542142720
542,142,720 is an even composite number composed of five prime numbers multiplied together.
542142720 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 542142720:
28 × 36 × 5 × 7 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 83)See below for interesting mathematical facts about the number 542142720 from the Numbermatics database.
Names of 542142720
- Cardinal: 542142720 can be written as Five hundred forty-two million, one hundred forty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 5.4214272 × 108
Factors of 542142720
Divisors of 542142720
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 81 83 84 90 96 105 108 112 120 126 128 135 140 144 160 162 166 168 180 189 192 210 216 224 240 243 249 252 256 270 280 288 315 320 324 332 336 360 378 384 405 415 420 432 448 480 486 498 504 540 560 567 576 581 630 640 648 664 672 720 729 747 756 768 810 830 840 864 896 945 960 972 996 1008 1080 1120 1134 1152 1162 1215 1245 1260 1280 1296 1328 1344 1440 1458 1494 1512 1620 1660 1680 1701 1728 1743 1792 1890 1920 1944 1992 2016 2160 2240 2241 2268 2304 2324 2430 2490 2520 2592 2656 2688 2835 2880 2905 2916 2988 3024 3240 3320 3360 3402 3456 3486 3645 3735 3780 3840 3888 3984 4032 4320 4480 4482 4536 4648 4860 4980 5040 5103 5184 5229 5312 5376 5670 5760 5810 5832 5976 6048 6480 6640 6720 6723 6804 6912 6972 7290 7470 7560 7776 7968 8064 8505 8640 8715 8960 8964 9072 9296 9720 9960 10080 10206 10368 10458 10624 11205 11340 11520 11620 11664 11952 12096 12960 13280 13440 13446 13608 13944 14580 14940 15120 15552 15687 15936 16128 17010 17280 17430 17928 18144 18592 19440 19920 20160 20169 20412 20736 20916 21248 22410 22680 23240 23328 23904 24192 25515 25920 26145 26560 26880 26892 27216 27888 29160 29880 30240 31104 31374 31872 33615 34020 34560 34860 35856 36288 37184 38880 39840 40320 40338 40824 41832 44820 45360 46480 46656 47061 47808 48384 51030 51840 52290 53120 53784 54432 55776 58320 59760 60480 60507 62208 62748 63744 67230 68040 69720 71712 72576 74368 77760 78435 79680 80640 80676 81648 83664 89640 90720 92960 93312 94122 95616 100845 102060 103680 104580 106240 107568 108864 111552 116640 119520 120960 121014 125496 134460 136080 139440 141183 143424 145152 148736 155520 156870 159360 161352 163296 167328 179280 181440 185920 186624 188244 191232 201690 204120 209160 215136 217728 223104 233280 235305 239040 241920 242028 250992 268920 272160 278880 282366 286848 302535 311040 313740 318720 322704 326592 334656 358560 362880 371840 376488 403380 408240 418320 423549 430272 435456 446208 466560 470610 478080 484056 501984 537840 544320 557760 564732 573696 605070 627480 645408 653184 669312 705915 717120 725760 743680 752976 806760 816480 836640 847098 860544 933120 941220 956160 968112 1003968 1075680 1088640 1115520 1129464 1210140 1254960 1290816 1306368 1338624 1411830 1434240 1505952 1613520 1632960 1673280 1694196 1721088 1882440 1936224 2007936 2117745 2151360 2177280 2231040 2258928 2420280 2509920 2581632 2823660 2868480 3011904 3227040 3265920 3346560 3388392 3764880 3872448 4015872 4235490 4302720 4517856 4840560 5019840 5163264 5647320 6023808 6454080 6531840 6693120 6776784 7529760 7744896 8470980 8605440 9035712 9681120 10039680 11294640 12047616 12908160 13553568 15059520 15489792 16941960 18071424 19362240 20079360 22589280 25816320 27107136 30119040 33883920 36142848 38724480 45178560 54214272 60238080 67767840 77448960 90357120 108428544 135535680 180714240 271071360 542142720
- Sum of all divisors σ(n): 2251964736
- Sum of proper divisors (its aliquot sum) s(n): 1709822016
- 542142720 is an abundant number, because the sum of its proper divisors (1709822016) is greater than itself. Its abundance is 1167679296
Bases of 542142720
- Binary: 1000000101000001110001000000002
- Hexadecimal: 0x20507100
- Base-36: 8YS000
Squares and roots of 542142720
- 542142720 squared (5421427202) is 293918728848998400
- 542142720 cubed (5421427203) is 159345899117138461851648000
-
The
square root of 542142720 is 23283.9584263501 -
The
cube root of 542142720 is 815.4009444019
Scales and comparisons
How big is 542142720?- 542,142,720 seconds is equal to 17 years, 12 weeks, 2 days, 19 hours, 12 minutes.
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To count from 1 to 542,142,720 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 542142720 cubic inches would be around 68 feet tall.
Recreational maths with 542142720
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