138250974394944
138,250,974,394,944 is an even composite number composed of five prime numbers multiplied together.
What does the number 138250974394944 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
138250974394944 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138250974394944:
26 × 35 × 292 × 533 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 29 × 29 × 53 × 53 × 53 × 71)See below for interesting mathematical facts about the number 138250974394944 from the Numbermatics database.
Names of 138250974394944
- Cardinal: 138250974394944 can be written as One hundred thirty-eight trillion, two hundred fifty billion, nine hundred seventy-four million, three hundred ninety-four thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38250974394944 × 1014
Factors of 138250974394944
Divisors of 138250974394944
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 53 54 58 64 71 72 81 87 96 106 108 116 142 144 159 162 174 192 212 213 216 232 243 261 284 288 318 324 348 424 426 432 464 477 486 522 568 576 636 639 648 696 783 841 848 852 864 928 954 972 1044 1136 1272 1278 1296 1392 1431 1537 1566 1682 1696 1704 1728 1856 1908 1917 1944 2059 2088 2272 2349 2523 2544 2556 2592 2784 2809 2862 3074 3132 3364 3392 3408 3763 3816 3834 3888 4118 4176 4293 4544 4611 4698 5046 5088 5112 5184 5568 5618 5724 5751 6148 6177 6264 6728 6816 7047 7526 7569 7632 7668 7776 8236 8352 8427 8586 9222 9396 10092 10176 10224 11236 11289 11448 11502 12296 12354 12528 12879 13456 13632 13833 14094 15052 15138 15264 15336 15552 16472 16704 16854 17172 17253 18444 18531 18792 20184 20448 22472 22578 22707 22896 23004 24592 24708 25056 25281 25758 26912 27666 28188 30104 30276 30528 30672 32944 33708 33867 34344 34506 36888 37062 37584 40368 40896 41499 44573 44944 45156 45414 45792 46008 49184 49416 50112 50562 51516 53824 55332 55593 56376 59711 60208 60552 61344 65888 67416 67734 68121 68688 69012 73776 74124 75168 75843 80736 81461 82998 89146 89888 90312 90828 91584 92016 98368 98832 101124 101601 103032 109127 110664 111186 112752 119422 120416 121104 122688 124497 131776 133719 134832 135468 136242 137376 138024 147552 148248 148877 150336 151686 161472 162922 165996 166779 178292 179133 179776 180624 181656 184032 197664 199439 202248 203202 204363 206064 218254 221328 222372 225504 227529 238844 240832 242208 244383 248994 267438 269664 270936 272484 274752 276048 295104 296496 297754 303372 304803 325844 327381 331992 333558 356584 358266 361248 363312 368064 373491 395328 398878 401157 404496 406404 408726 412128 436508 442656 444744 446631 451008 455058 477688 484416 488766 497988 500337 534876 537399 539328 541872 544968 552096 592992 595508 598317 606744 609606 651688 654762 663984 667116 682587 713168 716532 722496 726624 733149 746982 797756 802314 808992 812808 817452 824256 873016 885312 889488 893262 910116 914409 955376 977532 982143 995976 1000674 1069752 1074798 1083744 1089936 1104192 1185984 1191016 1196634 1203471 1213488 1219212 1303376 1309524 1327968 1334232 1339893 1365174 1426336 1433064 1453248 1466298 1493964 1595512 1604628 1612197 1617984 1625616 1634904 1746032 1778976 1786524 1794951 1820232 1828818 1910752 1955064 1964286 1991952 2001348 2139504 2149596 2167488 2179872 2199447 2362369 2382032 2393268 2406942 2426976 2438424 2606752 2619048 2655936 2668464 2679786 2730348 2852672 2866128 2932596 2946429 2987928 3164683 3191024 3209256 3224394 3251232 3269808 3492064 3557952 3573048 3589902 3610413 3640464 3657636 3821504 3910128 3928572 3983904 4002696 4019679 4279008 4299192 4317433 4359744 4398894 4724738 4764064 4786536 4813884 4836591 4853952 4876848 5213504 5238096 5336928 5359572 5384853 