135084768000
135,084,768,000 is an even composite number composed of six prime numbers multiplied together.
135084768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 135084768000:
28 × 3 × 53 × 72 × 13 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 47 × 47)See below for interesting mathematical facts about the number 135084768000 from the Numbermatics database.
Names of 135084768000
- Cardinal: 135084768000 can be written as One hundred thirty-five billion, eighty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.35084768 × 1011
Factors of 135084768000
Divisors of 135084768000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 32 35 39 40 42 47 48 49 50 52 56 60 64 65 70 75 78 80 84 91 94 96 98 100 104 105 112 120 125 128 130 140 141 147 150 156 160 168 175 182 188 192 195 196 200 208 210 224 235 240 245 250 256 260 273 280 282 294 300 312 320 325 329 336 350 364 375 376 384 390 392 400 416 420 448 455 470 480 490 500 520 525 546 560 564 588 600 611 624 637 640 650 658 672 700 705 728 735 750 752 768 780 784 800 832 840 875 896 910 940 960 975 980 987 1000 1040 1050 1092 1120 1128 1175 1176 1200 1222 1225 1248 1274 1280 1300 1316 1344 1365 1400 1410 1456 1470 1500 1504 1560 1568 1600 1625 1645 1664 1680 1750 1792 1820 1833 1880 1911 1920 1950 1960 1974 2000 2080 2100 2184 2209 2240 2256 2275 2303 2350 2352 2400 2444 2450 2496 2548 2600 2625 2632 2688 2730 2800 2820 2912 2940 3000 3008 3055 3120 3136 3185 3200 3250 3290 3328 3360 3500 3525 3640 3666 3675 3760 3822 3840 3900 3920 3948 4000 4160 4200 4277 4368 4418 4480 4512 4550 4606 4700 4704 4800 4875 4888 4900 4935 4992 5096 5200 5250 5264 5376 5460 5600 5640 5824 5875 5880 6000 6016 6110 6125 6240 6272 6370 6400 6500 6580 6627 6720 6825 6909 7000 7050 7280 7332 7350 7520 7644 7800 7840 7896 8000 8225 8320 8400 8554 8736 8836 8960 9024 9100 9165 9212 9400 9408 9555 9600 9750 9776 9800 9870 9984 10192 10400 10500 10528 10920 11045 11200 11280 11375 11515 11648 11750 11760 12000 12032 12220 12250 12480 12544 12740 12831 13000 13160 13254 13440 13650 13818 14000 14100 14560 14664 14700 15040 15275 15288 15463 15600 15680 15792 15925 16000 16450 16640 16800 17108 17472 17625 17672 18048 18200 18330 18375 18424 18800 18816 19110 19200 19500 19552 19600 19740 20384 20800 21000 21056 21385 21840 22090 22400 22560 22750 23030 23296 23500 23520 24000 24440 24500 24675 24960 25480 25662 26000 26320 26508 26880 27300 27636 28000 28200 28717 29120 29328 29400 29939 30080 30550 30576 30926 31200 31360 31584 31850 32000 32900 33135 33600 34125 34216 34545 34944 35250 35344 36096 36400 36660 36750 36848 37600 37632 38220 39000 39104 39200 39480 40768 41125 41600 42000 42112 42770 43680 44180 44800 45120 45500 45825 46060 46389 47000 47040 47775 48000 48880 49000 49350 49920 50960 51324 52000 52640 53016 54600 55225 55272 56000 56400 57434 57575 58240 58656 58800 59878 60160 61100 61152 61852 62400 62720 63168 63700 64155 65800 66270 67200 68250 68432 69090 69888 70500 70688 72800 73320 73500 73696 75200 76375 76440 77315 78000 78208 78400 78960 79625 81536 82250 83200 84000 84224 85540 86151 87360 88360 89817 90240 91000 91650 92120 92778 94000 94080 95550 96000 97760 98000 98700 101920 102648 104000 105280 106032 106925 108241 109200 110450 110544 112000 112800 114868 115150 116480 117312 117600 119756 122200 122304 123375 123704 124800 126336 127400 128310 131600 132540 134400 136500 136864 138180 141000 141376 143585 145600 146640 147000 147392 149695 150400 152750 152880 154630 156000 156416 156800 157920 159250 163072 164500 165675 168000 171080 172302 172725 174720 176720 179634 180480 182000 183300 184240 185556 188000 188160 191100 195520 196000 197400 201019 203840 205296 208000 210560 