13812309586944
13,812,309,586,944 is an even composite number composed of eight prime numbers multiplied together.
13812309586944 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 13812309586944:
210 × 32 × 11 × 17 × 37 × 53 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 17 × 37 × 53 × 61 × 67)See below for interesting mathematical facts about the number 13812309586944 from the Numbermatics database.
Names of 13812309586944
- Cardinal: 13812309586944 can be written as Thirteen trillion, eight hundred twelve billion, three hundred nine million, five hundred eighty-six thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.3812309586944 × 1013
Factors of 13812309586944
Divisors of 13812309586944
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 37 44 48 51 53 61 64 66 67 68 72 74 88 96 99 102 106 111 122 128 132 134 136 144 148 153 159 176 183 187 192 198 201 204 212 222 244 256 264 268 272 288 296 306 318 333 352 366 374 384 396 402 407 408 424 444 477 488 512 528 536 544 549 561 576 583 592 603 612 629 636 666 671 704 732 737 748 768 792 804 814 816 848 888 901 954 976 1024 1037 1056 1072 1088 1098 1122 1139 1152 1166 1184 1206 1221 1224 1258 1272 1332 1342 1408 1464 1474 1496 1536 1584 1608 1628 1632 1683 1696 1749 1776 1802 1887 1908 1952 1961 2013 2074 2112 2144 2176 2196 2211 2244 2257 2278 2304 2332 2368 2412 2442 2448 2479 2516 2544 2664 2684 2703 2816 2928 2948 2992 3072 3111 3168 3216 3233 3256 3264 3366 3392 3417 3498 3551 3552 3604 3663 3774 3816 3904 3922 4026 4087 4148 4224 4288 4352 4392 4422 4488 4514 4556 4608 4664 4736 4824 4884 4896 4958 5032 5088 5247 5328 5368 5406 5632 5661 5856 5883 5896 5984 6039 6222 6336 6432 6466 6512 6528 6633 6732 6771 6784 6834 6919 6996 7102 7104 7208 7326 7437 7548 7632 7808 7844 8052 8109 8174 8296 8448 8576 8704 8784 8844 8976 9028 9112 9216 9328 9333 9472 9648 9699 9768 9792 9911 9916 10064 10176 10251 10494 10653 10656 10736 10812 11264 11322 11407 11712 11766 11792 11968 12078 12261 12444 12529 12672 12864 12932 13024 13056 13266 13464 13542 13568 13668 13838 13992 14204 14208 14416 14652 14874 15096 15264 15616 15688 16104 16218 16348 16592 16896 17152 17408 17568 17649 17688 17952 18056 18224 18656 18666 18944 19296 19398 19536 19584 19822 19832 20128 20313 20352 20502 20757 20988 21306 21312 21472 21571 21624 22311 22644 22814 23424 23532 23584 23936 24156 24522 24827 24888 25058 25344 25728 25864 26048 26112 26532 26928 27084 27136 27269 27336 27676 27984 28408 28416 28832 29097 29304 29733 29748 30192 30528 31232 31376 31959 32208 32436 32696 33184 33337 33792 34221 34304 35136 35298 35376 35563 35904 36112 36448 36783 37312 37332 37587 37888 38369 38592 38796 39061 39072 39168 39644 39664 40256 40626 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2302051597824 3453077396736 4604103195648 6906154793472 13812309586944
- Sum of all divisors σ(n): 49727073906432
- Sum of proper divisors (its aliquot sum) s(n): 35914764319488
- 13812309586944 is an abundant number, because the sum of its proper divisors (35914764319488) is greater than itself. Its abundance is 22102454732544
Bases of 13812309586944
- Binary: 110010001111111011011100111001110100000000002
- Hexadecimal: 0xC8FEDCE7400
- Base-36: 4W9ACI680
Squares and roots of 13812309586944
- 13812309586944 squared (138123095869442) is 190779896125585131895259136
- 13812309586944 cubed (138123095869443) is 2635110988251599999078514476636002320384
-
The
square root of 13812309586944 is 3716491.5696048605 -
The
cube root of 13812309586944 is 23993.2328067249
Scales and comparisons
How big is 13812309586944?- 13,812,309,586,944 seconds is equal to 439,188 years, 37 weeks, 3 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,812,309,586,944 would take you about one million, ninety-seven thousand, nine hundred seventy-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 13812309586944 cubic inches would be around 1999.4 feet tall.
Recreational maths with 13812309586944
- 13812309586944 backwards is 44968590321831
- The number of decimal digits it has is: 14
- The sum of 13812309586944's digits is 63
- More coming soon!
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MLA style:
"Number 13812309586944 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13812309586944 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13812309586944/
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The information we have on file for 13812309586944 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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