5460696 5732256 5783731 5865192 5892858 5975856 6329366 6382048 6418512 6448788 6502464 6539616 6598341 6984128 7087107 7146096 7179804 7220826 7280928 7315272 7820256 7857144 7967808 8005392 8039358 8558016 8598384 8634866 8797788 8839287 9449476 9494049 9528128 9573072 9627768 9673182 9753696 10476192 10570267 10673856 10719144 10769706 10831239 10921392 11464512 11567462 11730384 11785716 11951712 12059037 12658732 12764096 12837024 12897576 12952299 13079232 13196682 14174214 14292192 14359608 14441652 14509773 14561856 14630544 15640512 15714288 16010784 16078716 16154559 17196768 17269732 17351193 17595576 17678574 18898952 18988098 19146144 19255536 19346364 19507392 19795023 20952384 21140534 21261321 21438288 21539412 21662478 21842784 23134924 23460768 23571432 23903424 24118074 25317464 25674048 25795152 25904598 26393364 26517861 28348428 28482147 28584384 28719216 28883304 29019546 29261088 31428576 31710801 32021568 32157432 32309118 34393536 34539464 34702386 35191152 35357148 36177111 37797904 37976196 38292288 38511072 38692728 38856897 39590046 42281068 42522642 42876576 43078824 43324956 43685568 46269848 46921536 47142864 48236148 48463677 50634928 51590304 51809196 52053579 52786728 53035722 56696856 56964294 57438432 57766608 58039092 58522176 62857152 63421602 63783963 64314864 64618236 69078928 69404772 70382304 70714296 72354222 75595808 75952392 77022144 77385456 77713794 79180092 84562136 85045284 85446441 85753152 86157648 86649912 92539696 94285728 95132403 96472296 96927354 101269856 103180608 103618392 104107158 105573456 106071444 113393712 113928588 114876864 115533216 116078184 116570691 125205557 126843204 127567926 128629728 129236472 138157856 138809544 140764608 141428592 144708444 151191616 151904784 154770912 155427588 156160737 158360184 167728199 169124272 170090568 170892882 172315296 173299824 185079392 188571456 190264806 191351889 192944592 193854708 202539712 207236784 208214316 211146912 212142888 226787424 227857176 231066432 232156368 233141382 250411114 253686408 255135852 256339323 257259456 258472944 276315712 277619088 282857184 285397209 289416888 303809568 306537743 309541824 310855176 312321474 316720368 335456398 338248544 340181136 341785764 344630592 346599648 349712073 370158784 375616671 380529612 382703778 385889184 387709416 414473568 416428632 422293824 424285776 453574848 455714352 464312736 466282764 468482211 500822228 503184597 507372816 510271704 512678646 516945888 555238176 565714368 570794418 574055667 578833776 607619136 613075486 621710352 624642948 633440736 670912796 676497088 680362272 683571528 693199296 699424146 751233342 761059224 765407556 769017969 771778368 775418832 828947136 832857264 848571552 856191627 911428704 919613229 928625472 932565528 936964422 1001644456 1006369194 1014745632 1020543408 1025357292 1033891776 1049136219 1110476352 1126850013 1141588836 1148111334 1157667552 1226150972 1243420704 1249285896 1266881472 1341825592 1360724544 1367143056 1398848292 1405446633 1502466684 1509553791 1522118448 1530815112 1538035938 1550837664 1665714528 1697143104 1712383254 1822857408 1839226458 1865131056 1873928844 2003288912 2012738388 2029491264 2041086816 2050714584 2098272438 2253700026 2283177672 2296222668 2315335104 2452301944 2486841408 2498571792 2568574881 2683651184 2734286112 2758839687 2797696584 2810893266 3004933368 3019107582 3044236896 3061630224 3076071876 3101675328 3331429056 3380550039 3424766508 3678452916 3730262112 3747857688 4006577824 4025476776 4082173632 4101429168 4196544876 4507400052 4528661373 4566355344 4592445336 4904603888 4997143584 5137149762 5367302368 5468572224 5517679374 