13874077468302264
13,874,077,468,302,264 is an even composite number composed of six prime numbers multiplied together.
13874077468302264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13874077468302264:
23 × 33 × 192 × 293 × 372 × 732
(2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 29 × 29 × 29 × 37 × 37 × 73 × 73)See below for interesting mathematical facts about the number 13874077468302264 from the Numbermatics database.
Names of 13874077468302264
- Cardinal: 13874077468302264 can be written as Thirteen quadrillion, eight hundred seventy-four trillion, seventy-seven billion, four hundred sixty-eight million, three hundred two thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.3874077468302264 × 1016
Factors of 13874077468302264
Divisors of 13874077468302264
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 19 24 27 29 36 37 38 54 57 58 72 73 74 76 87 108 111 114 116 146 148 152 171 174 216 219 222 228 232 261 292 296 333 342 348 361 438 444 456 513 522 551 584 657 666 684 696 703 722 783 841 876 888 999 1026 1044 1073 1083 1102 1314 1332 1368 1369 1387 1406 1444 1566 1653 1682 1752 1971 1998 2052 2088 2109 2117 2146 2166 2204 2523 2628 2664 2701 2738 2774 2812 2888 3132 3219 3249 3306 3364 3942 3996 4104 4107 4161 4218 4234 4292 4332 4408 4959 5046 5256 5329 5402 5476 5548 5624 6264 6327 6351 6438 6498 6612 6728 7569 7884 7992 8103 8214 8322 8436 8468 8584 8664 9657 9747 9918 10092 10469 10658 10804 10952 11096 12321 12483 12654 12702 12876 12996 13224 13357 14877 15138 15768 15979 15987 16206 16428 16644 16872 16936 18981 19053 19314 19494 19836 20184 20387 20938 21316 21608 22707 24309 24389 24642 24966 25308 25404 25752 25992 26011 26353 26714 28971 29754 30276 31117 31407 31958 31974 32412 32856 33288 36963 37449 37962 38106 38628 38988 39672 39701 40071 40223 40774 41876 42632 45414 47937 47961 48618 48778 49284 49932 50616 50808 51319 52022 52706 53428 57159 57942 59508 60552 61161 61393 62234 62814 63916 63948 64824 72927 73167 73926 74898 75924 76212 77256 77976 78033 78329 79059 79402 80142 80446 81548 83752 90828 93351 94221 95874 95922 97236 97556 98568 99864 99937 101251 102638 104044 105412 106856 114318 115884 119016 119103 120213 120669 122322 122786 124468 125628 127832 127896 143811 143883 145854 146334 147852 149796 151848 152424 153957 154541 156066 156658 158118 158804 160284 160892 163096 181656 183483 184179 186702 188442 191748 191844 194472 195112 197173 199874 202502 205276 208088 210824 219501 228636 231768 234099 234987 237177 238206 240426 241338 244644 245572 248936 251256 280053 282663 287622 287766 291708 292668 295704 299592 299811 303601 303753 307914 309082 312132 313316 316236 317608 320568 321784 357309 360639 362007 366966 368358 373404 376884 383496 383688 387353 394346 399748 405004 410552 431433 439002 457272 461871 463391 463623 468198 469974 474354 476412 480852 482676 489288 491144 494209 550449 552537 560106 565326 575244 575532 583416 585336 591223 591519 599622 607202 607506 615828 618164 624264 626632 632472 658503 702297 704961 711531 714618 721278 724014 733932 736716 746808 753768 754319 764237 774706 788692 799496 810008 840159 862866 878004 899433 902393 910803 911259 923742 926782 927246 936396 939948 948708 952824 961704 965352 975061 988418 1071927 1086021 1100898 1105074 1120212 1130652 1150488 1151064 1151329 1162059 1166467 1182446 1183038 1199244 1214404 1215012 1231656 1236328 1317006 1385613 1390173 1390869 1404594 1409922 1423062 1429236 1442556 1448028 1467864 1473432 1482627 1488251 1508638 1528474 1549412 1577384 1657611 1680318 1725732 1756008 1773669 1774557 1780397 1798866 1804786 1821606 1822518 1847484 1853564 1854492 1872792 1879896 1897416 1898803 1923769 1950122 1976836 2114883 2143854 2172042 2201796 2210148 2240424 2261304 2262957 2271541 2292711 2302658 2324118 2332934 2364892 2366076 2398488 2428808 2430024 2634012 2698299 2707179 2732409 2733777 2771226 2780346 2781738 2809188 2819844 2846124 2858472 2885112 2896056 2898173 2925183 2936279 2965254 2976502 3017276 3056948 3098824 3315222 3360636 3451464 3453987 3486177 3499401 3547338 3549114 3560794 3597732 3609572 3643212 