542142263771085824
542,142,263,771,085,824 is an even composite number composed of five prime numbers multiplied together.
542142263771085824 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 542142263771085824:
210 × 72 × 113 × 372 × 1813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 11 × 37 × 37 × 181 × 181 × 181)See below for interesting mathematical facts about the number 542142263771085824 from the Numbermatics database.
Names of 542142263771085824
- Cardinal: 542142263771085824 can be written as Five hundred forty-two quadrillion, one hundred forty-two trillion, two hundred sixty-three billion, seven hundred seventy-one million, eighty-five thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 5.42142263771085824 × 1017
Factors of 542142263771085824
Divisors of 542142263771085824
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 37 44 49 56 64 74 77 88 98 112 121 128 148 154 176 181 196 224 242 256 259 296 308 352 362 392 407 448 484 512 518 539 592 616 704 724 784 814 847 896 968 1024 1036 1078 1184 1232 1267 1331 1369 1408 1448 1568 1628 1694 1792 1813 1936 1991 2072 2156 2368 2464 2534 2662 2738 2816 2849 2896 3136 3256 3388 3584 3626 3872 3982 4144 4312 4477 4736 4928 5068 5324 5476 5632 5698 5792 5929 6272 6512 6697 6776 7168 7252 7744 7964 8288 8624 8869 8954 9317 9472 9583 9856 10136 10648 10952 11264 11396 11584 11858 12544 13024 13394 13552 13937 14504 15059 15488 15928 16576 17248 17738 17908 18634 18944 19166 19712 19943 20272 21296 21901 21904 22792 23168 23716 25088 26048 26788 27104 27874 29008 30118 30976 31339 31856 32761 33152 34496 35476 35816 37268 37888 38332 39424 39886 40544 42592 43802 43808 45584 46336 46879 47432 49247 50176 52096 53576 54208 55748 58016 60236 61952 62678 63712 65219 65522 66304 67081 68992 70952 71632 73667 74536 76664 78848 79772 81088 85184 87604 87616 91168 92672 93758 94864 97559 98494 104192 105413 107152 108416 111496 116032 120472 123904 125356 127424 130438 131044 132608 134162 137984 141904 143264 147334 149072 153307 153328 159544 162176 165649 170368 175208 175232 182336 185344 187516 189728 195118 196988 208384 210826 214304 216832 219373 222992 229327 232064 240911 240944 247789 250712 254848 260876 262088 265216 268324 275968 283808 286528 294668 298144 306614 306656 319088 324352 328153 331298 340736 344729 350416 350464 360371 364672 375032 379456 390236 393976 416768 421652 428608 433664 438746 445984 458654 464128 481822 481888 495578 501424 509696 515669 521752 524176 536648 551936 567616 573056 589336 596288 613228 613312 638176 648704 656306 662596 681472 689458 700832 700928 720742 729344 737891 750064 758912 780472 787952 810337 843304 857216 867328 877492 891968 917308 928256 963644 963776 991156 1002848 1019392 1031338 1043504 1048352 1073149 1073296 1135232 1146112 1159543 1178672 1192576 1212157 1226456 1226624 1276352 1297408 1312612 1325192 1362944 1378916 1401664 1401856 1441484 1458688 1475782 1500128 1517824 1560944 1575904 1605289 1620674 1686377 1686608 1714432 1734523 1754984 1783936 1822139 1834616 1856512 1927288 1927552 1982312 2005696 2038784 2062676 2087008 2096704 2146298 2146592 2270464 2292224 2319086 2357344 2385152 2413103 2424314 2452912 2453248 2522597 2552704 2625224 2650384 2725679 2757832 2803328 2882968 2917376 2951564 3000256 3035648 3121888 3151808 3210578 3241348 3372754 3373216 3428864 3469046 3509968 3567872 3609683 3644278 3669232 3854576 3855104 3964081 3964624 4011392 4125352 4174016 4193408 4292596 4293184 4540928 4584448 4638172 4714688 4770304 4826206 4848628 4905824 4906496 5045194 5105408 5250448 5300768 5451358 5515664 5606656 5672359 5765936 5903128 5929741 6000512 6071296 6243776 6303616 6421156 6482696 6745508 6746432 6857728 6938092 7019936 7135744 7219366 7288556 7338464 7709152 7710208 7928162 7929248 8022784 8116801 8250704 8348032 8386816 8485099 8585192 8586368 8913707 9081856 9276344 9429376 9540608 9652412 9697256 9811648 9812992 10090388 10210816 10500896 10601536 10902716 11031328 11213312 11344718 11531872 11804639 11806256 11859482 12001024 12141661 12487552 12607232 12754973 12842312 12965392 13333727 13491016 13492864 13876184 14039872 14271488 14438732 14577112 14676928 15418304 15420416 15856324 15858496 16045568 16233602 16501408 16696064 16773632 16970198 17170384 17172736 17658179 17827414 18552688 18858752 19079753 19304824 19394512 19623296 20180776 20421632 21001792 21203072 21805432 22062656 22426624 22689436 23063744 23609278 23612512 23718964 24002048 24283322 24975104 25214464 25509946 25684624 25930784 26667454 26982032 26985728 27748567 27752368 28079744 28877464 29154224 29353856 29982469 30836608 31712648 31716992 32091136 32467204 33002816 33392128 33547264 33940396 