138135426618431424
138,135,426,618,431,424 is an even composite number composed of eight prime numbers multiplied together.
138135426618431424 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138135426618431424:
26 × 3 × 7 × 13 × 47 × 547 × 1723 × 178481
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 47 × 547 × 1723 × 178481)See below for interesting mathematical facts about the number 138135426618431424 from the Numbermatics database.
Names of 138135426618431424
- Cardinal: 138135426618431424 can be written as One hundred thirty-eight quadrillion, one hundred thirty-five trillion, four hundred twenty-six billion, six hundred eighteen million, four hundred thirty-one thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38135426618431424 × 1017
Factors of 138135426618431424
Divisors of 138135426618431424
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 47 48 52 56 64 78 84 91 94 96 104 112 141 156 168 182 188 192 208 224 273 282 312 329 336 364 376 416 448 546 547 564 611 624 658 672 728 752 832 987 1092 1094 1128 1222 1248 1316 1344 1456 1504 1641 1723 1833 1974 2184 2188 2256 2444 2496 2632 2912 3008 3282 3446 3666 3829 3948 4277 4368 4376 4512 4888 5169 5264 5824 6564 6892 7111 7332 7658 7896 8554 8736 8752 9024 9776 10338 10528 11487 12061 12831 13128 13784 14222 14664 15316 15792 17108 17472 17504 19552 20676 21056 21333 22399 22974 24122 25662 25709 26256 27568 28444 29328 30632 31584 34216 35008 36183 39104 41352 42666 44798 45948 48244 49777 51324 51418 52512 55136 56888 58656 61264 63168 67197 68432 72366 77127 80981 82704 85332 89596 91896 96488 99554 102648 102836 105024 110272 113776 117312 122528 134394 136864 144732 149331 154254 156793 161962 165408 170664 178481 179192 179963 183792 192976 199108 205296 205672 227552 242943 245056 268788 273728 289464 298662 308508 313586 323924 330816 334217 341328 356962 358384 359926 367584 385952 398216 410592 411344 455104 470379 485886 535443 537576 539889 566867 578928 597324 617016 627172 647848 668434 682656 713924 716768 719852 735168 771904 796432 821184 822688 940758 942481 971772 1002651 1052753 1070886 1075152 1079778 1133734 1157856 1194648 1234032 1249367 1254344 1295696 1336868 1365312 1427848 1433536 1439704 1592864 1645376 1700601 1881516 1884962 1943544 2005302 2105506 2141772 2150304 2159556 2267468 2315712 2320253 2339519 2389296 2468064 2498734 2508688 2591392 2673736 2827443 2855696 2879408 3158259 3185728 3401202 3748101 3763032 3769924 3887088 4010604 4211012 4283544 4300608 4319112 4534936 4640506 4679038 4778592 4936128 4997468 5017376 5182784 5347472 5654886 5711392 5758816 6316518 6597367 6802404 6960759 7018557 7369271 7496202 7526064 7539848 7774176 8021208 8388607 8422024 8567088 8638224 9069872 9281012 9358076 9557184 9994936 10034752 10694944 11309772 11422784 11517632 12252253 12633036 13194734 13604808 13921518 14037114 14738542 14992404 15052128 15079696 15548352 16042416 16241771 16777214 16844048 17134176 17276448 18139744 18562024 18716152 19792101 19989872 21389888 22107813 22619544 24504506 25165821 25266072 26389468 27209616 27843036 28074228 29477084 29984808 30104256 30159392 32084832 32483542 33554428 33688096 34268352 34552896 36279488 36756759 37124048 37432304 39584202 39979744 44215626 44296607 45239088 48725313 49009012 50331642 50532144 52778936 54419232 55686072 56148456 58720249 58954168 59969616 60318784 64169664 64967084 67108856 67376192 73513518 74248096 74864608 79168404 79959488 85765771 88431252 88593214 90478176 97450626 97629107 98018024 100663284 101064288 105557872 108838464 109051891 111372144 112296912 117440498 117908336 119939232 129934168 132889821 134217712 147027036 148496192 149729216 158336808 171531542 176160747 176862504 177186428 180956352 194901252 195258214 196036048 201326568 202128576 211115744 218103782 222744288 224593824 234880996 