13825828304640
13,825,828,304,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13825828304640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
13825828304640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13825828304640:
28 × 32 × 5 × 113 × 17 × 29 × 31 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 11 × 17 × 29 × 31 × 59)See below for interesting mathematical facts about the number 13825828304640 from the Numbermatics database.
Names of 13825828304640
- Cardinal: 13825828304640 can be written as Thirteen trillion, eight hundred twenty-five billion, eight hundred twenty-eight million, three hundred four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.382582830464 × 1013
Factors of 13825828304640
Divisors of 13825828304640
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 29 30 31 32 33 34 36 40 44 45 48 51 55 58 59 60 62 64 66 68 72 80 85 87 88 90 93 96 99 102 110 116 118 120 121 124 128 132 136 144 145 153 155 160 165 170 174 176 177 180 186 187 192 198 204 220 232 236 240 242 248 255 256 261 264 272 279 288 290 295 306 310 319 320 330 340 341 348 352 354 360 363 372 374 384 396 408 435 440 464 465 472 480 484 493 495 496 510 522 527 528 531 544 558 561 576 580 590 605 612 620 638 640 649 660 680 682 696 704 708 720 726 744 748 765 768 792 816 870 880 885 899 928 930 935 944 957 960 968 986 990 992 1003 1020 1023 1044 1054 1056 1062 1088 1089 1116 1122 1152 1160 1180 1210 1224 1240 1276 1280 1298 1305 1320 1331 1360 1364 1392 1395 1408 1416 1440 1452 1479 1488 1496 1530 1581 1584 1595 1632 1683 1705 1711 1740 1760 1770 1798 1815 1829 1856 1860 1870 1888 1914 1920 1936 1947 1972 1980 1984 2006 2040 2046 2057 2088 2108 2112 2124 2176 2178 2232 2244 2304 2320 2360 2420 2448 2465 2480 2552 2596 2610 2635 2640 2655 2662 2697 2720 2728 2784 2790 2805 2816 2832 2871 2880 2904 2958 2976 2992 3009 3060 3069 3162 3168 3190 3245 3264 3366 3410 3422 3480 3509 3520 3540 3596 3630 3658 3712 3720 3740 3751 3776 3828 3840 3872 3894 3944 3960 3968 3993 4012 4080 4092 4114 4176 4216 4224 4248 4352 4356 4437 4464 4488 4495 4640 4720 4743 4785 4840 4896 4930 4960 5015 5104 5115 5133 5192 5220 5270 5280 5310 5324 5394 5423 5440 5445 5456 5487 5568 5580 5610 5664 5742 5760 5797 5808 5841 5916 5952 5984 6018 6120 6138 6171 6324 6336 6380 6490 6528 6655 6732 6820 6844 6960 7018 7040 7080 7139 7192 7260 7316 7395 7424 7440 7480 7502 7552 7656 7744 7788 7888 7905 7920 7936 7986 8024 8091 8160 8184 8228 8352 8415 8432 8448 8496 8555 8712 8874 8928 8976 8990 9027 9145 9280 9440 9486 9570 9680 9735 9792 9860 9889 9920 10030 10208 10230 10266 10285 10384 10440 10527 10540 10560 10620 10648 10788 10846 10880 10890 10912 10974 11033 11136 11160 11220 11253 11328 11484 11520 11594 11616 11682 11832 11904 11968 11979 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72009522420 73934910720 74332410240 76810157248 78112024320 78555842640 79458783360 81328401792 83792898816 86411426904 89198892288 90364890880 95350540032 96012696560 101660502240 104741123520 108014283630 111498615360 114263043840 115215235872 117168036480 119188175040 125689348224 135547336320 139654831360 144019044840 148664820480 153620314496 157111685280 158917566720 162656803584 172822853808 192025393120 203321004480 209482247040 216028567260 222997230720 230430471744 234336072960 238376350080 251378696448 271094672640 288038089680 307240628992 314223370560 345645707616 384050786240 406642008960 418964494080 432057134520 445994461440 460860943488 476752700160 576076179360 628446741120 691291415232 768101572480 813284017920 864114269040 921721886976 1152152358720 1256893482240 1382582830464 1536203144960 1728228538080 2304304717440 2765165660928 3456457076160 4608609434880 6912914152320 13825828304640
- Sum of all divisors σ(n): 60499469721600
- Sum of proper divisors (its aliquot sum) s(n): 46673641416960
- 13825828304640 is an abundant number, because the sum of its proper divisors (46673641416960) is greater than itself. Its abundance is 32847813112320
Bases of 13825828304640
- Binary: 110010010011000100111001010110110111000000002
- Hexadecimal: 0xC931395B700
- Base-36: 4WFHX77K0
Squares and roots of 13825828304640
- 13825828304640 squared (138258283046402) is 191153528309384576645529600
- 13825828304640 cubed (138258283046403) is 2642855862231692806724826647802937344000
-
The
square root of 13825828304640 is 3718309.8720574647 -
The
cube root of 13825828304640 is 24001.0580000259
Scales and comparisons
How big is 13825828304640?- 13,825,828,304,640 seconds is equal to 439,618 years, 29 weeks, 5 days, 22 hours, 24 minutes.
-
To count from 1 to 13,825,828,304,640 would take you about one million, ninety-nine thousand and forty-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 13825828304640 cubic inches would be around 2000.1 feet tall.
Recreational maths with 13825828304640
- 13825828304640 backwards is 04640382852831
- The number of decimal digits it has is: 14
- The sum of 13825828304640's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13825828304640 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 13825828304640 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/13825828304640/
Chicago style:
Numbermatics. 2024. "Number 13825828304640 - Facts about the integer". https://numbermatics.com/n/13825828304640/
The information we have on file for 13825828304640 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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