42638748945408
42,638,748,945,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 42638748945408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1232 divisors.
42638748945408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred thirty-two divisors.
Prime factorization of 42638748945408:
210 × 36 × 7 × 11 × 31 × 23929
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 31 × 23929)See below for interesting mathematical facts about the number 42638748945408 from the Numbermatics database.
Names of 42638748945408
- Cardinal: 42638748945408 can be written as Forty-two trillion, six hundred thirty-eight billion, seven hundred forty-eight million, nine hundred forty-five thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.2638748945408 × 1013
Factors of 42638748945408
Divisors of 42638748945408
- Number of divisors d(n): 1232
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 31 32 33 36 42 44 48 54 56 62 63 64 66 72 77 81 84 88 93 96 99 108 112 124 126 128 132 144 154 162 168 176 186 189 192 198 216 217 224 231 243 248 252 256 264 279 288 297 308 324 336 341 352 372 378 384 396 432 434 448 462 486 496 504 512 528 558 567 576 594 616 648 651 672 682 693 704 729 744 756 768 792 837 864 868 891 896 924 972 992 1008 1023 1024 1056 1116 1134 1152 1188 1232 1296 1302 1344 1364 1386 1408 1458 1488 1512 1536 1584 1674 1701 1728 1736 1782 1792 1848 1944 1953 1984 2016 2046 2079 2112 2232 2268 2304 2376 2387 2464 2511 2592 2604 2673 2688 2728 2772 2816 2916 2976 3024 3069 3072 3168 3348 3402 3456 3472 3564 3584 3696 3888 3906 3968 4032 4092 4158 4224 4464 4536 4608 4752 4774 4928 5022 5103 5184 5208 5346 5376 5456 5544 5632 5832 5859 5952 6048 6138 6237 6336 6696 6804 6912 6944 7128 7161 7168 7392 7533 7776 7812 7936 8019 8064 8184 8316 8448 8928 9072 9207 9216 9504 9548 9856 10044 10206 10368 10416 10692 10752 10912 11088 11264 11664 11718 11904 12096 12276 12474 12672 13392 13608 13824 13888 14256 14322 14784 15066 15552 15624 15872 16038 16128 16368 16632 16896 17577 17856 18144 18414 18711 19008 19096 19712 20088 20412 20736 20832 21384 21483 21504 21824 22176 22599 23328 23436 23808 23929 24192 24552 24948 25344 26784 27216 27621 27648 27776 28512 28644 29568 30132 31104 31248 31744 32076 32256 32736 33264 33792 35154 35712 36288 36828 37422 38016 38192 39424 40176 40824 41472 41664 42768 42966 43648 44352 45198 46656 46872 47616 47858 48384 49104 49896 50688 52731 53568 54432 55242 55552 56133 57024 57288 59136 60264 62208 62496 64152 64449 64512 65472 66528 70308 71424 71787 72576 73656 74844 76032 76384 78848 80352 81648 82863 82944 83328 85536 85932 87296 88704 90396 93312 93744 95232 95716 96768 98208 99792 101376 105462 107136 108864 110484 111104 112266 114048 114576 118272 120528 124416 124992 128304 128898 130944 133056 140616 142848 143574 145152 147312 149688 152064 152768 158193 160704 163296 165726 166656 167503 171072 171864 174592 177408 180792 186624 187488 191432 193347 193536 196416 199584 210924 214272 215361 217728 220968 222208 224532 228096 229152 236544 241056 248589 248832 249984 256608 257796 261888 263219 266112 281232 285696 287148 290304 294624 299376 304128 305536 316386 321408 326592 331452 333312 335006 342144 343728 349184 354816 361584 373248 374976 382864 386694 392832 399168 421848 428544 430722 435456 441936 449064 456192 458304 482112 497178 499968 502509 513216 515592 523776 526438 532224 562464 574296 580041 580608 589248 598752 611072 632772 642816 646083 653184 662904 666624 670012 684288 687456 709632 723168 741799 746496 749952 765728 773388 785664 789657 798336 843696 857088 861444 870912 883872 898128 912384 916608 964224 994356 999936 1005018 1026432 1031184 1047552 1052876 1064448 1124928 1148592 1160082 1178496 1197504 1222144 1265544 1285632 1292166 1306368 1325808 1340024 1368576 1374912 1446336 1483598 1499904 1507527 1531456 1546776 1571328 1579314 1596672 1687392 1722888 1740123 1741824 1767744 1796256 1833216 1842533 1928448 1938249 1988712 1999872 2010036 2052864 2062368 2105752 2128896 2225397 2249856 2297184 2320164 2356992 2368971 2395008 2444288 2531088 2571264 2584332 2612736 2651616 2680048 2737152 2749824 2892672 2967196 2999808 3015054 3062912 3093552 3142656 3158628 3193344 3374784 3445776 3480246 3535488 3592512 3666432 3685066 3856896 3876498 