138325923348480
138,325,923,348,480 is an even composite number composed of five prime numbers multiplied together.
138325923348480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 138325923348480:
214 × 33 × 5 × 75 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 61 × 61)See below for interesting mathematical facts about the number 138325923348480 from the Numbermatics database.
Names of 138325923348480
- Cardinal: 138325923348480 can be written as One hundred thirty-eight trillion, three hundred twenty-five billion, nine hundred twenty-three million, three hundred forty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3832592334848 × 1014
Factors of 138325923348480
Divisors of 138325923348480
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 49 54 56 60 61 63 64 70 72 80 84 90 96 98 105 108 112 120 122 126 128 135 140 144 147 160 168 180 183 189 192 196 210 216 224 240 244 245 252 256 270 280 288 294 305 315 320 336 343 360 366 378 384 392 420 427 432 441 448 480 488 490 504 512 540 549 560 576 588 610 630 640 672 686 720 732 735 756 768 784 840 854 864 882 896 915 945 960 976 980 1008 1024 1029 1080 1098 1120 1152 1176 1220 1260 1280 1281 1323 1344 1372 1440 1464 1470 1512 1536 1568 1647 1680 1708 1715 1728 1764 1792 1830 1890 1920 1952 1960 2016 2048 2058 2135 2160 2196 2205 2240 2304 2352 2401 2440 2520 2560 2562 2646 2688 2744 2745 2880 2928 2940 2989 3024 3072 3087 3136 3294 3360 3416 3430 3456 3528 3584 3660 3721 3780 3840 3843 3904 3920 4032 4096 4116 4270 4320 4392 4410 4480 4608 4704 4802 4880 5040 5120 5124 5145 5292 5376 5488 5490 5760 5856 5880 5978 6048 6144 6174 6272 6405 6588 6615 6720 6832 6860 6912 7056 7168 7203 7320 7442 7560 7680 7686 7808 7840 8064 8192 8232 8235 8540 8640 8784 8820 8960 8967 9216 9261 9408 9604 9760 10080 10240 10248 10290 10584 10752 10976 10980 11163 11520 11529 11712 11760 11956 12005 12096 12288 12348 12544 12810 13176 13230 13440 13664 13720 13824 14112 14336 14406 14640 14884 14945 15120 15360 15372 15435 15616 15680 16128 16384 16464 16470 16807 17080 17280 17568 17640 17920 17934 18432 18522 18605 18816 19208 19215 19520 20160 20480 20496 20580 20923 21168 21504 21609 21952 21960 22326 23040 23058 23424 23520 23912 24010 24192 24576 24696 25088 25620 26047 26352 26460 26880 26901 27328 27440 27648 28224 28672 28812 29280 29768 29890 30240 30720 30744 30870 31232 31360 32256 32928 32940 33489 33614 34160 34560 35136 35280 35840 35868 36015 36864 37044 37210 37632 38416 38430 39040 40320 40960 40992 41160 41846 42336 43008 43218 43904 43920 44652 44835 46080 46116 46305 46848 47040 47824 48020 48384 49152 49392 50176 50421 51240 52094 52704 52920 53760 53802 54656 54880 55296 55815 56448 57344 57624 57645 58560 59536 59780 60480 61440 61488 61740 62464 62720 62769 64512 64827 65856 65880 66978 67228 68320 69120 70272 70560 71680 71736 72030 73728 74088 74420 75264 76832 76860 78080 78141 80640 80703 81920 81984 82320 83692 84035 84672 86016 86436 87808 87840 89304 89670 92160 92232 92610 93696 94080 95648 96040 96768 98784 100352 100467 100842 102480 104188 104615 105408 105840 107520 107604 108045 109312 109760 110592 111630 112896 114688 115248 115290 117120 119072 119560 120960 122880 122976 123480 124928 125440 125538 129024 129654 130235 131712 131760 133956 134456 134505 136640 138240 140544 141120 143360 143472 144060 146461 147456 148176 148840 150528 151263 153664 153720 156160 156282 161280 161406 163968 164640 167384 167445 168070 169344 172032 172872 175616 175680 178608 179340 182329 184320 184464 185220 187392 188160 188307 191296 192080 193536 197568 200704 200934 201684 204960 208376 209230 210816 211680 215040 215208 216090 218624 219520 221184 223260 225792 230496 230580 234240 234423 238144 239120 241920 245760 245952 246960 249856 250880 251076 252105 258048 259308 260470 263424 263520 267912 268912 269010 273280 276480 281088 282240 286720 286944 288120 292922 296352 297680 301056 302526 307328 307440 312320 312564 313845 322560 322812 324135 327936 329280 334768 334890 336140 338688 344064 345744 351232 351360 357216 358680 364658 368640 368928 370440 374784 376320 376614 382592 384160 387072 390705 395136 401408 401868 403368 403515 409920 416752 418460 421632 423360 430080 430416 432180 437248 439040 439383 442368 446520 451584 453789 460992 461160 468480 468846 476288 478240 483840 491904 493920 499712 501760 502152 502335 504210 516096 518616 520940 526848 527040 535824 537824 538020 546560 546987 552960 562176 564480 564921 