212064 213850 216482 218400 220900 221088 224000 225600 229125 229736 230300 231945 234624 235200 238875 239512 244400 244608 246750 247408 249600 252672 254800 256620 263200 265080 273000 273728 276125 276360 282000 282752 287170 287875 291200 293280 294000 294784 299390 300800 305500 305760 309260 312000 313600 315840 318500 320775 324723 329000 331350 336000 342160 344604 345450 349440 353440 359268 364000 366600 368480 371112 376000 382200 386575 391040 392000 394800 402038 407680 410592 416000 421120 424128 427700 430755 432964 436800 441800 442176 449085 451200 458250 459472 460600 463890 469248 470400 477750 479024 488800 489216 493500 494816 509600 513240 526400 530160 534625 541205 546000 547456 552250 552720 564000 565504 574340 575750 582400 586560 588000 589568 598780 603057 611000 611520 618520 624000 631680 637000 641550 649446 658000 662700 672000 684320 689208 690900 706880 717925 718536 728000 733200 736960 742224 748475 752000 764400 773150 782080 784000 789600 804076 815360 821184 828375 848256 855400 861510 863625 865928 873600 883600 884352 898170 902400 916500 918944 921200 927780 940800 955500 958048 977600 987000 989632 1005095 1019200 1026480 1052800 1060320 1069250 1082410 1092000 1094912 1104500 1105440 1128000 1148680 1151500 1159725 1173120 1176000 1197560 1206114 1222000 1223040 1237040 1248000 1263360 1274000 1283100 1298892 1316000 1325400 1368640 1378416 1381800 1407133 1413760 1435850 1437072 1456000 1466400 1473920 1484448 1496950 1504000 1528800 1546300 1568000 1579200 1603875 1608152 1623615 1642368 1656750 1696512 1710800 1723020 1727250 1731856 1747200 1767200 1768704 1796340 1833000 1837888 1842400 1855560 1911000 1916096 1932875 1955200 1974000 1979264 2010190 2038400 2052960 2105600 2120640 2138500 2153775 2164820 2184000 2209000 2210880 2245425 2256000 2297360 2303000 2319450 2346240 2352000 2395120 2412228 2444000 2446080 2474080 2548000 2566200 2597784 2632000 2650800 2706025 2737280 2756832 2763600 2814266 2827520 2871700 2874144 2912000 2932800 2947840 2968896 2993900 3015285 3057600 3092600 3158400 3207750 3216304 3247230 3284736 3313500 3421600 3446040 3454500 3463712 3534400 3589625 3592680 3666000 3675776 3684800 3711120 3742375 3822000 3832192 3865750 3910400 3948000 3958528 4020380 4076800 4105920 4221399 4241280 4277000 4307550 4329640 4368000 4418000 4421760 4490850 4512000 4594720 4606000 4638900 4704000 4790240 4824456 4888000 4948160 5025475 5096000 5132400 5195568 5264000 5301600 5412050 5474560 5513664 5527200 5628532 5743400 5748288 5798625 5865600 5937792 5987800 6030570 6115200 6185200 6316800 6415500 6432608 6494460 6627000 6843200 6892080 6909000 6927424 7035665 7068800 7179250 7185360 7332000 7351552 7369600 7422240 7484750 7644000 7664384 7731500 7896000 8040760 8118075 8211840 8442798 8482560 8554000 8615100 8659280 8736000 8836000 8843520 8981700 9189440 9212000 9277800 9580480 9648912 9776000 9896320 10050950 10192000 10264800 10391136 10528000 10603200 10768875 10824100 11027328 11054400 11227125 11257064 11486800 11496576 11597250 11731200 11875584 11975600 12061140 12230400 12370400 12831000 12865216 12988920 13254000 13530125 13686400 13784160 13818000 13854848 14071330 14137600 14358500 14370720 14664000 14739200 14844480 14969500 15076425 15288000 15463000 15792000 16081520 16236150 16423680 16885596 17108000 17230200 17318560 17672000 17963400 18378880 18424000 18555600 19160960 19297824 19552000 19792640 20101900 20384000 20529600 20782272 21106995 21206400 21537750 21648200 22054656 22108800 22454250 22514128 22973600 22993152 23194500 23951200 24122280 24740800 25127375 25662000 25730432 25977840 26508000 27060250 27372800 27568320 27636000 27709696 28142660 28717000 