135428682144000
135,428,682,144,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135428682144000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
135428682144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 135428682144000:
28 × 3 × 53 × 73 × 192 × 11393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 19 × 19 × 11393)See below for interesting mathematical facts about the number 135428682144000 from the Numbermatics database.
Names of 135428682144000
- Cardinal: 135428682144000 can be written as One hundred thirty-five trillion, four hundred twenty-eight billion, six hundred eighty-two million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.35428682144 × 1014
Factors of 135428682144000
Divisors of 135428682144000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 64 70 75 76 80 84 95 96 98 100 105 112 114 120 125 128 133 140 147 150 152 160 168 175 190 192 196 200 210 224 228 240 245 250 256 266 280 285 294 300 304 320 336 343 350 361 375 380 384 392 399 400 420 448 456 475 480 490 500 525 532 560 570 588 600 608 640 665 672 686 700 722 735 750 760 768 784 798 800 840 875 896 912 931 950 960 980 1000 1029 1050 1064 1083 1120 1140 1176 1200 1216 1225 1280 1330 1344 1372 1400 1425 1444 1470 1500 1520 1568 1596 1600 1680 1715 1750 1792 1805 1824 1862 1900 1920 1960 1995 2000 2058 2100 2128 2166 2240 2280 2352 2375 2400 2432 2450 2527 2625 2660 2688 2744 2793 2800 2850 2888 2940 3000 3040 3136 3192 3200 3325 3360 3430 3500 3610 3648 3675 3724 3800 3840 3920 3990 4000 4116 4200 4256 4332 4480 4560 4655 4704 4750 4800 4864 4900 5054 5145 5250 5320 5376 5415 5488 5586 5600 5700 5776 5880 6000 6080 6125 6272 6384 6400 6517 6650 6720 6860 7000 7125 7220 7296 7350 7448 7581 7600 7840 7980 8000 8232 8400 8512 8575 8664 8960 9025 9120 9310 9408 9500 9600 9800 9975 10108 10290 10500 10640 10830 10976 11172 11200 11393 11400 11552 11760 12000 12160 12250 12544 12635 12768 13034 13300 13440 13720 13965 14000 14250 14440 14592 14700 14896 15162 15200 15680 15960 16000 16464 16625 16800 17024 17150 17328 17689 18050 18240 18375 18620 18816 19000 19200 19551 19600 19950 20216 20580 21000 21280 21660 21952 22344 22400 22786 22800 23104 23275 23520 24000 24320 24500 25270 25536 25725 26068 26600 26880 27075 27440 27930 28000 28500 28880 29400 29792 30324 30400 31360 31920 32000 32585 32928 33250 33600 34048 34179 34300 34656 35378 36100 36480 36750 37240 37632 37905 38000 39102 39200 39900 40432 41160 42000 42560 42875 43320 43904 44688 44800 45125 45572 45600 46208 46550 47040 48000 49000 49875 50540 51072 51450 52136 53067 53200 54150 54880 55860 56000 56965 57000 57760 58800 59584 60648 60800 62720 63175 63840 65170 65856 66500 67200 68358 68600 69312 69825 70756 72200 72960 73500 74480 75810 76000 78204 78400 79751 79800 80864 82320 84000 85120 85750 86640 87808 88445 89376 90250 91144 91200 92416 93100 94080 96000 97755 98000 99750 101080 102144 102900 104272 106134 106400 108300 109760 111720 112000 113930 114000 115520 116375 117600 119168 121296 121600 123823 126350 127680 128625 130340 131712 133000 134400 135375 136716 137200 138624 139650 141512 144400 147000 148960 151620 152000 156408 156800 159502 159600 161728 162925 164640 168000 170240 170895 171500 173280 176890 178752 180500 182288 182400 186200 188160 189525 195510 196000 199500 202160 205800 208544 212268 212800 216467 216600 219520 223440 224000 227860 228000 231040 232750 235200 238336 239253 242592 247646 252700 255360 257250 260680 263424 265335 266000 270750 273432 274400 277248 279300 283024 284825 288800 294000 297920 303240 304000 312816 313600 315875 319004 319200 323456 325850 329280 336000 341790 343000 346560 349125 353780 357504 361000 364576 364800 371469 372400 379050 391020 392000 398755 399000 404320 411600 417088 424536 425600 432934 433200 439040 442225 446880 455720 456000 462080 465500 470400 478506 485184 488775 495292 505400 510720 514500 521360 530670 532000 541500 546864 548800 558257 558600 566048 569650 577600 588000 595840 606480 608000 619115 625632 631750 638008 638400 646912 649401 651700 658560 672000 683580 686000 693120 698250 707560 715008 722000 729152 742938 744800 758100 782040 784000 797510 798000 808640 814625 823200 834176 849072 851200 854475 865868 866400 884450 893760 911440 912000 931000 940800 947625 957012 970368 977550 990584 1010800 1029000 1042720 1061340 1064000 1082335 1083000 1093728 1097600 1116514 1117200 1132096 1139300 1155200 1176000 1191680 1196265 1212960 1238230 1251264 1263500 1276016 1276800 1298802 1303400 1317120 1326675 1367160 1372000 1386240 1396500 1415120 1424125 1444000 1458304 1485876 1489600 1515269 1516200 1564080 1568000 1595020 1596000 1617280 1629250 1646400 1668352 1674771 1698144 