135825648000

Names of 135825648000

• Cardinal: 135825648000 can be written as One hundred thirty-five billion, eight hundred twenty-five million, six hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.35825648 × 10¹¹

Factors of 135825648000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 156

Divisors of 135825648000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 43 48 49 50 51 56 60 64 68 70 75 79 80 84 85 86 96 98 100 102 105 112 119 120 125 128 129 136 140 147 150 158 160 168 170 172 175 192 196 200 204 210 215 224 237 238 240 245 250 255 258 272 280 294 300 301 316 320 336 340 344 350 357 375 384 392 395 400 408 420 425 430 448 474 476 480 490 500 510 516 525 544 553 560 588 595 600 602 632 640 645 672 680 688 700 714 731 735 750 784 790 800 816 833 840 850 860 875 896 903 948 952 960 980 1000 1020 1032 1050 1075 1088 1106 1120 1176 1185 1190 1200 1204 1225 1264 1275 1290 1343 1344 1360 1376 1400 1428 1462 1470 1500 1505 1568 1580 1600 1632 1659 1666 1680 1700 1720 1750 1785 1806 1896 1904 1920 1960 1975 2000 2040 2064 2100 2107 2125 2150 2176 2193 2212 2240 2352 2370 2380 2400 2408 2450 2499 2528 2550 2580 2625 2686 2688 2720 2752 2765 2800 2856 2924 2940 2975 3000 3010 3136 3160 3200 3225 3264 3318 3332 3360 3397 3400 3440 3500 3570 3612 3655 3675 3792 3808 3871 3920 3950 4000 4029 4080 4128 4165 4200 4214 4250 4300 4386 4424 4480 4515 4704 4740 4760 4800 4816 4900 4998 5056 5100 5117 5160 5250 5372 5375 5440 5504 5530 5600 5712 5848 5880 5925 5950 6000 6020 6125 6272 6320 6321 6375 6450 6528 6636 6664 6715 6720 6794 6800 6880 7000 7140 7224 7310 7350 7525 7584 7616 7742 7840 7900 8000 8058 8160 8256 8295 8330 8400 8428 8500 8600 8772 8848 8925 9030 9401 9408 9480 9520 9600 9632 9800 9875 9996 10112 10191 10200 10234 10320 10500 10535 10744 10750 10880 10965 11060 11200 11424 11613 11696 11760 11850 11900 12000 12040 12250 12495 12640 12642 12750 12900 13272 13328 13430 13440 13588 13600 13760 13825 14000 14280 14448 14620 14700 14875 15050 15168 15232 15351 15484 15680 15800 16000 16116 16125 16320 16512 16590 16660 16800 16856 16985 17000 17200 17544 17696 17850 18060 18275 18375 18802 18816 18960 19040 19264 19355 19600 19750 19992 20145 20382 20400 20468 20640 20825 21000 21070 21488 21500 21930 22120 22400 22575 22848 23226 23392 23520 23700 23779 23800 24000 24080 24500 24990 25280 25284 25500 25585 25800 26544 26656 26860 27176 27200 27520 27650 28000 28203 28560 28896 29240 29400 29625 29750 30100 30336 30702 30968 31360 31600 31605 32232 32250 32640 33180 33320 33575 33600 33712 33970 34000 34400 35088 35392 35700 35819 36120 36550 36750 37604 37625 37920 38080 38528 38710 39200 39500 39984 40290 40764 40800 40936 41280 41475 41650 42000 42140 42976 43000 43860 44240 44625 45150 45696 46452 46784 47005 47040 47400 47558 47600 48000 48160 49000 49980 50560 50568 50955 51000 51170 51600 52675 53088 53312 53720 54352 54400 54825 55300 56000 56406 57120 57749 57792 58065 58480 58800 59250 59500 60200 61404 61936 62475 63200 63210 64464 64500 65807 66360 66640 67150 67200 67424 67940 68000 68800 69125 70176 70784 71337 71400 71638 72240 73100 73500 75208 75250 75840 76160 76755 77420 78400 79000 79968 80580 81528 81600 81872 82560 82950 83300 84000 84280 84925 85952 86000 87720 88480 89250 90300 91375 92904 93568 94010 94080 94800 95116 95200 96320 96775 98000 99960 100725 101136 101910 102000 102340 103200 104125 105350 106176 106624 107440 107457 108704 109650 110600 112000 112812 112875 114240 115498 115584 116130 116960 117600 118500 118895 119000 120400 122808 123872 124950 126400 126420 127925 128928 129000 131614 132720 133280 134300 134848 135880 136000 137600 138250 140352 141015 142674 142800 143276 144480 146200 147000 150416 150500 151680 153510 154840 156800 158000 158025 159936 161160 163056 163200 163744 165900 166453 166600 167875 168000 168560 169850 171904 172000 173247 175440 176960 178500 179095 180600 182750 185808 188020 189600 190232 190400 192640 193550 196000 197421 199920 201450 202272 203820 204000 204680 206400 207375 208250 210700 212352 214880 214914 217408 219300 221200 225624 225750 