42139748044800
42,139,748,044,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 42139748044800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 936 divisors.
42139748044800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 42139748044800:
212 × 32 × 52 × 7 × 41 × 159319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 41 × 159319)See below for interesting mathematical facts about the number 42139748044800 from the Numbermatics database.
Names of 42139748044800
- Cardinal: 42139748044800 can be written as Forty-two trillion, one hundred thirty-nine billion, seven hundred forty-eight million, forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.21397480448 × 1013
Factors of 42139748044800
Divisors of 42139748044800
- Number of divisors d(n): 936
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 41 42 45 48 50 56 60 63 64 70 72 75 80 82 84 90 96 100 105 112 120 123 126 128 140 144 150 160 164 168 175 180 192 200 205 210 224 225 240 246 252 256 280 287 288 300 315 320 328 336 350 360 369 384 400 410 420 448 450 480 492 504 512 525 560 574 576 600 615 630 640 656 672 700 720 738 768 800 820 840 861 896 900 960 984 1008 1024 1025 1050 1120 1148 1152 1200 1230 1260 1280 1312 1344 1400 1435 1440 1476 1536 1575 1600 1640 1680 1722 1792 1800 1845 1920 1968 2016 2048 2050 2100 2240 2296 2304 2400 2460 2520 2560 2583 2624 2688 2800 2870 2880 2952 3072 3075 3150 3200 3280 3360 3444 3584 3600 3690 3840 3936 4032 4096 4100 4200 4305 4480 4592 4608 4800 4920 5040 5120 5166 5248 5376 5600 5740 5760 5904 6144 6150 6300 6400 6560 6720 6888 7168 7175 7200 7380 7680 7872 8064 8200 8400 8610 8960 9184 9216 9225 9600 9840 10080 10240 10332 10496 10752 11200 11480 11520 11808 12288 12300 12600 12800 12915 13120 13440 13776 14336 14350 14400 14760 15360 15744 16128 16400 16800 17220 17920 18368 18432 18450 19200 19680 20160 20480 20664 20992 21504 21525 22400 22960 23040 23616 24600 25200 25600 25830 26240 26880 27552 28672 28700 28800 29520 30720 31488 32256 32800 33600 34440 35840 36736 36864 36900 38400 39360 40320 41328 41984 43008 43050 44800 45920 46080 47232 49200 50400 51200 51660 52480 53760 55104 57400 57600 59040 61440 62976 64512 64575 65600 67200 68880 71680 73472 73800 76800 78720 80640 82656 83968 86016 86100 89600 91840 92160 94464 98400 100800 102400 103320 104960 107520 110208 114800 115200 118080 125952 129024 129150 131200 134400 137760 143360 146944 147600 153600 157440 159319 161280 165312 167936 172200 179200 183680 184320 188928 196800 201600 206640 209920 215040 220416 229600 230400 236160 251904 258048 258300 262400 268800 275520 293888 295200 307200 314880 318638 322560 330624 344400 358400 367360 377856 393600 403200 413280 419840 430080 440832 459200 460800 472320 477957 503808 516600 524800 537600 551040 587776 590400 629760 637276 645120 661248 688800 716800 734720 755712 787200 796595 806400 826560 839680 881664 918400 921600 944640 955914 1033200 1049600 1075200 1102080 1115233 1175552 1180800 1259520 1274552 1290240 1322496 1377600 1433871 1469440 1511424 1574400 1593190 1612800 1653120 1763328 1836800 1889280 1911828 2066400 2099200 2150400 2204160 2230466 2361600 2389785 2519040 2549104 2644992 2755200 2867742 2938880 3148800 3186380 3225600 3306240 3345699 3526656 3673600 3778560 3823656 3982975 4132800 4198400 4408320 4460932 4723200 4779570 5098208 5289984 5510400 5576165 5735484 5877760 6297600 6372760 6451200 6532079 6612480 6691398 7169355 7347200 7557120 7647312 7965950 8265600 8816640 8921864 9446400 9559140 10037097 10196416 10579968 11020800 11152330 11470968 11948925 12595200 12745520 13064158 13224960 13382796 14338710 14694400 15294624 15931900 16531200 16728495 17633280 17843728 18892800 19118280 19596237 20074194 20392832 22041600 22304660 22941936 23897850 25491040 26128316 26449920 26765592 27880825 28677420 29388800 30589248 31863800 32660395 33062400 33456990 35687456 35846775 37785600 38236560 39192474 40148388 40785664 44083200 44609320 45724553 45883872 47795700 50185485 50982080 52256632 52899840 53531184 55761650 57354840 58788711 61178496 63727600 65320790 66124800 66913980 71374912 71693550 76473120 78384948 80296776 81571328 83642475 88166400 89218640 91449106 91767744 95591400 97981185 100370970 101964160 104513264 107062368 111523300 114709680 117577422 122356992 127455200 130641580 132249600 133827960 137173659 142749824 143387100 152946240 156769896 160593552 163142656 163301975 167284950 178437280 182898212 183535488 191182800 195962370 200741940 203928320 209026528 214124736 223046600 228622765 229419360 235154844 244713984 250927425 254910400 261283160 264499200 267655920 274347318 285499648 286774200 293943555 305892480 313539792 321187104 326285312 326603950 334569900 356874560 365796424 367070976 382365600 391924740 401483880 407856640 411520977 418053056 428249472 446093200 457245530 458838720 470309688 489427968 489905925 501854850 509820800 522566320 535311840 548694636 570999296 573548400 587887110 611784960 627079584 642374208 652570624 653207900 669139800 685868295 713749120 