67142400
67,142,400 is an even composite number composed of five prime numbers multiplied together.
67142400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 67142400:
28 × 3 × 52 × 13 × 269
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 269)See below for interesting mathematical facts about the number 67142400 from the Numbermatics database.
Names of 67142400
- Cardinal: 67142400 can be written as Sixty-seven million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 6.71424 × 107
Factors of 67142400
Divisors of 67142400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 128 130 150 156 160 192 195 200 208 240 256 260 269 300 312 320 325 384 390 400 416 480 520 538 600 624 640 650 768 780 800 807 832 960 975 1040 1076 1200 1248 1280 1300 1345 1560 1600 1614 1664 1920 1950 2080 2152 2400 2496 2600 2690 3120 3200 3228 3328 3497 3840 3900 4035 4160 4304 4800 4992 5200 5380 6240 6400 6456 6725 6994 7800 8070 8320 8608 9600 9984 10400 10491 10760 12480 12912 13450 13988 15600 16140 16640 17216 17485 19200 20175 20800 20982 21520 24960 25824 26900 27976 31200 32280 34432 34970 40350 41600 41964 43040 49920 51648 52455 53800 55952 62400 64560 68864 69940 80700 83200 83928 86080 87425 103296 104910 107600 111904 124800 129120 139880 161400 167856 172160 174850 206592 209820 215200 223808 249600 258240 262275 279760 322800 335712 344320 349700 419640 430400 447616 516480 524550 559520 645600 671424 699400 839280 860800 895232 1032960 1049100 1119040 1291200 1342848 1398800 1678560 1721600 2098200 2238080 2582400 2685696 2797600 3357120 4196400 4476160 5164800 5595200 6714240 8392800 11190400 13428480 16785600 22380800 33571200 67142400
- Sum of all divisors σ(n): 239515920
- Sum of proper divisors (its aliquot sum) s(n): 172373520
- 67142400 is an abundant number, because the sum of its proper divisors (172373520) is greater than itself. Its abundance is 105231120
Bases of 67142400
- Binary: 1000000000010000011000000002
- Hexadecimal: 0x4008300
- Base-36: 13Z3EO
Squares and roots of 67142400
- 67142400 squared (671424002) is 4508101877760000
- 67142400 cubed (671424003) is 302684779517313024000000
-
The
square root of 67142400 is 8194.0466193451 -
The
cube root of 67142400 is 406.4423499381
Scales and comparisons
How big is 67142400?- 67,142,400 seconds is equal to 2 years, 7 weeks, 2 hours, 40 minutes.
-
To count from 1 to 67,142,400 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 67142400 cubic inches would be around 33.9 feet tall.
Recreational maths with 67142400
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