135385538400
135,385,538,400 is an even composite number composed of seven prime numbers multiplied together.
135385538400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 135385538400:
25 × 34 × 52 × 7 × 17 × 97 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17 × 97 × 181)See below for interesting mathematical facts about the number 135385538400 from the Numbermatics database.
Names of 135385538400
- Cardinal: 135385538400 can be written as One hundred thirty-five billion, three hundred eighty-five million, five hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.353855384 × 1011
Factors of 135385538400
Divisors of 135385538400
- Number of divisors d(n): 1440
-
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 32 34 35 36 40 42 45 48 50 51 54 56 60 63 68 70 72 75 80 81 84 85 90 96 97 100 102 105 108 112 119 120 126 135 136 140 144 150 153 160 162 168 170 175 180 181 189 194 200 204 210 216 224 225 238 240 252 255 270 272 280 288 291 300 306 315 324 336 340 350 357 360 362 378 388 400 405 408 420 425 432 450 459 476 480 485 504 510 525 540 543 544 560 567 582 595 600 612 630 648 672 675 679 680 700 714 720 724 756 765 776 800 810 816 840 850 864 873 900 905 918 945 952 970 1008 1020 1050 1071 1080 1086 1120 1134 1164 1190 1200 1224 1260 1267 1275 1296 1350 1358 1360 1377 1400 1428 1440 1448 1455 1512 1530 1552 1575 1620 1629 1632 1649 1680 1700 1746 1785 1800 1810 1836 1890 1904 1940 2016 2025 2037 2040 2100 2142 2160 2172 2268 2295 2328 2380 2400 2425 2448 2520 2534 2550 2592 2619 2700 2715 2716 2720 2754 2800 2835 2856 2896 2910 2975 3024 3060 3077 3104 3150 3213 3240 3258 3298 3360 3395 3400 3492 3570 3600 3620 3672 3780 3801 3808 3825 3880 4050 4074 4080 4200 4284 4320 4344 4365 4525 4536 4590 4656 4725 4760 4850 4887 4896 4947 5040 5068 5100 5238 5355 5400 5430 5432 5508 5600 5670 5712 5792 5820 5950 6048 6111 6120 6154 6300 6335 6426 6480 6516 6596 6790 6800 6885 6984 7140 7200 7240 7275 7344 7560 7602 7650 7760 7857 8100 8145 8148 8160 8245 8400 8568 8688 8730 8925 9050 9072 9180 9231 9312 9450 9520 9639 9700 9774 9894 10080 10136 10185 10200 10476 10710 10800 10860 10864 11016 11340 11403 11424 11475 11543 11640 11900 12222 12240 12308 12600 12670 12852 12960 13032 13095 13192 13575 13580 13600 13770 13968 14175 14280 14480 14550 14661 14688 14841 15120 15204 15300 15385 15520 15714 16065 16200 16290 16296 16490 16800 16975 17136 17376 17460 17557 17850 18100 18144 18333 18360 18462 18900 19005 19040 19278 19400 19548 19788 20272 20370 20400 20952 21420 21539 21600 21720 21728 21825 22032 22680 22806 22950 23086 23280 23800 24435 24444 24480 24616 24735 25200 25340 25704 26064 26190 26384 26775 27150 27160 27540 27693 27936 28350 28560 28960 29100 29322 29682 30240 30408 30555 30600 30770 31428 31675 32130 32400 32580 32592 32980 33950 34209 34272 34425 34629 34920 35114 35700 36200 36666 36720 36924 37800 38010 38556 38800 39096 39285 39576 40544 40725 40740 40800 41225 41904 42840 43078 43440 43650 44064 44523 45360 45612 45900 46155 46172 46560 47600 48195 48870 48888 49232 49470 50400 50680 50925 51408 52128 52380 52671 52768 53550 54300 54320 54999 55080 55386 56700 57015 57120 57715 58200 58644 59364 60816 61110 61200 61540 62856 63350 64260 64617 64800 65160 65184 65475 65960 67900 68418 68850 69258 69840 70228 71400 72400 73305 73332 73440 73848 74205 75600 76020 76925 77112 77600 78192 78570 79152 80325 81450 81480 82450 83079 83808 85680 86156 86880 87300 87785 89046 90720 91224 91665 91800 92310 92344 95025 95200 96390 97740 97776 98464 98940 101360 101850 102627 102816 103887 104760 105342 107100 107695 108600 108640 109998 110160 110772 113400 114030 115430 116400 117288 118728 121632 122175 122220 122400 122899 123080 123675 125712 126700 128520 129234 130320 130950 131920 133569 135800 136836 137700 138465 138516 139680 140456 142800 144800 146610 146664 147696 148410 151200 152040 152775 153850 154224 156384 157140 158013 158304 160650 162900 162960 164900 166158 171045 171360 172312 173145 174600 175570 178092 182448 183330 183600 184620 184688 190050 192780 