12137283643719312
12,137,283,643,719,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 12137283643719312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 900 divisors.
12137283643719312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred divisors.
Prime factorization of 12137283643719312:
24 × 34 × 13 × 61 × 1092 × 9972
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 61 × 109 × 109 × 997 × 997)See below for interesting mathematical facts about the number 12137283643719312 from the Numbermatics database.
Names of 12137283643719312
- Cardinal: 12137283643719312 can be written as Twelve quadrillion, one hundred thirty-seven trillion, two hundred eighty-three billion, six hundred forty-three million, seven hundred nineteen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.2137283643719312 × 1016
Factors of 12137283643719312
Divisors of 12137283643719312
- Number of divisors d(n): 900
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 61 72 78 81 104 108 109 117 122 144 156 162 183 208 216 218 234 244 312 324 327 351 366 432 436 468 488 549 624 648 654 702 732 793 872 936 976 981 997 1053 1098 1296 1308 1404 1417 1464 1586 1647 1744 1872 1962 1994 2106 2196 2379 2616 2808 2834 2928 2943 2991 3172 3294 3924 3988 4212 4251 4392 4758 4941 5232 5616 5668 5886 5982 6344 6588 6649 7137 7848 7976 8424 8502 8784 8829 8973 9516 9882 11336 11772 11881 11964 12688 12753 12961 13176 13298 14274 15696 15952 16848 17004 17658 17946 19032 19764 19947 21411 22672 23544 23762 23928 25506 25922 26352 26596 26919 28548 34008 35316 35643 35892 38064 38259 38883 39528 39894 42822 47088 47524 47856 51012 51844 53192 53838 57096 59841 60817 64233 68016 70632 71286 71784 76518 77766 79056 79788 80757 85644 86437 95048 102024 103688 106384 106929 107676 108673 114192 114777 116649 119682 121634 128466 141264 142572 143568 153036 154453 155532 159576 161514 171288 172874 179523 182451 190096 204048 207376 213858 215352 217346 229554 233298 239364 243268 256932 259311 285144 306072 308906 311064 319152 320787 323028 326019 342576 345748 349947 359046 364902 427716 430704 434692 459108 463359 466596 478728 486536 513864 518622 538569 547353 570288 612144 617812 622128 641574 646056 652038 691496 699894 718092 724741 729804 777933 790621 855432 869384 918216 926718 933192 957456 962361 973072 978057 994009 1027728 1037244 1049841 1077138 1094706 1235624 1283148 1292112 1304076 1382992 1390077 1399788 1412749 1436184 1449482 1459608 1555866 1581242 1642059 1710864 1738768 1836432 1853436 1866384 1924722 1956114 1988018 2074488 2099682 2154276 2174223 2189412 2333799 2371863 2471248 2566296 2608152 2780154 2799576 2825498 2872368 2898964 2919216 2934171 2982027 3111732 3162484 3284118 3706872 3849444 3912228 3976036 4148976 4170231 4199364 4238247 4308552 4348446 4378824 4667598 4743726 4926177 5132592 5216304 5560308 5599152 5650996 5797928 5868342 5964054 6223464 6324968 6522669 6568236 6629053 7001397 7115589 7413744 7698888 7824456 7952072 8340462 8398728 8476494 8617104 8696892 8757648 8802513 8946081 9335196 9421633 9487452 9852354 11120616 11301992 11595856 11736684 11845357 11928108 12446928 12510693 12649936 12714741 12922117 13045338 13136472 13258106 14002794 14231178 15397776 15648912 15904144 16680924 16797456 16952988 17393784 17605026 17892162 18670392 18843266 18974904 19568007 19704708 19887159 21346767 22241232 22603984 23473368 23690714 23856216 25021386 25429482 25844234 26090676 26272944 26516212 26838243 28005588 28264899 28462356 33361848 33905976 34787568 35210052 35536071 35784324 37340784 37686532 37949808 38144223 38766351 39136014 39409416 39774318 42693534 46946736 47381428 47712432 50042772 50858964 51688468 52181352 53032424 53676486 56011176 56529798 56924712 58704021 59661477 60634549 64040301 66723696 67811952 70420104 71072142 71568648 75373064 76288446 77532702 78272028 78818832 79548636 80514729 84794697 85387068 86177689 94762856 100085544 101717928 103376936 104362704 106064848 106608213 107352972 108346981 112022352 113059596 113849424 114432669 116299053 117408042 119322954 121269098 128080602 140840208 142144284 143137296 150746128 152576892 153989641 155065404 156544056 159097272 161029458 169589394 170774136 172355378 178984431 181903647 189525712 200171088 203435856 206753872 213216426 214705944 216693962 226119192 228865338 232598106 234816084 238645908 242538196 254384091 256161204 258533067 284288568 305153784 307979282 310130808 313088112 318194544 319824639 322058916 325040943 339178788 341548272 344710756 348897159 357968862 363807294 426432852 429411888 433387924 452238384 457730676 461968923 465196212 469632168 477291816 485076392 508768182 512322408 517066134 536953293 545710941 568577136 610307568 615958564 620261616 639649278 644117832 650081886 678357576 689421512 697794318 715937724 722566777 727614588 763152273 775599201 788249137 852865704 866775848 915461352 923937846 930392424 939264336 954583632 959473917 970152784 975122829 1017536364 1024644816 1034132268 1046691477 1073906586 1091421882 1231917128 1279298556 1288235664 1300163772 1356715152 1378843024 1385906769 1395588636 1408510753 1431875448 1445133554 1455229176 1526304546 1551198402 1576498274 1637132823 1705731408 1733551696 1830922704 1847875692 1860784848 1918947834 1950245658 2035072728 2068264536 2093382954 2147813172 2167700331 2182843764 2326797603 2364747411 2463834256 2558597112 2600327544 2771813538 2791177272 2817021506 2863750896 2890267108 2910458352 2925368487 3052609092 3102396804 3152996548 3274265646 3695751384 3837895668 3900491316 4070145456 