542139840
542,139,840 is an even composite number composed of six prime numbers multiplied together.
542139840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 542139840:
26 × 32 × 5 × 11 × 109 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 109 × 157)See below for interesting mathematical facts about the number 542139840 from the Numbermatics database.
Names of 542139840
- Cardinal: 542139840 can be written as Five hundred forty-two million, one hundred thirty-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 5.4213984 × 108
Factors of 542139840
Divisors of 542139840
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 64 66 72 80 88 90 96 99 109 110 120 132 144 157 160 165 176 180 192 198 218 220 240 264 288 314 320 327 330 352 360 396 436 440 471 480 495 528 545 576 628 654 660 704 720 785 792 872 880 942 960 981 990 1056 1090 1199 1256 1308 1320 1413 1440 1570 1584 1635 1727 1744 1760 1884 1962 1980 2112 2180 2355 2398 2512 2616 2640 2826 2880 3140 3168 3270 3454 3488 3520 3597 3768 3924 3960 4360 4710 4796 4905 5024 5181 5232 5280 5652 5995 6280 6336 6540 6908 6976 7065 7194 7536 7848 7920 8635 8720 9420 9592 9810 10048 10362 10464 10560 10791 11304 11990 12560 13080 13816 14130 14388 15072 15543 15696 15840 17113 17270 17440 17985 18840 19184 19620 20724 20928 21582 22608 23980 25120 25905 26160 27632 28260 28776 30144 31086 31392 31680 34226 34540 34880 35970 37680 38368 39240 41448 43164 45216 47960 50240 51339 51810 52320 53955 55264 56520 57552 62172 62784 68452 69080 71940 75360 76736 77715 78480 82896 85565 86328 90432 95920 102678 103620 104640 107910 110528 113040 115104 124344 136904 138160 143880 150720 154017 155430 156960 165792 171130 172656 188243 191840 205356 207240 215820 226080 230208 248688 256695 273808 276320 287760 308034 310860 313920 331584 342260 345312 376486 383680 410712 414480 431640 452160 497376 513390 547616 552640 564729 575520 616068 621720 684520 690624 752972 770085 821424 828960 863280 941215 994752 1026780 1095232 1129458 1151040 1232136 1243440 1369040 1505944 1540170 1642848 1657920 1694187 1726560 1882430 2053560 2258916 2464272 2486880 2738080 2823645 3011888 3080340 3285696 3388374 3453120 3764860 4107120 4517832 4928544 4973760 5476160 5647290 6023776 6160680 6776748 7529720 8214240 8470935 9035664 9857088 11294580 12047552 12321360 13553496 15059440 16428480 16941870 18071328 22589160 24642720 27106992 30118880 33883740 36142656 45178320 49285440 54213984 60237760 67767480 90356640 108427968 135534960 180713280 271069920 542139840
- Sum of all divisors σ(n): 2065995360
- Sum of proper divisors (its aliquot sum) s(n): 1523855520
- 542139840 is an abundant number, because the sum of its proper divisors (1523855520) is greater than itself. Its abundance is 981715680
Bases of 542139840
- Binary: 1000000101000001100101110000002
- Hexadecimal: 0x205065C0
- Base-36: 8YRXS0
Squares and roots of 542139840
- 542139840 squared (5421398402) is 293915606115225600
- 542139840 cubed (5421398403) is 159343359672811428347904000
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The
square root of 542139840 is 23283.8965811139 -
The
cube root of 542139840 is 815.3995005269
Scales and comparisons
How big is 542139840?- 542,139,840 seconds is equal to 17 years, 12 weeks, 2 days, 18 hours, 24 minutes.
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To count from 1 to 542,139,840 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 542139840 cubic inches would be around 67.9 feet tall.
Recreational maths with 542139840
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