193851 195480 195552 196425 197880 202720 203700 205254 207774 209520 210684 214200 215390 217200 219996 220320 221544 222615 226800 228060 230775 230860 232800 234576 237456 240975 244350 244440 245798 246160 247350 249237 251424 253400 257040 258468 260640 261900 263355 263840 267138 271600 273672 274995 275400 276930 277032 280912 285075 285600 288575 293220 293328 295392 296820 298469 304080 305550 307700 308448 311661 314280 316026 321300 323085 325800 325920 329800 332316 342090 344624 346290 349200 351140 356184 364896 366525 366660 367200 368697 369240 369376 371025 380100 385560 387702 390960 392850 395760 407400 410508 415395 415548 419040 421368 428400 430780 434400 438925 439992 443088 445230 453600 456120 458325 461550 461720 469152 474039 474912 481950 488700 488880 491596 492320 494700 498474 506800 513135 514080 516936 519435 523800 526710 534276 538475 543200 547344 549990 550800 553860 554064 561824 570150 577150 581553 586440 586656 593640 596938 608160 611100 614495 615400 623322 628560 632052 642600 646170 651600 659600 664632 667845 684180 689248 692325 692580 698400 702280 712368 733050 733320 737394 738480 742050 760200 771120 775404 781920 785700 790065 791520 814800 821016 830790 831096 842736 855225 856800 861560 865725 877850 879984 886176 890460 895407 912240 916650 923100 923440 934983 948078 963900 969255 977400 977760 983192 989400 996948 1013600 1026270 1033872 1038870 1047600 1053420 1068552 1076950 1094688 1099980 1101600 1106091 1107720 1108128 1113075 1140300 1154300 1163106 1172880 1187280 1193876 1222200 1228990 1230800 1246185 1246644 1257120 1264104 1285200 1292340 1303200 1316775 1319200 1329264 1335690 1368360 1374975 1384650 1385160 1404560 1422117 1424736 1466100 1466640 1474788 1476960 1484100 1492345 1520400 1542240 1550808 1558305 1571400 1580130 1615425 1629600 1642032 1661580 1662192 1685472 1710450 1723120 1731450 1744659 1755700 1759968 1780920 1790814 1824480 1833300 1843485 1846200 1846880 1869966 1896156 1927800 1938510 1954800 1966384 1978800 1993896 2052540 2067744 2076975 2077740 2089283 2095200 2106840 2137104 2153900 2199960 2212182 2215440 2226150 2280600 2308600 2326212 2345760 2370195 2374560 2387752 2444400 2457980 2461600 2492370 2493288 2528208 2565675 2570400 2584680 2597175 2633550 2658528 2671380 2686221 2736720 2749950 2769300 2770320 2809120 2844234 2907765 2932200 2933280 2949576 2968200 2984690 3040800 3072475 3101616 3116610 3142800 3160260 3230850 3284064 3318273 3323160 3324384 3339225 3420900 3446240 3462900 3489318 3511400 3561840 3581628 3666600 3686970 3692400 3739932 3792312 3855600 3877020 3909600 3932768 3950325 3957600 3987792 4105080 4153950 4155480 4178566 4213680 4274208 4307800 4399920 4424364 4430880 4452300 4477035 4561200 4617200 4652424 4674915 4740390 4775504 4846275 4888800 4915960 4984740 4986576 5056416 5131350 5169360 5194350 5267100 5342760 5372442 5473440 5499900 5530455 5538600 5540640 5688468 5815530 5864400 5899152 5936400 5969380 6144950 6203232 6230925 6233220 6267849 6285600 6320520 6461700 6636546 6646320 6678450 6841800 6925800 6978636 7022800 7110585 7123680 7163256 7333200 7373940 7384800 7461725 7479864 7584624 7711200 7754040 7791525 7900650 7975584 8058663 8210160 8307900 8310960 8357132 8427360 8615600 8723295 8799840 8848728 8904600 8954070 9122400 9217425 9234400 9304848 9349830 9480780 9551008 9692550 9831920 9954819 9969480 9973152 10262700 10338720 10388700 10446415 10534200 10685520 10744884 10999800 11060910 11077200 11376936 11631060 11728800 11798304 11850975 11872800 11938760 12289900 12461850 12466440 12535698 12641040 12923400 13273092 13292640 13356900 13431105 13683600 13851600 13957272 14045600 14221170 14326512 14538825 14666400 14747880 14923450 14959728 15169248 15508080 15583050 15801300 16117326 16420320 16591365 16615800 16621920 16714264 17231200 17446590 17697456 17809200 17908140 18434850 18609696 18699660 18803547 18961560 19385100 19663840 19909638 19938960 20525400 20777400 20892830 21068400 21371040 21489768 21999600 22121820 22154400 22385175 22753872 23262120 