135141350400
135,141,350,400 is an even composite number composed of seven prime numbers multiplied together.
135141350400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 135141350400:
210 × 33 × 52 × 7 × 17 × 31 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 31 × 53)See below for interesting mathematical facts about the number 135141350400 from the Numbermatics database.
Names of 135141350400
- Cardinal: 135141350400 can be written as One hundred thirty-five billion, one hundred forty-one million, three hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.351413504 × 1011
Factors of 135141350400
Divisors of 135141350400
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 31 32 34 35 36 40 42 45 48 50 51 53 54 56 60 62 63 64 68 70 72 75 80 84 85 90 93 96 100 102 105 106 108 112 119 120 124 126 128 135 136 140 144 150 153 155 159 160 168 170 175 180 186 189 192 200 204 210 212 216 217 224 225 238 240 248 252 255 256 265 270 272 279 280 288 300 306 310 315 318 320 336 340 350 357 360 371 372 378 384 400 408 420 424 425 432 434 448 450 459 465 476 477 480 496 504 510 512 525 527 530 540 544 558 560 576 595 600 612 620 630 636 640 651 672 675 680 700 714 720 742 744 756 765 768 775 795 800 816 837 840 848 850 864 868 896 900 901 918 930 945 952 954 960 992 1008 1020 1024 1050 1054 1060 1071 1080 1085 1088 1113 1116 1120 1152 1190 1200 1224 1240 1260 1272 1275 1280 1302 1325 1344 1350 1360 1395 1400 1428 1431 1440 1484 1488 1512 1530 1536 1550 1575 1581 1590 1600 1632 1643 1674 1680 1696 1700 1728 1736 1785 1792 1800 1802 1836 1855 1860 1890 1904 1908 1920 1953 1984 2016 2040 2100 2108 2120 2142 2160 2170 2176 2226 2232 2240 2295 2304 2325 2380 2385 2400 2448 2480 2520 2544 2550 2560 2604 2635 2650 2688 2700 2703 2720 2790 2800 2856 2862 2880 2968 2975 2976 3024 3060 3072 3100 3150 3162 3180 3200 3213 3255 3264 3286 3339 3348 3360 3392 3400 3456 3472 3570 3584 3600 3604 3672 3689 3710 3720 3780 3808 3816 3825 3840 3906 3968 3975 4032 4080 4185 4200 4216 4240 4284 4320 4340 4352 4452 4464 4480 4505 4590 4608 4650 4725 4743 4760 4770 4800 4896 4929 4960 5040 5088 5100 5120 5208 5270 5300 5355 5376 5400 5406 5425 5440 5565 5580 5600 5712 5724 5760 5859 5936 5950 5952 6048 6120 6200 6300 6307 6324 6360 6400 6426 6510 6528 6572 6678 6696 6720 6784 6800 6912 6944 6975 7140 7155 7168 7200 7208 7344 7378 7420 7440 7560 7616 7632 7650 7680 7812 7905 7936 7950 8064 8109 8160 8215 8370 8400 8432 8480 8568 8640 8680 8704 8904 8925 8928 8960 9010 9180 9216 9275 9300 9450 9486 9520 9540 9600 9765 9792 9858 9920 10017 10080 10176 10200 10416 10540 10600 10710 10752 10800 10812 10850 10880 11067 11130 11160 11200 11424 11448 11475 11501 11520 11718 11872 11900 11904 11925 12096 12240 12400 12600 12614 12648 12720 12800 12852 13020 13056 13144 13175 13356 13392 13440 13515 13568 13600 13824 13888 13950 14229 14280 14310 14400 14416 14688 14756 14787 14840 14880 15120 15232 15264 15300 15360 15624 15810 15872 15900 16065 16128 16218 16275 16320 16430 16695 16740 16800 16864 16960 17136 17280 17360 17408 17808 17850 17856 17920 18020 18360 18445 18550 18600 18900 18921 18972 19040 19080 19200 19530 19584 19716 19840 20034 20160 20352 20400 20832 20925 21080 21200 21420 21504 21600 21624 21700 21760 22134 22260 22320 22400 22525 22848 22896 22950 23002 23040 23436 23715 23744 23800 23808 23850 24192 24327 24480 24645 24800 25200 25228 25296 25440 25600 25704 26040 26112 26288 26350 26712 26775 26784 26880 27030 27136 27200 27648 27776 27825 27900 27931 28458 28560 28620 28800 28832 29295 29376 29512 29574 29680 29760 30240 30464 30528 30600 31248 31535 31620 31744 31800 32130 32256 32436 32550 32640 32860 33201 33390 33480 33600 33728 33920 34272 34503 34560 34720 35616 35700 35712 35775 35840 36040 36720 36890 37100 37200 37800 37842 37944 38080 38160 38400 39060 39168 39432 39525 39680 40068 40320 40545 40704 40800 41075 41664 41850 42160 42400 42840 43200 43248 43400 43520 44268 44361 44520 44640 44800 45050 45696 45792 45900 46004 46080 46872 47430 47488 47600 47616 47700 48384 48654 48825 48960 49290 49600 50085 50400 50456 50592 50880 51408 52080 52224 52576 52700 53424 53550 53568 53760 54060 54272 54400 55335 55552 55650 55800 55862 56763 56916 57120 57240 57505 57600 57664 58590 58752 59024 59148 59360 59520 60480 60928 61056 61200 62496 63070 63240 