138374775
138,374,775 is an odd composite number composed of five prime numbers multiplied together.
138374775 is an odd 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 138374775:
32 × 52 × 73 × 11 × 163
(3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 163)See below for interesting mathematical facts about the number 138374775 from the Numbermatics database.
Names of 138374775
- Cardinal: 138374775 can be written as One hundred thirty-eight million, three hundred seventy-four thousand, seven hundred seventy-five.
Scientific notation
- Scientific notation: 1.38374775 × 108
Factors of 138374775
Divisors of 138374775
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 105 147 163 165 175 225 231 245 275 315 343 385 441 489 495 525 539 693 735 815 825 1029 1141 1155 1225 1467 1575 1617 1715 1793 1925 2205 2445 2475 2695 3087 3423 3465 3675 3773 4075 4851 5145 5379 5705 5775 7335 7987 8085 8575 8965 10269 11025 11319 12225 12551 13475 15435 16137 17115 17325 18865 23961 24255 25725 26895 28525 33957 36675 37653 39935 40425 44825 51345 55909 56595 62755 71883 77175 80685 85575 87857 94325 112959 119805 121275 134475 167727 169785 188265 199675 256725 263571 279545 282975 313775 359415 403425 439285 503181 564795 599025 614999 790713 838635 848925 941325 1317855 1397725 1797075 1844997 2196425 2515905 2823975 3074995 3953565 4193175 5534991 6589275 9224985 12579525 15374975 19767825 27674955 46124925 138374775
- Sum of all divisors σ(n): 317241600
- Sum of proper divisors (its aliquot sum) s(n): 178866825
- 138374775 is an abundant number, because the sum of its proper divisors (178866825) is greater than itself. Its abundance is 40492050
Bases of 138374775
- Binary: 10000011111101101110011101112
- Hexadecimal: 0x83F6E77
- Base-36: 2ADUNR
Squares and roots of 138374775
- 138374775 squared (1383747752) is 19147578356300625
- 138374775 cubed (1383747753) is 2649541846847968816734375
-
The
square root of 138374775 is 11763.2807923641 -
The
cube root of 138374775 is 517.2323057143
Scales and comparisons
How big is 138374775?- 138,374,775 seconds is equal to 4 years, 20 weeks, 5 days, 13 hours, 26 minutes, 15 seconds.
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To count from 1 to 138,374,775 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 138374775 cubic inches would be around 43.1 feet tall.
Recreational maths with 138374775
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