13137408817523100
13,137,408,817,523,100 is an even composite number composed of five prime numbers multiplied together.
What does the number 13137408817523100 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
13137408817523100 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13137408817523100:
22 × 311 × 52 × 114 × 373
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 11 × 37 × 37 × 37)See below for interesting mathematical facts about the number 13137408817523100 from the Numbermatics database.
Names of 13137408817523100
- Cardinal: 13137408817523100 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, four hundred eight billion, eight hundred seventeen million, five hundred twenty-three thousand, one hundred.
Scientific notation
- Scientific notation: 1.31374088175231 × 1016
Factors of 13137408817523100
Divisors of 13137408817523100
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 37 44 45 50 54 55 60 66 74 75 81 90 99 100 108 110 111 121 132 135 148 150 162 165 180 185 198 220 222 225 242 243 270 275 297 300 324 330 333 363 370 396 405 407 444 450 484 486 495 540 550 555 594 605 660 666 675 726 729 740 810 814 825 891 900 925 972 990 999 1089 1100 1110 1188 1210 1215 1221 1331 1332 1350 1369 1452 1458 1485 1620 1628 1650 1665 1782 1815 1850 1980 1998 2025 2035 2178 2187 2220 2420 2430 2442 2475 2662 2673 2700 2738 2775 2916 2970 2997 3025 3267 3300 3330 3564 3630 3645 3663 3700 3993 3996 4050 4070 4107 4356 4374 4455 4477 4860 4884 4950 4995 5324 5346 5445 5476 5550 5940 5994 6050 6075 6105 6534 6561 6655 6660 6845 7260 7290 7326 7425 7986 8019 8100 8140 8214 8325 8748 8910 8954 8991 9075 9801 9900 9990 10175 10692 10890 10935 10989 11100 11979 11988 12100 12150 12210 12321 13068 13122 13310 13365 13431 13690 14580 14641 14652 14850 14985 15059 15972 16038 16335 16428 16650 17820 17908 17982 18150 18225 18315 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81095116157550 87582725450154 88766275794075 97314139389060 99525824375175 108573626591100 118355034392100 119430989250210 121642674236325 131374088175231 132701099166900 145971209083590 162190232315100 175165450900308 177532551588150 199051648750350 218956813625385 238861978500420 243285348472650 262748176350462 291942418167180 298577473125525 355065103176300 364928022708975 398103297500700 437913627250770 486570696945300 525496352700924 597154946251050 656870440876155 729856045417950 875827254501540 1094784068126925 1194309892502100 1313740881752310 1459712090835900 2189568136253850 2627481763504620 3284352204380775 4379136272507700 6568704408761550 13137408817523100
- Sum of all divisors σ(n): 48344700106612000
- Sum of proper divisors (its aliquot sum) s(n): 35207291289088900
- 13137408817523100 is an abundant number, because the sum of its proper divisors (35207291289088900) is greater than itself. Its abundance is 22069882471565800
Bases of 13137408817523100
- Binary: 1011101010110001100111010110011101011001101001100111002
- Hexadecimal: 0x2EAC6759D6699C
- Base-36: 3LCTMAK3XR0
Squares and roots of 13137408817523100
- 13137408817523100 squared (131374088175231002) is 172591510438733696593619033610000
- 13137408817523100 cubed (131374088175231003) is 2267405231067450223054515154775155455851391000000
-
The
square root of 13137408817523100 is 114618536.0991977597 -
The
cube root of 13137408817523100 is 235959.0133834915
Scales and comparisons
How big is 13137408817523100?- 13,137,408,817,523,100 seconds is equal to 417,728,963 years, 37 weeks, 4 days, 9 hours, 45 minutes.
-
To count from 1 to 13,137,408,817,523,100 would take you about one billion, two hundred fifty-three million, one hundred eighty-six thousand, eight hundred ninety-one 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 13137408817523100 cubic inches would be around 19663.3 feet tall.
Recreational maths with 13137408817523100
- 13137408817523100 backwards is 00132571880473131
- 13137408817523100 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13137408817523100's digits is 54
- More coming soon!
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The information we have on file for 13137408817523100 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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