228480 230996 232260 233920 235025 235200 237000 237790 238000 240800 245616 247744 249900 252800 252840 254775 255850 257856 258000 263228 263375 265440 266560 268600 269696 271760 272000 274125 276500 280704 282030 285348 285600 286552 288745 288960 290325 292400 294000 300832 301000 307020 309680 312375 316000 316050 319872 322320 326112 327488 329035 331800 332906 333200 335750 336000 337120 339700 344000 346494 350880 353920 356685 357000 358190 361200 365500 371616 376040 379200 380464 380800 383775 387100 392000 394842 399840 402900 404243 404544 407640 408000 409360 412800 414750 416500 421400 424625 429760 429828 434816 438600 442400 451248 451500 461992 464520 467840 470050 470400 474000 475580 476000 481600 483875 491232 495488 499359 499800 503625 505680 509550 511700 515712 516000 526456 526750 530880 533120 537200 537285 543520 548250 553000 564060 570696 571200 573104 577490 577920 580650 584800 588000 594475 601664 602000 614040 619360 624750 632000 632100 639625 644640 652224 654976 658070 663600 665812 666400 671500 674240 679400 688000 692988 701760 705075 713370 714000 716380 722400 731000 743232 752080 758400 760928 767550 774200 784000 789684 790125 799680 805800 808486 809088 815280 816000 818720 829500 832265 833000 842800 849250 859520 859656 866235 877200 884800 895475 902496 903000 923984 929040 940100 948000 951160 952000 963200 967750 982464 987105 998718 999600 1007250 1011360 1019100 1023400 1032000 1052912 1053500 1061760 1074400 1074570 1087040 1096500 1106000 1128120 1141392 1142400 1146208 1154980 1161300 1169600 1175125 1176000 1188950 1203328 1204000 1212729 1228080 1238720 1249500 1264000 1264200 1273875 1279250 1289280 1304448 1316140 1327200 1331624 1332800 1343000 1348480 1358800 1385976 1403520 1410150 1426740 1428000 1432760 1443725 1444800 1451625 1462000 1486464 1504160 1521856 1535100 1548400 1579368 1580250 1599360 1611600 1616972 1630560 1637440 1645175 1659000 1664530 1666000 1685600 1698500 1719312 1732470 1754400 1769600 1783425 1790950 1804992 1806000 1847968 1858080 1880200 1896000 1902320 1904000 1918875 1935500 1964928 1974210 1997436 1999200 2014500 2021215 2022720 2038200 2046800 2064000 2105824 2107000 2148800 2149140 2174080 2193000 2212000 2256240 2282784 2292416 2309960 2322600 2339200 2350250 2352000 2377900 2408000 2425458 2456160 2477440 2496795 2499000 2528400 2547750 2558500 2578560 2632280 2654400 2663248 2665600 2686000 2686425 2717600 2771952 2820300 2829701 2853480 2856000 2865520 2887450 2889600 2903250 2924000 2972375 3008320 3043712 3070200 3096800 3158736 3160500 3223200 3233944 3261120 3274880 3290350 3318000 3329060 3332000 3371200 3397000 3438624 3464940 3508800 3525375 3566850 3581900 3609984 3612000 3695936 3716160 3760400 3792000 3804640 3837750 3871000 3948420 3994872 3998400 4029000 4042430 4045440 4076400 4093600 4161325 4211648 4214000 4297600 4298280 4331175 4386000 4424000 4477375 4512480 4565568 4584832 4619920 4645200 4700500 4755800 4816000 4850916 4912320 4935525 4993590 4998000 5056800 5095500 5117000 5264560 5308800 5326496 5372000 5372850 5435200 5543904 5640600 5659402 5706960 5712000 5731040 5774900 5806500 5848000 5944750 6016640 6063645 6140400 6193600 6317472 6321000 6446400 6467888 6522240 6580700 6636000 6658120 6664000 6742400 6794000 6877248 6929880 7017600 7050750 7133700 7163800 7218625 7224000 7391872 7432320 7520800 7609280 7675500 7742000 7896840 7989744 7996800 8058000 8084860 8152800 8187200 8225875 8322650 8423296 8428000 8489103 8596560 8662350 8772000 8848000 8917125 8954750 9024960 9131136 9239840 9290400 9401000 9511600 9701832 9824640 9871050 9987180 9996000 10106075 10113600 10191000 10234000 10529120 10652992 10744000 10745700 10870400 11087808 11281200 11318804 11413920 11462080 11549800 11613000 11696000 11889500 12127290 12280800 12387200 12483975 12634944 12642000 12892800 12935776 13161400 13272000 13316240 13328000 13432125 13588000 13754496 13859760 14101500 14148505 14267400 14327600 14437250 14448000 15041600 15218560 15351000 15484000 15793680 15979488 16116000 16169720 16305600 16374400 16451750 16645300 16856000 