13874909809216000
13,874,909,809,216,000 is an even composite number composed of five prime numbers multiplied together.
13874909809216000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13874909809216000:
29 × 53 × 172 × 612 × 4492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 17 × 61 × 61 × 449 × 449)See below for interesting mathematical facts about the number 13874909809216000 from the Numbermatics database.
Names of 13874909809216000
- Cardinal: 13874909809216000 can be written as Thirteen quadrillion, eight hundred seventy-four trillion, nine hundred nine billion, eight hundred nine million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3874909809216 × 1016
Factors of 13874909809216000
Divisors of 13874909809216000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 61 64 68 80 85 100 122 125 128 136 160 170 200 244 250 256 272 289 305 320 340 400 425 449 488 500 512 544 578 610 640 680 800 850 898 976 1000 1037 1088 1156 1220 1280 1360 1445 1525 1600 1700 1796 1952 2000 2074 2125 2176 2245 2312 2440 2560 2720 2890 3050 3200 3400 3592 3721 3904 4000 4148 4250 4352 4490 4624 4880 5185 5440 5780 6100 6400 6800 7184 7225 7442 7625 7633 7808 8000 8296 8500 8704 8980 9248 9760 10370 10880 11225 11560 12200 12800 13600 14368 14450 14884 15250 15266 15616 16000 16592 17000 17629 17960 18496 18605 19520 20740 21760 22450 23120 24400 25925 27200 27389 28736 28900 29768 30500 30532 31232 32000 33184 34000 35258 35920 36125 36992 37210 38165 39040 41480 43520 44900 46240 48800 51850 54400 54778 56125 57472 57800 59536 61000 61064 63257 64000 66368 68000 70516 71840 72250 73984 74420 76330 78080 82960 88145 89800 92480 93025 97600 103700 108800 109556 112250 114944 115600 119072 122000 122128 126514 129625 129761 132736 136000 136945 141032 143680 144500 147968 148840 152660 156160 165920 176290 179600 184960 186050 190825 195200 201601 207400 217600 219112 224500 229888 231200 238144 244000 244256 253028 259250 259522 265472 272000 273890 282064 287360 289000 297680 305320 316285 331840 352580 359200 369920 372100 381650 390400 403202 414800 438224 440725 449000 462400 465125 465613 476288 488000 488512 506056 518500 519044 530944 544000 547780 564128 574720 578000 595360 610640 632570 648805 663680 684725 705160 718400 739840 744200 763300 780800 806404 829600 876448 881450 898000 924800 930250 931226 952576 954125 976000 977024 1008005 1012112 1037000 1038088 1075369 1088000 1095560 1128256 1149440 1156000 1190720 1221280 1265140 1297610 1327360 1369450 1410320 1436800 1488400 1526600 1581425 1612808 1659200 1670729 1752896 1762900 1796000 1849600 1860500 1862452 1905152 1908250 1952000 1954048 2016010 2024224 2074000 2076176 2150738 2191120 2203625 2256512 2312000 2328065 2381440 2442560 2530280 2595220 2654720 2738900 2820640 2873600 2976800 3053200 3162850 3225616 3244025 3318400 3341458 3423625 3427217 3505792 3525800 3592000 3699200 3721000 3724904 3816500 3904000 3908096 4032020 4048448 4148000 4152352 4301476 4382240 4407250 4513024 4624000 4656130 4762880 4885120 5040025 5060560 5190440 5376845 5477800 5641280 5747200 5953600 6106400 6325700 6451232 6488050 6636800 6682916 6847250 6854434 7011584 7051600 7184000 7442000 7449808 7633000 7907125 7915421 8064040 8096896 8296000 8304704 8353645 8602952 8764480 8814500 9026048 9248000 9312260 9525760 9770240 10080050 10121120 10380880 10753690 10955600 11282560 11640325 11907200 12212800 12297661 12651400 12902464 12976100 13273600 13365832 13694500 13708868 14023168 14103200 14368000 14884000 14899616 15266000 15814250 15830842 16128080 16193792 16220125 16592000 16609408 16707290 17136085 17205904 17528960 17629000 18496000 18624520 19540480 20160100 20242240 20761760 21507380 21911200 22565120 23280650 23814400 24425600 24595322 25200125 25302800 25804928 25952200 26731664 26884225 27389000 27417736 28206400 28402393 28736000 29768000 29799232 30532000 31628500 31661684 32256160 32387584 32440250 33184000 33218816 33414580 34272170 34411808 35057920 35258000 37249040 39577105 40320200 40484480 41523520 41768225 43014760 43822400 45130240 46561300 47628800 48851200 49190644 50400250 50605600 51609856 51904400 53463328 53768450 54778000 54835472 56412800 56804786 58201625 58262689 59536000 59598464 