3645036 3694968 3707128 3708984 3746287 3797606 3847538 3900244 3953672 4170519 4172607 4229766 4287708 4344084 4403592 4420296 4447881 4464753 4481689 4525914 4543082 4585422 4605316 4648236 4665868 4729784 4732152 5268024 5321007 5323671 5341191 5396598 5414358 5464818 5467554 5542452 5560692 5563476 5618376 5639688 5692248 5696409 5718017 5771307 5796346 5850366 5872558 5930508 5953004 6034552 6113896 6630444 6721272 6788871 6814623 6878133 6907974 6972354 6998802 7094676 7098228 7121588 7195464 7219144 7286424 7290072 7295401 7492574 7595212 7695076 7800488 8121537 8197227 8341038 8345214 8459532 8575416 8688168 8694519 8775549 8804429 8808837 8895762 8929506 8963378 9051828 9086164 9170844 9210632 9296472 9331736 10361961 10458531 10498203 10642014 10647342 10682382 10793196 10828716 10929636 10935108 11084904 11121384 11126952 11233237 11238861 11392818 11436034 11542614 11592692 11700732 11745116 11861016 11906008 12511557 13260888 13343643 13394259 13445067 13577742 13629246 13756266 13815948 13944708 13997604 14189352 14196456 14243176 14332061 14590802 14985148 15190424 15390152 15963021 16023573 16243074 16394454 16682076 16690428 16919064 17089227 17145467 17154051 17313921 17389038 17551098 17608858 17617674 17791524 17859012 17926756 18103656 18172328 18341688 20366613 20443869 20634399 20723922 20917062 20996406 21284028 21294684 21364764 21586392 21657432 21859272 21870216 21875251 21886203 22162873 22466474 22477722 22785636 22872068 23085228 23185384 23401464 23490232 24364611 25023114 26083557 26326647 26413287 26426511 26687286 26788518 26890134 27155484 27258492 27512532 27631896 27889416 27995208 28276769 28664122 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43872542874 44281420254 44449391502 44888015052 45058287276 45675524088 45698391864 46276078824 46309906367 46918802141 47405515698 47561525458 48213053204 48237191412 49083457928 49540899288 55218890169 55733511699 56496984462 56711292606 57488159628 57706227564 58244030244 58496723832 59041893672 59265855336 59861919973 60681946274 63207354264 65808814311 66674087253 67587430914 68513286132 69414118236 70364996568 71108273547 71342288187 72319579806 72355787118 73625186892 74311348932 75329312616 75615056808 76375553069 85066938909 86232239442 86559341346 87366045366 87745085748 88562840508 88898783004 89776030104 90116574552 91022919411 91368193643 92619812734 93837604282 94811031396 95123050916 96426106408 96474382824 108479369709 108533680677 110437780338 111467023398 112993968924 113422585212 114976319256 115412455128 116488060488 116573212579 119723839946 121363892548 129839012019 131617628622 133348174506 135174861828 137026572264 138828236472 138929719101 140756406423 142216547094 142684576374 144639159612 144711574236 147250373784 148622697864 152751106138 165656670507 170133877818 172464478884 173118682692 174732090732 175490171496 177125681016 177797566008 177927534989 179585759919 182045838822 182736387286 185239625468 187675208564 189622062792 190246101832 214026864561 216958739418 217067361354 220875560676 222934046796 225987937848 226845170424 229126659207 233146425158 239447679892 242727785096 259678024038 263235257244 266696349012 270349723656 273068758233 274104580929 277859438202 281512812846 284433094188 285369152748 289278319224 289423148472 305502212276 325438109127 331313341014 340267755636 344928957768 346237365384 349464181464 349719637737 355855069978 359171519838 364091677644 365472774572 370479250936 375350417128 416789157303 422269219269 428053729122 433917478836 434134722708 441751121352 445868093592 458253318414 466292850316 478895359784 519356048076 526470514488 533392698024 533782604967 538757279757 546137516466 548209161858 555718876404 563025625692 568866188376 570738305496 611004424552 642080593683 650876218254 662626682028 680535511272 687379977621 699439275474 711710139956 718343039676 728183355288 730945549144 819206274699 822313742787 833578314606 844538438538 856107458244 867834957672 868269445416 879888220973 916506636828 932585700632 1038712096152 1049158913211 1067565209934 1077514559514 1092275032932 1096418323716 1111437752808 1126051251384 