731592848 734141952 764731200 783849480 802967760 815713280 823041954 836106112 856498944 892186400 914491060 917677440 940619376 978855936 979811850 1003709700 1019641600 1045132640 1070623680 1097389272 1141998592 1143113825 1147096800 1175774220 1223569920 1254159168 1284748416 1306415800 1338279600 1371736590 1427498240 1463185696 1468283904 1469717775 1529462400 1567698960 1605935520 1631426560 1646083908 1672212224 1712997888 1784372800 1828982120 1835354880 1881238752 1957711872 1959623700 2007419400 2039283200 2057604885 2090265280 2141247360 2194778544 2283997184 2286227650 2294193600 2351548440 2447139840 2508318336 2569496832 2612831600 2676559200 2743473180 2854996480 2926371392 2936567808 2939435550 3058924800 3135397920 3211871040 3262853120 3292167816 3344424448 3425995776 3429341475 3568745600 3657964240 3670709760 3762477504 3919247400 4014838800 4078566400 4115209770 4180530560 4282494720 4389557088 4567994368 4572455300 4588387200 4703096880 4894279680 5016636672 5138993664 5225663200 5353118400 5486946360 5709992960 5852742784 5873135616 5878871100 6117849600 6270795840 6423742080 6584335632 6688848896 6851991552 6858682950 7137491200 7315928480 7341419520 7524955008 7838494800 8029677600 8157132800 8230419540 8361061120 8564989440 8779114176 9144910600 9176774400 9406193760 9788559360 10033273344 10277987328 10288024425 10451326400 10706236800 10973892720 11419985920 11705485568 11757742200 12235699200 12541591680 12847484160 13168671264 13377697792 13703983104 13717365900 14274982400 14631856960 14682839040 15049910016 15676989600 16059355200 16314265600 16460839080 16722122240 17129978880 17558228352 18289821200 18353548800 18812387520 20066546688 20555974656 20576048850 20902652800 21412473600 21947785440 22839971840 23410971136 23515484400 24471398400 25083183360 25694968320 26337342528 26755395584 27434731800 28549964800 29263713920 29365678080 30099820032 31353979200 32118710400 32921678160 33444244480 34259957760 35116456704 36579642400 36707097600 37624775040 40133093376 41111949312 41152097700 41805305600 42824947200 43895570880 46821942272 47030968800 48942796800 50166366720 51389936640 52674685056 54869463600 57099929600 58527427840 60199640064 62707958400 64237420800 65843356320 66888488960 68519915520 70232913408 73159284800 73414195200 75249550080 80266186752 82304195400 83610611200 85649894400 87791141760 93643884544 94061937600 100332733440 102779873280 105349370112 109738927200 114199859200 117054855680 120399280128 125415916800 128474841600 131686712640 133776977920 140465826816 146318569600 146828390400 150499100160 164608390800 167221222400 171299788800 175582283520 187287769088 188123875200 200665466880 205559746560 210698740224 219477854400 234109711360 240798560256 250831833600 256949683200 263373425280 280931653632 292637139200 300998200320 329216781600 334442444800 342599577600 351164567040 376247750400 401330933760 421397480448 438955708800 468219422720 501663667200 513899366400 526746850560 561863307264 585274278400 601996400640 658433563200 668884889600 702329134080 752495500800 842794960896 877911417600 936438845440 1003327334400 1027798732800 1053493701120 1170548556800 1203992801280 1316867126400 1404658268160 1504991001600 1685589921792 1755822835200 2006654668800 2106987402240 2341097113600 2633734252800 2809316536320 3009982003200 3511645670400 4213974804480 4682194227200 5267468505600 6019964006400 7023291340800 8427949608960 10534937011200 14046582681600 21069874022400 42139748044800
- Sum of all divisors σ(n): 176706102168960
- Sum of proper divisors (its aliquot sum) s(n): 134566354124160
- 42139748044800 is an abundant number, because the sum of its proper divisors (134566354124160) is greater than itself. Its abundance is 92426606079360
Bases of 42139748044800
- Binary: 10011001010011011011001011011010010000000000002
- Hexadecimal: 0x26536CB69000
- Base-36: EXQQDYWW0
Squares and roots of 42139748044800
- 42139748044800 squared (421397480448002) is 1775758365279225422807040000
- 42139748044800 cubed (421397480448003) is 74830010101312483716791417167675392000000
-
The
square root of 42139748044800 is 6491513.5403694569 -
The
cube root of 42139748044800 is 34798.7767782489
Scales and comparisons
How big is 42139748044800?- 42,139,748,044,800 seconds is equal to 1,339,913 years, 33 weeks, 2 days, 8 hours.
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To count from 1 to 42,139,748,044,800 would take you about three million, three hundred forty-nine thousand, seven hundred eighty-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 42139748044800 cubic inches would be around 2899.9 feet tall.
Recreational maths with 42139748044800
- 42139748044800 backwards is 00844084793124
- The number of decimal digits it has is: 14
- The sum of 42139748044800's digits is 54
- More coming soon!
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The information we have on file for 42139748044800 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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