680146272
680,146,272 is an even composite number composed of five prime numbers multiplied together.
680146272 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 680146272:
25 × 32 × 13 × 389 × 467
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 389 × 467)See below for interesting mathematical facts about the number 680146272 from the Numbermatics database.
Names of 680146272
- Cardinal: 680146272 can be written as Six hundred eighty million, one hundred forty-six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 6.80146272 × 108
Factors of 680146272
Divisors of 680146272
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 389 416 467 468 624 778 934 936 1167 1248 1401 1556 1868 1872 2334 2802 3112 3501 3736 3744 4203 4668 5057 5604 6071 6224 7002 7472 8406 9336 10114 11208 12142 12448 14004 14944 15171 16812 18213 18672 20228 22416 24284 28008 30342 33624 36426 37344 40456 44832 45513 48568 54639 56016 60684 67248 72852 80912 91026 97136 109278 112032 121368 134496 145704 161824 181663 182052 194272 218556 242736 291408 363326 364104 437112 485472 544989 582816 726652 728208 874224 1089978 1453304 1456416 1634967 1748448 2179956 2361619 2906608 3269934 4359912 4723238 5813216 6539868 7084857 8719824 9446476 13079736 14169714 17439648 18892952 21254571 26159472 28339428 37785904 42509142 52318944 56678856 75571808 85018284 113357712 170036568 226715424 340073136 680146272
- Sum of all divisors σ(n): 2092774320
- Sum of proper divisors (its aliquot sum) s(n): 1412628048
- 680146272 is an abundant number, because the sum of its proper divisors (1412628048) is greater than itself. Its abundance is 732481776
Bases of 680146272
- Binary: 1010001000101000110101011000002
- Hexadecimal: 0x288A3560
- Base-36: B8XW80
Squares and roots of 680146272
- 680146272 squared (6801462722) is 462598951315497984
- 680146272 cubed (6801462723) is 314634952168345449641115648
-
The
square root of 680146272 is 26079.6141075745 -
The
cube root of 680146272 is 879.4289821729
Scales and comparisons
How big is 680146272?- 680,146,272 seconds is equal to 21 years, 32 weeks, 4 days, 1 hour, 31 minutes, 12 seconds.
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To count from 1 to 680,146,272 would take you about thirty-two 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 680146272 cubic inches would be around 73.3 feet tall.
Recreational maths with 680146272
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