135242435328
135,242,435,328 is an even composite number composed of eight prime numbers multiplied together.
135242435328 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135242435328:
28 × 3 × 7 × 11 × 13 × 19 × 47 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 19 × 47 × 197)See below for interesting mathematical facts about the number 135242435328 from the Numbermatics database.
Names of 135242435328
- Cardinal: 135242435328 can be written as One hundred thirty-five billion, two hundred forty-two million, four hundred thirty-five thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.35242435328 × 1011
Factors of 135242435328
Divisors of 135242435328
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 19 21 22 24 26 28 32 33 38 39 42 44 47 48 52 56 57 64 66 76 77 78 84 88 91 94 96 104 112 114 128 132 133 141 143 152 154 156 168 176 182 188 192 197 208 209 224 228 231 247 256 264 266 273 282 286 304 308 312 329 336 352 364 376 384 394 399 416 418 429 448 456 462 494 517 528 532 546 564 572 591 608 611 616 624 627 658 672 704 728 741 752 768 788 798 832 836 858 893 896 912 924 987 988 1001 1034 1056 1064 1092 1128 1144 1182 1216 1222 1232 1248 1254 1316 1344 1379 1408 1456 1463 1482 1504 1551 1576 1596 1664 1672 1716 1729 1786 1792 1824 1833 1848 1974 1976 2002 2068 2112 2128 2167 2184 2256 2288 2364 2432 2444 2464 2496 2508 2561 2632 2679 2688 2717 2758 2816 2912 2926 2964 3003 3008 3102 3152 3192 3328 3344 3432 3458 3572 3619 3648 3666 3696 3743 3948 3952 4004 4136 4137 4224 4256 4277 4334 4368 4389 4512 4576 4728 4864 4888 4928 4992 5016 5122 5187 5264 5358 5376 5434 5516 5824 5852 5928 6006 6016 6204 6251 6304 6384 6501 6688 6721 6864 6916 7144 7238 7296 7332 7392 7486 7683 7896 7904 8008 8151 8272 8274 8448 8512 8554 8668 8736 8778 9024 9152 9259 9456 9776 9823 9856 9984 10032 10244 10374 10528 10716 10857 10868 11032 11229 11609 11648 11704 11856 12012 12032 12408 12502 12608 12768 12831 13002 13376 13442 13728 13832 14288 14476 14592 14664 14784 14972 15169 15366 15792 15808 16016 16302 16544 16548 17024 17108 17336 17472 17556 17927 18048 18304 18518 18753 18912 19019 19552 19646 19712 20064 20163 20488 20748 21056 21432 21714 21736 22064 22458 23218 23296 23408 23712 24024 24816 25004 25216 25536 25662 26004 26201 26752 26884 27456 27664 27777 28171 28576 28952 29328 29469 29568 29944 30338 30732 31584 31616 32032 32604 33088 33096 34048 34216 34672 34827 34944 35112 35854 36096 36608 37036 37506 37824 38038 39104 39292 40128 40326 40976 41173 41496 42112 42864 43428 43472 44128 44916 45507 46436 46816 47047 47424 48048 48659 49632 50008 50432 51072 51324 52008 52402 53504 53768 53781 54912 55328 55554 56342 57057 57152 57904 58656 58938 59136 59888 60676 61464 63168 63232 64064 64813 65208 66176 66192 68432 68761 69344 69654 69888 70224 71708 74072 75012 75648 76076 78208 78584 78603 80256 80652 81263 81952 82346 82992 84224 84513 85728 86856 86944 88256 89832 91014 92872 93632 94094 94848 96096 97318 99264 100016 101849 102144 102648 104016 104804 107536 107562 109824 110656 111108 112684 114114 114304 115808 117312 117876 119776 120367 121352 122928 123519 126336 127699 128128 129626 130416 132352 132384 136864 137522 138688 139308 140448 141141 143416 145977 148144 150024 151296 152152 156416 157168 157206 160512 161304 162526 163904 164692 165984 169026 171456 173712 173888 175921 176512 179664 182028 185744 187264 188188 189696 192192 194439 194636 197197 198528 200032 203698 205296 206283 208032 209608 215072 215124 221312 222216 225368 228228 228608 231616 234624 235752 239552 240734 242704 243789 245856 247038 252672 255398 256256 259252 260832 264768 273728 275044 277376 278616 280896 282282 286832 288211 291954 296288 300048 304304 305547 314336 314412 322608 325052 327808 329384 331968 338052 340613 342912 347424 347776 351842 353024 359328 361101 364056 371488 374528 376376 383097 384384 388878 389272 394394 397056 400064 407396 410592 412566 416064 419216 430144 430248 442624 444432 450736 456456 463232 469248 471504 479104 481468 485408 487578 491712 494076 510796 518504 521664 527763 529536 535249 547456 550088 554752 557232 561792 564564 573664 576422 583908 591591 592576 600096 608608 611094 628672 628824 645216 650104 655616 658768 663936 676104 681226 685824 694848 695552 703684 712943 718656 722202 728112 742976 752752 766194 768768 777756 778544 788788 800128 814792 821184 825132 832128 838432 842569 860288 860496 864633 888864 893893 901472 912912 926464 943008 958208 962936 970816 975156 983424 988152 1021592 1021839 1037008 1043328 1055526 1059072 1070498 1094912 1100176 1114464 1123584 1129128 1147328 1152844 1167816 1183182 1185152 1200192 1217216 1222188 1231447 1257344 1257648 1290432 1300208 1317536 1324037 1327872 1352208 1362452 1389696 1407368 1425886 1437312 1444404 1456224 1485952 1505504 1532388 1555512 1557088 1577576 1600256 1605747 1629584 1642368 1650264 1664256 1676864 1685138 1720576 1720992 1729266 1777728 1787786 1802944 1825824 1886016 1925872 1935131 1941632 1950312 1966848 1976304 2043184 2043678 2074016 2086656 2111052 2138829 2140996 2200352 2228928 2258256 2286973 2294656 2305688 2335632 2366364 2370304 2400384 