138284564162328000
138,284,564,162,328,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138284564162328000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138284564162328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138284564162328000:
26 × 32 × 53 × 19 × 3492 × 9112
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 349 × 349 × 911 × 911)See below for interesting mathematical facts about the number 138284564162328000 from the Numbermatics database.
Names of 138284564162328000
- Cardinal: 138284564162328000 can be written as One hundred thirty-eight quadrillion, two hundred eighty-four trillion, five hundred sixty-four billion, one hundred sixty-two million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38284564162328 × 1017
Factors of 138284564162328000
Divisors of 138284564162328000
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 100 114 120 125 144 150 152 160 171 180 190 192 200 225 228 240 250 285 288 300 304 320 342 349 360 375 380 400 450 456 475 480 500 570 576 600 608 684 698 720 750 760 800 855 900 911 912 950 960 1000 1047 1125 1140 1200 1216 1368 1396 1425 1440 1500 1520 1600 1710 1745 1800 1822 1824 1900 2000 2094 2250 2280 2375 2400 2733 2736 2792 2850 2880 3000 3040 3141 3420 3490 3600 3644 3648 3800 4000 4188 4275 4500 4555 4560 4750 4800 5235 5466 5472 5584 5700 6000 6080 6282 6631 6840 6980 7125 7200 7288 7600 8000 8199 8376 8550 8725 9000 9110 9120 9500 10470 10932 10944 11168 11400 12000 12564 13262 13665 13680 13960 14250 14400 14576 15200 15705 16398 16752 17100 17309 17450 18000 18220 18240 19000 19893 20940 21375 21864 22336 22775 22800 24000 25128 26175 26524 27330 27360 27920 28500 29152 30400 31410 32796 33155 33504 34200 34618 34900 36000 36440 38000 39786 40995 41880 42750 43625 43728 45550 45600 50256 51927 52350 53048 54660 54720 55840 57000 58304 59679 62820 65592 66310 67008 68325 68400 69236 69800 72000 72880 76000 78525 79572 81990 83760 85500 86545 87250 87456 91100 91200 99465 100512 103854 104700 106096 109320 111680 113875 114000 119358 121801 125640 130875 131184 132620 136650 136800 138472 139600 145760 152000 155781 157050 159144 163980 165775 167520 171000 173090 174500 174912 182200 198930 201024 204975 207708 209400 212192 218640 227750 228000 238716 243602 251280 259635 261750 262368 265240 273300 273600 276944 279200 291520 298395 311562 314100 317939 318288 327960 331550 335040 341625 342000 346180 349000 364400 365403 392625 397860 409950 415416 418800 424384 432725 437280 455500 456000 477432 487204 497325 502560 519270 523500 524736 530480 546600 553888 558400 596790 609005 623124 628200 635878 636576 655920 663100 683250 684000 692360 698000 728800 730806 778905 785250 795720 819900 828875 829921 830832 837600 865450 874560 911000 953817 954864 974408 994650 1005120 1024875 1038540 1047000 1060960 1093200 1096209 1107776 1193580 1218010 1246248 1256400 1271756 1273152 1298175 1311840 1326200 1366500 1368000 1384720 1396000 1457600 1461612 1491975 1557810 1570500 1589695 1591440 1639800 1657750 1659842 1661664 1675200 1730900 1822000 1827015 1907634 1909728 1948816 1989300 2049750 2077080 2094000 2121920 2163625 2186400 2192418 2314219 2387160 2436020 2486625 2489763 2492496 2512800 2543512 2596350 2623680 2652400 2733000 2769440 2792000 2861451 2923224 2983950 3045025 3115620 3141000 3179390 3182880 3279600 3315500 3319684 3323328 3461800 3644000 3654030 3815268 3819456 3894525 3897632 3978600 4099500 4149605 4154160 4188000 4327250 4372800 4384836 4628438 4769085 4774320 4872040 4973250 4979526 4984992 5025600 5087024 5192700 5304800 5466000 5481045 5538880 5722902 5846448 5967900 6040841 6090050 6231240 6282000 6358780 6365760 6490875 6559200 6631000 6639368 6923600 6942657 7288000 7308060 7459875 7469289 7630536 7789050 7795264 7948475 7957200 8199000 8299210 8308320 8376000 8654500 8769672 9135075 9256876 9538170 9548640 9744080 9946500 9959052 9969984 10174048 10385400 10609600 10932000 10962090 11445804 11571095 11692896 11935800 12081682 12180100 12448815 12462480 12564000 12717560 12981750 13118400 13262000 13278736 13847200 13885314 14307255 14616120 14919750 14938578 15225125 15261072 15578100 15768499 15896950 15914400 16398000 16598420 16616640 17309000 17539344 18122523 18270150 18513752 19076340 19097280 19472625 19488160 19893000 19918104 20348096 20748025 20770800 20827971 21864000 21924180 22891608 23142190 23385792 23845425 23871600 24163364 24360200 24897630 24924960 25128000 25435120 25963500 26524000 26557472 27405225 27694400 27770628 28614510 29232240 29839500 29877156 30204205 30450250 30522144 31156200 31536998 31793900 31828800 32796000 