342134406321120
342,134,406,321,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 342134406321120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
342134406321120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 342134406321120:
25 × 39 × 5 × 72 × 14892
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 1489 × 1489)See below for interesting mathematical facts about the number 342134406321120 from the Numbermatics database.
Names of 342134406321120
- Cardinal: 342134406321120 can be written as Three hundred forty-two trillion, one hundred thirty-four billion, four hundred six million, three hundred twenty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.4213440632112 × 1014
Factors of 342134406321120
Divisors of 342134406321120
- Number of divisors d(n): 1080
-
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 63 70 72 80 81 84 90 96 98 105 108 112 120 126 135 140 144 147 160 162 168 180 189 196 210 216 224 240 243 245 252 270 280 288 294 315 324 336 360 378 392 405 420 432 441 480 486 490 504 540 560 567 588 630 648 672 720 729 735 756 784 810 840 864 882 945 972 980 1008 1080 1120 1134 1176 1215 1260 1296 1323 1440 1458 1470 1489 1512 1568 1620 1680 1701 1764 1890 1944 1960 2016 2160 2187 2205 2268 2352 2430 2520 2592 2646 2835 2916 2940 2978 3024 3240 3360 3402 3528 3645 3780 3888 3920 3969 4320 4374 4410 4467 4536 4704 4860 5040 5103 5292 5670 5832 5880 5956 6048 6480 6561 6615 6804 7056 7290 7445 7560 7776 7840 7938 8505 8748 8820 8934 9072 9720 10080 10206 10423 10584 10935 11340 11664 11760 11907 11912 12960 13122 13230 13401 13608 14112 14580 14890 15120 15309 15876 17010 17496 17640 17868 18144 19440 19683 19845 20412 20846 21168 21870 22335 22680 23328 23520 23814 23824 25515 26244 26460 26802 27216 29160 29780 30240 30618 31269 31752 32805 34020 34992 35280 35721 35736 38880 39366 39690 40203 40824 41692 42336 43740 44670 45360 45927 47628 47648 51030 52115 52488 52920 53604 54432 58320 59535 59560 61236 62538 63504 65610 67005 68040 69984 70560 71442 71472 72961 76545 78732 79380 80406 81648 83384 87480 89340 90720 91854 93807 95256 98415 102060 104230 104976 105840 107163 107208 116640 119070 119120 120609 122472 125076 127008 131220 134010 136080 137781 142884 142944 145922 153090 156345 157464 158760 160812 163296 166768 174960 178605 178680 183708 187614 190512 196830 201015 204120 208460 209952 211680 214326 214416 218883 229635 238140 238240 241218 244944 250152 262440 268020 272160 275562 281421 285768 291844 306180 312690 314928 317520 321489 321624 333536 349920 357210 357360 361827 364805 367416 375228 381024 393660 402030 408240 416920 428652 428832 437766 459270 469035 476280 482436 489888 500304 524880 535815 536040 551124 562842 571536 583688 603045 612360 625380 629856 635040 642978 643248 656649 688905 714420 714720 723654 729610 734832 750456 787320 804060 816480 833840 844263 857304 875532 918540 938070 952560 964467 964872 1000608 1049760 1071630 1072080 1085481 1094415 1102248 1125684 1143072 1167376 1206090 1224720 1250760 1285956 1286496 1313298 1377810 1407105 1428840 1447308 1459220 1469664 1500912 1574640 1607445 1608120 1667680 1688526 1714608 1751064 1809135 1837080 1876140 1905120 1928934 1929744 1969947 2143260 2144160 2170962 2188830 2204496 2217121 2251368 2334752 2412180 2449440 2501520 2532789 2571912 2626596 2755620 2814210 2857680 2894616 2918440 3001824 3149280 3214890 3216240 3256443 3283245 3377052 3429216 3502128 3618270 3674160 3752280 3857868 3859488 3939894 4221315 4286520 4341924 4377660 4408992 4434242 4502736 4822335 4824360 5003040 5065578 5143824 5253192 5427405 5511240 5628420 5715360 5789232 5836880 5909841 6429780 6432480 6512886 6566490 6651363 6754104 7004256 7236540 7348320 7504560 7598367 7715736 7879788 8442630 8573040 8683848 8755320 8868484 9005472 9644670 9648720 9769329 9849735 10131156 10287648 10506384 10854810 11022480 11085605 11256840 11578464 11673760 