138745600
138,745,600 is an even composite number composed of five prime numbers multiplied together.
138745600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138745600:
28 × 52 × 7 × 19 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 19 × 163)See below for interesting mathematical facts about the number 138745600 from the Numbermatics database.
Names of 138745600
- Cardinal: 138745600 can be written as One hundred thirty-eight million, seven hundred forty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.387456 × 108
Factors of 138745600
Divisors of 138745600
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 64 70 76 80 95 100 112 128 133 140 152 160 163 175 190 200 224 256 266 280 304 320 326 350 380 400 448 475 532 560 608 640 652 665 700 760 800 815 896 950 1064 1120 1141 1216 1280 1304 1330 1400 1520 1600 1630 1792 1900 2128 2240 2282 2432 2608 2660 2800 3040 3097 3200 3260 3325 3800 4075 4256 4480 4564 4864 5216 5320 5600 5705 6080 6194 6400 6520 6650 7600 8150 8512 8960 9128 10432 10640 11200 11410 12160 12388 13040 13300 15200 15485 16300 17024 18256 20864 21280 21679 22400 22820 24320 24776 26080 26600 28525 30400 30970 32600 34048 36512 41728 42560 43358 44800 45640 49552 52160 53200 57050 60800 61940 65200 73024 77425 85120 86716 91280 99104 104320 106400 108395 114100 121600 123880 130400 146048 154850 170240 173432 182560 198208 208640 212800 216790 228200 247760 260800 292096 309700 346864 365120 396416 425600 433580 456400 495520 521600 541975 619400 693728 730240 792832 851200 867160 912800 991040 1043200 1083950 1238800 1387456 1460480 1734320 1825600 1982080 2167900 2477600 2774912 3468640 3651200 3964160 4335800 4955200 5549824 6937280 7302400 8671600 9910400 13874560 17343200 19820800 27749120 34686400 69372800 138745600
- Sum of all divisors σ(n): 415667840
- Sum of proper divisors (its aliquot sum) s(n): 276922240
- 138745600 is an abundant number, because the sum of its proper divisors (276922240) is greater than itself. Its abundance is 138176640
Bases of 138745600
- Binary: 10000100010100010111000000002
- Hexadecimal: 0x8451700
- Base-36: 2ALSSG
Squares and roots of 138745600
- 138745600 squared (1387456002) is 19250341519360000
- 138745600 cubed (1387456003) is 2670900184308514816000000
-
The
square root of 138745600 is 11779.0322183105 -
The
cube root of 138745600 is 517.6939302883
Scales and comparisons
How big is 138745600?- 138,745,600 seconds is equal to 4 years, 21 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,745,600 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 138745600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138745600
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