235816672 239878464 257297313 259868336 265779642 268435424 292887321 294054072 307522763 310076249 316673616 327155673 343063084 352321494 353725008 354372856 389802504 390516428 392072096 402653136 422231488 436207564 445488576 449187648 469761992 471633344 514594626 519736672 531559284 536870848 575855891 585774642 588108144 615045526 620152498 633347232 654311346 683403749 686126168 704642988 707450016 708745712 763363237 779605008 781032856 784144192 805306272 872415128 922568289 930228747 939523984 1029189252 1039473344 1063118568 1151711782 1171549284 1176216288 1230091052 1240304996 1266694464 1269178391 1308622692 1366807498 1372252336 1409285976 1414900032 1417491424 1526726474 1559210016 1562065712 1610612544 1727567673 1744830256 1845136578 1860457494 1879047968 2050211247 2058378504 2126237136 2152659341 2290089711 2303423564 2343098568 2352432576 2460182104 2480609992 2538356782 2617245384 2733614996 2744504672 2818571952 2834982848 3053452948 3118420032 3124131424 3455135346 3489660512 3690273156 3720914988 3758095936 3807535173 3997795919 4030991237 4100422494 4116757008 4252474272 4305318682 4580179422 4588568029 4606847128 4686197136 4920364208 4961219984 5076713564 5234490768 5467229992 5489009344 5637143904 6106905896 6248262848 6457978023 6910270692 6979321024 7380546312 7441829976 7615070346 7995591838 8061982474 8200844988 8233514016 8504948544 8610637364 8884248737 9160358844 9177136058 9213694256 9372394272 9840728416 9922439968 10153427128 10468981536 10934459984 11274287808 11993387757 12092973711 12213811792 12915956046 13765704087 13820541384 14453569861 14761092624 14883659952 15230140692 15991183676 16123964948 16401689976 16467028032 17221274728 17768497474 18320717688 18354272116 18427388512 18744788544 19681456832 19844879936 20306854256 20937963072 21868919968 23986775514 24185947422 24427623584 25831912092 26652746211 27531408174 27641082768 27984571433 28907139722 29522185248 29767319904 30460281384 31982367352 32119976203 32247929896 32803379952 34442549456 35536994948 36641435376 36708544232 36854777024 40613708512 43360709583 43737839936 47973551028 48371894844 48855247168 51663824184 53305492422 55062816348 55282165536 55969142866 57814279444 59044370496 59534639808 59651384377 60920562768 63964734704 64239952406 64495859792 65606759904 68885098912 71073989896 73282870752 73417088464 81227417024 83953714299 86721419166 95947102056 96359928609 96743789688 101174989027 103327648368 106610984844 110125632696 110564331072 111938285732 115628558888 119302768754 121841125536 127929469408 128479904812 128991719584 131213519808 137770197824 142147979792 146565741504 146834176928 167907428598 168214951361 173442838332 178954153131 187896408193 191894204112 192719857218 193487579376 202349978054 206655296736 213221969688 220251265392 223876571464 231257117776 238605537508 243682251072 255858938816 256959809624 257983439168 284295959584 293668353856 303524967081 335814857196 336429902722 346885676664 357908306262 375792816386 383788408224 385439714436 386975158752 404699956108 413310593472 417559690639 426443939376 440502530784 447753142928 462514235552 477211075016 504644854083 513919619248 563689224579 568591919168 607049934162 671629714392 672859805444 693771353328 715816612524 751585632772 767576816448 770879428872 773950317504 809399912216 835119381278 852887878752 881005061568 895506285856 925028471104 954422150032 1009289708166 1027839238496 1127378449158 1177504659527 1214099868324 1252679071917 1315274857351 1343259428784 1345719610888 1387542706656 1431633225048 1503171265544 1541758857744 1618799824432 1670238762556 1705775757504 1791012571712 1908844300064 2018579416332 2055678476992 2186794367693 2254756898316 2355009319054 2428199736648 2505358143834 2630549714702 2686518857568 2691439221776 2775085413312 2863266450096 3006342531088 