573440 573888 576240 585844 592704 595360 602112 605052 614656 614880 624640 625128 627690 645120 645624 648270 655872 658560 669536 669780 672280 677376 691488 702464 702720 703269 714432 717360 729316 732305 737280 737856 740880 749568 752640 753228 756315 765184 768320 774144 781410 790272 802816 803736 806736 807030 819840 833504 836920 843264 846720 860160 860832 864360 874496 878080 878766 893040 903168 907578 911645 921984 922320 936960 937692 941535 952576 956480 967680 983808 987840 999424 1003520 1004304 1004670 1008420 1025227 1032192 1037232 1041880 1053696 1054080 1071648 1075648 1076040 1093120 1093974 1105920 1124352 1128960 1129842 1147776 1152480 1171688 1172115 1185408 1190720 1204224 1210104 1229312 1229760 1249280 1250256 1255380 1276303 1290240 1291248 1296540 1311744 1317120 1318149 1339072 1339560 1344560 1354752 1382976 1404928 1405440 1406538 1428864 1434720 1458632 1464610 1475712 1481760 1499136 1505280 1506456 1512630 1530368 1536640 1548288 1562820 1580544 1607472 1613472 1614060 1639680 1640961 1667008 1673840 1686528 1693440 1720320 1721664 1728720 1748992 1756160 1757532 1786080 1806336 1815156 1823290 1843968 1844640 1873920 1875384 1883070 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11298420 11430912 11477760 11486727 11669056 11716880 11805696 11854080 12042240 12051648 12101040 12242944 12293120 12302724 12502560 12644352 12763030 12859776 12907776 12912480 13117440 13127688 13181490 13336064 13390720 13492224 13547520 13773312 13829760 14049280 14060256 14065380 14288640 14521248 14586320 14751744 14757120 14991360 15003072 15064560 15241216 15303680 15315636 15378405 15482880 15740928 15805440 15817788 16068864 16074720 16134720 16403632 16409610 16595712 16670080 16859136 16865280 17146368 17210368 17216640 17489920 17503584 17575320 17868242 18063360 18077472 18151560 18364416 18439680 18454086 18747008 18753840 18966528 19051520 19144545 19361664 19668992 19676160 19691532 19772235 20004096 20086080 20420848 20504540 20659968 20744640 20987904 21073920 21090384 21425152 21432960 21512960 21676032 21879480 22127616 22487040 22504608 22596840 22861824 22955520 22973454 23338112 23433760 23611392 23708160 24103296 24202080 24485888 24586240 24605448 24614415 25005120 25288704 25526060 25719552 25815552 25824960 26234880 26255376 26362980 26672128 26781440 26802363 26984448 27095040 27546624 27659520 27681129 28098560 28120512 28130760 28577280 29042496 29172640 29503488 29514240 30006144 30129120 30482432 30607360 30631272 30756810 31481856 31610880 31635576 32137728 32149440 32269440 32807264 32819220 33191424 33340160 33730560 34292736 34420736 34433280 34460181 34979840 35007168 35150640 35736484 36126720 36154944 36303120 36728832 36879360 36908172 37494016 37507680 37933056 38103040 38289090 38723328 39337984 39352320 39383064 39544470 40008192 40172160 40841696 41009080 41319936 41489280 42147840 42180768 42850304 42865920 43025920 43758960 44255232 44670605 44974080 45009216 45193680 45723648 45911040 45946908 46135215 46676224 46867520 47222784 47416320 48206592 48404160 48971776 49172480 49210896 49228830 50010240 50577408 51052120 51439104 51631104 51649920 52469760 52510752 52725960 53344256 53562880 53604726 54190080 55093248 55319040 55362258 56241024 56261520 57154560 57433635 58084992 58345280 59006976 59028480 60012288 60258240 60964864 61214720 61262544 61513620 62538847 62963712 63221760 63271152 64275456 64298880 64538880 65614528 65638440 66382848 66680320 67461120 68585472 68841472 68866560 68920362 70014336 70301280 71472968 72309888 72606240 73457664 73758720 73816344 74988032 75015360 75866112 76206080 76578180 77446656 78704640 78766128 79088940 80016384 80344320 80407089 81683392 82018160 82639872 82978560 84295680 84361536 85700608 85731840 86051840 87517920 88510464 89341210 90018432 90387360 91447296 91822080 91893816 92270430 93352448 93735040 94445568 94832640 96413184 96808320 98344960 98421792 98457660 100020480 102104240 102878208 103262208 103299840 104939520 105021504 105451920 106688512 107125760 107209452 108380160 110186496 110638080 110724516 112482048 112523040 114309120 114867270 116169984 116690560 118013952 118056960 120024576 120516480 122429440 122525088 123027240 125077694 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268023630 274341888 275365888 275466240 275681448 276811290 280057344 281205120 285891872 289239552 290424960 295034880 295265376 299952128 300061440 304824320 306312720 309786624 312694235 314818560 