3977424 4020072 4105728 4124736 4211504 4450794 4499712 4522581 4594368 4640328 4713984 4737942 4790016 5062176 5168664 5192593 5225472 5303232 5360096 5499648 5527599 5785344 5814747 5934392 5999616 6030108 6125824 6187104 6317256 6386688 6676191 6749568 6891552 6960492 7070976 7106913 7185024 7332864 7370132 7713792 7752996 7954848 8040144 8159789 8211456 8249472 8423008 8901588 8999424 9045162 9188736 9280656 9427968 9475884 9580032 10124352 10337328 10385186 10606464 10720192 10999296 11055198 11570688 11629494 11868784 12060216 12251648 12374208 12634512 13352382 13499136 13567743 13783104 13920984 14141952 14213826 14370048 14740264 15505992 15577779 15909696 16080288 16319578 16498944 16582797 16846016 17444241 17803176 17998848 18090324 18377472 18561312 18951768 19160064 20028573 20248704 20674656 20770372 21212928 21320739 21440384 21998592 22110396 23141376 23258988 23737568 24120432 24479367 24503296 24748416 25269024 26704764 26998272 27135486 27566208 27841968 28283904 28427652 28740096 29480528 31011984 31155558 31819392 32160576 32639156 32997888 33165594 33692032 34888482 35606352 36180648 36754944 37122624 37903536 40057146 40497408 40703229 41349312 41540744 42425856 42641478 42880768 44220792 46517976 46733337 47475136 48240864 48958734 49496832 49748391 50538048 53409528 53996544 54270972 55132416 55683936 56855304 57118523 57480192 58961056 60085719 62023968 62311116 63638784 63962217 64321152 65278312 65995776 66331188 67384064 69776964 71212704 72361296 73438101 73509888 74245248 75807072 80114292 80994816 81406458 82698624 83081488 84851712 85282956 85761536 88441584 93035952 93466674 94950272 96481728 97917468 98993664 99496782 101076096 106819056 108541944 110264832 111367872 113710608 114237046 117922112 120171438 122109687 124047936 124622232 127277568 127924434 128642304 130556624 132662376 134768128 139553928 140200011 142425408 144722592 146876202 148490496 149245173 151614144 160228584 161989632 162812916 165397248 166162976 170565912 171355569 171523072 176883168 180257157 186071904 186933348 189900544 191886651 192963456 195834936 197987328 198993564 202152192 213638112 217083888 220314303 220529664 222735744 227421216 228474092 235844224 240342876 244219374 248095872 249244464 254555136 255848868 257284608 261113248 265324752 269536256 279107856 280400022 284850816 289445184 293752404 296980992 298490346 303228288 320457168 325625832 330794496 332325952 341131824 342711138 353766336 360514314 372143808 373866696 379801088 383773302 385926912 391669872 397987128 404304384 420600033 427276224 434167776 440628606 445471488 447735519 454842432 456948184 471688448 480685752 488438748 496191744 498488928 511697736 514066707 514569216 522226496 530649504 540771471 558215712 560800044 569701632 578890368 587504808 593961984 596980692 606456576 640914336 651251664 660942909 661588992 664651904 682263648 685422276 707532672 721028628 744287616 747733392 759602176 767546604 771853824 783339744 795974256 808608768 841200066 854552448 868335552 881257212 890942976 895471038 909684864 913896368 943376896 961371504 976877496 992383488 996977856 1023395472 1028133414 1044452992 1061299008 1081542942 1116431424 1121600088 1139403264 1157780736 1175009616 1193961384 1212913152 1261800099 1281828672 1302503328 1321885818 1329303808 1343206557 1364527296 1370844552 1415065344 1442057256 1488575232 1495466784 1535093208 1542200121 1543707648 1566679488 1591948512 1682400132 1709104896 1736671104 1762514424 1781885952 1790942076 1819369728 1827792736 1886753792 1922743008 1953754992 1982828727 1984766976 1993955712 2046790944 2056266828 2088905984 2122598016 2163085884 2232862848 2243200176 2278806528 2315561472 2350019232 2387922768 2425826304 2523600198 2563657344 2605006656 2643771636 2658607616 2686413114 2729054592 2741689104 2830130688 2884114512 2977150464 2990933568 3070186416 3084400242 3133358976 3183897024 3364800264 3418209792 3473342208 3525028848 3581884152 3638739456 3655585472 3785400297 3845486016 3907509984 3965657454 3987911424 4093581888 4112533656 4177811968 4245196032 4326171768 4465725696 4486400352 4626600363 4631122944 4700038464 4775845536 5047200396 5127314688 5210013312 5287543272 5317215232 5372826228 5458109184 5483378208 5660261376 5768229024 5948486181 5954300928 5981867136 