33196840 34618000 34713285 35078688 36245046 36540300 37027504 37346445 38152680 38945250 38976320 39742375 39786000 39836208 41496050 41541600 41655942 43848360 45675375 45783216 46284380 47305497 47690850 47743200 48326728 48720400 49795260 49849920 50870240 51927000 53048000 53114944 54367569 54810450 55541256 57229020 57855475 58464480 59679000 59754312 60408410 60900500 61044288 62244075 62312400 63073996 63587800 65592000 66393680 69236000 69426570 70157376 71536275 72490092 73080600 74055008 74692890 76305360 77890500 78842495 79484750 79572000 79672416 82992100 83083200 83311884 87696720 90612615 91350750 91566432 92568760 94610994 95381700 95486400 96653456 97440800 99590520 101740480 103740125 103854000 104139855 108735138 109620900 110960711 111082512 114458040 115710950 116928960 119227125 119358000 119508624 120816820 121801000 124488150 124624800 126147992 127175600 132787360 137026125 138472000 138853140 141916491 143072550 144980184 146161200 148110016 149385780 151021025 152610720 155781000 157684990 158969500 159144000 159344832 165984200 166623768 173566425 175393440 181225230 182701500 183132864 185137520 186732225 189221988 190763400 193306912 194881600 199181040 207480250 207708000 208279710 217470276 219241800 221921422 222165024 228916080 231421900 236527485 238454250 238716000 239017248 241633640 243602000 248976300 249249600 252295984 254351200 265574720 271837845 274052250 277706280 283832982 286145100 289277375 289642429 289960368 292322400 298771560 302042050 305221440 311220375 311562000 315369980 317939000 331968400 332882133 333247536 347132850 350786880 357681375 362450460 365403000 370275040 373464450 378443976 381526800 386613824 394212475 398362080 414960500 415416000 416559420 434940552 438483600 443842844 444330048 453063075 457832160 462843800 473054970 476908500 477432000 478034496 483267280 487204000 497952600 504591968 508702400 520699275 543675690 548104500 554803555 555412560 567665964 572290200 578554750 579284858 579920736 584644800 597543120 604084100 622440750 623124000 630739960 635878000 663936800 665764266 666495072 694265700 709582455 715362750 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2603496375 2606781861 2663057064 2718378450 2774017775 2777062800 2838329820 2861451000 2896424290 2899603680 2923224000 2987715600 3020420500 3027551808 3153699800 3319684000 3328821330 3332475360 3471328500 3475709148 3479524416 3547912275 3550742752 3624504600 3702750400 3734644500 3784439760 3815268000 3942124750 3983620800 3994585596 4165594200 4216507018 4344636435 4349405520 4384836000 4438428440 4530630750 4541327712 4578321600 4628438000 4634278864 4730549700 4832672800 4979526000 4993231995 5045919680 5206992750 5213563722 5326114128 5436756900 5503206151 5548035550 5554125600 5676659640 5722902000 5792848580 5799207360 5913187125 5975431200 6040841000 6307399600 6324760527 6639368000 6657642660 6664950720 6795946125 6942657000 6951418296 7095824550 7101485504 7241060725 7249009200 7469289000 7568879520 7630536000 7884249500 7989171192 8322053325 8331188400 8433014036 8689272870 8698811040 8769672000 8876856880 9061261500 9082655424 9256876000 9268557728 9461099400 9665345600 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660384738120 665764266000 674641122880 687900768875 695141829600 758971263240 790595065875 792461685744 798917119200 808681661768 825480922650 834170195520 843301403600 868927287000 880512984160 887685688000 909766869489 948714079050 990577107180 998646399000 1010852077210 1011961684320 1042712744400 1054126754500 1056615580992 1100641230200 1135331928000 1158569716000 1213022492652 1214354021184 1238221383975 1264952105400 1303390930500 1320769476240 1331528532000 1375801537750 1390283659200 1516278115815 1517942526480 1581190131750 1584923371488 1597834238400 1617363323536 1650961845300 1686602807200 1737854574000 1761025968320 1819533738978 1897428158100 1920618946699 1981154214360 1997292798000 2021704154420 2023923368640 2063702306625 2085425488800 2108253509000 2201282460400 2317139432000 2371785197625 2426044985304 2476442767950 2527130193025 2529904210800 2606781861000 2641538952480 2663057064000 2751603075500 3032556231630 3035885052960 3162380263500 3169846742976 3234726647072 3301923690600 3373205614400 3475709148000 3639067477956 3794856316200 3841237893398 3962308428720 3994585596000 4043408308840 4127404613250 4170850977600 4216507018000 4402564920800 4548834347445 4743570395250 4852089970608 4952885535900 5054260386050 5059808421600 5213563722000 5283077904960 5503206151000 5761856840097 6065112463260 6071770105920 6191106919875 6324760527000 6469453294144 