137145664
137,145,664 is an even composite number composed of four prime numbers multiplied together.
137145664 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of fifty-six divisors.
Prime factorization of 137145664:
26 × 17 × 233 × 541
(2 × 2 × 2 × 2 × 2 × 2 × 17 × 233 × 541)See below for interesting mathematical facts about the number 137145664 from the Numbermatics database.
Names of 137145664
- Cardinal: 137145664 can be written as One hundred thirty-seven million, one hundred forty-five thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.37145664 × 108
Factors of 137145664
Divisors of 137145664
- Number of divisors d(n): 56
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Complete list of divisors:
1 2 4 8 16 17 32 34 64 68 136 233 272 466 541 544 932 1082 1088 1864 2164 3728 3961 4328 7456 7922 8656 9197 14912 15844 17312 18394 31688 34624 36788 63376 73576 126053 126752 147152 252106 253504 294304 504212 588608 1008424 2016848 2142901 4033696 4285802 8067392 8571604 17143208 34286416 68572832 137145664
- Sum of all divisors σ(n): 289928808
- Sum of proper divisors (its aliquot sum) s(n): 152783144
- 137145664 is an abundant number, because the sum of its proper divisors (152783144) is greater than itself. Its abundance is 15637480
Bases of 137145664
- Binary: 10000010110010101101010000002
- Hexadecimal: 0x82CAD40
- Base-36: 29NI9S
Squares and roots of 137145664
- 137145664 squared (1371456642) is 18808933154000896
- 137145664 cubed (1371456643) is 2579563626537067138514944
-
The
square root of 137145664 is 11710.9207152983 -
The
cube root of 137145664 is 515.6963139025
Scales and comparisons
How big is 137145664?- 137,145,664 seconds is equal to 4 years, 18 weeks, 5 days, 8 hours, 1 minute, 4 seconds.
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To count from 1 to 137,145,664 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 137145664 cubic inches would be around 43 feet tall.
Recreational maths with 137145664
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