42144793996536
42,144,793,996,536 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42144793996536 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
42144793996536 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42144793996536:
23 × 33 × 72 × 112 × 17 × 409 × 4733
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 17 × 409 × 4733)See below for interesting mathematical facts about the number 42144793996536 from the Numbermatics database.
Names of 42144793996536
- Cardinal: 42144793996536 can be written as Forty-two trillion, one hundred forty-four billion, seven hundred ninety-three million, nine hundred ninety-six thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 4.2144793996536 × 1013
Factors of 42144793996536
Divisors of 42144793996536
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 17 18 21 22 24 27 28 33 34 36 42 44 49 51 54 56 63 66 68 72 77 84 88 98 99 102 108 119 121 126 132 136 147 153 154 168 187 189 196 198 204 216 231 238 242 252 264 294 297 306 308 357 363 374 378 392 396 408 409 441 459 462 476 484 504 539 561 588 594 612 616 693 714 726 748 756 792 818 833 847 882 918 924 952 968 1071 1078 1089 1122 1176 1188 1224 1227 1309 1323 1386 1428 1452 1496 1512 1617 1636 1666 1683 1694 1764 1836 1848 2057 2079 2142 2156 2178 2244 2376 2454 2499 2541 2618 2646 2772 2856 2863 2904 3213 3234 3267 3272 3332 3366 3388 3528 3672 3681 3927 4114 4158 4284 4312 4356 4488 4499 4733 4851 4908 4998 5049 5082 5236 5292 5544 5726 5929 6171 6426 6468 6534 6664 6732 6776 6953 7362 7497 7623 7854 8228 8316 8568 8589 8712 8998 9163 9466 9702 9816 9996 10098 10164 10472 10584 11043 11452 11781 11858 12342 12852 12936 13068 13464 13497 13906 14199 14399 14553 14724 14994 15246 15708 16456 16632 17178 17787 17996 18326 18513 18932 19404 19992 20041 20196 20328 20859 22086 22491 22869 22904 23562 23716 24684 25704 25767 26136 26994 27489 27812 28398 28798 29106 29448 29988 30492 31416 31493 33131 34356 35343 35574 35992 36652 37026 37864 38808 40082 40392 40491 41718 42597 43197 44172 44982 45738 47124 47432 48671 49368 49489 51534 52063 53361 53988 54978 55539 55624 56796 57596 58212 59976 60123 60984 62577 62986 66262 68712 70686 71148 73304 74052 76483 77301 80164 80461 80982 82467 83436 85194 86394 88344 89964 91476 94248 94479 97342 98978 99393 100793 103068 104126 106722 107976 109956 111078 113592 115192 116424 120246 121473 125154 125972 127791 129591 132524 141372 142296 146013 148104 148467 152966 154602 156189 160083 160328 160922 161964 164934 166872 170388 172788 179928 180369 182952 187731 188958 194684 197956 198786 201586 206136 208252 213444 219912 220451 222156 229449 231917 240492 241383 242946 247401 250308 251944 255582 259182 265048 282744 283437 292026 296934 298179 302379 305932 309204 312378 320166 321844 323928 329868 340697 340776 345576 346423 360738 364441 375462 377916 388773 389368 395912 397572 403172 416504 426888 438039 440902 444312 445401 458898 463834 468567 480984 482766 485892 494802 500616 511164 518364 535381 541107 563227 566874 572693 584052 593868 596358 604758 611864 618408 624756 640332 643688 659736 661353 681394 688347 692846 695751 721476 724149 728882 750924 755832 777546 795144 806344 841313 850311 876078 881804 885071 890802 894537 907137 917796 927668 937134 965532 971784 989604 1022091 1022328 1036728 1039269 1070762 1082214 1093323 1126454 1133748 1145386 1168104 1187736 1192716 1209516 1249512 1280664 1314117 1322706 1336203 1362788 1376694 1385692 1391502 1405701 1442952 1448298 1457764 1501848 1555092 1606143 1682626 1689681 1700622 1718079 1752156 1763608 1770142 1781604 1789074 1814274 1835592 1855336 1874268 1931064 1935797 1979208 1984059 2044182 2065041 2078538 2087253 2141524 2164428 2172447 2186646 2252908 2267496 2290772 2385432 2419032 2424961 2523939 2551087 2628234 2645412 2655213 2672406 2721411 2725576 2753388 2771384 2783004 2811402 2896596 2915528 3066273 3110184 3117807 3212286 3279969 3365252 3379362 3401244 3436158 3504312 3540284 3563208 3578148 3628548 3747667 3748536 3871594 3942589 3968118 