135120049766400
135,120,049,766,400 is an even composite number composed of six prime numbers multiplied together.
135120049766400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 135120049766400:
215 × 3 × 52 × 113 × 193 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 113 × 193 × 2521)See below for interesting mathematical facts about the number 135120049766400 from the Numbermatics database.
Names of 135120049766400
- Cardinal: 135120049766400 can be written as One hundred thirty-five trillion, one hundred twenty billion, forty-nine million, seven hundred sixty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.351200497664 × 1014
Factors of 135120049766400
Divisors of 135120049766400
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 113 120 128 150 160 192 193 200 226 240 256 300 320 339 384 386 400 452 480 512 565 579 600 640 678 768 772 800 904 960 965 1024 1130 1158 1200 1280 1356 1536 1544 1600 1695 1808 1920 1930 2048 2260 2316 2400 2521 2560 2712 2825 2895 3072 3088 3200 3390 3616 3840 3860 4096 4520 4632 4800 4825 5042 5120 5424 5650 5790 6144 6176 6400 6780 7232 7563 7680 7720 8192 8475 9040 9264 9600 9650 10084 10240 10848 11300 11580 12288 12352 12605 12800 13560 14464 14475 15126 15360 15440 16384 16950 18080 18528 19200 19300 20168 20480 21696 21809 22600 23160 24576 24704 25210 25600 27120 28928 28950 30252 30720 30880 32768 33900 36160 37056 37815 38400 38600 40336 40960 43392 43618 45200 46320 49152 49408 50420 51200 54240 57856 57900 60504 61440 61760 63025 65427 67800 72320 74112 75630 76800 77200 80672 81920 86784 87236 90400 92640 98304 98816 100840 102400 108480 109045 115712 115800 121008 122880 123520 126050 130854 135600 144640 148224 151260 153600 154400 161344 163840 173568 174472 180800 185280 189075 197632 201680 204800 216960 218090 231424 231600 242016 245760 247040 252100 261708 271200 284873 289280 296448 302520 307200 308800 322688 327135 347136 348944 361600 370560 378150 395264 403360 409600 433920 436180 462848 463200 484032 486553 491520 494080 504200 523416 542400 545225 569746 578560 592896 605040 614400 617600 645376 654270 694272 697888 723200 741120 756300 790528 806720 819200 854619 867840 872360 925696 926400 968064 973106 988160 1008400 1046832 1084800 1090450 1139492 1157120 1185792 1210080 1228800 1235200 1290752 1308540 1388544 1395776 1424365 1446400 1459659 1482240 1512600 1581056 1613440 1635675 1709238 1735680 1744720 1851392 1852800 1936128 1946212 1976320 2016800 2093664 2169600 2180900 2278984 2314240 2371584 2420160 2432765 2457600 2470400 2581504 2617080 2777088 2791552 2848730 2892800 2919318 2964480 3025200 3162112 3226880 3271350 3418476 3471360 3489440 3702784 3705600 3872256 3892424 3952640 4033600 4187328 4273095 4339200 4361800 4557968 4628480 4743168 4840320 4865530 4940800 5163008 5234160 5554176 5583104 5697460 5785600 5838636 5928960 6050400 6324224 6453760 6542700 6836952 6942720 6978880 7121825 7298295 7411200 7744512 7784848 7905280 8067200 8374656 8546190 8678400 8723600 9115936 9256960 9486336 9680640 9731060 9881600 10326016 10468320 11108352 11166208 11394920 11571200 11677272 11857920 12100800 12163825 12907520 13085400 13673904 13885440 13957760 14243650 14596590 14822400 15489024 15569696 15810560 16134400 16749312 17092380 17356800 17447200 18231872 18513920 18972672 19361280 19462120 19763200 20652032 20936640 21365475 22332416 22789840 23142400 23354544 23715840 24201600 24327650 25815040 26170800 27347808 27770880 27915520 28487300 29193180 29644800 30978048 31139392 31621120 32268800 33498624 34184760 34713600 34894400 36463744 36491475 38722560 38924240 39526400 41304064 41873280 42730950 44664832 45579680 46284800 46709088 47431680 48403200 48655300 51630080 52341600 54695616 54980489 55541760 55831040 56974600 58386360 59289600 61956096 62278784 64537600 66997248 68369520 69427200 69788800 72927488 72982950 77445120 77848480 79052800 82608128 83746560 85461900 89329664 91159360 92569600 93418176 94863360 96806400 97310600 103260160 104683200 109391232 109960978 111662080 113949200 116772720 118579200 123912192 124557568 129075200 133994496 136739040 138854400 139577600 145854976 145965900 154890240 155696960 158105600 164941467 167493120 170923800 178659328 182318720 186836352 193612800 194621200 206520320 209366400 218782464 219921956 223324160 227898400 233545440 237158400 247824384 249115136 258150400 267988992 