34340768 34345472 35316358 35654828 37105376 37717504 38159506 38609648 38789024 39246592 39706513 40361552 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3784218392416 3820486129856 3929022667636 4040952458752 4088307370378 4137101002496 4156321499648 4254632280976 4324821019904 4375502516231 4500151601792 4672351280432 4862436892544 5000574304264 5059562712512 5143030402048 5203300289572 5504317661696 5557070734336 5714942062016 5782357385728 5850119386342 5946628902368 6187708452464 6188556045056 6364367296336 6685850727248 6796147316992 6875789668363 7071666802816 7273562624384 7359363945472 7568436784832 7640972259712 7858045335272 8081904917504 8176614740756 8274202004992 8312642999296 8509264561952 8649642039808 8751005032462 9000303203584 9344702560864 9724873785088 10001148608528 10119125425024 10406600579144 10804812335999 11008635323392 11429884124032 11564714771456 11700238772684 11893257804736 12375416904928 12377112090112 12728734592672 13371701454496 13592294633984 13751579336726 14143333605632 14309075796323 14547125248768 15136873569664 15281944519424 15716090670544 16353229481512 16548404009984 17018529123904 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121094988557312 125728725364352 130825835852096 136148232991232 140016080519392 149515240973824 151267372703986 160018377736448 166505609266304 172876997375984 187203820362944 190292124875776 192522110714164 198006670478848 203659753482752 213947223271936 220025269387616 228945212741168 251457450728704 261651671704192 272296465982464 280032161038784 299030481947648 302534745407972 320036755472896 333011218532608 345753994751968 374407640725888 385044221428328 396013340957696 407319506965504 427894446543872 440050538775232 457890425482336 502914901457408 523303343408384 529435804463951 560064322077568 605069490815944 640073510945792 666022437065216 691507989503936 748815281451776 770088442856656 880101077550464 915780850964672 1005829802914816 1046606686816768 1058871608927902 1120128644155136 1210138981631888 1332044874130432 1383015979007872 1497630562903552 1540176885713312 1760202155100928 1831561701929344 2093213373633536 2117743217855804 2240257288310272 2420277963263776 2766031958015744 2995261125807104 3080353771426624 3520404310201856 3663123403858688 4235486435711608 4480514576620544 4840555926527552 5532063916031488 6160707542853248 7040808620403712 7326246807717376 8470972871423216 9681111853055104 11064127832062976 12321415085706496 14652493615434752 16941945742846432 19362223706110208 24642830171412992 33883891485692864 38724447412220416 49285660342825984 67767782971385728 77448894824440832 135535565942771456 271071131885542912 542142263771085824
- Sum of all divisors σ(n): 1433077463817181728
- Sum of proper divisors (its aliquot sum) s(n): 890935200046095904
- 542142263771085824 is an abundant number, because the sum of its proper divisors (890935200046095904) is greater than itself. Its abundance is 348792936275010080
Bases of 542142263771085824
- Binary: 111100001100001001110000100001110011100110100111100000000002
- Hexadecimal: 0x786138439CD3C00
- Base-36: 44A5E5PIV0U8
Squares and roots of 542142263771085824
- 542142263771085824 squared (5421422637710858242) is 293918234166837596775732771973758976
- 542142263771085824 cubed (5421422637710858243) is 159345496834809438050638190265112315546392734386356224
-
The
square root of 542142263771085824 is 736303105.9088952559 -
The
cube root of 542142263771085824 is 815400.7156739715
Scales and comparisons
How big is 542142263771085824?- 542,142,263,771,085,824 seconds is equal to 17,238,447,031 years, 41 weeks, 1 day, 18 hours, 3 minutes, 44 seconds.
-
To count from 1 to 542,142,263,771,085,824 would take you about fifty-one billion, seven hundred fifteen million, three hundred forty-one thousand and ninety-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 542142263771085824 cubic inches would be around 67950.1 feet tall.
Recreational maths with 542142263771085824
- 542142263771085824 backwards is 428580177362241245
- The number of decimal digits it has is: 18
- The sum of 542142263771085824's digits is 71
- More coming soon!
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"Number 542142263771085824 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 542142263771085824 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/542142263771085824/
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Numbermatics. 2024. "Number 542142263771085824 - Facts about the integer". https://numbermatics.com/n/542142263771085824/
The information we have on file for 542142263771085824 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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