61064000 61488305 63257000 63323368 64512320 64880500 66368000 66437632 66829160 68544340 68823616 70115840 70516000 74498080 79154210 80640400 80968960 83047040 83536450 85680425 86029520 87644800 93122600 97702400 98381288 100800500 101211200 103219712 103808800 106926656 107536900 109556000 109670944 112825600 113609572 116403250 116525378 119072000 119196928 122128000 122976610 126514000 126646736 129024640 129761000 133658320 134421125 137088680 137647232 141032000 142011965 148996160 158308420 161280800 161937920 166094080 167072900 171360850 172059040 175289600 186245200 196762576 197885525 201601000 202422400 207617600 208841125 209060237 213853312 215073800 219112000 219341888 225651200 227219144 232806500 233050756 238144000 238393856 244256000 245953220 253028000 253293472 258049280 259522000 267316640 268842250 274177360 275294464 282064000 284023930 291313445 297992320 307441525 316616840 322561600 332188160 334145800 342721700 344118080 350579200 372490400 393525152 395771050 403202000 404844800 415235200 417682250 418120474 427706624 428402125 430147600 438224000 438683776 454438288 465613000 466101512 482840681 488512000 491906440 506056000 506586944 516098560 519044000 534633280 537684500 548354720 550588928 564128000 568047860 582626890 595984640 614883050 633233680 645123200 668291600 685443400 688236160 710059825 744980800 750157321 787050304 791542100 806404000 809689600 830470400 835364500 836240948 855413248 856804250 860295200 876448000 877367552 908876576 931226000 932203024 965681362 983812880 989427625 1012112000 1013173888 1038088000 1045301185 1069266560 1075369000 1096709440 1128256000 1136095720 1165253780 1191969280 1229766100 1266467360 1290246400 1336583200 1370886800 1376472320 1420119650 1456567225 1489961600 1500314642 1537207625 1574100608 1583084200 1612808000 1660940800 1670729000 1672481896 1713608500 1720590400 1752896000 1754735104 1817753152 1862452000 1864406048 1931362724 1967625760 1978855250 2024224000 2026347776 2076176000 2090602370 2138533120 2150738000 2193418880 2272191440 2330507560 2414203405 2459532200 2532934720 2580492800 2673166400 2741773600 2752944640 2840239300 2913134450 2979923200 3000629284 3074415250 3148201216 3166168400 3225616000 3341458000 3344963792 3427217000 3441180800 3550299125 3554024029 3635506304 3724904000 3728812096 3750786605 3862725448 3935251520 3957710500 4048448000 4052695552 4152352000 4181204740 4277066240 4301476000 4386837760 4544382880 4661015120 4828406810 4919064400 5065869440 5226505925 5346332800 5483547200 5680478600 5826268900 5959846400 6001258568 6148830500 6296402432 6332336800 6451232000 6682916000 6689927584 6854434000 6882361600 7100598250 7108048058 7271012608 7282836125 7449808000 7457624192 7501573210 7725450896 7870503040 7915421000 8304704000 8362409480 8602952000 8773675520 9088765760 9322030240 9656813620 9838128800 10131738880 10453011850 10692665600 10967094400 11360957200 11652537800 12002517136 12071017025 12297661000 12664673600 12752674457 12902464000 13365832000 13379855168 13708868000 13764723200 14201196500 14216096116 14542025216 14565672250 14899616000 14915248384 15003146420 15450901792 15741006080 15830842000 16724818960 17205904000 17770120145 18177531520 18644060480 18753933025 19313627240 19676257600 20263477760 20906023700 21385331200 21934188800 22721914400 23305075600 24005034272 24142034050 24595322000 25329347200 25505348914 26132529625 26731664000 26759710336 27417736000 28402393000 28432192232 29131344500 29799232000 29830496768 30006292840 30901803584 31482012160 31661684000 33449637920 34411808000 35540240290 36355063040 37288120960 37507866050 38627254480 39352515200 41812047400 43868377600 45443828800 46610151200 48010068544 48284068100 49190644000 50658694400 51010697828 52265059250 53463328000 53519420672 54835472000 56804786000 56864384464 58262689000 60012585680 60355085125 61803607168 63323368000 63763372285 66899275840 68823616000 71080480580 72710126080 74576241920 75015732100 77254508960 78705030400 83624094800 88850600725 90887657600 93220302400 93769665125 96020137088 96568136200 98381288000 101317388800 102021395656 104530118500 106926656000 107038841344 109670944000 113609572000 113728768928 116525378000 120025171360 