138792948
138,792,948 is an even composite number composed of six prime numbers multiplied together.
138792948 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138792948:
22 × 3 × 7 × 192 × 23 × 199
(2 × 2 × 3 × 7 × 19 × 19 × 23 × 199)See below for interesting mathematical facts about the number 138792948 from the Numbermatics database.
Names of 138792948
- Cardinal: 138792948 can be written as One hundred thirty-eight million, seven hundred ninety-two thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 1.38792948 × 108
Factors of 138792948
Divisors of 138792948
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 12 14 19 21 23 28 38 42 46 57 69 76 84 92 114 133 138 161 199 228 266 276 322 361 398 399 437 483 532 597 644 722 796 798 874 966 1083 1194 1311 1393 1444 1596 1748 1932 2166 2388 2527 2622 2786 3059 3781 4179 4332 4577 5054 5244 5572 6118 7562 7581 8303 8358 9154 9177 10108 11343 12236 13731 15124 15162 16606 16716 18308 18354 22686 24909 26467 27462 30324 32039 33212 36708 45372 49818 52934 54924 58121 64078 71839 79401 86963 96117 99636 105868 116242 128156 143678 158802 173926 174363 192234 215517 232484 260889 287356 317604 347852 348726 384468 431034 502873 521778 608741 697452 862068 1005746 1043556 1217482 1508619 1652297 1826223 2011492 2434964 3017238 3304594 3652446 4956891 6034476 6609188 7304892 9913782 11566079 19827564 23132158 34698237 46264316 69396474 138792948
- Sum of all divisors σ(n): 409651200
- Sum of proper divisors (its aliquot sum) s(n): 270858252
- 138792948 is an abundant number, because the sum of its proper divisors (270858252) is greater than itself. Its abundance is 132065304
Bases of 138792948
- Binary: 10000100010111001111111101002
- Hexadecimal: 0x845CFF4
- Base-36: 2AMTBO
Squares and roots of 138792948
- 138792948 squared (1387929482) is 19263482414530704
- 138792948 cubed (1387929483) is 2673635513058874444675392
-
The
square root of 138792948 is 11781.0418894085 -
The
cube root of 138792948 is 517.7528125987
Scales and comparisons
How big is 138792948?- 138,792,948 seconds is equal to 4 years, 21 weeks, 3 days, 9 hours, 35 minutes, 48 seconds.
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To count from 1 to 138,792,948 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 138792948 cubic inches would be around 43.1 feet tall.
Recreational maths with 138792948
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