67985148
67,985,148 is an even composite number composed of six prime numbers multiplied together.
67985148 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 67985148:
22 × 3 × 72 × 11 × 23 × 457
(2 × 2 × 3 × 7 × 7 × 11 × 23 × 457)See below for interesting mathematical facts about the number 67985148 from the Numbermatics database.
Names of 67985148
- Cardinal: 67985148 can be written as Sixty-seven million, nine hundred eighty-five thousand, one hundred forty-eight.
Scientific notation
- Scientific notation: 6.7985148 × 107
Factors of 67985148
Divisors of 67985148
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 49 66 69 77 84 92 98 132 138 147 154 161 196 231 253 276 294 308 322 457 462 483 506 539 588 644 759 914 924 966 1012 1078 1127 1371 1518 1617 1771 1828 1932 2156 2254 2742 3036 3199 3234 3381 3542 4508 5027 5313 5484 6398 6468 6762 7084 9597 10054 10511 10626 12397 12796 13524 15081 19194 20108 21022 21252 22393 24794 30162 31533 35189 37191 38388 42044 44786 49588 60324 63066 67179 70378 73577 74382 89572 105567 115621 126132 134358 140756 147154 148764 211134 220731 231242 246323 268716 294308 346863 422268 441462 462484 492646 515039 693726 738969 809347 882924 985292 1030078 1387452 1477938 1545117 1618694 2060156 2428041 2955876 3090234 3237388 4856082 5665429 6180468 9712164 11330858 16996287 22661716 33992574 67985148
- Sum of all divisors σ(n): 210518784
- Sum of proper divisors (its aliquot sum) s(n): 142533636
- 67985148 is an abundant number, because the sum of its proper divisors (142533636) is greater than itself. Its abundance is 74548488
Bases of 67985148
- Binary: 1000000110101011110111111002
- Hexadecimal: 0x40D5EFC
- Base-36: 14H5OC
Squares and roots of 67985148
- 67985148 squared (679851482) is 4621980348581904
- 67985148 cubed (679851483) is 314226018051432333561792
-
The
square root of 67985148 is 8245.3106672823 -
The
cube root of 67985148 is 408.1357919783
Scales and comparisons
How big is 67985148?- 67,985,148 seconds is equal to 2 years, 8 weeks, 2 days, 20 hours, 45 minutes, 48 seconds.
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To count from 1 to 67,985,148 would take you about three 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 67985148 cubic inches would be around 34 feet tall.
Recreational maths with 67985148
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