13017914637937664
13,017,914,637,937,664 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13017914637937664 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2112 divisors.
13017914637937664 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 13017914637937664:
210 × 7 × 132 × 37 × 73 × 113 × 137 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 37 × 73 × 113 × 137 × 257)See below for interesting mathematical facts about the number 13017914637937664 from the Numbermatics database.
Names of 13017914637937664
- Cardinal: 13017914637937664 can be written as Thirteen quadrillion, seventeen trillion, nine hundred fourteen billion, six hundred thirty-seven million, nine hundred thirty-seven thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3017914637937664 × 1016
Factors of 13017914637937664
Divisors of 13017914637937664
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 37 52 56 64 73 74 91 104 112 113 128 137 146 148 169 182 208 224 226 256 257 259 274 292 296 338 364 416 448 452 481 511 512 514 518 548 584 592 676 728 791 832 896 904 949 959 962 1022 1024 1028 1036 1096 1168 1183 1184 1352 1456 1469 1582 1664 1781 1792 1799 1808 1898 1918 1924 2044 2056 2072 2192 2336 2366 2368 2701 2704 2912 2938 3164 3328 3341 3367 3562 3584 3598 3616 3796 3836 3848 4088 4112 4144 4181 4384 4672 4732 4736 5069 5402 5408 5824 5876 6253 6328 6643 6656 6682 6734 7124 7168 7196 7232 7592 7672 7696 8176 8224 8249 8288 8362 8768 9344 9464 9472 9509 10001 10138 10283 10804 10816 11648 11752 12337 12467 12506 12656 13286 13312 13364 13468 14248 14392 14464 15184 15344 15392 15481 16352 16448 16498 16576 16724 17536 18688 18761 18907 18928 18944 19018 19097 20002 20276 20566 21608 21632 23153 23296 23387 23504 24674 24934 25012 25312 26572 26728 26936 28496 28784 28928 29041 29267 30368 30688 30784 30962 32704 32896 32996 33152 33448 35072 35113 35209 35483 37376 37522 37814 37856 37888 38036 38194 40004 40552 41132 43216 43264 43433 43771 46306 46592 46774 47008 49348 49868 50024 50624 53144 53456 53872 54353 56992 57568 57743 57856 58082 58534 60736 61376 61568 61924 65408 65792 65897 65992 66304 66563 66896 70007 70144 70226 70418 70966 74752 75044 75628 75712 76072 76388 80008 81104 82264 86359 86432 86528 86866 87542 92612 93184 93548 94016 98696 99736 100048 101248 106288 106912 107237 107744 108367 108706 113984 115136 115486 115712 116164 117068 121472 122752 123136 123617 123848 130013 130816 131327 131584 131794 131984 132608 133126 133679 133792 140014 140288 140452 140836 141932 150088 151256 151424 152144 152776 160016 162071 162208 164528 172718 172864 173056 173732 175084 185224 187096 188032 197392 199472 200096 201253 202496 203287 212576 213824 214474 215488 216734 217412 227968 230272 230972 232328 234136 242944 243893 245504 245791 246272 246463 247234 247696 260026 261632 262654 263168 263588 263968 265216 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6331670543744 6368842777856 6766067899136 6787233909248 6858753760768 7200174025408 7236194907136 7264461293492 7309328825344 7823266008376 8228770314752 8861752646656 8940875438144 9628635087232 10994860336096 11004154385408 11145474861248 11877659341184 12565554669824 12663341087488 12712807263611 12737685555712 13532135798272 13574467818496 13717507521536 14400348050816 14528922586984 15646532016752 16457540629504 17881750876288 19257270174464 21989720672192 22290949722496 23755318682368 25131109339648 25326682174976 25425614527222 25475371111424 27064271596544 28800696101632 29057845173968 31293064033504 35763501752576 38514540348928 43979441344384 44581899444992 47510637364736 50262218679296 50653364349952 50851229054444 57601392203264 58115690347936 62586128067008 71527003505152 77029080697856 87958882688768 89163798889984 95021274729472 101702458108888 115202784406528 116231380695872 125172256134016 143054007010304 175917765377536 178327597779968 203404916217776 232462761391744 250344512268032 351835530755072 406809832435552 464925522783488 500689024536064 813619664871104 929851045566976 1001378049072128 1627239329742208 1859702091133952 3254478659484416 6508957318968832 13017914637937664
- Sum of all divisors σ(n): 34204077314194176
- Sum of proper divisors (its aliquot sum) s(n): 21186162676256512
- 13017914637937664 is an abundant number, because the sum of its proper divisors (21186162676256512) is greater than itself. Its abundance is 8168248038318848
Bases of 13017914637937664
- Binary: 1011100011111110111001011100011011010111101100000000002
- Hexadecimal: 0x2E3FB971B5EC00
- Base-36: 3K6GRFATYWW
Squares and roots of 13017914637937664
- 13017914637937664 squared (130179146379376642) is 169466101520631701590255149776896
- 13017914637937664 cubed (130179146379376643) is 2206095243619661648234240294685206727587155410944
-
The
square root of 13017914637937664 is 114096076.3476889419 -
The
cube root of 13017914637937664 is 235241.4276825155
Scales and comparisons
How big is 13017914637937664?- 13,017,914,637,937,664 seconds is equal to 413,929,418 years, 22 weeks, 3 days, 11 hours, 7 minutes, 44 seconds.
-
To count from 1 to 13,017,914,637,937,664 would take you about one billion, two hundred forty-one million, seven hundred eighty-eight thousand, two hundred fifty-five 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 13017914637937664 cubic inches would be around 19603.5 feet tall.
Recreational maths with 13017914637937664
- 13017914637937664 backwards is 46673973641971031
- The number of decimal digits it has is: 17
- The sum of 13017914637937664's digits is 77
- More coming soon!
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The information we have on file for 13017914637937664 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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