242894400
242,894,400 is an even composite number composed of five prime numbers multiplied together.
242894400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 242894400:
26 × 3 × 52 × 7 × 7229
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7229)See below for interesting mathematical facts about the number 242894400 from the Numbermatics database.
Names of 242894400
- Cardinal: 242894400 can be written as Two hundred forty-two million, eight hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.428944 × 108
Factors of 242894400
Divisors of 242894400
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 400 420 448 480 525 560 600 672 700 800 840 960 1050 1120 1200 1344 1400 1600 1680 2100 2240 2400 2800 3360 4200 4800 5600 6720 7229 8400 11200 14458 16800 21687 28916 33600 36145 43374 50603 57832 72290 86748 101206 108435 115664 144580 151809 173496 180725 202412 216870 231328 253015 289160 303618 346992 361450 404824 433740 462656 506030 542175 578320 607236 693984 722900 759045 809648 867480 1012060 1084350 1156640 1214472 1265075 1387968 1445800 1518090 1619296 1734960 2024120 2168700 2313280 2428944 2530150 2891600 3036180 3238592 3469920 3795225 4048240 4337400 4857888 5060300 5783200 6072360 6939840 7590450 8096480 8674800 9715776 10120600 11566400 12144720 15180900 16192960 17349600 20241200 24289440 30361800 34699200 40482400 48578880 60723600 80964800 121447200 242894400
- Sum of all divisors σ(n): 910864320
- Sum of proper divisors (its aliquot sum) s(n): 667969920
- 242894400 is an abundant number, because the sum of its proper divisors (667969920) is greater than itself. Its abundance is 425075520
Bases of 242894400
- Binary: 11100111101001000110010000002
- Hexadecimal: 0xE7A4640
- Base-36: 40M2IO
Squares and roots of 242894400
- 242894400 squared (2428944002) is 58997689551360000
- 242894400 cubed (2428944003) is 14330208404963856384000000
-
The
square root of 242894400 is 15585.0697784771 -
The
cube root of 242894400 is 623.9347400521
Scales and comparisons
How big is 242894400?- 242,894,400 seconds is equal to 7 years, 37 weeks, 4 days, 6 hours, 40 minutes.
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To count from 1 to 242,894,400 would take you about eleven 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 242894400 cubic inches would be around 52 feet tall.
Recreational maths with 242894400
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