13428356991328125
13,428,356,991,328,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13428356991328125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
13428356991328125 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13428356991328125:
35 × 57 × 7 × 113 × 312 × 79
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 31 × 31 × 79)See below for interesting mathematical facts about the number 13428356991328125 from the Numbermatics database.
Names of 13428356991328125
- Cardinal: 13428356991328125 can be written as Thirteen quadrillion, four hundred twenty-eight trillion, three hundred fifty-six billion, nine hundred ninety-one million, three hundred twenty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.3428356991328125 × 1016
Factors of 13428356991328125
Divisors of 13428356991328125
- Number of divisors d(n): 2304
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Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 31 33 35 45 55 63 75 77 79 81 93 99 105 121 125 135 155 165 175 189 217 225 231 237 243 275 279 297 315 341 363 375 385 395 405 465 495 525 553 567 605 625 651 675 693 711 775 825 837 847 869 875 891 945 961 1023 1085 1089 1125 1155 1185 1215 1331 1375 1395 1485 1575 1659 1701 1705 1815 1875 1925 1953 1975 2025 2079 2133 2325 2387 2449 2475 2511 2541 2607 2625 2673 2765 2835 2883 3025 3069 3125 3255 3267 3375 3465 3555 3751 3875 3993 4125 4185 4235 4345 4375 4455 4725 4805 4977 5115 5425 5445 5625 5775 5859 5925 6075 6083 6237 6399 6655 6727 6875 6975 7161 7347 7425 7533 7623 7821 7875 8295 8505 8525 8649 9075 9207 9317 9375 9559 9625 9765 9801 9875 10125 10395 10571 10665 11253 11625 11935 11979 12245 12375 12555 12705 13035 13125 13365 13825 14175 14415 14931 15125 15345 15625 16275 16335 16875 17143 17325 17577 17775 18249 18711 18755 19197 19375 19965 20181 20625 20925 21175 21483 21725 21875 22041 22275 22869 23463 23625 24025 24885 25575 25947 26257 26939 27125 27225 27621 27951 28125 28677 28875 29295 29403 29625 30375 30415 31185 31713 31995 33275 33635 33759 34375 34875 35805 35937 36735 37125 37665 38115 39105 39375 41261 41475 42525 42625 43245 44793 45375 46035 46585 46875 47795 48125 48825 49005 49375 50625 51429 51975 52731 52855 53325 54747 56265 58125 59675 59895 60543 61225 61875 62775 63525 64449 65175 65625 66123 66825 66913 68607 69125 70389 70875 72075 73997 74655 75625 75919 76725 77841 78125 78771 80817 81375 81675 82863 83853 84375 85715 86031 86625 87885 88875 91245 93555 93775 95139 95985 96875 99825 100905 101277 103125 104625 105149 105875 107415 107811 108625 109375 110205 111375 114345 116281 117315 118125 120125 123783 124425 127875 129735 131285 134379 134695 135625 136125 138105 139755 140625 143385 144375 146475 147015 148125 151875 152075 154287 155925 158565 159975 164241 166375 168175 168795 171875 174375 179025 179685 181629 183675 185625 188325 188573 190575 193347 195525 196875 198369 200739 205821 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1492039665703125 1918336713046875 2685671398265625 4476118997109375 13428356991328125
- Sum of all divisors σ(n): 33072773333483520
- Sum of proper divisors (its aliquot sum) s(n): 19644416342155395
- 13428356991328125 is an abundant number, because the sum of its proper divisors (19644416342155395) is greater than itself. Its abundance is 6216059350827270
Bases of 13428356991328125
- Binary: 1011111011010100000101000000000110001010011111011111012
- Hexadecimal: 0x2FB50500629F7D
- Base-36: 3O7YE1EQET9
Squares and roots of 13428356991328125
- 13428356991328125 squared (134283569913281252) is 180320771486550933356451416015625
- 13428356991328125 cubed (134283569913281253) is 2421411692473107441558703992212852954864501953125
-
The
square root of 13428356991328125 is 115880787.8439222771 -
The
cube root of 13428356991328125 is 237688.2023878151
Scales and comparisons
How big is 13428356991328125?- 13,428,356,991,328,125 seconds is equal to 426,980,215 years, 35 weeks, 5 days, 17 hours, 48 minutes, 45 seconds.
-
To count from 1 to 13,428,356,991,328,125 would take you about one billion, two hundred eighty million, nine hundred forty thousand, six hundred forty-seven 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 13428356991328125 cubic inches would be around 19807.4 feet tall.
Recreational maths with 13428356991328125
- 13428356991328125 backwards is 52182319965382431
- The number of decimal digits it has is: 17
- The sum of 13428356991328125's digits is 72
- More coming soon!
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"Number 13428356991328125 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 13428356991328125 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13428356991328125/
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The information we have on file for 13428356991328125 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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