42014516249664
42,014,516,249,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 42014516249664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
42014516249664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 42014516249664:
26 × 33 × 72 × 433 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 43 × 43 × 43 × 79 × 79)See below for interesting mathematical facts about the number 42014516249664 from the Numbermatics database.
Names of 42014516249664
- Cardinal: 42014516249664 can be written as Forty-two trillion, fourteen billion, five hundred sixteen million, two hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.2014516249664 × 1013
Factors of 42014516249664
Divisors of 42014516249664
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 43 48 49 54 56 63 64 72 79 84 86 96 98 108 112 126 129 144 147 158 168 172 189 192 196 216 224 237 252 258 288 294 301 316 336 344 378 387 392 432 441 448 474 504 516 553 576 588 602 632 672 688 711 756 774 784 864 882 903 948 1008 1032 1106 1161 1176 1204 1264 1323 1344 1376 1422 1512 1548 1568 1659 1728 1764 1806 1849 1896 2016 2064 2107 2133 2212 2322 2352 2408 2528 2646 2709 2752 2844 3024 3096 3136 3318 3397 3528 3612 3698 3792 3871 4032 4128 4214 4266 4424 4644 4704 4816 4977 5056 5292 5418 5547 5688 6048 6192 6241 6321 6636 6794 7056 7224 7396 7584 7742 8127 8256 8428 8532 8848 9288 9408 9632 9954 10191 10584 10836 11094 11376 11613 12096 12384 12482 12642 12943 13272 13588 14112 14448 14792 14931 15168 15484 16254 16641 16856 17064 17696 18576 18723 18963 19264 19908 20382 21168 21672 22188 22752 23226 23779 24768 24964 25284 25886 26544 27176 28224 28896 29584 29862 30573 30968 32508 33282 33712 34128 34839 35392 37152 37446 37926 38829 39816 40764 42336 43344 43687 44376 45504 46452 47558 49923 49928 50568 51772 53088 54352 56169 56889 57792 59168 59724 61146 61936 65016 66564 67424 68256 69678 71337 74304 74892 75852 77658 79507 79632 81528 84672 86688 87374 88752 90601 91719 92904 95116 99846 99856 101136 103544 104517 106176 108704 112338 113778 116487 118336 119448 122292 123872 130032 131061 133128 134848 136512 139356 142674 146071 149784 151704 155316 159014 159264 163056 166453 168507 173376 174748 177504 181202 183438 185808 190232 199692 199712 202272 207088 209034 214011 217408 224676 227556 232974 238521 238896 244584 247744 260064 262122 266256 268363 271803 278712 285348 292142 299568 303408 305809 310632 318028 318528 326112 332906 337014 349461 349496 355008 362404 366876 371616 380464 393183 399384 399424 404544 414176 418068 428022 438213 449352 455112 465948 477042 477792 489168 499359 520128 524244 532512 536726 543606 556549 557424 570696 584284 599136 606816 611618 621264 636056 642033 652224 665812 674028 698922 698992 715563 724808 733752 743232 760928 786366 798768 805089 815409 828352 836136 856044 876426 898704 910224 917427 931896 954084 955584 978336 998718 1022497 1048488 1065024 1073452 1087212 1113098 1114848 1141392 1168568 1179549 1198272 1213632 1223236 1242528 1272112 1284066 1314639 1331624 1348056 1397844 1397984 1431126 1449616 1467504 1498077 1521856 1572732 1597536 1610178 1630818 1669647 1672272 1712088 1752852 1797408 1820448 1834854 1863792 1878541 1908168 1956672 1997436 2044994 2096976 2146689 2146904 2174424 2226196 2229696 2282784 2337136 2359098 2415267 2446227 2446472 2485056 2544224 2568132 2629278 2663248 2696112 2752281 2795688 2795968 2862252 2899232 2935008 2996154 3067491 3145464 3195072 3220356 3261636 3339294 3344544 3424176 3505704 3594816 3640896 3669708 3727584 3757082 3816336 3895843 3943917 3994872 4089988 4193952 4293378 4293808 4348848 4452392 4494231 4565568 4674272 4718196 4830534 4892454 4892944 5008941 5088448 5136264 5258556 5326496 5392224 5504562 5591376 5635623 5724504 5798464 5870016 5992308 6134982 6281053 6290928 6440712 6523272 6678588 6689088 6848352 7011408 7157479 7245801 7339416 7455168 7514164 7632672 7791686 7887834 7989744 8179976 8256843 8387904 8586756 8587616 8697696 8904784 8988462 9202473 9348544 9436392 9661068 9784908 9785888 10017882 10272528 10517112 10652992 10784448 11009124 11182752 11271246 11449008 11539609 11687529 11984616 12269964 12562106 12581856 12881424 13046544 13149787 13357176 13696704 14022816 14314958 14491602 14678832 15026823 15028328 15265344 15583372 15775668 15979488 16359952 16513686 16906869 17173512 17175232 17395392 17809568 17976924 18404946 18843159 18872784 19322136 19569816 19571776 20035764 20545056 21034224 21472437 22018248 22365504 22542492 22898016 23079218 23375058 23969232 24539928 25124212 25163712 25762848 26093088 26299574 26714352 27607419 28045632 28629916 28983204 29357664 30053646 30056656 31166744 31551336 31958976 32719904 33027372 33813738 34347024 34618827 35062587 35619136 35953848 36809892 37686318 37745568 38644272 39139632 39449361 40071528 41090112 42068448 42944874 43967371 44036496 45084984 45796032 46158436 46750116 47938464 49079856 50248424 50720607 51525696 52186176 52599148 53428704 55214838 56529477 57259832 57966408 58715328 60107292 60113312 62333488 63102672 64417311 65439808 66054744 67627476 68694048 69237654 70125174 71907696 73619784 75372636 75491136 77288544 78279264 78898722 80143056 80777263 84136896 85889748 87934742 88072992 90169968 92316872 93500232 95876928 98159712 100496848 101441214 