1708950 1731736 1732800 1768900 1787520 1822880 1824000 1857345 1862000 1895250 1914024 1940736 1955100 1981168 1993775 2021600 2058000 2085440 2122680 2128000 2164670 2166000 2187456 2195200 2211125 2233028 2234400 2264192 2278600 2310400 2352000 2392530 2425920 2443875 2476460 2502528 2527000 2552032 2553600 2597604 2606800 2653350 2734320 2744000 2791285 2793000 2830240 2848250 2888000 2916608 2971752 2979200 3030538 3032400 3095575 3128160 3190040 3192000 3234560 3247005 3258500 3292800 3349542 3396288 3417900 3463472 3465600 3537800 3575040 3645760 3714690 3724000 3790500 3828048 3907799 3910200 3962336 3987550 4043200 4112873 4116000 4170880 4245360 4256000 4272375 4329340 4332000 4374912 4422250 4466056 4468800 4528384 4545807 4557200 4704000 4785060 4851840 4887750 4952920 5005056 5054000 5104064 5195208 5213600 5306700 5411675 5468640 5488000 5582570 5586000 5660480 5696500 5776000 5943504 5958400 5981325 6061076 6064800 6191150 6256320 6380080 6384000 6494010 6517000 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76560960 78155980 78204000 79246720 79751000 80864000 81175125 82257460 83123328 83738550 84855064 84907200 86370333 86586800 89321120 89376000 90916140 91144000 92867250 93787176 95096064 95701200 96977216 97694975 98708952 99058400 102081280 102821825 103904160 104272000 106068830 106134000 107185344 108233500 109372800 111651400 113209600 113645175 115160444 117233970 118870080 119626500 121221520 121296000 123386190 123823000 125049568 125126400 127282596 127601600 129880200 131611936 133981680 136716000 138538880 139564250 141512000 142913792 143950555 145465824 148496362 148587600 151526900 153121920 156311960 156408000 158493440 159103245 159502000 162350250 164514920 166246656 167477100 169710128 169814400 172740666 173173600 178642240 181832280 182288000 185734500 187574352 189408625 191402400 193954432 195389950 197417904 198116800 201530777 205643650 207808320 208544000 209346375 212137660 212268000 214370688 216467000 218745600 222744543 223302800 227290350 230320888 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719752775 727329120 742481810 742938000 750297408 757634500 765609600 781559800 789671616 792467200 795516225 806123108 822574600 831233280 837385500 848550640 849072000 863703330 865868000 890978172 893211200 909161400 921283552 937871760 957012000 969772160 976949750 987089520 990584000 1000396544 1007653885 1018260768 1028218250 1039041600 1052895488 1060688300 1071853440 1093728000 1113722715 1116514000 1136451750 1151604440 1163726592 1172339700 1187970896 1188700800 1209184662 1212215200 1233861900 1250495680 1272825960 1276016000 1298802000 1316119360 1325860375 1339816800 1357681024 1381925328 1385388800 1410715439 1439505550 1454658240 1465424625 1484963620 1485876000 1500594816 1515269000 1531219200 1542327375 1563119600 1579343232 1591032450 1612246216 1645149200 1674771000 1697101280 1698144000 1727406660 1731736000 1781956344 1786422400 1818322800 1842567104 1856204525 1875743520 1914024000 1939544320 1953899500 1974179040 1981168000 2015307770 2036521536 2056436500 2078083200 2121376600 2143706880 2159258325 2227445430 2233028000 2272903500 2303208880 2344679400 2375941792 2377401600 2418369324 2424430400 2467723800 2500991360 2545651920 2552032000 2597604000 2632238720 2651720750 2679633600 2715362048 2763850656 2821430878 2879011100 2909316480 2930849250 2969927240 2971752000 3001189632 3022961655 3030538000 3084654750 3126239200 3158686464 3182064900 3224492432 3290298400 3349542000 3394202560 3454813320 3463472000 3563912688 3572844800 3598763875 3636645600 3685134208 3712409050 3751487040 3828048000 3907799000 3948358080 3962336000 3977581125 4030615540 4073043072 4112873000 4156166400 4232146317 4242753200 4318516650 4454890860 4466056000 4545807000 4606417760 4689358800 4751883584 4836738648 4848860800 4935447600 5001982720 5038269425 5091303840 5195208000 5264477440 5303441500 5359267200 5527701312 5568613575 5642861756 5758022200 5818632960 5861698500 5939854480 5943504000 6045923310 6061076000 6169309500 6252478400 6364129800 6448984864 6580596800 6699084000 6788405120 6909626640 6926944000 7053577195 7127825376 7197527750 7273291200 7370268416 7424818100 7502974080 7656096000 7815598000 7896716160 7955162250 8061231080 8146086144 8225746000 8464292634 8485506400 8637033300 8909781720 8932112000 9091614000 9212835520 9281022625 9378717600 9503767168 9673477296 9697721600 9870895200 10076538850 10182607680 10390416000 10606883000 10718534400 10796291625 11055402624 11137227150 11285723512 11516044400 11723397000 11879708960 11887008000 12091846620 12122152000 12338619000 12504956800 12728259600 12897969728 13161193600 13398168000 13576810240 13819253280 