214348800
214,348,800 is an even composite number composed of four prime numbers multiplied together.
214348800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred thirty-two divisors.
Prime factorization of 214348800:
210 × 3 × 52 × 2791
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 2791)See below for interesting mathematical facts about the number 214348800 from the Numbermatics database.
Names of 214348800
- Cardinal: 214348800 can be written as Two hundred fourteen million, three hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.143488 × 108
Factors of 214348800
Divisors of 214348800
- Number of divisors d(n): 132
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2400 2560 2791 3072 3200 3840 4800 5120 5582 6400 7680 8373 9600 11164 12800 13955 15360 16746 19200 22328 25600 27910 33492 38400 41865 44656 55820 66984 69775 76800 83730 89312 111640 133968 139550 167460 178624 209325 223280 267936 279100 334920 357248 418650 446560 535872 558200 669840 714496 837300 893120 1071744 1116400 1339680 1428992 1674600 1786240 2143488 2232800 2679360 2857984 3349200 3572480 4286976 4465600 5358720 6698400 7144960 8573952 8931200 10717440 13396800 14289920 17862400 21434880 26793600 35724800 42869760 53587200 71449600 107174400 214348800
- Sum of all divisors σ(n): 708687776
- Sum of proper divisors (its aliquot sum) s(n): 494338976
- 214348800 is an abundant number, because the sum of its proper divisors (494338976) is greater than itself. Its abundance is 279990176
Bases of 214348800
- Binary: 11001100011010110100000000002
- Hexadecimal: 0xCC6B400
- Base-36: 3JM8LC
Squares and roots of 214348800
- 214348800 squared (2143488002) is 45945408061440000
- 214348800 cubed (2143488003) is 9848343083479990272000000
-
The
square root of 214348800 is 14640.6557230199 -
The
cube root of 214348800 is 598.4671986457
Scales and comparisons
How big is 214348800?- 214,348,800 seconds is equal to 6 years, 42 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 214,348,800 would take you about ten 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 214348800 cubic inches would be around 49.9 feet tall.
Recreational maths with 214348800
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