13735468131840
13,735,468,131,840 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13735468131840 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3600 divisors.
13735468131840 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 13735468131840:
29 × 34 × 5 × 72 × 132 × 19 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 13 × 13 × 19 × 421)See below for interesting mathematical facts about the number 13735468131840 from the Numbermatics database.
Names of 13735468131840
- Cardinal: 13735468131840 can be written as Thirteen trillion, seven hundred thirty-five billion, four hundred sixty-eight million, one hundred thirty-one thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.373546813184 × 1013
Factors of 13735468131840
Divisors of 13735468131840
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 26 27 28 30 32 35 36 38 39 40 42 45 48 49 52 54 56 57 60 63 64 65 70 72 76 78 80 81 84 90 91 95 96 98 104 105 108 112 114 117 120 126 128 130 133 135 140 144 147 152 156 160 162 168 169 171 180 182 189 190 192 195 196 208 210 216 224 228 234 240 245 247 252 256 260 266 270 273 280 285 288 294 304 312 315 320 324 336 338 342 351 360 364 378 380 384 390 392 399 405 416 420 421 432 441 448 455 456 468 480 490 494 504 507 512 513 520 532 540 546 560 567 570 576 585 588 608 624 630 637 640 648 665 672 676 684 702 720 728 735 741 756 760 768 780 784 798 810 819 832 840 842 845 855 864 882 896 910 912 931 936 945 960 980 988 1008 1014 1026 1040 1053 1064 1080 1092 1120 1134 1140 1152 1170 1176 1183 1197 1216 1235 1248 1260 1263 1274 1280 1296 1323 1330 1344 1352 1365 1368 1404 1440 1456 1470 1482 1512 1520 1521 1536 1539 1560 1568 1596 1620 1638 1664 1680 1684 1690 1710 1728 1729 1755 1764 1792 1820 1824 1862 1872 1890 1911 1920 1960 1976 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66035904480 70078919040 70438298112 71538896520 72291937536 72674434560 75469605120 76308156288 80324375040 81274959360 81758738880 84786840320 85846675824 88047872640 90364921920 93438558720 95385195360 98110486656 101744208384 103274196480 105657447168 107308344780 109011651840 114462234432 117397163520 120486562560 122638108320 127180260480 130813982208 132071808960 140157838080 143077793040 144583875072 150939210240 152616312576 163517477760 169573680640 171693351648 176095745280 180729843840 190770390720 196220973312 211314894336 214616689560 218023303680 228924468864 240973125120 245276216640 254360520960 264143617920 280315676160 286155586080 305232625152 327034955520 343386703296 352191490560 361459687680 381540781440 392441946624 429233379120 457848937728 490552433280 508721041920 528287235840 572311172160 654069911040 686773406592 722919375360 763081562880 858466758240 915697875456 981104866560 1056574471680 1144622344320 1373546813184 1526163125760 1716933516480 1962209733120 2289244688640 2747093626368 3433867032960 4578489377280 6867734065920 13735468131840
- Sum of all divisors σ(n): 65385379152720
- Sum of proper divisors (its aliquot sum) s(n): 51649911020880
- 13735468131840 is an abundant number, because the sum of its proper divisors (51649911020880) is greater than itself. Its abundance is 37914442889040
Bases of 13735468131840
- Binary: 110001111110000010011011001011100110000000002
- Hexadecimal: 0xC7E09B2E600
- Base-36: 4V9ZJ3400
Squares and roots of 13735468131840
- 13735468131840 squared (137354681318402) is 188663084800792219621785600
- 13735468131840 cubed (137354681318403) is 2591375788935909007400454446597013504000
-
The
square root of 13735468131840 is 3706139.2488464327 -
The
cube root of 13735468131840 is 23948.6565186155
Scales and comparisons
How big is 13735468131840?- 13,735,468,131,840 seconds is equal to 436,745 years, 20 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 13,735,468,131,840 would take you about one million, ninety-one thousand, eight hundred sixty-three 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 13735468131840 cubic inches would be around 1995.7 feet tall.
Recreational maths with 13735468131840
- 13735468131840 backwards is 04813186453731
- 13735468131840 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13735468131840's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13735468131840 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 13735468131840 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13735468131840/
Chicago style:
Numbermatics. 2024. "Number 13735468131840 - Facts about the integer". https://numbermatics.com/n/13735468131840/
The information we have on file for 13735468131840 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!
Keywords: Divisors of 13735468131840, math, Factors of 13735468131840, curriculum, school, college, exams, university, Prime factorization of 13735468131840, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, seven hundred thirty-five billion, four hundred sixty-eight million, one hundred thirty-one thousand, eight hundred forty.