23374575 23701950 23877520 24175989 24579800 24923700 24932880 25071396 25282080 25846800 26546184 26713800 26862210 27367200 27652275 27703200 27914544 28442340 28653024 29077650 29495760 29846900 29919456 31016160 31166100 31339245 31602600 32234652 33182730 33231600 33428528 34893180 35394912 35552925 35618400 35816280 36869700 37399320 37607094 37923120 38770200 39819276 39877920 40293315 41050800 41554800 41785660 42136800 42979536 43616475 43999200 44243640 44770350 45507744 46524240 46749150 47403900 47755040 48351978 49159600 49774095 49847400 49865760 50142792 51693600 52232075 53092368 53427600 53724420 55304550 55829088 56410641 56884680 58155300 58991520 59693800 62332200 62678490 63205200 64469304 66365460 66463200 66857056 67155525 69786360 71105850 71632560 73739400 74798640 75214188 75846240 77540400 79638552 80586630 82101600 82956825 83109600 83571320 85959072 87232950 88487280 89540700 93048480 93498300 94017735 94807800 96703956 98319200 99548190 99694800 100285584 104464150 106184736 106855200 107448840 110609100 112821282 113769360 116310600 119387600 120879945 124664400 125356980 126410400 128938608 132730920 134311050 139572720 142211700 143265120 147478800 149597280 150428376 155080800 156696225 159277104 161173260 165913650 167142640 169231923 174465900 176974560 179081400 186996600 188035470 189615600 193407912 199096380 199389600 200571168 201466575 208928300 214897680 221218200 225642564 227538720 232621200 238775200 241759890 248870475 249328800 250713960 257877216 265461840 268622100 279145440 282053205 284423400 294957600 300856752 313392450 318554208 322346520 331827300 334285280 338463846 348931800 358162800 373993200 376070940 379231200 386815824 398192760 402933150 417856600 429795360 442436400 451285128 465242400 470088675 483519780 497740950 501427920 530923680 537244200 564106410 568846800 601713504 604399725 626784900 644693040 663654600 676927692 697863600 716325600 747986400 752141880 773631648 796385520 805866300 835713200 846159615 884872800 902570256 940177350 967039560 995481900 1002855840 1074488400 1128212820 1137693600 1208799450 1253569800 1289386080 1327309200 1353855384 1395727200 1410266025 1504283760 1592771040 1611732600 1671426400 1692319230 1805140512 1880354700 1934079120 1990963800 2148976800 2256425640 2417598900 2507139600 2654618400 2707710768 2820532050 3008567520 3223465200 3384638460 3760709400 3868158240 3981927600 4230798075 4512851280 4835197800 5014279200 5415421536 5641064100 6446930400 6769276920 7521418800 7963855200 8461596150 9025702560 9670395600 11282128200 13538553840 15042837600 16923192300 19340791200 22564256400 27077107680 33846384600 45128512800 67692769200 135385538400
- Sum of all divisors σ(n): 606942528192
- Sum of proper divisors (its aliquot sum) s(n): 471556989792
- 135385538400 is an abundant number, because the sum of its proper divisors (471556989792) is greater than itself. Its abundance is 336171451392
Bases of 135385538400
- Binary: 11111100001011001101101011111011000002
- Hexadecimal: 0x1F859B5F60
- Base-36: 1Q711Y00
Squares and roots of 135385538400
- 135385538400 squared (1353855384002) is 18329244007857874560000
- 135385538400 cubed (1353855384003) is 2481514568468812177985263104000000
-
The
square root of 135385538400 is 367947.7386803729 -
The
cube root of 135385538400 is 5134.8066163461
Scales and comparisons
How big is 135385538400?- 135,385,538,400 seconds is equal to 4,304 years, 43 weeks, 5 days, 6 hours.
-
To count from 1 to 135,385,538,400 would take you about eight thousand, six hundred 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 135385538400 cubic inches would be around 427.9 feet tall.
Recreational maths with 135385538400
- 135385538400 backwards is 004835583531
- 135385538400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135385538400's digits is 45
- More coming soon!
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The information we have on file for 135385538400 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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