63600 64260 64512 64872 65100 65280 65720 66402 66780 66960 67200 67456 67575 67840 68544 69006 69120 69440 71145 71232 71400 71424 71550 72080 73440 73780 73935 74200 74400 75600 75684 75888 76160 76320 76800 78120 78336 78864 79050 79360 80136 80325 80640 81090 81408 81600 82150 83328 83475 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1645056 1656144 1660050 1666560 1675860 1682432 1686400 1702890 1709568 1713600 1725150 1729920 1759653 1770720 1774440 1780800 1785600 1787584 1816416 1821312 1827840 1831680 1840160 1874880 1888768 1892100 1892736 1897200 1899520 1946160 1955170 1958400 1971600 1992060 1999872 2003400 2011032 2018240 2023680 2035200 2056320 2070180 2075904 2083200 2094825 2103040 2124864 2136960 2142720 2162400 2208192 2213400 2218050 2234480 2270520 2276640 2284800 2289600 2300200 2306560 2343600 2346204 2350080 2360960 2365920 2374400 2380800 2419200 2421888 2428416 2432700 2442240 2484216 2490075 2499840 2513790 2522800 2523648 2529600 2564352 2570400 2587725 2594880 2628800 2656080 2671200 2678400 2681376 2698240 2724624 2741760 2760240 2767872 2777600 2793100 2833152 2838150 2839104 2845800 2849280 2883200 2932755 2937600 2944256 2951200 2957400 2999808 3016548 3027360 3035520 3046400 3052800 3105270 3113856 3124800 3128272 3154560 3187296 3205440 3229184 3243600 3290112 3312288 3320100 3333120 3351720 3372800 3405780 3419136 3427200 3450300 3459840 3519306 3541440 3548880 3561600 3571200 3575168 3632832 3642624 3663360 3680320 3749760 3770685 3777536 3784200 3785472 3794400 3892320 3910340 3916800 3943200 3984120 4006800 4022064 4036480 4047360 4070400 4112640 4140360 4151808 4166400 4189650 4206080 4249728 4257225 4273920 4285440 4324800 4416384 4426800 4436100 4468960 4541040 4553280 4569600 4579200 4600400 4613120 4687200 4692408 4721920 4731840 4748800 4838400 4843776 4856832 4865400 4887925 4968432 4980150 4999680 5027580 5045600 5047296 5059200 5128704 5140800 5175450 5189760 5257600 5278959 5312160 5342400 5356800 5362752 5449248 5483520 5520480 5555200 5586200 5666304 5676300 5678208 5691600 5698560 5766400 5865510 5875200 5888512 5902400 5914800 5999616 6033096 6054720 6071040 6105600 6210540 6227712 6249600 6256544 6284475 6309120 6374592 6410880 6458368 6487200 6624576 6640200 6703440 6745600 6811560 6854400 6900600 6919680 7038612 7082880 7097760 7123200 7142400 7150336 7265664 7285248 7326720 7360640 7499520 7541370 7568400 7570944 7588800 7763175 7784640 7820680 7886400 7968240 8013600 8044128 8072960 8094720 8225280 8280720 8303616 8332800 8379300 8412160 8499456 8514450 8547840 8649600 8798265 8832768 8853600 8872200 8937920 9082080 9106560 9139200 9158400 9200800 9374400 9384816 9443840 9463680 9497600 9687552 9730800 9775850 9936864 9960300 9999360 10055160 10091200 10118400 10257408 10281600 10350900 10379520 10515200 10557918 10624320 10684800 10713600 10725504 10898496 11040960 11172400 11332608 11352600 11356416 11383200 11532800 11731020 11750400 11777024 11804800 11829600 12066192 12109440 12142080 12211200 12421080 12455424 12499200 12513088 12568950 12618240 12749184 12821760 12974400 13249152 13280400 13406880 13491200 13623120 13708800 13801200 13839360 14077224 14165760 14195520 14246400 14300672 14531328 14570496 14663775 14721280 14999040 15082740 15136800 15141888 15177600 15526350 15569280 15641360 15772800 15936480 16027200 16088256 16145920 16450560 16561440 16665600 16758600 16998912 17028900 17095680 17299200 17596530 17665536 17707200 17744400 17875840 18164160 18213120 18316800 18401600 18748800 18769632 18853425 18887680 18927360 19375104 19461600 19551700 19873728 19920600 20110320 20182400 20236800 20563200 20701800 20759040 21030400 21115836 21248640 21369600 21427200 21451008 21796992 22081920 22344800 22705200 22712832 22766400 23065600 23462040 23609600 23659200 24132384 24218880 24284160 24842160 24910848 24998400 25026176 25137900 25236480 25498368 25643520 25948800 26394795 26498304 26560800 26813760 27246240 27417600 27602400 28154448 28331520 28391040 28492800 28601344 29062656 29327550 29442560 29998080 30165480 30273600 30355200 31052700 31138560 31282720 31545600 31872960 32054400 32176512 32291840 33122880 33517200 33997824 34057800 34598400 35193060 35331072 35414400 35488800 35751680 36328320 36426240 36633600 36803200 37497600 37539264 37706850 37854720 38923200 