120710170250 123607214336 126646736000 127526744570 133798551680 142160961160 149152483840 150031464200 154509017920 157410060800 167248189600 177701201450 181775315200 186440604800 187539330250 192040274176 193136272400 196762576000 204042791312 209060237000 216795465769 219341888000 227219144000 227457537856 233050756000 240050342720 241420340500 247214428672 253293472000 255053489140 267597103360 284321922320 300062928400 309018035840 318816861425 334496379200 355402402900 363550630400 372881209600 375078660500 384080548352 386272544800 393525152000 408085582624 418120474000 433590931538 444253003625 454438288000 454915075712 466101512000 480100685440 482840681000 506586944000 510106978280 535194206720 568643844640 600125856800 618036071680 637633722850 668992758400 710804805800 745762419200 750157321000 772545089600 787050304000 816171165248 836240948000 867181863076 888506007250 908876576000 909830151424 932203024000 960201370880 965681362000 1020213956560 1083977328845 1137287689280 1200251713600 1236072143360 1275267445700 1337985516800 1421609611600 1500314642000 1545090179200 1594084307125 1632342330496 1672481896000 1734363726152 1777012014500 1817753152000 1819660302848 1864406048000 1920402741760 1931362724000 2040427913120 2167954657690 2274575378560 2400503427200 2550534891400 2675971033600 2843219223200 3000629284000 3090180358400 3188168614250 3264684660992 3344963792000 3468727452304 3554024029000 3728812096000 3862725448000 4080855826240 4335909315380 4549150757120 4801006854400 5101069782800 5419886644225 5686438446400 6001258568000 6180360716800 6376337228500 6529369321984 6689927584000 6937454904608 7108048058000 7725450896000 8161711652480 8671818630760 9098301514240 9602013708800 10202139565600 10839773288450 11372876892800 12002517136000 12752674457000 13379855168000 13874909809216 14216096116000 15450901792000 16323423304960 17343637261520 20404279131200 21679546576900 22745753785600 24005034272000 25505348914000 27099433221125 27749819618432 28432192232000 30901803584000 32646846609920 34687274523040 40808558262400 43359093153800 45491507571200 48010068544000 51010697828000 54198866442250 55499639236864 56864384464000 69374549046080 81617116524800 86718186307600 102021395656000 108397732884500 110999278473728 113728768928000 138749098092160 163234233049600 173436372615200 204042791312000 216795465769000 227457537856000 277498196184320 346872745230400 408085582624000 433590931538000 554996392368640 693745490460800 816171165248000 867181863076000 1387490980921600 1734363726152000 2774981961843200 3468727452304000 6937454904608000 13874909809216000
- Sum of all divisors σ(n): 37448631613678428
- Sum of proper divisors (its aliquot sum) s(n): 23573721804462428
- 13874909809216000 is an abundant number, because the sum of its proper divisors (23573721804462428) is greater than itself. Its abundance is 9698811995246428
Bases of 13874909809216000
- Binary: 1100010100101100101000001011100111100000001010000000002
- Hexadecimal: 0x314B282E780A00
- Base-36: 3SM8TKKUO74
Squares and roots of 13874909809216000
- 13874909809216000 squared (138749098092160002) is 192513122213878377518534656000000
- 13874909809216000 cubed (138749098092160003) is 2671102207808139730563119307384844189696000000000
-
The
square root of 13874909809216000 is 117791807.0547183685 -
The
cube root of 13874909809216000 is 240294.2560264977
Scales and comparisons
How big is 13874909809216000?- 13,874,909,809,216,000 seconds is equal to 441,179,214 years, 6 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,874,909,809,216,000 would take you about one billion, three hundred twenty-three million, five hundred thirty-seven thousand, six hundred forty-two 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 13874909809216000 cubic inches would be around 20024.5 feet tall.
Recreational maths with 13874909809216000
- 13874909809216000 backwards is 00061290890947831
- The number of decimal digits it has is: 17
- The sum of 13874909809216000's digits is 67
- More coming soon!
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The information we have on file for 13874909809216000 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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