542368064000
542,368,064,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 542368064000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 640 divisors.
542368064000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 542368064000:
29 × 53 × 73 × 31 × 797
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 31 × 797)See below for interesting mathematical facts about the number 542368064000 from the Numbermatics database.
Names of 542368064000
- Cardinal: 542368064000 can be written as Five hundred forty-two billion, three hundred sixty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 5.42368064 × 1011
Factors of 542368064000
Divisors of 542368064000
- Number of divisors d(n): 640
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 62 64 70 80 98 100 112 124 125 128 140 155 160 175 196 200 217 224 245 248 250 256 280 310 320 343 350 392 400 434 448 490 496 500 512 560 620 640 686 700 775 784 797 800 868 875 896 980 992 1000 1085 1120 1225 1240 1280 1372 1400 1519 1550 1568 1594 1600 1715 1736 1750 1792 1960 1984 2000 2170 2240 2450 2480 2560 2744 2800 3038 3100 3136 3188 3200 3430 3472 3500 3584 3875 3920 3968 3985 4000 4340 4480 4900 4960 5425 5488 5579 5600 6076 6125 6200 6272 6376 6400 6860 6944 7000 7595 7750 7840 7936 7970 8000 8575 8680 8960 9800 9920 10633 10850 10976 11158 11200 12152 12250 12400 12544 12752 12800 13720 13888 14000 15190 15500 15680 15872 15940 16000 17150 17360 17920 19600 19840 19925 21266 21700 21952 22316 22400 24304 24500 24707 24800 25088 25504 27125 27440 27776 27895 28000 30380 31000 31360 31880 32000 34300 34720 37975 39053 39200 39680 39850 42532 42875 43400 43904 44632 44800 48608 49000 49414 49600 51008 53165 54250 54880 55552 55790 56000 60760 62000 62720 63760 64000 68600 69440 75950 78106 78400 79360 79700 85064 85750 86800 87808 89264 89600 97216 98000 98828 99200 99625 102016 106330 108500 109760 111104 111580 112000 121520 123535 124000 125440 127520 137200 138880 139475 151900 156212 156800 159400 170128 171500 172949 173600 175616 178528 189875 194432 195265 196000 197656 198400 199250 204032 212660 217000 219520 223160 224000 243040 247070 248000 255040 265825 273371 274400 277760 278950 303800 312424 313600 318800 340256 343000 345898 347200 357056 379750 388864 390530 392000 395312 396800 398500 408064 425320 434000 439040 446320 448000 486080 494140 496000 510080 531650 546742 548800 555520 557900 607600 617675 624848 627200 637600 680512 686000 691796 694400 697375 714112 759500 777728 781060 784000 790624 797000 850640 864745 868000 878080 892640 972160 976325 988280 992000 1020160 1063300 1093484 1097600 1115800 1210643 1215200 1235350 1249696 1275200 1329125 1361024 1366855 1372000 1383592 1388800 1394750 1428224 1519000 1562120 1568000 1581248 1594000 1701280 1729490 1736000 1785280 1944320 1952650 1976560 1984000 2040320 2126600 2186968 2195200 2231600 2421286 2430400 2470700 2499392 2550400 2658250 2722048 2733710 2744000 2767184 2777600 2789500 2856448 3038000 3088375 3124240 3136000 3162496 3188000 3402560 3458980 3472000 3570560 3888640 3905300 3953120 4253200 4323725 4373936 4390400 4463200 4842572 4860800 4881625 4941400 4998784 5100800 5316500 5444096 5467420 5488000 5534368 5579000 6053215 6076000 6176750 6248480 6324992 6376000 6805120 6834275 6917960 6944000 7141120 7810600 7906240 8474501 8506400 8647450 8747872 8926400 9685144 9721600 9763250 9882800 9997568 10201600 10633000 10934840 10976000 11068736 11158000 12106430 12152000 12353500 12496960 12649984 12752000 13610240 13668550 13835920 13888000 14282240 15621200 15812480 16949002 17012800 17294900 17495744 17852800 19370288 19443200 19526500 19765600 19995136 21266000 21618625 21869680 21952000 22137472 22316000 24212860 24304000 24707000 24993920 25504000 27220480 27337100 27671840 30266075 31242400 31624960 33898004 34025600 34171375 34589800 34991488 35705600 38740576 39053000 39531200 42372505 42532000 43237250 43739360 44274944 44632000 48425720 48608000 49414000 49987840 51008000 54674200 55343680 60532150 62484800 63249920 67796008 68051200 68342750 69179600 69982976 71411200 77481152 78106000 79062400 84745010 85064000 86474500 87478720 88549888 89264000 96851440 97216000 98828000 99975680 109348400 110687360 121064300 124969600 135592016 136102400 136685500 138359200 139965952 151330375 154962304 156212000 158124800 169490020 170128000 172949000 174957440 178528000 193702880 197656000 211862525 218696800 221374720 242128600 249939200 271184032 273371000 276718400 302660750 309924608 312424000 316249600 338980040 340256000 345898000 349914880 357056000 387405760 395312000 423725050 437393600 442749440 484257200 499878400 542368064 546742000 553436800 605321500 619849216 624848000 677960080 680512000 691796000 699829760 774811520 790624000 847450100 874787200 968514400 1059312625 1084736128 1093484000 1106873600 1210643000 1249696000 1355920160 1383592000 1549623040 1581248000 1694900200 1749574400 1937028800 2118625250 2169472256 2186968000 2213747200 2421286000 2499392000 2711840320 2767184000 3099246080 3389800400 3499148800 3874057600 4237250500 4338944512 4373936000 4842572000 5423680640 5534368000 6779600800 7748115200 8474501000 8747872000 9685144000 10847361280 11068736000 13559201600 15496230400 16949002000 17495744000 19370288000 21694722560 27118403200 33898004000 38740576000 54236806400 67796008000 77481152000 108473612800 135592016000 271184032000 542368064000
- Sum of all divisors σ(n): 1630095667200
- Sum of proper divisors (its aliquot sum) s(n): 1087727603200
- 542368064000 is an abundant number, because the sum of its proper divisors (1087727603200) is greater than itself. Its abundance is 545359539200
Bases of 542368064000
- Binary: 1111110010001111010011111100010000000002
- Hexadecimal: 0x7E47A7E200
- Base-36: 6X5RXWJK
Squares and roots of 542368064000
- 542368064000 squared (5423680640002) is 294163116847108096000000
- 542368064000 cubed (5423680640003) is 159544680184571802026246144000000000
-
The
square root of 542368064000 is 736456.4236938937 -
The
cube root of 542368064000 is 8155.1390374593
Scales and comparisons
How big is 542368064000?- 542,368,064,000 seconds is equal to 17,245 years, 32 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
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To count from 1 to 542,368,064,000 would take you about thirty-four thousand, four hundred ninety-one 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 542368064000 cubic inches would be around 679.6 feet tall.
Recreational maths with 542368064000
- 542368064000 backwards is 000460863245
- The number of decimal digits it has is: 12
- The sum of 542368064000's digits is 38
- More coming soon!
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