131006148
131,006,148 is an even composite number composed of six prime numbers multiplied together.
131006148 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 131006148:
22 × 3 × 7 × 13 × 17 × 7057
(2 × 2 × 3 × 7 × 13 × 17 × 7057)See below for interesting mathematical facts about the number 131006148 from the Numbermatics database.
Names of 131006148
- Cardinal: 131006148 can be written as One hundred thirty-one million, six thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 1.31006148 × 108
Factors of 131006148
Divisors of 131006148
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 6188 7057 9282 14114 18564 21171 28228 42342 49399 84684 91741 98798 119969 148197 183482 197596 239938 275223 296394 359907 366964 479876 550446 592788 642187 719814 839783 1100892 1284374 1439628 1559597 1679566 1926561 2519349 2568748 3119194 3359132 3853122 4678791 5038698 6238388 7706244 9357582 10077396 10917179 18715164 21834358 32751537 43668716 65503074 131006148
- Sum of all divisors σ(n): 398409984
- Sum of proper divisors (its aliquot sum) s(n): 267403836
- 131006148 is an abundant number, because the sum of its proper divisors (267403836) is greater than itself. Its abundance is 136397688
Bases of 131006148
- Binary: 1111100111011111110110001002
- Hexadecimal: 0x7CEFEC4
- Base-36: 25ZWZO
Squares and roots of 131006148
- 131006148 squared (1310061482) is 17162610813797904
- 131006148 cubed (1310061483) is 2248407532338808653513792
-
The
square root of 131006148 is 11445.7917157355 -
The
cube root of 131006148 is 507.8832527715
Scales and comparisons
How big is 131006148?- 131,006,148 seconds is equal to 4 years, 8 weeks, 4 days, 6 hours, 35 minutes, 48 seconds.
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To count from 1 to 131,006,148 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 131006148 cubic inches would be around 42.3 feet tall.
Recreational maths with 131006148
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