66438144
66,438,144 is an even composite number composed of three prime numbers multiplied together.
66438144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred fifty-four divisors.
Prime factorization of 66438144:
210 × 36 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 89)See below for interesting mathematical facts about the number 66438144 from the Numbermatics database.
Names of 66438144
- Cardinal: 66438144 can be written as Sixty-six million, four hundred thirty-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 6.6438144 × 107
Factors of 66438144
Divisors of 66438144
- Number of divisors d(n): 154
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 243 256 267 288 324 356 384 432 486 512 534 576 648 712 729 768 801 864 972 1024 1068 1152 1296 1424 1458 1536 1602 1728 1944 2136 2304 2403 2592 2848 2916 3072 3204 3456 3888 4272 4608 4806 5184 5696 5832 6408 6912 7209 7776 8544 9216 9612 10368 11392 11664 12816 13824 14418 15552 17088 19224 20736 21627 22784 23328 25632 27648 28836 31104 34176 38448 41472 43254 45568 46656 51264 57672 62208 64881 68352 76896 82944 86508 91136 93312 102528 115344 124416 129762 136704 153792 173016 186624 205056 230688 248832 259524 273408 307584 346032 373248 410112 461376 519048 615168 692064 746496 820224 922752 1038096 1230336 1384128 1845504 2076192 2460672 2768256 3691008 4152384 5536512 7382016 8304768 11073024 16609536 22146048 33219072 66438144
- Sum of all divisors σ(n): 201363390
- Sum of proper divisors (its aliquot sum) s(n): 134925246
- 66438144 is an abundant number, because the sum of its proper divisors (134925246) is greater than itself. Its abundance is 68487102
Bases of 66438144
- Binary: 111111010111000100000000002
- Hexadecimal: 0x3F5C400
- Base-36: 13K000
Squares and roots of 66438144
- 66438144 squared (664381442) is 4414026978164736
- 66438144 cubed (664381443) is 293259759995193586089984
-
The
square root of 66438144 is 8150.9596980969 -
The
cube root of 66438144 is 405.0162956407
Scales and comparisons
How big is 66438144?- 66,438,144 seconds is equal to 2 years, 5 weeks, 5 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 66,438,144 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 66438144 cubic inches would be around 33.8 feet tall.
Recreational maths with 66438144
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