135504702144000
135,504,702,144,000 is an even composite number composed of eight prime numbers multiplied together.
135504702144000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of five thousand, one hundred twenty divisors.
Prime factorization of 135504702144000:
29 × 33 × 53 × 7 × 17 × 29 × 31 × 733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 29 × 31 × 733)See below for interesting mathematical facts about the number 135504702144000 from the Numbermatics database.
Names of 135504702144000
- Cardinal: 135504702144000 can be written as One hundred thirty-five trillion, five hundred four billion, seven hundred two million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.35504702144 × 1014
Factors of 135504702144000
Divisors of 135504702144000
- Number of divisors d(n): 5120
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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 29 30 31 32 34 35 36 40 42 45 48 50 51 54 56 58 60 62 63 64 68 70 72 75 80 84 85 87 90 93 96 100 102 105 108 112 116 119 120 124 125 126 128 135 136 140 144 145 150 153 155 160 168 170 174 175 180 186 189 192 200 203 204 210 216 217 224 225 232 238 240 248 250 252 255 256 261 270 272 279 280 288 290 300 306 310 315 320 336 340 348 350 357 360 372 375 378 384 400 406 408 420 425 432 434 435 448 450 459 464 465 476 480 493 496 500 504 510 512 522 525 527 540 544 558 560 576 580 595 600 609 612 620 630 640 651 672 675 680 696 700 714 720 725 733 744 750 756 765 768 775 783 800 812 816 837 840 850 864 868 870 875 896 899 900 918 928 930 945 952 960 986 992 1000 1008 1015 1020 1044 1050 1054 1071 1080 1085 1088 1116 1120 1125 1152 1160 1190 1200 1218 1224 1240 1260 1275 1280 1302 1305 1344 1350 1360 1392 1395 1400 1428 1440 1450 1466 1479 1488 1500 1512 1530 1536 1550 1566 1575 1581 1600 1624 1632 1674 1680 1700 1728 1736 1740 1750 1785 1792 1798 1800 1827 1836 1856 1860 1890 1904 1920 1953 1972 1984 2000 2016 2030 2040 2088 2100 2108 2125 2142 2160 2170 2175 2176 2199 2232 2240 2250 2295 2304 2320 2325 2380 2400 2436 2448 2465 2480 2520 2550 2560 2604 2610 2625 2635 2688 2697 2700 2720 2784 2790 2800 2856 2880 2900 2932 2958 2975 2976 3000 3024 3045 3060 3100 3132 3150 3162 3200 3213 3248 3255 3264 3348 3360 3375 3400 3451 3456 3472 3480 3500 3570 3584 3596 3600 3625 3654 3665 3672 3689 3712 3720 3780 3808 3825 3840 3875 3906 3915 3944 3968 4000 4032 4060 4080 4176 4185 4200 4216 4250 4284 4320 4340 4350 4352 4398 4437 4464 4480 4495 4500 4590 4608 4640 4650 4725 4743 4760 4800 4872 4896 4930 4960 5040 5075 5100 5131 5208 5220 5250 5270 5355 5376 5394 5400 5425 5440 5481 5568 5580 5600 5712 5760 5800 5859 5864 5916 5950 5952 6000 6048 6090 6120 6200 6264 6293 6300 6324 6375 6400 6426 6496 6510 6525 6528 6597 6696 6720 6750 6800 6902 6912 6944 6960 6975 7000 7140 7192 7200 7250 7308 7330 7344 7378 7395 7424 7440 7560 7616 7650 7680 7750 7812 7830 7875 7888 7905 7936 8000 8064 8091 8120 8160 8352 8370 8400 8432 8500 8568 8640 8680 8700 8704 8796 8874 8925 8928 8960 8990 9000 9135 9180 9280 9300 9450 9486 9520 9600 9744 9765 9792 9860 9920 10080 10150 10200 10262 10353 10416 10440 10500 10540 10710 10752 10788 10800 10850 10875 10880 10962 10995 11067 11136 11160 11200 11424 11475 11520 11600 11625 11718 11728 11832 11900 11904 12000 12096 12180 12240 12325 12400 12461 12528 12586 12600 12648 12750 12800 12852 12992 13020 13050 13056 13175 13194 13311 13392 13440 13485 13500 13600 13804 13824 13888 13920 13950 14000 14229 14280 14384 14400 14500 14616 14660 14688 14756 14790 14848 14875 14880 15120 15225 15232 15283 15300 15393 15500 15624 15660 15750 15776 15810 15872 16000 16065 16128 16182 16240 16275 16320 16704 16740 16800 16864 17000 17136 17255 17280 17360 17400 17592 17748 17850 17856 17920 17980 18000 18270 18325 18360 18445 18560 18600 18879 18900 18972 19040 19125 19200 19488 19530 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51424934400 51620838912 51917510400 52037136000 52931524275 53139098880 53771707200 54638992800 54971481600 55353228000 55625904000 56460292560 56934748800 58281592320 58407199200 58812804750 59043443200 60224312064 60493170600 60709992000 61621056000 62272381500 62301012480 62444563200 62733658400 63260832000 63766918656 64281168000 64526048640 64896888000 66423873600 66751084800 67214634000 67752351072 68298741000 68714352000 69382848000 70575365700 71168436000 71695609600 72851990400 73008999000 73804304000 74167872000 75280390080 75364128000 75616463250 75912998400 77431258368 77876265600 78055704000 78417073000 79708648320 80657560800 80946656000 83029842000 83438856000 84690438840 85708224000 86034731520 86529184000 87422388480 