137438856
137,438,856 is an even composite number composed of four prime numbers multiplied together.
137438856 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 137438856:
23 × 35 × 19 × 612
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 19 × 61 × 61)See below for interesting mathematical facts about the number 137438856 from the Numbermatics database.
Names of 137438856
- Cardinal: 137438856 can be written as One hundred thirty-seven million, four hundred thirty-eight thousand, eight hundred fifty-six.
Scientific notation
- Scientific notation: 1.37438856 × 108
Factors of 137438856
Divisors of 137438856
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 61 72 76 81 108 114 122 152 162 171 183 216 228 243 244 324 342 366 456 486 488 513 549 648 684 732 972 1026 1098 1159 1368 1464 1539 1647 1944 2052 2196 2318 3078 3294 3477 3721 4104 4392 4617 4636 4941 6156 6588 6954 7442 9234 9272 9882 10431 11163 12312 13176 13908 14823 14884 18468 19764 20862 22326 27816 29646 29768 31293 33489 36936 39528 41724 44652 59292 62586 66978 70699 83448 89304 93879 100467 118584 125172 133956 141398 187758 200934 212097 250344 267912 281637 282796 301401 375516 401868 424194 563274 565592 602802 636291 751032 803736 848388 904203 1126548 1205604 1272582 1696776 1808406 1908873 2253096 2411208 2545164 3616812 3817746 5090328 5726619 7233624 7635492 11453238 15270984 17179857 22906476 34359714 45812952 68719428 137438856
- Sum of all divisors σ(n): 413103600
- Sum of proper divisors (its aliquot sum) s(n): 275664744
- 137438856 is an abundant number, because the sum of its proper divisors (275664744) is greater than itself. Its abundance is 138225888
Bases of 137438856
- Binary: 10000011000100100110100010002
- Hexadecimal: 0x8312688
- Base-36: 29TSI0
Squares and roots of 137438856
- 137438856 squared (1374388562) is 18889439138588736
- 137438856 cubed (1374388563) is 2596142905689261330326016
-
The
square root of 137438856 is 11723.4319207303 -
The
cube root of 137438856 is 516.0635400391
Scales and comparisons
How big is 137438856?- 137,438,856 seconds is equal to 4 years, 19 weeks, 1 day, 17 hours, 27 minutes, 36 seconds.
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To count from 1 to 137,438,856 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 137438856 cubic inches would be around 43 feet tall.
Recreational maths with 137438856
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