68145120
68,145,120 is an even composite number composed of five prime numbers multiplied together.
68145120 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 68145120:
25 × 32 × 5 × 37 × 1279
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 37 × 1279)See below for interesting mathematical facts about the number 68145120 from the Numbermatics database.
Names of 68145120
- Cardinal: 68145120 can be written as Sixty-eight million, one hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.814512 × 107
Factors of 68145120
Divisors of 68145120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1279 1332 1440 1480 1665 1776 2220 2558 2664 2960 3330 3552 3837 4440 5116 5328 5920 6395 6660 7674 8880 10232 10656 11511 12790 13320 15348 17760 19185 20464 23022 25580 26640 30696 38370 40928 46044 47323 51160 53280 57555 61392 76740 92088 94646 102320 115110 122784 141969 153480 184176 189292 204640 230220 236615 283938 306960 368352 378584 425907 460440 473230 567876 613920 709845 757168 851814 920880 946460 1135752 1419690 1514336 1703628 1841760 1892920 2129535 2271504 2839380 3407256 3785840 4259070 4543008 5678760 6814512 7571680 8518140 11357520 13629024 17036280 22715040 34072560 68145120
- Sum of all divisors σ(n): 239016960
- Sum of proper divisors (its aliquot sum) s(n): 170871840
- 68145120 is an abundant number, because the sum of its proper divisors (170871840) is greater than itself. Its abundance is 102726720
Bases of 68145120
- Binary: 1000000111111001111111000002
- Hexadecimal: 0x40FCFE0
- Base-36: 14KL40
Squares and roots of 68145120
- 68145120 squared (681451202) is 4643757379814400
- 68145120 cubed (681451203) is 316449403898337865728000
-
The
square root of 68145120 is 8255.0057540865 -
The
cube root of 68145120 is 408.4556616231
Scales and comparisons
How big is 68145120?- 68,145,120 seconds is equal to 2 years, 8 weeks, 4 days, 17 hours, 12 minutes.
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To count from 1 to 68,145,120 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 68145120 cubic inches would be around 34 feet tall.
Recreational maths with 68145120
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