912 8634276 9867744 11512368 15349824 17268552 19735488 23024736 34537104 46049472 69074208 138148416
- Sum of all divisors σ(n): 479925888
- Sum of proper divisors (its aliquot sum) s(n): 341777472
- 138148416 is an abundant number, because the sum of its proper divisors (341777472) is greater than itself. Its abundance is 203629056
Bases of 138148416
- Binary: 10000011101111111010010000002
- Hexadecimal: 0x83BFA40
- Base-36: 2A9000
Squares and roots of 138148416
- 138148416 squared (1381484162) is 19084984843309056
- 138148416 cubed (1381484163) is 2636560425487154284855296
-
The
square root of 138148416 is 11753.6554313967 -
The
cube root of 138148416 is 516.9501153439
Scales and comparisons
How big is 138148416?- 138,148,416 seconds is equal to 4 years, 20 weeks, 2 days, 22 hours, 33 minutes, 36 seconds.
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To count from 1 to 138,148,416 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 138148416 cubic inches would be around 43.1 feet tall.
Recreational maths with 138148416
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