1250367471909 1266807657807 1284161187366 1301752436508 1325253364056 1374759955242 1398878550948 1423420279912 1436686079352 1601347814901 1616271839271 1638412549398 1644627485574 1667156629212 1689076877076 1712214916488 1735995679217 1759776441946 1833013273656 2062139932863 2098317826422 2135130419868 2155029119028 2184550065864 2192836647432 2214891039001 2466941228361 2500734943818 2533615315614 2568322374732 2603504873016 2639664662919 2749519910484 2797757101896 3147476739633 3202695629802 3232543678542 3276825098796 3289254971148 3334313258424 3378153754152 3380623164791 3471991358434 3519552883892 4124279865726 4196635652844 4270260839736 4310058238056 4429782078002 4804043444703 4933882456722 5001469887636 5067230631228 5136644749464 5207987037651 5279329325838 5499039820968 6294953479266 6405391259604 6465087357084 6553650197592 6578509942296 6644673117003 6761246329582 6943982716868 7039105767784 7918993988757 8248559731452 8393271305688 8859564156004 9608086889406 9867764913444 10002939775272 10134461262456 10141869494373 10415974075302 10558658651676 12589906958532 12810782519208 12930174714168 13289346234006 13522492659164 13887965433736 15623961112953 15837987977514 16497119462904 17719128312008 19216173778812 19735529826888 19934019351009 20283738988746 20831948150604 21117317303352 23756981966271 25179813917064 26578692468012 27044985318328 30425608483119 31247922225906 31675975955028 38432347557624 39868038702018 40567477977492 41663896301208 46871883338859 47513963932542 53157384936024 59802058053027 60851216966238 62495844451812 63351951910056 64231840131029 79736077404036 81134955954984 91276825449357 93743766677718 95027927865084 119604116106054 121702433932476 124991688903624 128463680262058 159472154808072 182553650898714 187487533355436 190055855730168 192695520393087 239208232212108 243404867864952 256927360524116 365107301797428 374975066710872 385391040786174 478416464424216 513854721048232 578086561179261 730214603594856 770782081572348 1156173122358522 1541564163144696 1734259683537783 2312346244717044 3468519367075566 4624692489434088 6937038734151132 13874077468302264
- Sum of all divisors σ(n): 43897383735156000
- Sum of proper divisors (its aliquot sum) s(n): 30023306266853736
- 13874077468302264 is an abundant number, because the sum of its proper divisors (30023306266853736) is greater than itself. Its abundance is 16149228798551472
Bases of 13874077468302264
- Binary: 1100010100101001100110011000110001010110011011101110002
- Hexadecimal: 0x314A6663159BB8
- Base-36: 3SLY776K8U0
Squares and roots of 13874077468302264
- 13874077468302264 squared (138740774683022642) is 192490025596452559327666467525696
- 13874077468302264 cubed (138740774683022643) is 2670621527000668519195796702510030361757914975744
-
The
square root of 13874077468302264 is 117788273.8998337813 -
The
cube root of 13874077468302264 is 240289.4509324369
Scales and comparisons
How big is 13874077468302264?- 13,874,077,468,302,264 seconds is equal to 441,152,748 years, 7 weeks, 6 days, 13 hours, 44 minutes, 24 seconds.
-
To count from 1 to 13,874,077,468,302,264 would take you about one billion, three hundred twenty-three million, four hundred fifty-eight thousand, two hundred forty-four 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 13874077468302264 cubic inches would be around 20024.1 feet tall.
Recreational maths with 13874077468302264
- 13874077468302264 backwards is 46220386477047831
- 13874077468302264 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13874077468302264's digits is 72
- More coming soon!
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MLA style:
"Number 13874077468302264 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13874077468302264 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13874077468302264/
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Numbermatics. 2024. "Number 13874077468302264 - Facts about the integer". https://numbermatics.com/n/13874077468302264/
The information we have on file for 13874077468302264 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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