6603847381200 6951418296000 7278134955912 7581390579075 7589712632400 7682475786796 7924616857440 7989171192000 8086816617680 8254809226500 8433014036000 8805129841600 9097668694890 9487140790500 9603094733495 9704179941216 9905771071800 10108520772100 10119616843200 10427127444000 11006412302000 11523713680194 12130224926520 12382213839750 12635650965125 12649521054000 13207694762400 14556269911824 15162781158150 15179425264800 15364951573592 15849233714880 16173633235360 16509618453000 16866028072000 17285570520291 18195337389780 18974281581000 19206189466990 19408359882432 19811542143600 20217041544200 20854254888000 22012824604000 22744171737225 23047427360388 24260449853040 24764427679500 25271301930250 25299042108000 26415389524800 28809284200485 29112539823648 30325562316300 30358850529600 30729903147184 32347266470720 33019236906000 34571141040582 36390674779560 37906952895375 37948563162000 38412378933980 39623084287200 40434083088400 44025649208000 45488343474450 46094854720776 48015473667475 48520899706080 49528855359000 50542603860500 50598084216000 57618568400970 58225079647296 60651124632600 61459806294368 66038473812000 69142282081164 72781349559120 75813905790750 75897126324000 76824757867960 79246168574400 80868166176800 86427852601455 90976686948900 92189709441552 96030947334950 97041799412160 99057710718000 101085207721000 113720858686125 115237136801940 121302249265200 122919612588736 132076947624000 138284564162328 144046421002425 145562699118240 151627811581500 151794252648000 153649515735920 161736332353600 172855705202910 181953373897800 184379418883104 192061894669900 198115421436000 202170415442000 227441717372250 230474273603880 240077368337375 242604498530400 276569128324656 288092842004850 291125398236480 303255623163000 307299031471840 345711410405820 363906747795600 368758837766208 384123789339800 396230842872000 404340830884000 432139263007275 454883434744500 460948547207760 480154736674750 485208997060800 553138256649312 576185684009700 606511246326000 614598062943680 691422820811640 720232105012125 727813495591200 768247578679600 808681661768000 864278526014550 909766869489000 921897094415520 960309473349500 1106276513298624 1152371368019400 1213022492652000 1382845641623280 1440464210024250 1455626991182400 1536495157359200 1728557052029100 1819533738978000 1843794188831040 1920618946699000 2160696315036375 2304742736038800 2426044985304000 2765691283246560 2880928420048500 3072990314718400 3457114104058200 3639067477956000 3841237893398000 4321392630072750 4609485472077600 5531382566493120 5761856840097000 6914228208116400 7278134955912000 7682475786796000 8642785260145500 9218970944155200 11523713680194000 13828456416232800 15364951573592000 17285570520291000 23047427360388000 27656912832465600 34571141040582000 46094854720776000 69142282081164000 138284564162328000
- Sum of all divisors σ(n): 522772136714046960
- Sum of proper divisors (its aliquot sum) s(n): 384487572551718960
- 138284564162328000 is an abundant number, because the sum of its proper divisors (384487572551718960) is greater than itself. Its abundance is 246203008389390960
Bases of 138284564162328000
- Binary: 1111010110100100100010100000101001101000010110101110000002
- Hexadecimal: 0x1EB491414D0B5C0
- Base-36: 11TLSBRWLWW0
Squares and roots of 138284564162328000
- 138284564162328000 squared (1382845641623280002) is 19122620685565009436334379584000000
- 138284564162328000 cubed (1382845641623280003) is 2644363267144875194205782290765228545111552000000000
-
The
square root of 138284564162328000 is 371866325.6633060609 -
The
cube root of 138284564162328000 is 517119.8813149345
Scales and comparisons
How big is 138284564162328000?- 138,284,564,162,328,000 seconds is equal to 4,397,021,398 years, 6 weeks, 1 day, 20 hours.
-
To count from 1 to 138,284,564,162,328,000 would take you about thirteen billion, one hundred ninety-one million, sixty-four thousand, one hundred ninety-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 138284564162328000 cubic inches would be around 43093.3 feet tall.
Recreational maths with 138284564162328000
- 138284564162328000 backwards is 000823261465482831
- The number of decimal digits it has is: 18
- The sum of 138284564162328000's digits is 63
- More coming soon!
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"Number 138284564162328000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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The information we have on file for 138284564162328000 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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