131629608
131,629,608 is an even composite number composed of five prime numbers multiplied together.
131629608 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131629608:
23 × 32 × 112 × 29 × 521
(2 × 2 × 2 × 3 × 3 × 11 × 11 × 29 × 521)See below for interesting mathematical facts about the number 131629608 from the Numbermatics database.
Names of 131629608
- Cardinal: 131629608 can be written as One hundred thirty-one million, six hundred twenty-nine thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.31629608 × 108
Factors of 131629608
Divisors of 131629608
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 18 22 24 29 33 36 44 58 66 72 87 88 99 116 121 132 174 198 232 242 261 264 319 348 363 396 484 521 522 638 696 726 792 957 968 1042 1044 1089 1276 1452 1563 1914 2084 2088 2178 2552 2871 2904 3126 3509 3828 4168 4356 4689 5731 5742 6252 7018 7656 8712 9378 10527 11462 11484 12504 14036 15109 17193 18756 21054 22924 22968 28072 30218 31581 34386 37512 42108 45327 45848 51579 60436 63041 63162 68772 84216 90654 103158 120872 126082 126324 135981 137544 166199 181308 189123 206316 252164 252648 271962 332398 362616 378246 412632 498597 504328 543924 567369 664796 756492 997194 1087848 1134738 1329592 1495791 1512984 1828189 1994388 2269476 2991582 3656378 3988776 4538952 5484567 5983164 7312756 10969134 11966328 14625512 16453701 21938268 32907402 43876536 65814804 131629608
- Sum of all divisors σ(n): 406142100
- Sum of proper divisors (its aliquot sum) s(n): 274512492
- 131629608 is an abundant number, because the sum of its proper divisors (274512492) is greater than itself. Its abundance is 142882884
Bases of 131629608
- Binary: 1111101100010000010001010002
- Hexadecimal: 0x7D88228
- Base-36: 26DA20
Squares and roots of 131629608
- 131629608 squared (1316296082) is 17326353702233664
- 131629608 cubed (1316296083) is 2280661145894365916723712
-
The
square root of 131629608 is 11472.9947267485 -
The
cube root of 131629608 is 508.6876524521
Scales and comparisons
How big is 131629608?- 131,629,608 seconds is equal to 4 years, 9 weeks, 4 days, 11 hours, 46 minutes, 48 seconds.
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To count from 1 to 131,629,608 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 131629608 cubic inches would be around 42.4 feet tall.
Recreational maths with 131629608
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