319104072
319,104,072 is an even composite number composed of five prime numbers multiplied together.
319104072 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 319104072:
23 × 32 × 72 × 151 × 599
(2 × 2 × 2 × 3 × 3 × 7 × 7 × 151 × 599)See below for interesting mathematical facts about the number 319104072 from the Numbermatics database.
Names of 319104072
- Cardinal: 319104072 can be written as Three hundred nineteen million, one hundred four thousand and seventy-two.
Scientific notation
- Scientific notation: 3.19104072 × 108
Factors of 319104072
Divisors of 319104072
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 151 168 196 252 294 302 392 441 453 504 588 599 604 882 906 1057 1176 1198 1208 1359 1764 1797 1812 2114 2396 2718 3171 3528 3594 3624 4193 4228 4792 5391 5436 6342 7188 7399 8386 8456 9513 10782 10872 12579 12684 14376 14798 16772 19026 21564 22197 25158 25368 29351 29596 33544 37737 38052 43128 44394 50316 58702 59192 66591 75474 76104 88053 88788 90449 100632 117404 133182 150948 176106 177576 180898 234808 264159 266364 271347 301896 352212 361796 528318 532728 542694 633143 704424 723592 814041 1056636 1085388 1266286 1628082 1899429 2113272 2170776 2532572 3256164 3798858 4432001 5065144 5698287 6512328 7597716 8864002 11396574 13296003 15195432 17728004 22793148 26592006 35456008 39888009 45586296 53184012 79776018 106368024 159552036 319104072
- Sum of all divisors σ(n): 1013688000
- Sum of proper divisors (its aliquot sum) s(n): 694583928
- 319104072 is an abundant number, because the sum of its proper divisors (694583928) is greater than itself. Its abundance is 375479856
Bases of 319104072
- Binary: 100110000010100100100010010002
- Hexadecimal: 0x13052448
- Base-36: 59ZIA0
Squares and roots of 319104072
- 319104072 squared (3191040722) is 101827408766981184
- 319104072 cubed (3191040723) is 32493540778752194961781248
-
The
square root of 319104072 is 17863.4843185757 -
The
cube root of 319104072 is 683.3514422857
Scales and comparisons
How big is 319104072?- 319,104,072 seconds is equal to 10 years, 7 weeks, 4 days, 8 hours, 1 minute, 12 seconds.
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To count from 1 to 319,104,072 would take you about fifteen 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 319104072 cubic inches would be around 56.9 feet tall.
Recreational maths with 319104072
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