5595393168 5621786532 6009866736 6038215164 6088473792 6123260448 6152143752 6761100078 6849533016 7356905832 7460524224 7495715376 8013155648 8050953552 8202858336 8276519061 8393089752 8889594547 9014800104 9057322746 9132710688 9184890672 9809207776 9994287168 10141650117 10274299524 10734604736 11035358748 11190786336 11243573064 12019733472 12076430328 12246520896 12304287504 13522200156 13585984119 13699066032 14713811664 14991430752 16101907104 16405716672 16553038122 16786179504 17779189094 18029600208 18114645492 18265421376 18369781344 19618415552 20283300234 20548599048 22070717496 22381572672 22487146128 24039466944 24152860656 24608575008 24829557183 26668783641 27044400312 27171968238 27398132064 29427623328 29982861504 30424950351 32203814208 33106076244 33572359008 35558378188 36059200416 36229290984 36739562688 40566600468 40757952357 41097198096 44141434992 44974292256 48305721312 49217150016 49659114366 53337567282 54088800624 54343936476 54796264128 58855246656 60849900702 66212152488 67144718016 71116756376 72118400832 72458581968 74488671549 80006350923 81133200936 81515904714 82194396192 88282869984 89948584512 96611442624 99318228732 106675134564 108177601248 108687872952 121699801404 132424304976 142233512752 144917163936 148977343098 160012701846 162266401872 163031809428 164388792384 176565739968 198636457464 213350269128 216355202496 217375745904 240019052769 243399602808 264848609952 284467025504 289834327872 297954686196 320025403692 324532803744 326063618856 397272914928 426700538256 434751491808 480038105538 486799205616 529697219904 568934051008 595909372392 640050807384 649065607488 652127237712 720057158307 794545829856 853401076512 869502983616 960076211076 973598411232 1191818744784 1280101614768 1304254475424 1440114316614 1589091659712 1706802153024 1920152422152 1947196822464 2160171474921 2383637489568 2560203229536 2608508950848 2880228633228 3840304844304 4320342949842 4767274979136 5120406459072 5760457266456 7680609688608 8640685899684 11520914532912 15361219377216 17281371799368 23041829065824 34562743598736 46083658131648 69125487197472 138250974394944
- Sum of all divisors σ(n): 439901897984640
- Sum of proper divisors (its aliquot sum) s(n): 301650923589696
- 138250974394944 is an abundant number, because the sum of its proper divisors (301650923589696) is greater than itself. Its abundance is 163399949194752
Bases of 138250974394944
- Binary: 111110110111101000100000011011111111010010000002
- Hexadecimal: 0x7DBD1037FA40
- Base-36: 1D07MCMC00
Squares and roots of 138250974394944
- 138250974394944 squared (1382509743949442) is 19113331921151461506892763136
- 138250974394944 cubed (1382509743949443) is 2642436762033176517118675030481549907984384
-
The
square root of 138250974394944 is 11758017.4517196561 -
The
cube root of 138250974394944 is 51707.8007894421
Scales and comparisons
How big is 138250974394944?- 138,250,974,394,944 seconds is equal to 4,395,953 years, 18 weeks, 11 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,250,974,394,944 would take you about ten million, nine hundred eighty-nine thousand, eight hundred eighty-three 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 138250974394944 cubic inches would be around 4309 feet tall.
Recreational maths with 138250974394944
- 138250974394944 backwards is 449493479052831
- 138250974394944 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138250974394944's digits is 72
- More coming soon!
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The information we have on file for 138250974394944 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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