39103400 39747456 39841200 40220640 40364800 40473600 41126400 41403600 41518080 42060800 42231672 42497280 42739200 42902016 43593984 43991325 44163840 44689600 45410400 45425664 45532800 46924080 47219200 47318400 48264768 48437760 49684320 49996800 50052352 50275800 50996736 51287040 51897600 52789590 52996608 53121600 53627520 54492480 55204800 56308896 56663040 56782080 58125312 58655100 58885120 60330960 60547200 60710400 62105400 62277120 62565440 63091200 63745920 64108800 64353024 66245760 67034400 68115600 69196800 70386120 70828800 70977600 71503360 72656640 72852480 73606400 74995200 75078528 75413700 75709440 77846400 78206800 79494912 79682400 80441280 80729600 82252800 82807200 84463344 84994560 85478400 85804032 87187968 87982650 88327680 89379200 90820800 91065600 93848160 94438400 94636800 96529536 96875520 99368640 100104704 100551600 101993472 103795200 105579180 105993216 106243200 107255040 108984960 110409600 112617792 113564160 117310200 120661920 121094400 121420800 124210800 124554240 125130880 126182400 127491840 128217600 128706048 131973975 132491520 134068800 136231200 140772240 141657600 141955200 143006720 145313280 147212800 149990400 150157056 150827400 155692800 156413600 158989824 159364800 160882560 161459200 165614400 168926688 169989120 174375936 175965300 176655360 178758400 181641600 182131200 187696320 189273600 193059072 198737280 200209408 201103200 207590400 211158360 212486400 214510080 217969920 220819200 225235584 227128320 234620400 241323840 242188800 248421600 250261760 254983680 256435200 257412096 263947950 264983040 268137600 272462400 281544480 283315200 283910400 290626560 294425600 300314112 301654800 311385600 312827200 317979648 318729600 321765120 331228800 337853376 351930600 357516800 363283200 364262400 375392640 378547200 386118144 397474560 402206400 422316720 424972800 429020160 435939840 441638400 450471168 469240800 482647680 484377600 496843200 500523520 509967360 527895900 529966080 536275200 544924800 563088960 567820800 600628224 603309600 622771200 625654400 637459200 643530240 662457600 675706752 703861200 715033600 726566400 750785280 772236288 794949120 804412800 844633440 849945600 871879680 883276800 900942336 938481600 965295360 993686400 1001047040 1055791800 1072550400 1089849600 1126177920 1135641600 1206619200 1251308800 1274918400 1287060480 1324915200 1351413504 1407722400 1453132800 1501570560 1589898240 1608825600 1689266880 1801884672 1876963200 1930590720 1987372800 2111583600 2145100800 2179699200 2252355840 2413238400 2502617600 2549836800 2649830400 2702827008 2815444800 3003141120 3217651200 3378533760 3753926400 3861181440 3974745600 4223167200 4359398400 4504711680 4826476800 5005235200 5405654016 5630889600 6435302400 6757067520 7507852800 7949491200 8446334400 9009423360 9652953600 11261779200 13514135040 15015705600 16892668800 19305907200 22523558400 27028270080 33785337600 45047116800 67570675200 135141350400
- Sum of all divisors σ(n): 631605288960
- Sum of proper divisors (its aliquot sum) s(n): 496463938560
- 135141350400 is an abundant number, because the sum of its proper divisors (496463938560) is greater than itself. Its abundance is 361322588160
Bases of 135141350400
- Binary: 11111011101110000110101011100000000002
- Hexadecimal: 0x1F770D5C00
- Base-36: 1Q2ZO5C0
Squares and roots of 135141350400
- 135141350400 squared (1351413504002) is 18263184587935580160000
- 135141350400 cubed (1351413504003) is 2468111427818081851029848064000000
-
The
square root of 135141350400 is 367615.7646238799 -
The
cube root of 135141350400 is 5131.7176287303
Scales and comparisons
How big is 135141350400?- 135,141,350,400 seconds is equal to 4,297 years, 4 weeks.
-
To count from 1 to 135,141,350,400 would take you about eight thousand, five hundred ninety-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 135141350400 cubic inches would be around 427.6 feet tall.
Recreational maths with 135141350400
- 135141350400 backwards is 004053141531
- 135141350400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135141350400's digits is 27
- More coming soon!
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The information we have on file for 135141350400 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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