13385345889097728
13,385,345,889,097,728 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13385345889097728 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
13385345889097728 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13385345889097728:
211 × 33 × 7 × 13 × 17 × 139 × 10612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 17 × 139 × 1061 × 1061)See below for interesting mathematical facts about the number 13385345889097728 from the Numbermatics database.
Names of 13385345889097728
- Cardinal: 13385345889097728 can be written as Thirteen quadrillion, three hundred eighty-five trillion, three hundred forty-five billion, eight hundred eighty-nine million, ninety-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.3385345889097728 × 1016
Factors of 13385345889097728
Divisors of 13385345889097728
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 32 34 36 39 42 48 51 52 54 56 63 64 68 72 78 84 91 96 102 104 108 112 117 119 126 128 136 139 144 153 156 168 182 189 192 204 208 216 221 224 234 238 252 256 272 273 278 288 306 312 336 351 357 364 378 384 408 416 417 432 442 448 459 468 476 504 512 544 546 556 576 612 624 663 672 702 714 728 756 768 816 819 832 834 864 884 896 918 936 952 973 1008 1024 1061 1071 1088 1092 1112 1152 1224 1248 1251 1326 1344 1404 1428 1456 1512 1536 1547 1632 1638 1664 1668 1728 1768 1792 1807 1836 1872 1904 1946 1989 2016 2048 2122 2142 2176 2184 2224 2304 2363 2448 2457 2496 2502 2652 2688 2808 2856 2912 2919 3024 3072 3094 3183 3213 3264 3276 3328 3336 3456 3536 3584 3614 3672 3744 3753 3808 3892 3978 4032 4244 4284 4352 4368 4448 4608 4641 4726 4896 4914 4992 5004 5304 5376 5421 5616 5712 5824 5838 5967 6048 6144 6188 6366 6426 6528 6552 6656 6672 6912 7072 7089 7168 7228 7344 7427 7488 7506 7616 7784 7956 8064 8488 8568 8704 8736 8757 8896 9216 9282 9452 9549 9792 9828 9984 10008 10608 10752 10842 11232 11424 11648 11676 11934 12096 12376 12649 12732 12852 13056 13104 13312 13344 13793 13824 13923 14144 14178 14336 14456 14688 14854 14976 15012 15232 15568 15912 16128 16263 16541 16976 17136 17408 17472 17514 17792 18037 18432 18564 18904 19098 19584 19656 19968 20016 21216 21267 21504 21684 22281 22464 22848 23296 23352 23868 24192 24752 25298 25464 25704 26112 26208 26271 26624 26688 27586 27648 27846 28288 28356 28647 28912 29376 29708 29952 30024 30464 30719 31136 31824 32256 32526 33082 33952 34272 34816 34944 35028 35584 36074 37128 37808 37947 38196 39168 39312 39936 40032 41379 41769 42432 42534 43008 43368 44562 44928 45696 46592 46704 47736 48384 48789 49504 49623 50596 50928 51408 52224 52416 52542 53376 54111 55172 55296 55692 56576 56712 57294 57824 58752 59416 59904 60048 60928 61438 62272 63648 63801 64512 65052 66164 66843 67904 68544 69888 70056 71168 72148 74256 75616 75894 76392 78336 78624 79872 80064 82758 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7570896996096 7746149241376 8024787703296 8044078058352 8171761837056 8201805079104 8652453709824 8714417896548 8852741990144 9193232066688 9373491518976 9533722143232 9959334738912 10094529328128 10699716937728 10725437411136 10935740105472 11619223862064 12037181554944 12257642755584 12302707618656 12497988691968 12615783118848 13071626844822 13279112985216 13756778919936 14060237278464 14300583214848 14580986807296 14939002108368 15141793992192 15492298482752 16049575406592 16088156116704 16343523674112 16403610158208 17428835793096 17705483980288 18386464133376 18746983037952 19067444286464 19918669477824 20189058656256 21450874822272 21871480210944 23238447724128 24074363109888 24515285511168 24605415237312 26143253689644 26558225970432 28120474556928 28601166429696 29161973614592 29878004216736 30283587984384 30984596965504 32099150813184 32176312233408 32807220316416 34857671586192 35410967960576 36772928266752 37493966075904 38134888572928 39837338955648 42901749644544 43742960421888 46476895448256 48148726219776 49030571022336 49210830474624 52286507379288 53116451940864 56240949113856 57202332859392 59756008433472 60567175968768 61969193931008 64352624466816 65614440632832 69715343172384 70821935921152 73545856533504 79674677911296 85803499289088 87485920843776 92953790896512 96297452439552 98421660949248 104573014758576 106232903881728 112481898227712 114404665718784 119512016866944 123938387862016 128705248933632 131228881265664 139430686344768 147091713067008 159349355822592 171606998578176 185907581793024 196843321898496 209146029517152 212465807763456 239024033733888 247876775724032 257410497867264 262457762531328 278861372689536 318698711645184 343213997156352 371815163586048 393686643796992 418292059034304 478048067467776 495753551448064 514820995734528 557722745379072 637397423290368 743630327172096 787373287593984 836584118068608 956096134935552 1029641991469056 1115445490758144 1487260654344192 1673168236137216 1912192269871104 2230890981516288 3346336472274432 4461781963032576 6692672944548864 13385345889097728
- Sum of all divisors σ(n): 52092205716096000
- Sum of proper divisors (its aliquot sum) s(n): 38706859826998272
- 13385345889097728 is an abundant number, because the sum of its proper divisors (38706859826998272) is greater than itself. Its abundance is 25321513937900544
Bases of 13385345889097728
- Binary: 1011111000110111100110101100101110101001011000000000002
- Hexadecimal: 0x2F8DE6B2EA5800
- Base-36: 3NSPJ0EZ9C0
Squares and roots of 13385345889097728
- 13385345889097728 squared (133853458890977282) is 179167484570785446487089934761984
- 13385345889097728 cubed (133853458890977283) is 2398218753059543585569132469953891053028195172352
-
The
square root of 13385345889097728 is 115695055.5948599213 -
The
cube root of 13385345889097728 is 237434.1587480433
Scales and comparisons
How big is 13385345889097728?- 13,385,345,889,097,728 seconds is equal to 425,612,595 years, 35 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 13,385,345,889,097,728 would take you about one billion, two hundred seventy-six million, eight hundred thirty-seven thousand, seven hundred eighty-seven 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 13385345889097728 cubic inches would be around 19786.2 feet tall.
Recreational maths with 13385345889097728
- 13385345889097728 backwards is 82779098854358331
- The number of decimal digits it has is: 17
- The sum of 13385345889097728's digits is 90
- More coming soon!
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Numbermatics. (2024). Number 13385345889097728 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13385345889097728/
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The information we have on file for 13385345889097728 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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