138013626625
138,013,626,625 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138013626625 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
138013626625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138013626625:
53 × 72 × 17 × 67 × 73 × 271
(5 × 5 × 5 × 7 × 7 × 17 × 67 × 73 × 271)See below for interesting mathematical facts about the number 138013626625 from the Numbermatics database.
Names of 138013626625
- Cardinal: 138013626625 can be written as One hundred thirty-eight billion, thirteen million, six hundred twenty-six thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38013626625 × 1011
Factors of 138013626625
Divisors of 138013626625
- Number of divisors d(n): 192
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Complete list of divisors:
1 5 7 17 25 35 49 67 73 85 119 125 175 245 271 335 365 425 469 511 595 833 875 1139 1225 1241 1355 1675 1825 1897 2125 2345 2555 2975 3283 3577 4165 4607 4891 5695 6125 6205 6775 7973 8375 8687 9125 9485 11725 12775 13279 14875 16415 17885 18157 19783 20825 23035 24455 28475 31025 32249 33875 34237 39865 43435 47425 55811 58625 60809 63875 66395 82075 83147 89425 90785 98915 104125 115175 122275 127099 138481 142375 155125 161245 171185 199325 217175 225743 237125 239659 279055 304045 308669 331975 336311 410375 415735 447125 453925 494575 575875 582029 611375 635495 692405 806225 855925 889693 969367 996625 1085875 1128715 1198295 1325461 1395275 1520225 1543345 1659875 1681555 2078675 2160683 2269625 2354177 2472875 2910145 3177475 3462025 4031125 4074203 4279625 4448465 4846835 5643575 5991475 6627305 6976375 7601125 7716725 8407775 9278227 10393375 10803415 11770885 14550725 15124781 15887375 16479239 17310125 20371015 22242325 22532837 24234175 28217875 29957375 33136525 38583625 42038875 46391135 54017075 58854425 64947589 72753625 75623905 82396195 101855075 111211625 112664185 121170875 157729859 165682625 231955675 270085375 294272125 324737945 378119525 411980975 509275375 563320925 788649295 1104109013 1159778375 1623689725 1890597625 2059904875 2816604625 3943246475 5520545065 8118448625 19716232375 27602725325 138013626625
- Sum of all divisors σ(n): 219069287424
- Sum of proper divisors (its aliquot sum) s(n): 81055660799
- 138013626625 is a deficient number, because the sum of its proper divisors (81055660799) is less than itself. Its deficiency is 56957965826
Bases of 138013626625
- Binary: 100000001000100100000011010001000000012
- Hexadecimal: 0x202240D101
- Base-36: 1REHQZUP
Squares and roots of 138013626625
- 138013626625 squared (1380136266252) is 19047761134184908890625
- 138013626625 cubed (1380136266253) is 2628850593215582539340361712890625
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The
square root of 138013626625 is 371501.8527881119 -
The
cube root of 138013626625 is 5167.8193376313
Scales and comparisons
How big is 138013626625?- 138,013,626,625 seconds is equal to 4,388 years, 21 weeks, 22 hours, 30 minutes, 25 seconds.
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To count from 1 to 138,013,626,625 would take you about eight thousand, seven hundred seventy-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 138013626625 cubic inches would be around 430.7 feet tall.
Recreational maths with 138013626625
- 138013626625 backwards is 526626310831
- The number of decimal digits it has is: 12
- The sum of 138013626625's digits is 43
- More coming soon!
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