11819682 12663945 12859560 13025772 13132980 13302726 13508208 14473080 15009120 15196734 15431472 15519847 15759576 16282215 16885260 17146080 17367696 17510640 17729523 17736968 19289340 19297440 19538658 19699470 19954089 20262312 21012768 21709620 22044960 22171210 22513680 22795101 23639364 25327890 25719120 26051544 26265960 26605452 27016416 28946160 29307987 29549205 30393468 30862944 31039694 31519152 32564430 33256815 33770520 34735392 35021280 35459046 35473936 37991835 38578680 39077316 39398940 39908178 40524624 43419240 44342420 45027360 45590202 46559541 47278728 48846645 50655780 51438240 52103088 52531920 53188569 53210904 57892320 58615974 59098410 59862267 60786936 62079388 63038304 65128860 66513630 67541040 68385303 70918092 70947872 75983670 77157360 77599235 78154632 78797880 79816356 81049248 86838480 88647615 88684840 91180404 93119082 94557456 97693290 99770445 101311560 104206176 105063840 106377138 106421808 108638929 113975505 117231948 118196820 119724534 121573872 124158776 130257720 133027260 135082080 136770606 139678623 141836184 146539935 151967340 154314720 155198470 156309264 157595760 159565707 159632712 173676960 177295230 177369680 179586801 182360808 186238164 189114912 195386580 199540890 202623120 205155909 212754276 212843616 217277858 227951010 232797705 234463896 236393640 239449068 243147744 248317552 260515440 265942845 266054520 273541212 279357246 283672368 293079870 299311335 303934680 310396940 312618528 315191520 319131414 319265424 325916787 341926515 354590460 354739360 359173602 364721616 372476328 390773160 399081780 405246240 410311818 419035869 425508552 434555716 455902020 465595410 468927792 472787280 478697121 478898136 496635104 521030880 531885690 532109040 538760403 543194645 547082424 558714492 567344736 586159740 598622670 607869360 620793880 638262828 638530848 651833574 683853030 698393115 709180920 718347204 729443232 744952656 781546320 797828535 798163560 820623636 838071738 851017104 869111432 897934005 911804040 931190820 937855584 945574560 957394242 957796272 977750361 1025779545 1063771380 1064218080 1077520806 1086389290 1094164848 1117428984 1172319480 1197245340 1215738720 1241587760 1257107607 1276525656 1303667148 1367706060 1396786230 1418361840 1436091363 1436694408 1489905312 1563092640 1595657070 1596327120 1616281209 1629583935 1641247272 1676143476 1702034208 1738222864 1795868010 1823608080 1862381640 1914788484 1915592544 1955500722 2051559090 2095179345 2127542760 2155041612 2172778580 2188329696 2234857968 2344638960 2393485605 2394490680 2483175520 2514215214 2553051312 2607334296 2693802015 2735412120 2793572460 2836723680 2872182726 2873388816 2933251083 3191314140 3192654240 3232562418 3259167870 3282494544 3352286952 3476445728 3591736020 3647216160 3724763280 3771322821 3829576968 3911001444 4103118180 4190358690 4255085520 4310083224 4345557160 4469715936 4689277920 4786971210 4788981360 4848843627 4888751805 5028430428 5106102624 5214668592 5387604030 5470824240 5587144920 5744365452 5746777632 5866502166 6285538035 6382628280 6465124836 6518335740 6564989088 6704573904 7180456815 7183472040 7449526560 7542645642 7659153936 7822002888 8081406045 8206236360 8380717380 8510171040 8620166448 8691114320 8799753249 9573942420 9577962720 9697687254 9777503610 10056860856 10429337184 10775208060 10941648480 11174289840 11313968463 11488730904 11733004332 12571076070 12765256560 12930249672 13036671480 13409147808 14360913630 14366944080 14546530881 14666255415 15085291284 15318307872 15644005776 16162812090 16412472720 16761434760 17240332896 17382228640 17599506498 18856614105 19147884840 19395374508 19555007220 20113721712 21550416120 22348579680 22627936926 22977461808 23466008664 24244218135 25142152140 25530513120 25860499344 26073342960 26399259747 28721827260 28733888160 29093061762 29332510830 30170582568 31288011552 32325624180 32824945440 33522869520 