88219207125 88565164800 89619512000 90336468096 91064988000 91619136000 92431584000 93451518720 94100487600 94891248000 96789072960 97135987200 97345332000 99635810400 100373853440 100821951000 103835020800 104074272000 105863048550 106278197760 107543414400 109277985600 110706456000 111251808000 112920585120 113869497600 116814398400 117625609500 120448624128 120986341200 121419984000 124544763000 124889126400 125467316800 126521664000 128562336000 129052097280 129793776000 132847747200 133502169600 134429268000 135504702144 136597482000 137428704000 141150731400 142336872000 143391219200 145703980800 146017998000 147608608000 150560780160 150728256000 151232926500 154862516736 155752531200 156111408000 156834146000 159417296640 161315121600 161893312000 166059684000 166877712000 169380877680 173058368000 174844776960 176438414250 177130329600 179239024000 180672936192 182129976000 184863168000 186903037440 188200975200 189782496000 193578145920 194690664000 199271620800 200747706880 201643902000 208148544000 211726097100 215086828800 218555971200 221412912000 222503616000 225841170240 227738995200 233628796800 235251219000 241972682400 242839968000 249089526000 250934633600 257124672000 258104194560 259587552000 264657621375 265695494400 268858536000 271009404288 273194964000 274857408000 282301462800 284673744000 291407961600 292035996000 295217216000 301121560320 302465853000 311505062400 312222816000 313668292000 318834593280 322630243200 332119368000 333755424000 338761755360 352876828500 358478048000 361345872384 364259952000 376401950400 379564992000 387156291840 389381328000 398543241600 403287804000 423452194200 430173657600 437111942400 442825824000 451682340480 467257593600 470502438000 483945364800 485679936000 498179052000 501869267200 519175104000 529315242750 531390988800 537717072000 542018808576 546389928000 564602925600 569347488000 584071992000 602243120640 604931706000 624445632000 627336584000 645260486400 664238736000 667510848000 677523510720 705753657000 716956096000 728519904000 752803900800 774312583680 778762656000 797086483200 806575608000 846904388400 874223884800 885651648000 903364680960 934515187200 941004876000 967890729600 996358104000 1003738534400 1058630485500 1075434144000 1084037617152 1092779856000 1129205851200 1138694976000 1168143984000 1209863412000 1254673168000 1290520972800 1328477472000 1355047021440 1411507314000 1457039808000 1505607801600 1557525312000 1594172966400 1613151216000 1693808776800 1806729361920 1882009752000 1935781459200 1992716208000 2117260971000 2150868288000 2185559712000 2258411702400 2336287968000 2419726824000 2509346336000 2656954944000 2710094042880 2823014628000 3011215603200 3226302432000 3387617553600 3764019504000 3871562918400 3985432416000 4234521942000 4371119424000 4516823404800 4672575936000 4839453648000 5018692672000 5420188085760 5646029256000 6452604864000 6775235107200 7528039008000 7970864832000 8469043884000 9033646809600 9678907296000 11292058512000 13550470214400 15056078016000 16938087768000 19357814592000 22584117024000 27100940428800 33876175536000 45168234048000 67752351072000 135504702144000
- Sum of all divisors σ(n): 647724028723200
- Sum of proper divisors (its aliquot sum) s(n): 512219326579200
- 135504702144000 is an abundant number, because the sum of its proper divisors (512219326579200) is greater than itself. Its abundance is 376714624435200
Bases of 135504702144000
- Binary: 111101100111101101001011010001011111110000000002
- Hexadecimal: 0x7B3DA5A2FE00
- Base-36: 1C160111C0
Squares and roots of 135504702144000
- 135504702144000 squared (1355047021440002) is 18361524303134158196736000000
- 135504702144000 cubed (1355047021440003) is 2488072881606011272120887833001984000000000
-
The
square root of 135504702144000 is 11640648.6994497003 -
The
cube root of 135504702144000 is 51363.1269386263
Scales and comparisons
How big is 135504702144000?- 135,504,702,144,000 seconds is equal to 4,308,630 years, 20 weeks.
-
To count from 1 to 135,504,702,144,000 would take you about ten million, seven hundred seventy-one thousand, five hundred seventy-five 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 135504702144000 cubic inches would be around 4280.3 feet tall.
Recreational maths with 135504702144000
- 135504702144000 backwards is 000441207405531
- 135504702144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135504702144000's digits is 36
- More coming soon!
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The information we have on file for 135504702144000 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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