138182448317514944
138,182,448,317,514,944 is an even composite number composed of five prime numbers multiplied together.
What does the number 138182448317514944 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 504 divisors.
138182448317514944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 138182448317514944:
26 × 7 × 232 × 533 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 7 × 23 × 23 × 53 × 53 × 53 × 1979 × 1979)See below for interesting mathematical facts about the number 138182448317514944 from the Numbermatics database.
Names of 138182448317514944
- Cardinal: 138182448317514944 can be written as One hundred thirty-eight quadrillion, one hundred eighty-two trillion, four hundred forty-eight billion, three hundred seventeen million, five hundred fourteen thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38182448317514944 × 1017
Factors of 138182448317514944
Divisors of 138182448317514944
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 4 7 8 14 16 23 28 32 46 53 56 64 92 106 112 161 184 212 224 322 368 371 424 448 529 644 736 742 848 1058 1219 1288 1472 1484 1696 1979 2116 2438 2576 2809 2968 3392 3703 3958 4232 4876 5152 5618 5936 7406 7916 8464 8533 9752 10304 11236 11872 13853 14812 15832 16928 17066 19504 19663 22472 23744 27706 28037 29624 31664 33856 34132 39008 39326 44944 45517 55412 56074 59248 63328 64607 68264 78016 78652 89888 91034 104887 110824 112148 118496 126656 129214 136528 148877 157304 179776 182068 196259 209774 221648 224296 236992 258428 273056 297754 314608 318619 364136 392518 419548 443296 448592 452249 516856 546112 595508 629216 637238 728272 734209 785036 839096 886592 897184 904498 1033712 1042139 1046891 1191016 1258432 1274476 1456544 1468418 1485961 1570072 1678192 1794368 1808996 2067424 2084278 2093782 2382032 2412401 2548952 2913088 2936836 2971922 3140144 3356384 3424171 3617992 3916441 4134848 4168556 4187564 4764064 4824802 5097904 5559011 5873672 5943844 6280288 6712768 6848342 7235984 7328237 7832882 8337112 8375128 9528128 9649604 10195808 10401727 11118022 11747344 11887688 12560576 13696684 14471968 14656474 15665764 16674224 16750256 16886807 19299208 20391616 20803454 22236044 23494688 23775376 23969197 27393368 27415087 28943936 29312948 31331528 33348448 33500512 33773614 38598416 38913077 41606908 44472088 46989376 47550752 47938394 54786736 54830174 55485223 58625896 62663056 66696896 67001024 67547228 77196832 77826154 78755933 83213816 88944176 90078143 95101504 95876788 109573472 109660348 110970446 117251792 125326112 127857253 135094456 154393664 155652308 157511866 166427632 177888352 180156286 191753576 207571373 219146944 219320696 221940892 234503584 250652224 255714506 270188912 294627583 311304616 315023732 332855264 355776704 360312572 383507152 388396561 415142746 438641392 443881784 469007168 511429012 540377824 551291531 589255166 622609232 630047464 630547001 665710528 720625144 767014304 776793122 830285492 877282784 887763568 895000771 1022858024 1080755648 1102583062 1178510332 1245218464 1260094928 1261094002 1441250288 1452999611 1534028608 1553586244 1660570984 1754565568 1775527136 1790001542 2045716048 2062393081 2071797289 2205166124 2357020664 2490436928 2520189856 2522188004 2882500576 2905999222 2940716819 3107172488 3321141968 3551054272 3580003084 4091432096 4124786162 4143594578 4410332248 4714041328 4774141579 5040379712 5044376008 5765001152 5811998444 5881433638 6214344976 6642283936 6776434409 7160006168 8182864192 8249572324 8287189156 8820664496 9428082656 9548283158 10088752016 11001282769 11623996888 11762867276 12428689952 13284567872 13552868818 14320012336 14502581023 16499144648 16574378312 17641328992 18856165312 19096566316 20177504032 20585017733 22002565538 23247993776 23525734552 24857379904 27105737636 28640024672 29005162046 32998289296 33148756624 33418991053 