542370400
542,370,400 is an even composite number composed of five prime numbers multiplied together.
542370400 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 542370400:
25 × 52 × 112 × 13 × 431
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 13 × 431)See below for interesting mathematical facts about the number 542370400 from the Numbermatics database.
Names of 542370400
- Cardinal: 542370400 can be written as Five hundred forty-two million, three hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 5.423704 × 108
Factors of 542370400
Divisors of 542370400
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 65 80 88 100 104 110 121 130 143 160 176 200 208 220 242 260 275 286 325 352 400 416 431 440 484 520 550 572 605 650 715 800 862 880 968 1040 1100 1144 1210 1300 1430 1573 1724 1760 1936 2080 2155 2200 2288 2420 2600 2860 3025 3146 3448 3575 3872 4310 4400 4576 4741 4840 5200 5603 5720 6050 6292 6896 7150 7865 8620 8800 9482 9680 10400 10775 11206 11440 12100 12584 13792 14300 15730 17240 18964 19360 21550 22412 22880 23705 24200 25168 28015 28600 31460 34480 37928 39325 43100 44824 47410 48400 50336 52151 56030 57200 61633 62920 68960 75856 78650 86200 89648 94820 96800 104302 112060 114400 118525 123266 125840 140075 151712 157300 172400 179296 189640 208604 224120 237050 246532 251680 260755 280150 308165 314600 344800 379280 417208 448240 474100 493064 521510 560300 616330 629200 677963 758560 834416 896480 948200 986128 1043020 1120600 1232660 1258400 1303775 1355926 1540825 1668832 1896400 1972256 2086040 2241200 2465320 2607550 2711852 3081650 3389815 3792800 4172080 4482400 4930640 5215100 5423704 6163300 6779630 8344160 9861280 10430200 10847408 12326600 13559260 16949075 20860400 21694816 24653200 27118520 33898150 41720800 49306400 54237040 67796300 108474080 135592600 271185200 542370400
- Sum of all divisors σ(n): 1570961952
- Sum of proper divisors (its aliquot sum) s(n): 1028591552
- 542370400 is an abundant number, because the sum of its proper divisors (1028591552) is greater than itself. Its abundance is 486221152
Bases of 542370400
- Binary: 1000000101001111101010011000002
- Hexadecimal: 0x2053EA60
- Base-36: 8YWVOG
Squares and roots of 542370400
- 542370400 squared (5423704002) is 294165650796160000
- 542370400 cubed (5423704003) is 159546741688573617664000000
-
The
square root of 542370400 is 23288.8471161627 -
The
cube root of 542370400 is 815.5150745607
Scales and comparisons
How big is 542370400?- 542,370,400 seconds is equal to 17 years, 12 weeks, 5 days, 10 hours, 26 minutes, 40 seconds.
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To count from 1 to 542,370,400 would take you about twenty-five 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 542370400 cubic inches would be around 68 feet tall.
Recreational maths with 542370400
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