13003684935959952
13,003,684,935,959,952 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13003684935959952 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2160 divisors.
13003684935959952 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13003684935959952:
24 × 32 × 13 × 432 × 472 × 89 × 97 × 197
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 43 × 43 × 47 × 47 × 89 × 97 × 197)See below for interesting mathematical facts about the number 13003684935959952 from the Numbermatics database.
Names of 13003684935959952
- Cardinal: 13003684935959952 can be written as Thirteen quadrillion, three trillion, six hundred eighty-four billion, nine hundred thirty-five million, nine hundred fifty-nine thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.3003684935959952 × 1016
Factors of 13003684935959952
Divisors of 13003684935959952
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 47 48 52 72 78 86 89 94 97 104 117 129 141 144 156 172 178 188 194 197 208 234 258 267 282 291 312 344 356 376 387 388 394 423 468 516 534 559 564 582 591 611 624 688 712 752 774 776 788 801 846 873 936 1032 1068 1118 1128 1157 1164 1182 1222 1261 1424 1548 1552 1576 1602 1677 1692 1746 1773 1833 1849 1872 2021 2064 2136 2209 2236 2256 2314 2328 2364 2444 2522 2561 3096 3152 3204 3354 3384 3471 3492 3546 3666 3698 3783 3827 4042 4171 4183 4272 4418 4472 4559 4628 4656 4728 4888 5031 5044 5122 5499 5547 6063 6192 6408 6627 6708 6768 6942 6984 7092 7332 7396 7566 7654 7683 8084 8342 8366 8471 8633 8836 8944 9118 9256 9259 9456 9776 10062 10088 10244 10413 10998 11094 11349 11481 12126 12513 12549 12816 13254 13416 13677 13884 13968 14184 14664 14792 15132 15308 15366 16168 16641 16684 16732 16942 17266 17533 17672 18189 18236 18512 18518 19109 19881 20124 20176 20488 20826 21996 22188 22698 22962 23049 24037 24252 25026 25098 25413 25899 26273 26508 26832 27354 27768 27777 28368 28717 29328 29584 30264 30616 30732 32336 33282 33368 33464 33884 34443 34532 35066 35344 36378 36472 37036 37539 37647 38218 39762 40248 40976 41031 41652 43992 44376 45396 45924 46098 48074 48504 49751 50052 50196 50826 51798 52546 52599 53016 54223 54379 54708 55536 55554 57327 57434 59267 60528 61232 61464 66564 66736 66928 67768 68886 69064 70132 72111 72756 72944 74072 75078 75294 76239 76436 77697 78819 79524 80496 82062 83304 83331 86151 86903 87984 88752 90792 91848 92196 94987 96148 97008 99502 100104 100392 101652 103596 105092 105198 106032 108446 108758 109416 110123 111108 112229 114654 114868 118534 120367 122928 133128 135536 137772 138128 140264 144222 145512 148144 149253 150156 150588 152478 152872 155394 157638 157797 159048 162669 163137 164124 164561 166608 166662 171981 172302 173806 177801 179353 179869 181584 183696 184392 189974 192296 196037 196601 199004 200208 200784 203304 207192 210184 210396 214273 216333 216892 217516 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41678477358846 44686202529072 46112357928936 48702939835056 50401879596744 55571303145128 62517716038269 66008552974416 67029303793608 69168536893404 73054409752584 75602819395116 83356954717692 90303367610833 92224715857872 100803759193488 111142606290256 125035432076538 134058607587216 138337073786808 146108819505168 151205638790232 166713909435384 180606735221666 250070864153076 270910102832499 276674147573616 302411277580464 333427818870768 361213470443332 500141728306152 541820205664998 722426940886664 812730308497497 1000283456612304 1083640411329996 1444853881773328 1625460616994994 2167280822659992 3250921233989988 4334561645319984 6501842467979976 13003684935959952
- Sum of all divisors σ(n): 42096794783163120
- Sum of proper divisors (its aliquot sum) s(n): 29093109847203168
- 13003684935959952 is an abundant number, because the sum of its proper divisors (29093109847203168) is greater than itself. Its abundance is 16089424911243216
Bases of 13003684935959952
- Binary: 1011100011001011001000010101010110000100000101100100002
- Hexadecimal: 0x2E32C855610590
- Base-36: 3K1F6E1OAS0
Squares and roots of 13003684935959952
- 13003684935959952 squared (130036849359599522) is 169095821913711780947367747842304
- 13003684935959952 cubed (130036849359599523) is 2198868792153100628275017462065834844766955409408
-
The
square root of 13003684935959952 is 114033700.8781173953 -
The
cube root of 13003684935959952 is 235155.6833854141
Scales and comparisons
How big is 13003684935959952?- 13,003,684,935,959,952 seconds is equal to 413,476,957 years, 48 weeks, 17 hours, 19 minutes, 12 seconds.
-
To count from 1 to 13,003,684,935,959,952 would take you about one billion, two hundred forty million, four hundred thirty thousand, eight hundred seventy-three 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 13003684935959952 cubic inches would be around 19596.3 feet tall.
Recreational maths with 13003684935959952
- 13003684935959952 backwards is 25995953948630031
- The number of decimal digits it has is: 17
- The sum of 13003684935959952's digits is 81
- More coming soon!
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The information we have on file for 13003684935959952 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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