138478600
138,478,600 is an even composite number composed of five prime numbers multiplied together.
138478600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138478600:
23 × 52 × 132 × 17 × 241
(2 × 2 × 2 × 5 × 5 × 13 × 13 × 17 × 241)See below for interesting mathematical facts about the number 138478600 from the Numbermatics database.
Names of 138478600
- Cardinal: 138478600 can be written as One hundred thirty-eight million, four hundred seventy-eight thousand, six hundred.
Scientific notation
- Scientific notation: 1.384786 × 108
Factors of 138478600
Divisors of 138478600
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 169 170 200 221 241 260 325 338 340 425 442 482 520 650 676 680 845 850 884 964 1105 1205 1300 1352 1690 1700 1768 1928 2210 2410 2600 2873 3133 3380 3400 4097 4225 4420 4820 5525 5746 6025 6266 6760 8194 8450 8840 9640 11050 11492 12050 12532 14365 15665 16388 16900 20485 22100 22984 24100 25064 28730 31330 32776 33800 40729 40970 44200 48200 53261 57460 62660 71825 78325 81458 81940 102425 106522 114920 125320 143650 156650 162916 163880 203645 204850 213044 266305 287300 313300 325832 407290 409700 426088 532610 574600 626600 692393 814580 819400 1018225 1065220 1331525 1384786 1629160 2036450 2130440 2663050 2769572 3461965 4072900 5326100 5539144 6923930 8145800 10652200 13847860 17309825 27695720 34619650 69239300 138478600
- Sum of all divisors σ(n): 370673820
- Sum of proper divisors (its aliquot sum) s(n): 232195220
- 138478600 is an abundant number, because the sum of its proper divisors (232195220) is greater than itself. Its abundance is 93716620
Bases of 138478600
- Binary: 10000100000100000100000010002
- Hexadecimal: 0x8410408
- Base-36: 2AG2RS
Squares and roots of 138478600
- 138478600 squared (1384786002) is 19176322657960000
- 138478600 cubed (1384786003) is 2655510314822579656000000
-
The
square root of 138478600 is 11767.6930619387 -
The
cube root of 138478600 is 517.3616361713
Scales and comparisons
How big is 138478600?- 138,478,600 seconds is equal to 4 years, 20 weeks, 6 days, 18 hours, 16 minutes, 40 seconds.
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To count from 1 to 138,478,600 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 138478600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138478600
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