13821538343019264
13,821,538,343,019,264 is an even composite number composed of six prime numbers multiplied together.
What does the number 13821538343019264 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
13821538343019264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13821538343019264:
28 × 36 × 11 × 13 × 37 × 2413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 37 × 241 × 241 × 241)See below for interesting mathematical facts about the number 13821538343019264 from the Numbermatics database.
Names of 13821538343019264
- Cardinal: 13821538343019264 can be written as Thirteen quadrillion, eight hundred twenty-one trillion, five hundred thirty-eight billion, three hundred forty-three million, nineteen thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.3821538343019264 × 1016
Factors of 13821538343019264
Divisors of 13821538343019264
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 37 39 44 48 52 54 64 66 72 74 78 81 88 96 99 104 108 111 117 128 132 143 144 148 156 162 176 192 198 208 216 222 234 241 243 256 264 286 288 296 297 312 324 333 351 352 384 396 407 416 429 432 444 468 481 482 486 528 572 576 592 594 624 648 666 702 704 723 729 768 792 814 832 858 864 888 891 936 962 964 972 999 1053 1056 1144 1152 1184 1188 1221 1248 1287 1296 1332 1404 1408 1443 1446 1458 1584 1628 1664 1716 1728 1776 1782 1872 1924 1928 1944 1998 2106 2112 2169 2288 2304 2368 2376 2442 2496 2574 2592 2651 2664 2673 2808 2816 2886 2892 2916 2997 3133 3159 3168 3256 3328 3432 3456 3552 3564 3663 3744 3848 3856 3861 3888 3996 4212 4224 4329 4338 4576 4736 4752 4884 4992 5148 5184 5291 5302 5328 5346 5616 5772 5784 5832 5994 6266 6318 6336 6507 6512 6864 6912 7104 7128 7326 7488 7696 7712 7722 7776 7953 7992 8019 8424 8448 8658 8676 8917 8991 9152 9399 9472 9477 9504 9768 9984 10296 10368 10582 10604 10656 10692 10989 11232 11544 11568 11583 11664 11988 12532 12636 12672 12987 13014 13024 13728 14208 14256 14652 14976 15392 15424 15444 15552 15873 15906 15984 16038 16848 17316 17352 17834 17982 18304 18798 18954 19008 19521 19536 20592 20736 21164 21208 21312 21384 21978 22464 23088 23136 23166 23328 23859 23976 25064 25272 25344 25974 26028 26048 26751 26973 27456 28197 28416 28512 29304 29952 30784 30848 30888 31104 31746 31812 31968 32076 32967 33696 34463 34632 34704 34749 35668 35964 36608 37596 37908 38016 38961 39042 39072 41184 42328 42416 42624 42768 43956 44928 46176 46272 46332 46656 47619 47718 47952 50128 50544 51948 52056 52096 53502 53946 54912 56394 57024 58081 58563 58608 61568 61696 61776 62208 63492 63624 63936 64152 65934 67392 68926 69264 69408 69498 71336 71577 71928 75192 75816 76032 77922 78084 78144 80253 82368 84591 84656 84832 85248 85536 87912 89856 92352 92544 92664 93312 95238 95436 95904 98087 98901 100256 101088 103389 103896 104112 104192 104247 107004 107892 109824 112788 114048 115921 116162 116883 117126 117216 123136 123552 126984 127248 127872 128304 131868 134784 137852 138528 138816 138996 142672 142857 143154 143856 150384 151632 155844 156168 156288 160506 164736 169182 169312 169664 171072 174243 175689 175824 184704 185088 185328 186624 190476 190872 191808 196174 197802 200512 202176 206778 207792 208224 208494 214008 214731 215784 225576 228096 231842 232324 233766 234252 234432 240759 247104 253773 253968 254496 255744 256608 263736 269568 275704 277056 277632 277992 285344 285714 286308 287712 294261 296703 300768 303264 310167 311688 312336 312576 321012 329472 338364 338624 339328 342144 347763 348486 350649 351378 351648 369408 370656 380952 381744 383616 392348 395604 401024 404352 413556 415584 416448 416988 428016 428571 429462 431568 451152 463684 464648 467532 468504 468864 481518 494208 507546 507936 508992 513216 522729 527472 551408 554112 555264 555984 570688 571428 572616 575424 588522 593406 601536 606528 620334 623376 624672 638891 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354398419051776 373555090351872 383931620639424 418834495243008 431923073219352 511908827519232 531597628577664 575897430959136 628251742864512 767863241278848 863846146438704 1063195257155328 1151794861918272 1256503485729024 1535726482557696 1727692292877408 2303589723836544 3455384585754816 4607179447673088 6910769171509632 13821538343019264
- Sum of all divisors σ(n): 50117669619302208
- Sum of proper divisors (its aliquot sum) s(n): 36296131276282944
- 13821538343019264 is an abundant number, because the sum of its proper divisors (36296131276282944) is greater than itself. Its abundance is 22474592933263680
Bases of 13821538343019264
- Binary: 1100010001101010011101101010110010111101100011000000002
- Hexadecimal: 0x311A9DAB2F6300
- Base-36: 3S3BR23W000
Squares and roots of 13821538343019264
- 13821538343019264 squared (138215383430192642) is 191034922167551701878279475101696
- 13821538343019264 cubed (138215383430192643) is 2640396501594516614686180599972988264138087071744
-
The
square root of 13821538343019264 is 117565038.7786235709 -
The
cube root of 13821538343019264 is 239985.7534542131
Scales and comparisons
How big is 13821538343019264?- 13,821,538,343,019,264 seconds is equal to 439,482,166 years, 25 weeks, 18 hours, 14 minutes, 24 seconds.
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To count from 1 to 13,821,538,343,019,264 would take you about one billion, three hundred eighteen million, four hundred forty-six thousand, four hundred ninety-nine 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 13821538343019264 cubic inches would be around 19998.8 feet tall.
Recreational maths with 13821538343019264
- 13821538343019264 backwards is 46291034383512831
- The number of decimal digits it has is: 17
- The sum of 13821538343019264's digits is 63
- More coming soon!
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The information we have on file for 13821538343019264 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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