2434432 2444376 2462894 2514688 2515296 2527707 2580864 2600416 2635072 2648074 2681679 2704416 2724904 2779392 2814736 2851772 2874624 2888808 2912448 2971904 3011008 3064776 3111024 3114176 3155152 3211494 3259168 3284736 3300528 3353728 3370276 3441984 3458532 3555456 3575572 3605888 3651648 3694341 3746743 3772032 3851744 3870262 3883264 3900624 3952608 3972111 4086368 4087356 4148032 4222104 4277658 4281992 4400704 4457856 4516512 4573946 4589312 4611376 4671264 4732728 4800768 4868864 4888752 4925788 5030592 5055414 5161728 5200832 5270144 5296148 5363358 5408832 5449808 5629472 5703544 5777616 5805393 5824896 6022016 6129552 6222048 6228352 6310304 6422988 6518336 6601056 6707456 6740552 6860919 6883968 6917064 7110912 7151144 7211776 7303296 7388682 7493486 7544064 7703488 7740524 7801248 7905216 7944222 8172736 8174712 8296064 8444208 8555316 8563984 8801408 8915712 9033024 9147892 9222752 9268259 9342528 9465456 9777504 9851576 10061184 10110828 10401664 10540288 10592296 10726716 10817664 10899616 11240229 11258944 11407088 11555232 11610786 11649792 12044032 12259104 12444096 12456704 12620608 12845976 13036672 13202112 13481104 13545917 13721838 13767936 13834128 14302288 14606592 14777364 14986972 15406976 15481048 15602496 15810432 15888444 16008811 16345472 16349424 16592128 16888416 17110632 17127968 17602816 18066048 18295784 18445504 18536518 18685056 18930912 19555008 19703152 20122368 20221656 20803328 21184592 21453432 21635328 21799232 22480458 22517888 22814176 23110464 23221572 24518208 24888192 25156703 25241216 25691952 26073344 26404224 26962208 27091834 27443676 27668256 27804777 28604576 29554728 29973944 30813952 30962096 31204992 31620864 31776888 32017622 32690944 32698848 33776832 34221264 34255936 36132096 36591568 36891008 37073036 37370112 37861824 39110016 39406304 40443312 40637751 42369184 42906864 43598464 44960916 45035776 45628352 46220928 46443144 48026433 49036416 49776384 50313406 50482432 51383904 52808448 53924416 54183668 54887352 55336512 55609554 57209152 59109456 59947888 61924192 62409984 63553776 64035244 65397696 67553664 68442528 68511872 73183136 73782016 74146072 75470109 75723648 78220032 78812608 80886624 81275502 84738368 85813728 87196928 89921832 91256704 92441856 92886288 96052866 98072832 100626812 102767808 107848832 108367336 109774704 110673024 111219108 114418304 118218912 119895776 123848384 127107552 128070488 130795392 135107328 136885056 137023744 146366272 148292144 150940218 151447296 157625216 161773248 162551004 169476736 171627456 176096921 179843664 182513408 185772576 192105732 201253624 205535616 215697664 216734672 219549408 221346048 222438216 228836608 236437824 239791552 247696768 254215104 256140976 261590784 273770112 292732544 296584288 301880436 315250432 323546496 325102008 338953472 343254912 352193842 359687328 371545152 384211464 402507248 411071232 433469344 439098816 444876432 472875648 479583104 495393536 508430208 512281952 528290763 547540224 585465088 593168576 603760872 647092992 650204016 686509824 704387684 719374656 743090304 768422928 805014496 866938688 878197632 889752864 945751296 959166208 1016860416 1024563904 1056581526 1186337152 1207521744 1300408032 1408775368 1438749312 1486180608 1536845856 1610028992 1733877376 1756395264 1779505728 2049127808 2113163052 2372674304 2415043488 2600816064 2817550736 2877498624 3073691712 3220057984 3467754752 3559011456 4098255616 4226326104 4830086976 5201632128 5635101472 6147383424 6440115968 7118022912 8452652208 9660173952 10403264256 11270202944 12294766848 16905304416 19320347904 22540405888 33810608832 45080811776 67621217664 135242435328
- Sum of all divisors σ(n): 522175610880
- Sum of proper divisors (its aliquot sum) s(n): 386933175552
- 135242435328 is an abundant number, because the sum of its proper divisors (386933175552) is greater than itself. Its abundance is 251690740224
Bases of 135242435328
- Binary: 11111011111010001001111001011000000002
- Hexadecimal: 0x1F7D13CB00
- Base-36: 1Q4NUQYO
Squares and roots of 135242435328
- 135242435328 squared (1352424353282) is 18290516313448262467584
- 135242435328 cubed (1352424353283) is 2473653969637255613446198816407552
-
The
square root of 135242435328 is 367753.2261286093 -
The
cube root of 135242435328 is 5132.9968079533
Scales and comparisons
How big is 135242435328?- 135,242,435,328 seconds is equal to 4,300 years, 15 weeks, 23 hours, 8 minutes, 48 seconds.
-
To count from 1 to 135,242,435,328 would take you about eight thousand, six hundred 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 135242435328 cubic inches would be around 427.7 feet tall.
Recreational maths with 135242435328
- 135242435328 backwards is 823534242531
- 135242435328 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135242435328's digits is 42
- More coming soon!
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"Number 135242435328 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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The information we have on file for 135242435328 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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