13824893481984
13,824,893,481,984 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13824893481984 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
13824893481984 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 13824893481984:
210 × 32 × 13 × 17 × 19 × 29 × 97 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 19 × 29 × 97 × 127)See below for interesting mathematical facts about the number 13824893481984 from the Numbermatics database.
Names of 13824893481984
- Cardinal: 13824893481984 can be written as Thirteen trillion, eight hundred twenty-four billion, eight hundred ninety-three million, four hundred eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.3824893481984 × 1013
Factors of 13824893481984
Divisors of 13824893481984
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 19 24 26 29 32 34 36 38 39 48 51 52 57 58 64 68 72 76 78 87 96 97 102 104 114 116 117 127 128 136 144 152 153 156 171 174 192 194 204 208 221 228 232 234 247 254 256 261 272 288 291 304 306 312 323 342 348 377 381 384 388 408 416 442 456 464 468 493 494 508 512 522 544 551 576 582 608 612 624 646 663 684 696 741 754 762 768 776 816 832 873 884 912 928 936 969 986 988 1016 1024 1044 1088 1102 1131 1143 1152 1164 1216 1224 1248 1261 1292 1326 1368 1392 1479 1482 1508 1524 1536 1552 1632 1649 1651 1653 1664 1746 1768 1824 1843 1856 1872 1938 1972 1976 1989 2032 2088 2159 2176 2204 2223 2262 2286 2304 2328 2413 2432 2448 2496 2522 2584 2652 2736 2784 2813 2907 2958 2964 3016 3048 3072 3104 3264 3298 3302 3306 3328 3393 3492 3536 3648 3683 3686 3712 3744 3783 3876 3944 3952 3978 4064 4176 4199 4318 4352 4408 4437 4446 4524 4572 4608 4656 4826 4864 4896 4947 4953 4959 4992 5044 5168 5304 5472 5529 5568 5626 5814 5916 5928 6032 6096 6208 6409 6477 6528 6596 6604 6612 6656 6786 6984 7072 7163 7239 7296 7366 7372 7424 7488 7566 7752 7888 7904 7956 8128 8352 8398 8439 8636 8704 8816 8874 8892 9048 9144 9216 9312 9367 9652 9728 9792 9894 9906 9918 9984 10088 10336 10608 10944 11049 11058 11136 11252 11349 11628 11832 11856 12064 12192 12319 12416 12597 12818 12954 13056 13192 13208 13224 13312 13572 13968 14144 14326 14478 14592 14732 14744 14841 14848 14859 14976 15132 15504 15776 15808 15912 16256 16587 16704 16796 16878 17272 17408 17632 17748 17784 18096 18288 18624 18734 19227 19304 19431 19456 19584 19788 19812 19836 19968 20176 20672 21216 21437 21489 21717 21888 22098 22116 22272 22504 22698 23256 23664 23712 23959 24128 24384 24638 24832 25194 25317 25636 25908 26112 26384 26416 26448 27144 27936 28067 28101 28288 28652 28956 29184 29464 29488 29682 29696 29718 29952 30264 31008 31331 31369 31552 31616 31824 32512 33147 33174 33408 33592 33756 34544 35264 35496 35568 36192 36569 36576 36957 37248 37468 37791 38454 38608 38862 39168 39576 39624 39672 39936 40352 41021 41344 42432 42874 42978 43434 43776 44196 44232 44544 45008 45396 46512 47328 47424 47821 47879 47918 48256 48768 49276 49664 50388 50634 51272 51816 52224 52768 52832 52896 53447 54288 55872 56134 56202 56576 57304 57681 57912 58368 58928 58976 59364 59436 59904 60528 62016 62611 62662 62738 63104 63232 63648 64311 64467 65024 66294 66348 66816 67184 67512 69088 69977 70528 70992 71136 71877 72384 73138 73152 73914 74496 74936 75582 76908 77216 77724 78336 79152 79248 79344 80704 82042 82688 84201 84303 84864 85748 85956 86868 87552 88392 88464 89088 90016 90792 93024 93993 94107 94656 94848 95642 95758 95836 96512 97536 98552 99328 100776 101268 102544 103632 105536 105664 105792 106894 108576 109707 110871 111744 112268 112404 113152 114608 115362 115824 117856 117952 118728 118872 119808 121056 121771 123063 124032 125222 125324 125476 126208 126464 127296 128622 128934 130048 132588 132696 133632 134368 135024 138176 139954 141056 141984 142272 143463 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2304148913664 3456223370496 4608297827328 6912446740992 13824893481984
- Sum of all divisors σ(n): 50471827660800
- Sum of proper divisors (its aliquot sum) s(n): 36646934178816
- 13824893481984 is an abundant number, because the sum of its proper divisors (36646934178816) is greater than itself. Its abundance is 22822040696832
Bases of 13824893481984
- Binary: 110010010010110110111101110101110100000000002
- Hexadecimal: 0xC92DBDD7400
- Base-36: 4WF2GMPS0
Squares and roots of 13824893481984
- 13824893481984 squared (138248934819842) is 191127679788203687732576256
- 13824893481984 cubed (138248934819843) is 2642319814530662260145845581638642171904
-
The
square root of 13824893481984 is 3718184.1646136895 -
The
cube root of 13824893481984 is 24000.5170501941
Scales and comparisons
How big is 13824893481984?- 13,824,893,481,984 seconds is equal to 439,588 years, 44 weeks, 1 day, 5 hours, 26 minutes, 24 seconds.
-
To count from 1 to 13,824,893,481,984 would take you about one million, ninety-eight thousand, nine hundred seventy-two 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 13824893481984 cubic inches would be around 2000 feet tall.
Recreational maths with 13824893481984
- 13824893481984 backwards is 48918439842831
- 13824893481984 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13824893481984's digits is 72
- More coming soon!
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Cite this page
MLA style:
"Number 13824893481984 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 13824893481984 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13824893481984/
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Numbermatics. 2024. "Number 13824893481984 - Facts about the integer". https://numbermatics.com/n/13824893481984/
The information we have on file for 13824893481984 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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