6140372832 6168800484 6266717952 6367794048 6729600528 6836419584 6946684416 7050057696 7163768304 7277478912 7311170944 7570800594 7690972032 7815019968 7931314908 7975822848 8187163776 8225067312 8355623936 8490392064 8652343536 8931451392 8972800704 9253200726 9400076928 9551691072 10094400792 10254629376 10420026624 10575086544 10745652456 10916218368 10966756416 11536458048 11896972362 11963734272 12280745664 12337600968 12533435904 12735588096 13459201056 13879801089 13893368832 14100115392 14327536608 14622341888 15141601188 15381944064 15630039936 15862629816 15951645696 16374327552 16450134624 16980784128 17304687072 17862902784 17945601408 18506401452 18800153856 19103382144 20188801584 20509258752 20840053248 21150173088 21491304912 21832436736 21933512832 23072916096 23793944724 23927468544 24561491328 24675201936 25066871808 25471176192 26918402112 27759602178 28200230784 28655073216 29244683776 30283202376 30763888128 31260079872 31725259632 32748655104 32900269248 34609374144 35891202816 37012802904 37600307712 38206764288 40377603168 41639403267 41680106496 42300346176 42982609824 43867025664 46145832192 47587889448 47854937088 49122982656 49350403872 50942352384 53836804224 55519204356 56400461568 57310146432 58489367552 60566404752 61527776256 62520159744 63450519264 65497310208 65800538496 69218748288 71782405632 74025605808 75200615424 76413528576 80755206336 83278806534 84600692352 85965219648 87734051328 92291664384 95175778896 98245965312 98700807744 107673608448 111038408712 112800923136 114620292864 121132809504 125040319488 126901038528 131601076992 138437496576 143564811264 148051211616 152827057152 161510412672 166557613068 169201384704 171930439296 175468102656 184583328768 190351557792 196491930624 197401615488 215347216896 222076817424 225601846272 229240585728 242265619008 253802077056 263202153984 276874993152 296102423232 323020825344 333115226136 338402769408 343860878592 380703115584 394803230976 430694433792 444153634848 458481171456 484531238016 507604154112 526404307968 553749986304 592204846464 646041650688 666230452272 676805538816 687721757184 761406231168 789606461952 888307269696 969062476032 1015208308224 1184409692928 1292083301376 1332460904544 1375443514368 1522812462336 1579212923904 1776614539392 1938124952064 2030416616448 2368819385856 2664921809088 3045624924672 3553229078784 3876249904128 4737638771712 5329843618176 6091249849344 7106458157568 10659687236352 14212916315136 21319374472704 42638748945408
- Sum of all divisors σ(n): 164475764828160
- Sum of proper divisors (its aliquot sum) s(n): 121837015882752
- 42638748945408 is an abundant number, because the sum of its proper divisors (121837015882752) is greater than itself. Its abundance is 79198266937344
Bases of 42638748945408
- Binary: 10011011000111100110110111110000001100000000002
- Hexadecimal: 0x26C79B7C0C00
- Base-36: F43YY8000
Squares and roots of 42638748945408
- 42638748945408 squared (426387489454082) is 1818062911629531832164286464
- 42638748945408 cubed (426387489454083) is 77519928055929098307483735521080809357312
-
The
square root of 42638748945408 is 6529835.2923644253 -
The
cube root of 42638748945408 is 34935.5955590999
Scales and comparisons
How big is 42638748945408?- 42,638,748,945,408 seconds is equal to 1,355,780 years, 16 weeks, 6 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 42,638,748,945,408 would take you about three million, three hundred eighty-nine thousand, four hundred fifty 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 42638748945408 cubic inches would be around 2911.3 feet tall.
Recreational maths with 42638748945408
- 42638748945408 backwards is 80454984783624
- 42638748945408 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42638748945408's digits is 72
- More coming soon!
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The information we have on file for 42638748945408 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!
Keywords: Divisors of 42638748945408, math, Factors of 42638748945408, curriculum, school, college, exams, university, Prime factorization of 42638748945408, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred thirty-eight billion, seven hundred forty-eight million, nine hundred forty-five thousand, four hundred eight.