35282657984 38193132632 40355008064 41170035466 44005131076 46495987552 47051469104 47435040863 54211475272 57280049344 58010324092 65996578592 66297513248 66837982106 76386265264 77008979383 82340070932 88010262152 92991975104 94102938208 94870081726 108422950544 109805256317 116020648184 131993157184 132595026496 133675964212 152772530528 154017958766 155857991407 164680141864 176020524304 188205876416 189740163452 216845901088 219610512634 232041296368 253029503687 267351928424 305545061056 308035917532 311715982814 329360283728 352041048608 379480326904 433691802176 439221025268 464082592736 506059007374 534703856848 583067986757 616071835064 623431965628 658720567456 704082097216 758960653808 768636794219 878442050536 928165185472 1012118014748 1069407713696 1091005939849 1166135973514 1232143670128 1246863931256 1317441134912 1517921307616 1537273588438 1756884101072 1771206525809 2024236029496 2138815427392 2182011879698 2332271947028 2464287340256 2493727862512 3035842615232 3074547176876 3513768202144 3542413051618 4048472058992 4081475907299 4364023759396 4664543894056 4928574680512 4987455725024 5819678584801 6149094353752 7027536404288 7084826103236 8096944117984 8162951814598 8728047518792 9329087788112 9974911450048 11639357169602 12298188707504 13410563695411 14169652206472 16193888235968 16325903629196 17456095037584 18658175576224 23278714339204 24596377415008 26821127390822 28339304412944 32651807258392 34912190075168 37316351152448 40737750093607 46557428678408 49192754830016 53642254781644 56678608825888 65303614516784 69824380150336 81475500187214 93114857356816 93873945867877 107284509563288 113357217651776 130607229033568 162951000374428 186229714713632 187747891735754 214569019126576 261214458067136 308442964994453 325902000748856 372459429427264 375495783471508 429138038253152 616885929988906 651804001497712 750991566943016 858276076506304 1233771859977812 1303608002995424 1501983133886032 2159100754961171 2467543719955624 2607216005990848 3003966267772064 4318201509922342 4935087439911248 6007932535544128 8636403019844684 9870174879822496 17272806039689368 19740349759644992 34545612079378736 69091224158757472 138182448317514944
- Sum of all divisors σ(n): 334064259484693920
- Sum of proper divisors (its aliquot sum) s(n): 195881811167178976
- 138182448317514944 is an abundant number, because the sum of its proper divisors (195881811167178976) is greater than itself. Its abundance is 57699362849664032
Bases of 138182448317514944
- Binary: 1111010101110110000110100011000100010100011000100110000002
- Hexadecimal: 0x1EAEC346228C4C0
- Base-36: 11SLL8EJ5RCW
Squares and roots of 138182448317514944
- 138182448317514944 squared (1381824483175149442) is 19094389023022688577821563663323136
- 138182448317514944 cubed (1381824483175149443) is 2638509424328357328584285848702292176069408380944384
-
The
square root of 138182448317514944 is 371728998.4888385647 -
The
cube root of 138182448317514944 is 516992.5613994517
Scales and comparisons
How big is 138182448317514944?- 138,182,448,317,514,944 seconds is equal to 4,393,774,430 years, 6 weeks, 1 day, 19 hours, 55 minutes, 44 seconds.
-
To count from 1 to 138,182,448,317,514,944 would take you about thirteen billion, one hundred eighty-one million, three hundred twenty-three thousand, two hundred ninety 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 138182448317514944 cubic inches would be around 43082.7 feet tall.
Recreational maths with 138182448317514944
- 138182448317514944 backwards is 449415713844281831
- The number of decimal digits it has is: 18
- The sum of 138182448317514944's digits is 77
- More coming soon!
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The information we have on file for 138182448317514944 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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