315064512 316355760 320065536 321377280 321628356 326733568 328072640 330559488 331914240 337446144 342802432 342927360 344207360 344601810 350071680 354041856 357364840 360073728 361549440 367288320 367575264 369081720 373409792 374940160 375233082 379330560 385652736 387233280 393687168 393830640 400081920 402035445 408416960 411512832 413048832 413199360 420086016 421807680 426754048 428503040 428837808 440745984 442552320 442898064 449928192 450092160 457236480 459469080 464679936 466762240 472227840 480098304 482065920 482442534 490100352 492108960 500310776 506169216 514203648 514391040 516311040 524916224 525107520 531062784 533442560 536047260 548683776 550932480 551362896 553622580 560114688 562410240 562849623 571783744 578479104 580849920 590069760 590530752 599904256 600122880 612625440 619573248 625388470 630129024 632711520 640131072 642754560 643256712 653467136 656145280 661118976 663828480 674892288 685854720 688414720 689203620 700143360 714729680 720147456 723098880 734576640 735150528 738163440 746819584 749880320 750466164 758661120 771305472 774466560 787374336 787661280 800163840 804070890 816833920 823025664 826097664 826398720 840172032 843615360 857006080 857675616 885104640 885796128 899856384 900184320 914472960 918938160 929359872 933524480 938082705 944455680 960196608 964131840 964885068 980200704 984217920 1000621552 1012338432 1028407296 1028782080 1032622080 1049832448 1050215040 1062125568 1066885120 1072094520 1101864960 1102725792 1107245160 1120229376 1124820480 1125699246 1143567488 1156958208 1161699840 1181061504 1199808512 1200245760 1206106335 1225250880 1239146496 1250776940 1260258048 1265423040 1280262144 1285509120 1286513424 1306934272 1312290560 1322237952 1327656960 1349784576 1371709440 1376829440 1378407240 1400286720 1429459360 1440294912 1446197760 1470301056 1476326880 1493639168 1499760640 1500932328 1542610944 1548933120 1574748672 1575322560 1600327680 1608141780 1633667840 1646051328 1652797440 1680344064 1687230720 1688548869 1714012160 1715351232 1770209280 1771592256 1799712768 1800368640 1837876320 1858719744 1867048960 1876165410 1920393216 1928263680 1929770136 1960401408 1968435840 2001243104 2024676864 2057564160 2065244160 2099664896 2100430080 2133770240 2144189040 2203729920 2205451584 2214490320 2240458752 2249640960 2251398492 2287134976 2313916416 2323399680 2362123008 2399617024 2400491520 2412212670 2450501760 2478292992 2501553880 2520516096 2530846080 2571018240 2573026848 2613868544 2624581120 2655313920 2699569152 2743418880 2756814480 2800573440 2814248115 2858918720 2880589824 2892395520 2940602112 2952653760 2987278336 2999521280 3001864656 3085221888 3097866240 3149497344 3150645120 3200655360 3216283560 3267335680 3305594880 3360688128 3374461440 3377097738 3430702464 3543184512 3599425536 3600737280 3675752640 3717439488 3734097920 3752330820 3840786432 3856527360 3859540272 3920802816 3936871680 4002486208 4049353728 4115128320 4130488320 4199329792 4200860160 4288378080 4410903168 4428980640 4480917504 4499281920 4502796984 4574269952 4627832832 4646799360 4724246016 4800983040 4824425340 4901003520 5003107760 5041032192 5061692160 5142036480 5146053696 5227737088 5249162240 5310627840 5399138304 5513628960 5601146880 5628496230 5717837440 5761179648 5784791040 5881204224 5905307520 5999042560 6003729312 6195732480 6298994688 6301290240 6401310720 6432567120 6534671360 6611189760 6721376256 6748922880 6754195476 6861404928 7086369024 7198851072 7201474560 7351505280 7434878976 7468195840 7504661640 7713054720 7719080544 7841605632 7873743360 8004972416 8098707456 8230256640 8398659584 8401720320 8442744345 8576756160 8821806336 8857961280 8961835008 8998563840 9005593968 9148539904 9255665664 9293598720 9448492032 9601966080 9648850680 9802007040 10006215520 10082064384 10123384320 10292107392 10455474176 10498324480 10798276608 11027257920 11202293760 11256992460 11435674880 11522359296 11569582080 11762408448 11810615040 11998085120 12007458624 12391464960 12597989376 12602580480 12865134240 13069342720 13442752512 13497845760 13508390952 13722809856 14172738048 14402949120 14703010560 14936391680 15009323280 15426109440 15438161088 15683211264 15747486720 16009944832 16197414912 16797319168 16803440640 16885488690 17153512320 17643612672 17715922560 17997127680 18011187936 18297079808 18587197440 18896984064 19203932160 19297701360 19604014080 20012431040 20164128768 20246768640 20584214784 20910948352 20996648960 