33941905389 35199012996 37713228210 38295769680 38790749016 39110014440 40227443424 43100832240 43639592643 43998766245 45255873852 45954923616 46932017328 48488436270 50284304280 51720998688 52146685920 52798519494 56569842315 57443654520 58186123524 58665021660 60341165136 64651248360 67045739040 67883810778 70398025992 72732654405 75426456420 76591539360 77581498032 78220028880 79197779241 86201664480 87279185286 87997532490 90511747704 93864034656 96976872540 100568608560 101825716167 105597038988 113139684630 114887309040 116372247048 117330043320 120682330272 129302496720 131996298735 135767621556 140796051984 145465308810 150852912840 155162996064 156440057760 158395558482 169709526945 174558370572 175995064980 181023495408 193953745080 201137217120 203651432334 211194077976 218197963215 226279369260 229774618080 232744494096 234660086640 237593337723 258604993440 263992597470 271535243112 281592103968 290930617620 301705825680 305477148501 316791116964 339419053890 349116741144 351990129960 362046990816 387907490160 395988896205 407302864668 422388155952 436395926430 452558738520 465488988192 469320173280 475186675446 509128580835 527985194940 543070486224 581861235240 603411651360 610954297002 633582233928 678838107780 698233482288 703980259920 712780013169 775814980320 791977792410 814605729336 844776311904 872791852860 905117477040 950373350892 1018257161670 1055970389880 1086140972448 1163722470480 1187966688615 1221908594004 1267164467856 1357676215560 1396466964576 1407960519840 1425560026338 1527385742505 1583955584820 1629211458672 1745583705720 1810234954080 1900746701784 2036514323340 2111940779760 2138340039507 2327444940960 2375933377230 2443817188008 2534328935712 2715352431120 2851120052676 3054771485010 3167911169640 3258422917344 3491167411440 3563900065845 3801493403568 4073028646680 4223881559520 4276680079014 4751866754460 4887634376016 5430704862240 5702240105352 6109542970020 6335822339280 6982334822880 7127800131690 7602986807136 8146057293360 8553360158028 9503733508920 9775268752032 10691700197535 11404480210704 12219085940040 12671644678560 14255600263380 16292114586720 17106720316056 19007467017840 21383400395070 22808960421408 24438171880080 28511200526760 34213440632112 38014934035680 42766800790140 48876343760160 57022401053520 68426881264224 85533601580280 114044802107040 171067203160560 342134406321120
- Sum of all divisors σ(n): 1411311934499544
- Sum of proper divisors (its aliquot sum) s(n): 1069177528178424
- 342134406321120 is an abundant number, because the sum of its proper divisors (1069177528178424) is greater than itself. Its abundance is 727043121857304
Bases of 342134406321120
- Binary: 10011011100101011010111111100000100010011111000002
- Hexadecimal: 0x1372B5FC113E0
- Base-36: 3D9YDJVI00
Squares and roots of 342134406321120
- 342134406321120 squared (3421344063211202) is 117055951988705237012558054400
- 342134406321120 cubed (3421344063211203) is 40048868640009192276993790192132328828928000
-
The
square root of 342134406321120 is 18496875.5826793623 -
The
cube root of 342134406321120 is 69941.0664736119
Scales and comparisons
How big is 342134406321120?- 342,134,406,321,120 seconds is equal to 10,878,815 years, 43 weeks, 1 day, 1 hour, 12 minutes.
-
To count from 1 to 342,134,406,321,120 would take you about twenty-seven million, one hundred ninety-seven thousand and thirty-nine 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 342134406321120 cubic inches would be around 5828.4 feet tall.
Recreational maths with 342134406321120
- 342134406321120 backwards is 021123604431243
- 342134406321120 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 342134406321120's digits is 36
- More coming soon!
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The information we have on file for 342134406321120 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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