28741440 29328000 29688960 29939000 30152850 30576000 30926000 31584000 32163040 32472300 33771192 34216000 34460400 34637120 35178325 35344000 35926800 36757760 36848000 37111200 38321920 38595648 40203800 40590375 41059200 41564544 42213990 42412800 43075500 43296400 44217600 44908500 45028256 45947200 46389000 47902400 48244560 49481600 50254750 51324000 51460864 51955680 53016000 54120500 55136640 55272000 56285320 57434000 57482880 58656000 59377920 59878000 60305700 61152000 61852000 64326080 64944600 67542384 68432000 68920800 69274240 70356650 70688000 71853600 73696000 74222400 75382125 77191296 80407600 81180750 82118400 83129088 84427980 86151000 86592800 89817000 90056512 91894400 92778000 95804800 96489120 98963200 100509500 102648000 103911360 105534975 106032000 108241000 110273280 110544000 112570640 114868000 114965760 119756000 120611400 123704000 128652160 129889200 135084768 136864000 137841600 138548480 140713300 143707200 148444800 150764250 154382592 160815200 162361500 168855960 172302000 173185600 175891625 179634000 180113024 183788800 185556000 191609600 192978240 201019000 205296000 207822720 211069950 212064000 216482000 221088000 225141280 229736000 239512000 241222800 247408000 257304320 259778400 270169536 275683200 281426600 287414400 296889600 301528500 321630400 324723000 337711920 344604000 346371200 351783250 359268000 360226048 371112000 385956480 402038000 410592000 415645440 422139900 432964000 450282560 459472000 479024000 482445600 494816000 519556800 527674875 540339072 551366400 562853200 574828800 603057000 643260800 649446000 675423840 689208000 692742400 703566500 718536000 742224000 771912960 804076000 844279800 865928000 900565120 918944000 958048000 964891200 1039113600 1055349750 1080678144 1125706400 1206114000 1286521600 1298892000 1350847680 1378416000 1407133000 1437072000 1484448000 1608152000 1688559600 1731856000 1801130240 1929782400 2078227200 2110699500 2251412800 2412228000 2597784000 2701695360 2756832000 2814266000 2874144000 3216304000 3377119200 3463712000 3859564800 4221399000 4502825600 4824456000 5195568000 5403390720 5628532000 6432608000 6754238400 8442798000 9005651200 9648912000 10391136000 11257064000 13508476800 16885596000 19297824000 22514128000 27016953600 33771192000 45028256000 67542384000 135084768000
- Sum of all divisors σ(n): 574301486304
- Sum of proper divisors (its aliquot sum) s(n): 439216718304
- 135084768000 is an abundant number, because the sum of its proper divisors (439216718304) is greater than itself. Its abundance is 304131950304
Bases of 135084768000
- Binary: 11111011100111010110111111011000000002
- Hexadecimal: 0x1F73ADFB00
- Base-36: 1Q21ZE2O
Squares and roots of 135084768000
- 135084768000 squared (1350847680002) is 18247894545613824000000
- 135084768000 cubed (1350847680003) is 2465012601182708832632832000000000
-
The
square root of 135084768000 is 367538.7979519985 -
The
cube root of 135084768000 is 5131.0013282731
Scales and comparisons
How big is 135084768000?- 135,084,768,000 seconds is equal to 4,295 years, 14 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 135,084,768,000 would take you about eight thousand, five hundred ninety 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 135084768000 cubic inches would be around 427.6 feet tall.
Recreational maths with 135084768000
- 135084768000 backwards is 000867480531
- 135084768000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135084768000's digits is 42
- More coming soon!
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The information we have on file for 135084768000 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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