21596553216 22054515840 22404587520 22513984920 22871349760 23139164160 23524816896 23621230080 24014917248 25195978752 25205160960 25730268480 26138685440 26885505024 26995691520 27016781904 27445619712 28345476096 28805898240 29406021120 30018646560 30876322176 31366422528 31494973440 32019889664 32394829824 33606881280 33770977380 34307024640 35287225344 35431845120 35994255360 36022375872 36594159616 37174394880 37793968128 38595402720 39208028160 40024862080 40328257536 40493537280 41168429568 41993297920 44109031680 44809175040 45027969840 45742699520 46278328320 47049633792 47242460160 48029834496 50391957504 50410321920 51460536960 52277370880 53991383040 54033563808 54891239424 56690952192 57611796480 58812042240 60037293120 61752644352 62732845056 62989946880 64039779328 64789659648 67213762560 67541954760 68614049280 70574450688 70863690240 72044751744 73188319232 75587936256 77190805440 78416056320 80049724160 80656515072 80987074560 82336859136 83986595840 88218063360 90055939680 91485399040 94099267584 94484920320 96059668992 100820643840 102921073920 104554741760 107982766080 108067127616 109782478848 113381904384 117624084480 120074586240 123505288704 125979893760 128079558656 134427525120 135083909520 137228098560 141148901376 141727380480 144089503488 146376638464 151175872512 154381610880 156832112640 160099448320 161974149120 164673718272 176436126720 180111879360 182970798080 188198535168 188969840640 192119337984 201641287680 205842147840 216134255232 219564957696 226763808768 235248168960 240149172480 247010577408 251959787520 256159117312 270167819040 274456197120 282297802752 283454760960 288179006976 308763221760 313664225280 320198896640 323948298240 329347436544 352872253440 360223758720 365941596160 377939681280 384238675968 403282575360 411684295680 432268510464 439129915392 453527617536 470496337920 480298344960 494021154816 512318234624 540335638080 548912394240 564595605504 566909521920 576358013952 617526443520 640397793280 658694873088 705744506880 720447517440 731883192320 755879362560 768477351936 823368591360 864537020928 940992675840 960596689920 988042309632 1024636469248 1080671276160 1097824788480 1133819043840 1152716027904 1235052887040 1280795586560 1317389746176 1411489013760 1440895034880 1536954703872 1646737182720 1729074041856 1921193379840 1976084619264 2161342552320 2195649576960 2267638087680 2305432055808 2470105774080 2561591173120 2822978027520 2881790069760 3073909407744 3293474365440 3458148083712 3842386759680 3952169238528 4322685104640 4610864111616 4940211548160 5123182346240 5763580139520 6586948730880 6916296167424 7684773519360 8645370209280 9221728223232 9880423096320 11527160279040 13832592334848 15369547038720 17290740418560 19760846192640 23054320558080 27665184669696 34581480837120 46108641116160 69162961674240 138325923348480
- Sum of all divisors σ(n): 583334365461120
- Sum of proper divisors (its aliquot sum) s(n): 445008442112640
- 138325923348480 is an abundant number, because the sum of its proper divisors (445008442112640) is greater than itself. Its abundance is 306682518764160
Bases of 138325923348480
- Binary: 111110111001110100000111000011001000000000000002
- Hexadecimal: 0x7DCE83864000
- Base-36: 1D161VAIO0
Squares and roots of 138325923348480
- 138325923348480 squared (1383259233484802) is 19134061070209564415518310400
- 138325923348480 cubed (1383259233484803) is 2646736664942943402951154817000320008192000
-
The
square root of 138325923348480 is 11761204.1623500439 -
The
cube root of 138325923348480 is 51717.1430875455
Scales and comparisons
How big is 138325923348480?- 138,325,923,348,480 seconds is equal to 4,398,336 years, 25 weeks, 4 days, 4 hours, 48 minutes.
-
To count from 1 to 138,325,923,348,480 would take you about ten million, nine hundred ninety-five thousand, eight hundred forty-one 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 138325923348480 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138325923348480
- 138325923348480 backwards is 084843329523831
- 138325923348480 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138325923348480's digits is 63
- More coming soon!
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"Number 138325923348480 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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The information we have on file for 138325923348480 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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