103856481 105187761 105198296 106857408 110429676 113058954 114519664 115932816 118348083 120214584 120226624 124666976 126205344 128834622 131902113 132109488 135254952 137388096 138475308 140250348 143815392 147239568 150745272 154577088 156558528 157797444 160286112 161554526 169588431 171779496 175869484 176145984 180339936 184633744 187000464 193251933 196319424 200993696 202882428 207712962 210375522 210396592 220859352 226117908 229039328 231865632 236696166 240429168 242331789 249333952 252410688 257669244 263804226 264218976 270509904 276950616 280500696 287630784 294479136 301490544 307771597 311569443 315594888 320572224 323109052 339176862 343558992 351738968 355044249 360679872 369267488 374000928 386503866 395706339 401987392 405764856 415425924 420751044 420793184 441718704 452235816 458078656 463731264 473392332 480858336 484663578 496203187 515338488 527608452 528437952 541019808 553901232 561001392 565440841 588958272 602981088 615543194 623138886 631189776 646218104 678353724 687117984 703477936 710088498 726995367 738534976 748001856 773007732 791412678 811529712 830851848 841502088 841586368 883437408 904471632 923314791 946784664 961716672 969327156 992406374 1030676976 1055216904 1082039616 1107802464 1122002784 1130881682 1187119017 1205962176 1231086388 1246277772 1262379552 1292436208 1356707448 1374235968 1406955872 1420176996 1453990734 1488609561 1546015464 1582825356 1623059424 1661703696 1683004176 1696322523 1766874816 1808943264 1846629582 1893569328 1938654312 1984812748 2061353952 2110433808 2180986101 2215604928 2244005568 2261763364 2374238034 2462172776 2492555544 2524759104 2584872416 2713414896 2769944373 2813911744 2840353992 2907981468 2977219122 3092030928 3165650712 3246118848 3323407392 3366008352 3392645046 3473422309 3617886528 3693259164 3787138656 3877308624 3969625496 4122707904 4220867616 4361972202 4465828683 4523526728 4748476068 4924345552 4985111088 5088967569 5169744832 5426829792 5539888746 5680707984 5815962936 5954438244 6184061856 6331301424 6646814784 6732016704 6785290092 6946844618 7386518328 7574277312 7754617248 7939250992 8309833119 8441735232 8723944404 8931657366 9047053456 9496952136 9848691104 9970222176 10177935138 10420266927 10853659584 11079777492 11361415968 11631925872 11908876488 12368123712 12662602848 13397486049 13570580184 13893689236 14773036656 15266902707 15509234496 15878501984 16619666238 17447888808 17863314732 18094106912 18993904272 19697382208 19940444352 20355870276 20840533854 22159554984 22722831936 23263851744 23817752976 24313956163 25325205696 26794972098 27141160368 27787378472 29546073312 30533805414 31260800781 31757003968 33239332476 34895777616 35726629464 36188213824 37987808544 40711740552 41681067708 44319109968 46527703488 47635505952 48627912326 53589944196 54282320736 55574756944 59092146624 61067610828 62521601562 66478664952 69791555232 71453258928 72941868489 75975617088 81423481104 83362135416 88638219936 93782402343 95271011904 97255824652 107179888392 108564641472 111149513888 122135221656 125043203124 132957329904 139583110464 142906517856 145883736978 162846962208 166724270832 177276439872 187564804686 194511649304 214359776784 218825605467 222299027776 244270443312 250086406248 265914659808 285813035712 291767473956 325693924416 333448541664 375129609372 389023298608 428719553568 437651210934 488540886624 500172812496 531829319616 583534947912 656476816401 666897083328 750259218744 778046597216 857439107136 875302421868 977081773248 1000345624992 1167069895824 1312953632802 1500518437488 1556093194432 1750604843736 2000691249984 2334139791648 2625907265604 3001036874976 3501209687472 4668279583296 5251814531208 6002073749952 7002419374944 10503629062416 14004838749888 21007258124832 42014516249664
- Sum of all divisors σ(n): 148987133064000
- Sum of proper divisors (its aliquot sum) s(n): 106972616814336
- 42014516249664 is an abundant number, because the sum of its proper divisors (106972616814336) is greater than itself. Its abundance is 64958100564672
Bases of 42014516249664
- Binary: 10011000110110010001000101000100000100010000002
- Hexadecimal: 0x263644510440
- Base-36: EW57A6XC0
Squares and roots of 42014516249664
- 42014516249664 squared (420145162496642) is 1765219575693280307580112896
- 42014516249664 cubed (420145162496643) is 74164846547190316721196709262479642066944
-
The
square root of 42014516249664 is 6481860.5546296659 -
The
cube root of 42014516249664 is 34764.2706598527
Scales and comparisons
How big is 42014516249664?- 42,014,516,249,664 seconds is equal to 1,335,931 years, 34 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
-
To count from 1 to 42,014,516,249,664 would take you about three million, three hundred thirty-nine thousand, eight hundred twenty-nine 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 42014516249664 cubic inches would be around 2897 feet tall.
Recreational maths with 42014516249664
- 42014516249664 backwards is 46694261541024
- 42014516249664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42014516249664's digits is 54
- More coming soon!
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The information we have on file for 42014516249664 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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