273478080 274902445 277708800 279155200 291709952 291931800 309780480 311393920 329882934 334986240 341847600 357318656 364637440 373672704 387225600 389242400 413040640 418732800 437564928 439843912 446648320 455796800 467090880 474316800 498230272 516300800 535977984 546956160 549804890 558310400 583419904 583863600 619560960 622787840 659765868 669972480 683695200 714637312 729274880 747345408 774451200 778484800 824707335 837465600 875129856 879687824 893296640 911593600 934181760 996460544 1032601600 1071955968 1093912320 1099609780 1116620800 1166839808 1167727200 1239121920 1245575680 1319531736 1339944960 1367390400 1374512225 1458549760 1494690816 1548902400 1556969600 1649414670 1674931200 1750259712 1759375648 1786593280 1823187200 1868363520 1992921088 2065203200 2143911936 2187824640 2199219560 2233241600 2333679616 2335454400 2491151360 2639063472 2679889920 2734780800 2749024450 2917099520 2989381632 3097804800 3113939200 3298829340 3349862400 3500519424 3518751296 3573186560 3646374400 3736727040 3985842176 4123536675 4375649280 4398439120 4466483200 4667359232 4670908800 4982302720 5278126944 5359779840 5469561600 5498048900 5834199040 5978763264 6195609600 6227878400 6597658680 6699724800 7001038848 7037502592 7292748800 7473454080 7971684352 8247073350 8751298560 8796878240 8932966400 9334718464 9341817600 9964605440 10556253888 10719559680 10939123200 10996097800 11668398080 11957526528 12455756800 13195317360 13399449600 14002077696 14075005184 14585497600 14946908160 15943368704 16494146700 17502597120 17593756480 17865932800 18683635200 19929210880 21112507776 21878246400 21992195600 23336796160 23915053056 24911513600 26390634720 26798899200 28004155392 28150010368 29170995200 29893816320 32988293400 35005194240 35187512960 37367270400 39858421760 42225015552 43756492800 43984391200 46673592320 47830106112 49823027200 52781269440 53597798400 56300020736 58341990400 59787632640 65976586800 70010388480 70375025920 74734540800 79716843520 84450031104 87512985600 87968782400 99646054400 105562538880 112600041472 116683980800 119575265280 131953173600 140020776960 140750051840 149469081600 168900062208 175025971200 175937564800 199292108800 211125077760 225200082944 233367961600 239150530560 263906347200 281500103680 298938163200 337800124416 350051942400 351875129600 398584217600 422250155520 450400165888 527812694400 563000207360 597876326400 675600248832 700103884800 703750259200 844500311040 900800331776 1055625388800 1126000414720 1195752652800 1351200497664 1407500518400 1689000622080 1801600663552 2111250777600 2252000829440 2702400995328 2815001036800 3378001244160 4222501555200 4504001658880 5404801990656 5630002073600 6756002488320 8445003110400 9008003317760 11260004147200 13512004976640 16890006220800 22520008294400 27024009953280 33780012441600 45040016588800 67560024883200 135120049766400
- Sum of all divisors σ(n): 453259225579680
- Sum of proper divisors (its aliquot sum) s(n): 318139175813280
- 135120049766400 is an abundant number, because the sum of its proper divisors (318139175813280) is greater than itself. Its abundance is 183019126046880
Bases of 135120049766400
- Binary: 111101011100100000101101001000110000000000000002
- Hexadecimal: 0x7AE416918000
- Base-36: 1BW9AKXN9C
Squares and roots of 135120049766400
- 135120049766400 squared (1351200497664002) is 18257427848874412694568960000
- 135120049766400 cubed (1351200497664003) is 2466944559546367941513729798196690944000000
-
The
square root of 135120049766400 is 11624115.0100297959 -
The
cube root of 135120049766400 is 51314.4799849977
Scales and comparisons
How big is 135120049766400?- 135,120,049,766,400 seconds is equal to 4,296,399 years, 32 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 135,120,049,766,400 would take you about ten million, seven hundred forty thousand, nine hundred ninety-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 135120049766400 cubic inches would be around 4276.2 feet tall.
Recreational maths with 135120049766400
- 135120049766400 backwards is 004667940021531
- 135120049766400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135120049766400's digits is 48
- More coming soon!
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The information we have on file for 135120049766400 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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