40948131105
40,948,131,105 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 40948131105 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
40948131105 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 40948131105:
32 × 5 × 72 × 19 × 31 × 41 × 769
(3 × 3 × 5 × 7 × 7 × 19 × 31 × 41 × 769)See below for interesting mathematical facts about the number 40948131105 from the Numbermatics database.
Names of 40948131105
- Cardinal: 40948131105 can be written as Forty billion, nine hundred forty-eight million, one hundred thirty-one thousand, one hundred five.
Scientific notation
- Scientific notation: 4.0948131105 × 1010
Factors of 40948131105
Divisors of 40948131105
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 7 9 15 19 21 31 35 41 45 49 57 63 93 95 105 123 133 147 155 171 205 217 245 279 285 287 315 369 399 441 465 589 615 651 665 735 769 779 855 861 931 1085 1197 1271 1395 1435 1519 1767 1845 1953 1995 2009 2205 2307 2337 2583 2793 2945 3255 3813 3845 3895 4123 4305 4557 4655 5301 5383 5453 5985 6027 6355 6921 7011 7595 8379 8835 8897 9765 10045 11439 11535 11685 12369 12915 13671 13965 14611 16149 16359 18081 19065 20615 22785 23839 24149 26505 26691 26915 27265 28861 30135 31529 34605 35055 37107 37681 38171 41895 43833 44485 48447 49077 57195 61845 62279 68355 71517 72447 73055 80073 80745 81795 86583 90405 94587 102277 113043 114513 119195 120745 131499 133455 144305 157645 166873 169043 185535 186837 188405 190855 214551 217341 219165 220703 242235 245385 259749 283761 306831 311395 339129 343539 357585 362235 400365 432915 452941 472935 500619 507129 511385 560511 565215 572565 599051 657495 662109 715939 834365 845215 920493 934185 977399 1072755 1086705 1103515 1168111 1183301 1298745 1358823 1418805 1501857 1521387 1534155 1544921 1695645 1717695 1797153 1986327 2147817 2264705 2503095 2535645 2802555 2932197 2995255 3170587 3310545 3504333 3549903 3579695 4076469 4193357 4602465 4634763 4886995 5391459 5840555 5916505 6443451 6794115 6841793 7509285 7606935 7724605 8796591 8985765 9511761 9931635 10512999 10649709 10739085 12580071 13904289 14660985 15852935 17521665 17749515 18570581 20382345 20525379 20966785 22194109 23173815 26957295 28535283 29353499 32217255 34208965 37740213 43982955 47558805 47892551 52564995 53248545 55711743 61576137 62900355 66582327 69521445 88060497 92852905 102626895 110970545 129994067 142676415 143677653 146767495 167135229 188701065 199746981 239462755 264181491 278558715 307880685 332911635 389982201 431032959 440302485 649970335 718388265 835676145 909958469 998734905 1169946603 1320907455 1949911005 2155164795 2729875407 4549792345 5849733015 8189626221 13649377035 40948131105
- Sum of all divisors σ(n): 92021529600
- Sum of proper divisors (its aliquot sum) s(n): 51073398495
- 40948131105 is an abundant number, because the sum of its proper divisors (51073398495) is greater than itself. Its abundance is 10125267390
Bases of 40948131105
- Binary: 1001100010001011001011100101001000012
- Hexadecimal: 0x988B2E521
- Base-36: IT7GK69
Squares and roots of 40948131105
- 40948131105 squared (409481311052) is 1676749440992268521025
- 40948131105 cubed (409481311053) is 68659755939986872690296148982625
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The
square root of 40948131105 is 202356.4456719875 -
The
cube root of 40948131105 is 3446.7625192935
Scales and comparisons
How big is 40948131105?- 40,948,131,105 seconds is equal to 1,302 years, 1 week, 1 day, 16 hours, 51 minutes, 45 seconds.
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To count from 1 to 40,948,131,105 would take you about two thousand, six hundred four 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 40948131105 cubic inches would be around 287.2 feet tall.
Recreational maths with 40948131105
- 40948131105 backwards is 50113184904
- The number of decimal digits it has is: 11
- The sum of 40948131105's digits is 36
- More coming soon!
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