16978206 17193120 17324700 17544000 17834250 17909500 18049920 18479680 18580800 18802000 19023200 19403664 19742100 19974360 19992000 20212150 20227200 20382000 20468000 20806625 21058240 21305984 21488000 21491400 21655875 22175616 22562400 22637608 22827840 22924160 23099600 23226000 23779000 24254580 24561600 24677625 24967950 25269888 25284000 25871552 26322800 26544000 26632480 26864250 27176000 27719520 28203000 28297010 28534800 28655200 28874500 30083200 30318225 30702000 30968000 31587360 31958976 32232000 32339440 32611200 32903500 33290600 33712000 33956412 34386240 34649400 35088000 35668500 35819000 36959360 37161600 37604000 38046400 38807328 39484200 39948720 39984000 40424300 40764000 40936000 41613250 42116480 42445515 42982800 43311750 45124800 45275216 45655680 46199200 46452000 47558000 48509160 49123200 49355250 49935900 50530375 50568000 51743104 52645600 53264960 53728500 54352000 55439040 56406000 56594020 57069600 57310400 57749000 60636450 61404000 61936000 62419875 63174720 63917952 64464000 64678880 65807000 66581200 67912824 68772480 69298800 70742525 71337000 71638000 75208000 76092800 77614656 78968400 79897440 80848600 81528000 81872000 83226500 84891030 85965600 86623500 90249600 90550432 92398400 92904000 95116000 97018320 98710500 99871800 101060750 101136000 105291200 106529920 107457000 110878080 112812000 113188040 114139200 114620800 115498000 121272900 122808000 124839750 126349440 129357760 131614000 133162400 135825648 138597600 141485050 142674000 143276000 150416000 151591125 155229312 157936800 159794880 161697200 163056000 166453000 169782060 171931200 173247000 181100864 184796800 185808000 190232000 194036640 197421000 199743600 202121500 210582400 212227575 214914000 225624000 226376080 228278400 230996000 242545800 245616000 249679500 258715520 263228000 266324800 271651296 277195200 282970100 285348000 286552000 303182250 315873600 319589760 323394400 332906000 339564120 343862400 346494000 353712625 362201728 380464000 388073280 394842000 399487200 404243000 424455150 429828000 451248000 452752160 461992000 485091600 499359000 526456000 532649600 543302592 554390400 565940200 570696000 573104000 606364500 631747200 646788800 665812000 679128240 692988000 707425250 776146560 789684000 798974400 808486000 848910300 859656000 905504320 923984000 970183200 998718000 1052912000 1061137875 1086605184 1131880400 1141392000 1212729000 1293577600 1331624000 1358256480 1385976000 1414850500 1579368000 1597948800 1616972000 1697820600 1719312000 1811008640 1940366400 1997436000 2122275750 2263760800 2425458000 2663248000 2716512960 2771952000 2829701000 3158736000 3233944000 3395641200 3880732800 3994872000 4244551500 4527521600 4850916000 5433025920 5659402000 6467888000 6791282400 7989744000 8489103000 9055043200 9701832000 11318804000 13582564800 16978206000 19403664000 22637608000 27165129600 33956412000 45275216000 67912824000 135825648000
• Sum of all divisors σ(n): 574665062400
• Sum of proper divisors (its aliquot sum) s(n): 438839414400
• 135825648000 is an abundant number, because the sum of its proper divisors (438839414400) is greater than itself. Its abundance is 303013766400

Bases of 135825648000

• Binary: 1111110011111110101101110100110000000₂
• Hexadecimal: 0x1F9FD6E980
• Base-36: 1QEB30QO

Squares and roots of 135825648000

• 135825648000 squared (135825648000²) is 18448606654619904000000
• 135825648000 cubed (135825648000³) is 2505793953560860654497792000000000
• The square root of 135825648000 is 368545.3133605147
• The cube root of 135825648000 is 5140.3646528781

Scales and comparisons

• 135,825,648,000 seconds is equal to 4,318 years, 43 weeks, 3 days, 2 hours, 40 minutes.
• To count from 1 to 135,825,648,000 would take you about eight thousand, six hundred thirty-seven 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 135825648000 cubic inches would be around 428.4 feet tall.

Recreational maths with 135825648000

• 135825648000 backwards is 000846528531
• 135825648000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135825648000's digits is 42
• More coming soon!