130601268
130,601,268 is an even composite number composed of six prime numbers multiplied together.
130601268 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 130601268:
22 × 33 × 72 × 23 × 29 × 37
(2 × 2 × 3 × 3 × 3 × 7 × 7 × 23 × 29 × 37)See below for interesting mathematical facts about the number 130601268 from the Numbermatics database.
Names of 130601268
- Cardinal: 130601268 can be written as One hundred thirty million, six hundred one thousand, two hundred sixty-eight.
Scientific notation
- Scientific notation: 1.30601268 × 108
Factors of 130601268
Divisors of 130601268
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 21 23 27 28 29 36 37 42 46 49 54 58 63 69 74 84 87 92 98 108 111 116 126 138 147 148 161 174 189 196 203 207 222 252 259 261 276 294 322 333 348 378 406 414 441 444 483 518 522 588 609 621 644 666 667 756 777 783 812 828 851 882 966 999 1036 1044 1073 1127 1218 1242 1323 1332 1334 1421 1449 1554 1566 1702 1764 1813 1827 1932 1998 2001 2146 2254 2331 2436 2484 2553 2646 2668 2842 2898 3108 3132 3219 3381 3404 3626 3654 3996 4002 4263 4292 4347 4508 4662 4669 5106 5292 5439 5481 5684 5796 5957 6003 6438 6762 6993 7252 7308 7511 7659 8004 8526 8694 9324 9338 9657 10143 10212 10878 10962 11914 12006 12789 12876 13524 13986 14007 15022 15318 16317 17052 17388 17871 18009 18676 19314 20286 21756 21924 22533 22977 23828 24012 24679 25578 27972 28014 28971 30044 30429 30636 32634 32683 35742 36018 38367 38628 40572 41699 42021 45066 45954 48951 49358 51156 52577 53613 56028 57942 60858 65268 65366 67599 71484 72036 74037 76734 83398 84042 90132 91908 97902 98049 98716 105154 107226 115884 121716 125097 126063 130732 135198 148074 153468 157731 160839 166796 168084 172753 195804 196098 202797 210308 214452 222111 250194 252126 270396 294147 296148 315462 321678 345506 375291 392196 405594 444222 473193 500388 504252 518259 588294 630924 643356 666333 691012 750582 811188 882441 888444 946386 1036518 1125873 1176588 1209271 1332666 1419579 1501164 1554777 1764882 1892772 2073036 2251746 2418542 2665332 2839158 3109554 3529764 3627813 4503492 4664331 4837084 5678316 6219108 7255626 9328662 10883439 14511252 18657324 21766878 32650317 43533756 65300634 130601268
- Sum of all divisors σ(n): 436665600
- Sum of proper divisors (its aliquot sum) s(n): 306064332
- 130601268 is an abundant number, because the sum of its proper divisors (306064332) is greater than itself. Its abundance is 175463064
Bases of 130601268
- Binary: 1111100100011010001001101002
- Hexadecimal: 0x7C8D134
- Base-36: 25R8L0
Squares and roots of 130601268
- 130601268 squared (1306012682) is 17056691203207824
- 130601268 cubed (1306012683) is 2227625499023387481920832
-
The
square root of 130601268 is 11428.0911791953 -
The
cube root of 130601268 is 507.3595013371
Scales and comparisons
How big is 130601268?- 130,601,268 seconds is equal to 4 years, 7 weeks, 6 days, 14 hours, 7 minutes, 48 seconds.
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To count from 1 to 130,601,268 would take you about six 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 130601268 cubic inches would be around 42.3 feet tall.
Recreational maths with 130601268
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