14107154390 14255650752 14395055500 14546582400 14849636200 15005948160 15114808275 15631196000 15793432320 15910324500 16122462160 16451492000 16928585268 16971012800 17274066600 17819563440 17864224000 18183228000 18425671040 18562045250 18757435200 19007534336 19346954592 19741790400 20153077700 20365215360 20780832000 21160731585 21213766000 21592583250 22110805248 22274454300 22571447024 23032088800 23446794000 23759417920 24183693240 24244304000 24677238000 25009913600 25191347125 25456519200 25795939456 26322387200 26796336000 27638506560 27843067875 28214308780 28511301504 28790111000 29093164800 29699272400 30229616550 31262392000 31820649000 32244924320 32902984000 33857170536 33942025600 34548133200 35267885975 35639126880 36366456000 36851342080 37124090500 37514870400 38693909184 39483580800 40306155400 40730430720 42321463170 42427532000 43185166500 44548908600 45142894048 46064177600 46893588000 47518835840 48367386480 48488608000 49354476000 50382694250 50913038400 51591878912 53592672000 55277013120 55686135750 56428617560 57022603008 57580222000 59398544800 60459233100 62524784000 63641298000 64489848640 65805968000 67714341072 67884051200 69096266400 70535771950 71278253760 72732912000 74248181000 75029740800 75574041375 77387818368 78967161600 80612310800 84642926340 84855064000 86370333000 89097817200 90285788096 92128355200 93787176000 95037671680 96734772960 98708952000 100765388500 101826076800 105803657925 110554026240 111372271500 112857235120 115160444000 118797089600 120918466200 125049568000 127282596000 128979697280 131611936000 135428682144 138192532800 141071543900 142556507520 145465824000 148496362000 151148082750 154775636736 161224621600 169285852680 169710128000 172740666000 176339429875 178195634400 180571576192 184256710400 187574352000 193469545920 197417904000 201530777000 203652153600 211607315850 222744543000 225714470240 230320888000 237594179200 241836932400 254565192000 257959394560 270857364288 276385065600 282143087800 285113015040 296992724000 302296165500 322449243200 338571705360 339420256000 345481332000 352678859750 356391268800 361143152384 375148704000 386939091840 394835808000 403061554000 423214631700 445489086000 451428940480 460641776000 475188358400 483673864800 509130384000 529018289625 541714728576 552770131200 564286175600 593985448000 604592331000 644898486400 677143410720 690962664000 705357719500 712782537600 773878183680 806123108000 846429263400 890978172000 902857880960 921283552000 967347729600 1018260768000 1058036579250 1083429457152 1128572351200 1187970896000 1209184662000 1289796972800 1354286821440 1381925328000 1410715439000 1425565075200 1612246216000 1692858526800 1781956344000 1805715761920 1934695459200 2116073158500 2257144702400 2375941792000 2418369324000 2708573642880 2763850656000 2821430878000 3224492432000 3385717053600 3563912688000 3869390918400 4232146317000 4514289404800 4836738648000 5417147285760 5642861756000 6448984864000 6771434107200 7127825376000 8464292634000 9028578809600 9673477296000 11285723512000 13542868214400 16928585268000 19346954592000 22571447024000 27085736428800 33857170536000 45142894048000 67714341072000 135428682144000
- Sum of all divisors σ(n): 553689989798400
- Sum of proper divisors (its aliquot sum) s(n): 418261307654400
- 135428682144000 is an abundant number, because the sum of its proper divisors (418261307654400) is greater than itself. Its abundance is 282832625510400
Bases of 135428682144000
- Binary: 111101100101011111100100111110111011001000000002
- Hexadecimal: 0x7B2BF27DD900
- Base-36: 1C072SOLXC
Squares and roots of 135428682144000
- 135428682144000 squared (1354286821440002) is 18340927947260584436736000000
- 135428682144000 cubed (1354286821440003) is 2483887701195560085222393020841984000000000
-
The
square root of 135428682144000 is 11637382.9594114501 -
The
cube root of 135428682144000 is 51353.5200018473
Scales and comparisons
How big is 135428682144000?- 135,428,682,144,000 seconds is equal to 4,306,213 years, 9 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 135,428,682,144,000 would take you about ten million, seven hundred sixty-five thousand, five hundred thirty-two 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 135428682144000 cubic inches would be around 4279.5 feet tall.
Recreational maths with 135428682144000
- 135428682144000 backwards is 000441286824531
- 135428682144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135428682144000's digits is 48
- More coming soon!
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The information we have on file for 135428682144000 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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