4136529072 4157720307 4186765908 4225532259 4295626344 4335400662 4365687528 4653595206 4729494822 4911398469 5117194224 5200655088 5543627076 5582354544 5634043012 5780534216 5850736974 6105218184 6204793608 6305993096 6503100993 6548531292 6609165841 6980392809 7094242233 7391502768 7675791336 7800982632 8315440614 8373531816 8451064518 8591252688 8670801324 8731375056 8776105461 9307190412 9393368101 9458989644 9822796938 11087254152 11268086024 11561068432 11701473948 11809820929 12210436368 12409587216 12473160921 12611986192 12676596777 13006201986 13097062584 13218331682 13960785618 14188484466 15351582672 15601965264 16630881228 16747063632 16902129036 17341602648 17552210922 18614380824 18786736202 18917979288 19509302979 19645593876 19827497523 21282726699 22174508304 22536172048 23402947896 23619641858 24946321842 25353193554 26012403972 26194125168 26436663364 27921571236 28180104303 28376968932 33261762456 33804258072 34683205296 35104421844 35429462787 37228761648 37573472404 37835958576 38029790331 39018605958 39291187752 39654995046 42565453398 46805895792 47239283716 49892643684 50706387108 52024807944 52873326728 55843142472 56360208606 56753937864 58527908937 59482492569 63848180097 66523524912 67608516144 70208843688 70858925574 75146944808 76059580662 78037211916 78582375504 79309990092 84540312909 85130906796 85919155933 94478567432 99785287368 101412774216 104049615888 105746653456 106288388361 111686284944 112720417212 113507875728 114089370993 117055817874 118964985138 127696360194 140417687376 141717851148 150293889616 152119161324 153527672077 156074423832 158619980184 169080625818 170261813592 171838311866 178447477707 188957134864 199570574736 202825548432 212576776722 225440834424 228178741986 234111635748 237929970276 253620938727 255392720388 257757467799 283435702296 304238322648 307055344154 312148847664 317239960368 318865165083 338161251636 340523627184 343676623732 356894955414 425153553444 450881668848 456357483972 460583016231 468223271496 475859940552 507241877454 510785440776 515514935598 535342433121 566871404592 608476645296 614110688308 637730330166 676322503272 687353247464 713789910828 720399076669 760862816181 773272403397 850307106888 912714967944 921166032462 936446542992 951719881104 956595495249 1014483754908 1021570881552 1031029871196 1070684866242 1228221376616 1275460660332 1352645006544 1374706494928 1381749048693 1427579821656 1440798153338 1521725632362 1546544806794 1700614213776 1825429935888 1842332064924 1913190990498 2028967509816 2062059742392 2141369732484 2161197230007 2319817210191 2456442753232 2550921320664 2763498097386 2855159643312 2881596306676 3043451264724 3093089613588 3684664129848 3826381980996 4057935019632 4124119484784 4145247146079 4282739464968 4322394460014 4639634420382 5101842641328 5526996194772 5763192613352 6086902529448 6186179227176 6483591690021 6959451630573 7369328259696 7652763961992 8290494292158 8565478929936 8644788920028 9279268840764 9365187996697 11053992389544 11526385226704 12173805058896 12372358454352 12435741438237 12967183380042 13918903261146 15305527923984 16580988584316 17289577840056 18558537681528 18730375993394 19450775070063 22107984779088 24871482876474 25934366760084 27837806522292 28095563990091 33161977168632 34579155680112 37117075363056 37460751986788 38901550140126 49742965752948 51868733520168 55675613044584 56191127980182 58352325210189 66323954337264 74921503973576 77803100280252 84286691970273 99485931505896 103737467040336 111351226089168 112382255960364 116704650420378 149843007947152 155606200560504 168573383940546 198971863011792 224764511920728 233409300840756 252860075910819 311212401121008 337146767881092 449529023841456 466818601681512 505720151821638 674293535762184 758580227732457 933637203363024 1011440303643276 1348587071524368 1517160455464914 2022880607286552 3034320910929828 4045761214573104 6068641821859656 12137283643719312
- Sum of all divisors σ(n): 38846180909852316
- Sum of proper divisors (its aliquot sum) s(n): 26708897266133004
- 12137283643719312 is an abundant number, because the sum of its proper divisors (26708897266133004) is greater than itself. Its abundance is 14571613622413692
Bases of 12137283643719312
- Binary: 1010110001111011001011100100000001111100111110100100002
- Hexadecimal: 0x2B1ECB901F3E90
- Base-36: 3BIB34Q3D00
Squares and roots of 12137283643719312
- 12137283643719312 squared (121372836437193122) is 147313654248096338993144641753344
- 12137283643719312 cubed (121372836437193123) is 1787987606201941638414184223279793830301073379328
-
The
square root of 12137283643719312 is 110169340.7610271217 -
The
cube root of 12137283643719312 is 229812.5987273293
Scales and comparisons
How big is 12137283643719312?- 12,137,283,643,719,312 seconds is equal to 385,928,076 years, 40 weeks, 6 days, 10 hours, 55 minutes, 12 seconds.
-
To count from 1 to 12,137,283,643,719,312 would take you about one billion, one hundred fifty-seven million, seven hundred eighty-four thousand, two hundred thirty 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 12137283643719312 cubic inches would be around 19151 feet tall.
Recreational maths with 12137283643719312
- 12137283643719312 backwards is 21391734638273121
- The number of decimal digits it has is: 17
- The sum of 12137283643719312's digits is 63
- More coming soon!
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The information we have on file for 12137283643719312 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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