4008851 4088364 4130082 4157076 4174506 4283048 4328856 4344894 4373292 4505816 4581544 4818429 4849922 5047878 5069043 5102174 5154237 5256468 5290824 5310426 5344812 5442822 5506776 5566008 5622804 5793192 5807391 5889191 5952177 6132546 6195497 6235614 6261759 6424572 6559938 6730504 6758724 6802488 6872316 7080568 7156296 7257096 7274883 7495334 7571817 7653261 7743188 7885178 7936236 7965639 8017702 8176728 8260164 8314152 8349012 8689788 8746584 9198819 9353421 9636858 9699844 9735781 9839907 10095756 10138086 10204348 10308474 10512936 10620852 10689624 10885644 11243001 11245608 11614782 11778382 11827767 11904354 12026553 12265092 12390994 12471228 12523518 12849144 13119876 13517448 13550579 13744632 14455287 14549766 14990668 15143634 15207129 15306522 15462711 15486376 15770356 15872472 15931278 16035404 16520328 16698024 17379576 17422173 17667573 18397638 18586491 18706842 19273716 19399688 19471562 19679814 20191512 20276172 20408696 20616948 21241704 21293767 21771288 21824649 22486002 22715451 22959783 23229564 23556764 23655534 23808708 23896917 24053106 24530184 24781988 24942456 25047036 26239752 27101158 28061957 28910574 29099532 29207343 29981336 30287268 30414258 30613044 30925422 31540712 31862556 32070808 32908549 33729003 34844346 35335146 35483301 36079659 36795276 37172982 37413684 38547432 38943124 39359628 40552344 40651737 41224337 41233896 42587534 43368479 43649298 44972004 45430902 45919566 46459128 47113528 47311068 47617416 47793834 48106212 49563976 50094072 52266519 53002719 54202316 55759473 56123914 57821148 58199064 58414686 60574536 60828516 61226088 61850844 63725112 63881301 65473947 65817098 67458006 68150467 68879349 69688692 70670292 70966602 72159318 73590552 74345964 74827368 77886248 78719256 81303474 82448674 84185871 85175068 86736958 87298596 87622029 89944008 90861804 91839132 94622136 94854053 95587668 96212424 98725647 101187009 104533038 106005438 106449903 108238977 108404632 111518946 112247828 115642296 116829372 121657032 121955211 123673011 123701688 127762602 130105437 130947894 131634196 134916012 136300934 137758698 139377384 141340584 141933204 144318636 148691928 149056369 159008157 162606948 164897348 167278419 168371742 170350136 173473916 174597192 175244058 181723608 183678264 189708106 191175336 191643903 197451294 202374018 204451401 209066076 212010876 212899806 216477954 223037892 224495656 230359843 233658744 234231437 243910422 247346022 252557613 255525204 260210874 261895788 262866087 263268392 269832024 272601868 275517396 283866408 284562159 288637272 296176941 298112738 318016314 325213896 329794696 334556838 336743484 346947832 350488116 361994039 365865633 371019033 379416212 383287806 390316311 394902588 404748036 408902802 418132152 424021752 425799612 432955908 446075784 447169107 460719686 468462874 477053269 487820844 494692044 505115226 511050408 520421748 523791576 525732174 545203736 551034792 569124318 574931709 592353882 596225476 613354203 636032628 669113676 673486968 691079529 700976232 702694311 723988078 731731266 742038066 757672839 758832424 766575612 780632622 789805176 809496072 817805604 851599224 853686477 865911816 888530823 894338214 921439372 936925748 954106538 975641688 989384088 1010230452 1040843496 1043394583 1051464348 1085982117 1113057099 1138248636 1149863418 1170948933 1184707764 1192450952 1226708406 1272065256 1338227352 1341507321 1382159058 1405388622 1431159807 1447976156 1463462532 1484076132 1515345678 1533151224 1561265244 1612518901 1635611208 1639620059 1707372954 1777061646 1788676428 1840062609 1842878744 1873851496 1908213076 2020460904 2073238587 2086789166 2102928696 2108082933 2171964234 2226114198 2276497272 2299726836 2341897866 2369415528 2453416812 2533958273 2561059431 2683014642 2764318116 2810777244 2862319614 2895952312 2926925064 2968152264 3030691356 3122530488 3130183749 3225037802 3257946351 3279240118 3414745908 3554123292 3577352856 3680125218 3816426152 3981934429 4024521963 4146477174 4173578332 4216165866 4293479421 4343928468 