314350080
314,350,080 is an even composite number composed of five prime numbers multiplied together.
314350080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 314350080:
29 × 3 × 5 × 11 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 61 × 61)See below for interesting mathematical facts about the number 314350080 from the Numbermatics database.
Names of 314350080
- Cardinal: 314350080 can be written as Three hundred fourteen million, three hundred fifty thousand and eighty.
Scientific notation
- Scientific notation: 3.1435008 × 108
Factors of 314350080
Divisors of 314350080
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 61 64 66 80 88 96 110 120 122 128 132 160 165 176 183 192 220 240 244 256 264 305 320 330 352 366 384 440 480 488 512 528 610 640 660 671 704 732 768 880 915 960 976 1056 1220 1280 1320 1342 1408 1464 1536 1760 1830 1920 1952 2013 2112 2440 2560 2640 2684 2816 2928 3355 3520 3660 3721 3840 3904 4026 4224 4880 5280 5368 5632 5856 6710 7040 7320 7442 7680 7808 8052 8448 9760 10065 10560 10736 11163 11712 13420 14080 14640 14884 15616 16104 16896 18605 19520 20130 21120 21472 22326 23424 26840 28160 29280 29768 31232 32208 37210 39040 40260 40931 42240 42944 44652 46848 53680 55815 58560 59536 64416 74420 78080 80520 81862 84480 85888 89304 93696 107360 111630 117120 119072 122793 128832 148840 156160 161040 163724 171776 178608 204655 214720 223260 234240 238144 245586 257664 297680 322080 327448 343552 357216 409310 429440 446520 468480 476288 491172 515328 595360 613965 644160 654896 714432 818620 858880 893040 952576 982344 1030656 1190720 1227930 1288320 1309792 1428864 1637240 1717760 1786080 1905152 1964688 2381440 2455860 2576640 2619584 2857728 3274480 3572160 3929376 4762880 4911720 5153280 5239168 5715456 6548960 7144320 7858752 9525760 9823440 10478336 13097920 14288640 15717504 19646880 20956672 26195840 28577280 31435008 39293760 52391680 62870016 78587520 104783360 157175040 314350080
- Sum of all divisors σ(n): 1114562592
- Sum of proper divisors (its aliquot sum) s(n): 800212512
- 314350080 is an abundant number, because the sum of its proper divisors (800212512) is greater than itself. Its abundance is 485862432
Bases of 314350080
- Binary: 100101011110010011010000000002
- Hexadecimal: 0x12BC9A00
- Base-36: 575M2O
Squares and roots of 314350080
- 314350080 squared (3143500802) is 98815972796006400
- 314350080 cubed (3143500803) is 31062808953702435520512000
-
The
square root of 314350080 is 17729.9204735949 -
The
cube root of 314350080 is 679.9409406609
Scales and comparisons
How big is 314350080?- 314,350,080 seconds is equal to 9 years, 51 weeks, 5 days, 7 hours, 28 minutes.
-
To count from 1 to 314,350,080 would take you about fourteen 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 314350080 cubic inches would be around 56.7 feet tall.
Recreational maths with 314350080
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