13105137408
13,105,137,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 13105137408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13105137408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13105137408:
28 × 3 × 11 × 31 × 163 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 31 × 163 × 307)See below for interesting mathematical facts about the number 13105137408 from the Numbermatics database.
Names of 13105137408
- Cardinal: 13105137408 can be written as Thirteen billion, one hundred five million, one hundred thirty-seven thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.3105137408 × 1010
Factors of 13105137408
Divisors of 13105137408
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 163 176 186 192 248 256 264 307 326 341 352 372 384 489 496 528 614 652 682 704 744 768 921 978 992 1023 1056 1228 1304 1364 1408 1488 1793 1842 1956 1984 2046 2112 2456 2608 2728 2816 2976 3377 3586 3684 3912 3968 4092 4224 4912 5053 5216 5379 5456 5952 6754 7172 7368 7824 7936 8184 8448 9517 9824 10106 10131 10432 10758 10912 11904 13508 14344 14736 15159 15648 16368 19034 19648 20212 20262 20864 21516 21824 23808 27016 28551 28688 29472 30318 31296 32736 38068 39296 40424 40524 41728 43032 43648 50041 54032 55583 57102 57376 58944 60636 62592 65472 76136 78592 80848 81048 86064 87296 100082 104687 108064 111166 114204 114752 117888 121272 125184 130944 150123 152272 161696 162096 166749 172128 200164 209374 216128 222332 228408 229504 235776 242544 261888 300246 304544 314061 323392 324192 333498 344256 400328 418748 432256 444664 456816 459008 485088 550451 600492 609088 628122 646784 648384 666996 688512 800656 837496 864512 889328 913632 970176 1100902 1200984 1218176 1256244 1293568 1296768 1333992 1377024 1551271 1601312 1651353 1674992 1778656 1827264 1940352 2201804 2401968 2436352 2512488 2593536 2667984 3102542 3202624 3302706 3349984 3557312 3654528 3880704 4403608 4653813 4803936 5024976 5335968 6205084 6405248 6605412 6699968 7114624 7309056 8807216 9307626 9607872 10049952 10671936 12410168 12810496 13210824 13399936 14229248 17063981 17614432 18615252 19215744 20099904 21343872 24820336 26421648 26799872 34127962 35228864 37230504 38431488 40199808 42687744 49640672 51191943 52843296 68255924 70457728 74461008 80399616 99281344 102383886 105686592 136511848 140915456 148922016 198562688 204767772 211373184 273023696 297844032 397125376 409535544 422746368 546047392 595688064 819071088 1092094784 1191376128 1638142176 2184189568 3276284352 4368379136 6552568704 13105137408
- Sum of all divisors σ(n): 39646666752
- Sum of proper divisors (its aliquot sum) s(n): 26541529344
- 13105137408 is an abundant number, because the sum of its proper divisors (26541529344) is greater than itself. Its abundance is 13436391936
Bases of 13105137408
- Binary: 11000011010010000010000111000000002
- Hexadecimal: 0x30D208700
- Base-36: 60QGKQO
Squares and roots of 13105137408
- 13105137408 squared (131051374082) is 171744626482560958464
- 13105137408 cubed (131051374083) is 2250736929139597076406900621312
-
The
square root of 13105137408 is 114477.6720937319 -
The
cube root of 13105137408 is 2357.6564766345
Scales and comparisons
How big is 13105137408?- 13,105,137,408 seconds is equal to 416 years, 36 weeks, 3 days, 19 hours, 56 minutes, 48 seconds.
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To count from 1 to 13,105,137,408 would take you about eight hundred thirty-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 13105137408 cubic inches would be around 196.5 feet tall.
Recreational maths with 13105137408
- 13105137408 backwards is 80473150131
- 13105137408 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13105137408's digits is 33
- More coming soon!
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