4452228396 4599453672 4683795732 4837556703 4906833624 4918860177 5067916546 5122118862 5366029284 5528636232 5621554488 5724639228 6061382712 6219715761 6260367498 6324248799 6450075604 6515892702 6558480236 6829491816 7108246584 7360250436 7601874819 7963868858 8049043926 8292954348 8347156664 8432331732 8586958842 8687856936 8904456792 9367591464 9390551247 9675113406 9773839053 9837720354 10135833092 10244237724 10732058568 11449278456 11477340413 11945803287 12439431522 12520734996 12648497598 12880438263 12900151208 13031785404 13116960472 14512670109 14720500872 14756580531 15203749638 15927737716 16098087852 16585908696 16864663464 17173917684 17737707911 18781102494 19350226812 19547678106 19675440708 20271666184 20488475448 22805624457 22954680826 23891606574 24878863044 25041469992 25296995196 25760876526 26063570808 27873541003 28171653741 29025340218 29513161062 30407499276 31855475432 32196175704 34347835368 34432021239 35475415822 35837409861 37562204988 38700453624 39095356212 39350881416 43538010327 44269741593 45611248914 45909361652 47783213148 49757726088 50593990392 51521753052 53213123733 55747082006 56343307482 58050680436 59026322124 60814998552 68416873371 68864042478 70950831644 71674819722 75124409976 78190712424 83620623009 87076020654 88539483186 91222497828 91818723304 95566426296 103043506104 103296063717 106426247466 107512229583 111494164012 112686614964 116101360872 118052644248 136833746742 137728084956 141901663288 143349639444 159639371199 167241246018 174152041308 177078966372 182444995656 195114787021 206592127434 212852494932 215024459166 222988328024 225373229928 250861869027 273667493484 275456169912 286699278888 309888191151 319278742398 334482492036 348304082616 354157932744 390229574042 413184254868 425704989864 430048918332 478918113597 501723738054 547334986968 585344361063 619776382302 638557484796 668964984072 752585607081 780459148084 826368509736 860097836664 957836227194 1003447476108 1170688722126 1239552764604 1277114969592 1505171214162 1560918296168 1756033083189 1915672454388 2006894952216 2341377444252 2479105529208 3010342428324 3512066166378 3831344908776 4682754888504 5268099249567 6020684856648 7024132332756 10536198499134 14048264665512 21072396998268 42144793996536
- Sum of all divisors σ(n): 158914074312000
- Sum of proper divisors (its aliquot sum) s(n): 116769280315464
- 42144793996536 is an abundant number, because the sum of its proper divisors (116769280315464) is greater than itself. Its abundance is 74624486318928
Bases of 42144793996536
- Binary: 10011001010100100110010111100110101100111110002
- Hexadecimal: 0x26549979ACF8
- Base-36: EXT1U7660
Squares and roots of 42144793996536
- 42144793996536 squared (421447939965362) is 1776183661010456867179999296
- 42144793996536 cubed (421447939965363) is 74856894493298836311446208662153506438656
-
The
square root of 42144793996536 is 6491902.1863037955 -
The
cube root of 42144793996536 is 34800.1656960601
Scales and comparisons
How big is 42144793996536?- 42,144,793,996,536 seconds is equal to 1,340,074 years, 4 weeks, 3 days, 13 hours, 15 minutes, 36 seconds.
-
To count from 1 to 42,144,793,996,536 would take you about three million, three hundred fifty thousand, one hundred eighty-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 42144793996536 cubic inches would be around 2900 feet tall.
Recreational maths with 42144793996536
- 42144793996536 backwards is 63569939744124
- 42144793996536 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42144793996536's digits is 72
- More coming soon!
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The information we have on file for 42144793996536 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!
Keywords: Divisors of 42144793996536, math, Factors of 42144793996536, curriculum, school, college, exams, university, Prime factorization of 42144793996536, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred forty-four billion, seven hundred ninety-three million, nine hundred ninety-six thousand, five hundred thirty-six.