3083517715488 3237599648864 3340477525112 3532513978581 3817688600128 3945824572053 4037158832664 4373588735386 4509513796632 4710018638108 4856399473296 5010716287668 5261099429404 5373037715136 5382878443552 5726532900192 6012685062176 6167035430976 6475199297728 6560383103079 6680955050224 7065027957162 7891649144106 7906102713967 8074317665328 8747177470772 9019027593264 9420037276216 9712798946592 10021432575336 10522198858808 10765756887104 11453065800384 12025370124352 13120766206158 13361910100448 14130055914324 15307560573851 15783298288212 15812205427934 16148635330656 17494354941544 18038055186528 18840074552432 19425597893184 20042865150672 21044397717616 23718308141901 26241532412316 26723820200896 28260111828648 30615121147702 31566596576424 31624410855868 32297270661312 34988709883088 36076110373056 37680149104864 40085730301344 42088795435232 45922681721553 47436616283802 52483064824632 55342718997769 56520223657296 61230242295404 63133193152848 63248821711736 69977419766176 75360298209728 80171460602688 84177590870464 91845363443106 94873232567604 102779335281571 104966129649264 110685437995538 113040447314592 122460484590808 126266386305696 126497643423472 139954839532352 166028156993307 183690726886212 189746465135208 205558670563142 209932259298528 221370875991076 226080894629184 244920969181616 252532772611392 252995286846944 308338005844713 332056313986614 367381453772424 379492930270416 411117341126284 419864518597056 442741751982152 489841938363232 505990573693888 616676011689426 664112627973228 719455346970997 734762907544848 758985860540832 822234682252568 885483503964304 979683876726464 1233352023378852 1328225255946456 1438910693941994 1469525815089696 1517971721081664 1644469364505136 1770967007928608 2158366040912991 2466704046757704 2656450511892912 2877821387883988 2939051630179392 3288938729010272 3541934015857216 4316732081825982 4933408093515408 5312901023785824 5755642775767976 6577877458020544 8633464163651964 9866816187030816 10625802047571648 11511285551535952 17266928327303928 19733632374061632 23022571103071904 34533856654607856 46045142206143808 69067713309215712 138135426618431424
- Sum of all divisors σ(n): 460505918442995712
- Sum of proper divisors (its aliquot sum) s(n): 322370491824564288
- 138135426618431424 is an abundant number, because the sum of its proper divisors (322370491824564288) is greater than itself. Its abundance is 184235065206132864
Bases of 138135426618431424
- Binary: 1111010101100000101110000010010100111110100010111110000002
- Hexadecimal: 0x1EAC1704A7D17C0
- Base-36: 11S4X6XLL8LC
Squares and roots of 138135426618431424
- 138135426618431424 squared (1381354266184314242) is 19081396087056052794510674190667776
- 138135426618431424 cubed (1381354266184314243) is 2635816788960755892674325138403514085167296222593024
-
The
square root of 138135426618431424 is 371665745.8233559409 -
The
cube root of 138135426618431424 is 516933.9127869047
Scales and comparisons
How big is 138135426618431424?- 138,135,426,618,431,424 seconds is equal to 4,392,279,285 years, 27 weeks, 6 days, 13 hours, 10 minutes, 24 seconds.
-
To count from 1 to 138,135,426,618,431,424 would take you about thirteen billion, one hundred seventy-six million, eight hundred thirty-seven thousand, eight hundred fifty-six 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 138135426618431424 cubic inches would be around 43077.8 feet tall.
Recreational maths with 138135426618431424
- 138135426618431424 backwards is 424134816624531831
- The number of decimal digits it has is: 18
- The sum of 138135426618431424's digits is 66
- More coming soon!
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The information we have on file for 138135426618431424 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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