542838643228672000
542,838,643,228,672,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 542838643228672000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
542838643228672000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 542838643228672000:
226 × 53 × 73 × 37 × 5099
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 37 × 5099)See below for interesting mathematical facts about the number 542838643228672000 from the Numbermatics database.
Names of 542838643228672000
- Cardinal: 542838643228672000 can be written as Five hundred forty-two quadrillion, eight hundred thirty-eight trillion, six hundred forty-three billion, two hundred twenty-eight million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 5.42838643228672 × 1017
Factors of 542838643228672000
Divisors of 542838643228672000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 49 50 56 64 70 74 80 98 100 112 125 128 140 148 160 175 185 196 200 224 245 250 256 259 280 296 320 343 350 370 392 400 448 490 500 512 518 560 592 640 686 700 740 784 800 875 896 925 980 1000 1024 1036 1120 1184 1225 1280 1295 1372 1400 1480 1568 1600 1715 1750 1792 1813 1850 1960 2000 2048 2072 2240 2368 2450 2560 2590 2744 2800 2960 3136 3200 3430 3500 3584 3626 3700 3920 4000 4096 4144 4480 4625 4736 4900 5099 5120 5180 5488 5600 5920 6125 6272 6400 6475 6860 7000 7168 7252 7400 7840 8000 8192 8288 8575 8960 9065 9250 9472 9800 10198 10240 10360 10976 11200 11840 12250 12544 12691 12800 12950 13720 14000 14336 14504 14800 15680 16000 16384 16576 17150 17920 18130 18500 18944 19600 20396 20480 20720 21952 22400 23680 24500 25088 25382 25495 25600 25900 27440 28000 28672 29008 29600 31360 32000 32375 32768 33152 34300 35693 35840 36260 37000 37888 39200 40792 40960 41440 42875 43904 44800 45325 47360 49000 50176 50764 50990 51200 51800 54880 56000 57344 58016 59200 62720 63455 64000 64750 65536 66304 68600 71386 71680 72520 74000 75776 78400 81584 81920 82880 85750 87808 89600 90650 94720 98000 100352 101528 101980 102400 103600 109760 112000 114688 116032 118400 125440 126910 127475 128000 129500 131072 132608 137200 142772 143360 145040 148000 151552 156800 163168 163840 165760 171500 175616 178465 179200 181300 188663 189440 196000 200704 203056 203960 204800 207200 219520 224000 226625 229376 232064 236800 249851 250880 253820 254950 256000 259000 262144 265216 274400 285544 286720 290080 296000 303104 313600 317275 326336 327680 331520 343000 351232 356930 358400 362600 377326 378880 392000 401408 406112 407920 409600 414400 439040 448000 453250 458752 464128 473600 499702 501760 507640 509900 512000 518000 524288 530432 548800 571088 573440 580160 592000 606208 627200 634550 637375 652672 655360 663040 686000 702464 713860 716800 725200 754652 757760 784000 802816 812224 815840 819200 828800 878080 892325 896000 906500 917504 928256 943315 947200 999404 1003520 1015280 1019800 1024000 1036000 1048576 1060864 1097600 1142176 1146880 1160320 1184000 1212416 1249255 1254400 1269100 1274750 1305344 1310720 1320641 1326080 1372000 1404928 1427720 1433600 1450400 1509304 1515520 1568000 1586375 1605632 1624448 1631680 1638400 1657600 1748957 1756160 1784650 1792000 1813000 1835008 1856512 1886630 1894400 1998808 2007040 2030560 2039600 2048000 2072000 2097152 2121728 2195200 2284352 2293760 2320640 2368000 2424832 2498510 2508800 2538200 2549500 2610688 2621440 2641282 2652160 2744000 2809856 2855440 2867200 2900800 3018608 3031040 3136000 3172750 3211264 3248896 3263360 3276800 3315200 3497914 3512320 3569300 3584000 3626000 3670016 3713024 3773260 3788800 3997616 4014080 4061120 4079200 4096000 4144000 4194304 4243456 4390400 4461625 4568704 4587520 4641280 4716575 4736000 4849664 4997020 5017600 5076400 5099000 5221376 5242880 5282564 5304320 5488000 5619712 5710880 5734400 5801600 6037216 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791309975552000 848185380044800 916957167616000 969354720051200 1047951048704000 1060231725056000 1085677286457344 1107833965772800 1211693400064000 1357096608071680 1384792457216000 1467131468185600 1550967552081920 1582619951104000 1696370760089600 1833914335232000 1938709440102400 2095902097408000 2120463450112000 2171354572914688 2215667931545600 2423386800128000 2714193216143360 2769584914432000 2934262936371200 3101935104163840 3392741520179200 3667828670464000 3877418880204800 4240926900224000 4342709145829376 4846773600256000 5428386432286720 5539169828864000 6785483040358400 7335657340928000 7754837760409600 8481853800448000 9693547200512000 10856772864573440 11078339657728000 13570966080716800 14671314681856000 15509675520819200 16963707600896000 19387094401024000 21713545729146880 27141932161433600 33927415201792000 38774188802048000 54283864322867200 67854830403584000 77548377604096000 108567728645734400 135709660807168000 271419321614336000 542838643228672000
- Sum of all divisors σ(n): 1623111078738240000
- Sum of proper divisors (its aliquot sum) s(n): 1080272435509568000
- 542838643228672000 is an abundant number, because the sum of its proper divisors (1080272435509568000) is greater than itself. Its abundance is 537433792280896000
Bases of 542838643228672000
- Binary: 111100010001000110011011110101101000000000000000000000000002
- Hexadecimal: 0x7888CDEB4000000
- Base-36: 44H08M0JX98G
Squares and roots of 542838643228672000
- 542838643228672000 squared (5428386432286720002) is 294673792582345445396482883584000000
- 542838643228672000 cubed (5428386432286720003) is 159960321760447512833647463187170070466920448000000000
-
The
square root of 542838643228672000 is 736775843.2716642753 -
The
cube root of 542838643228672000 is 815749.6925600613
Scales and comparisons
How big is 542838643228672000?- 542,838,643,228,672,000 seconds is equal to 17,260,589,744 years, 26 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 542,838,643,228,672,000 would take you about fifty-one billion, seven hundred eighty-one million, seven hundred sixty-nine thousand, two hundred thirty-three 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 542838643228672000 cubic inches would be around 67979.1 feet tall.
Recreational maths with 542838643228672000
- 542838643228672000 backwards is 000276822346838245
- 542838643228672000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 542838643228672000's digits is 70
- More coming soon!
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"Number 542838643228672000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 542838643228672000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/542838643228672000/
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Numbermatics. 2024. "Number 542838643228672000 - Facts about the integer". https://numbermatics.com/n/542838643228672000/
The information we have on file for 542838643228672000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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