135387148288000
135,387,148,288,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135387148288000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
135387148288000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 135387148288000:
215 × 53 × 7 × 412 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 41 × 41 × 53 × 53)See below for interesting mathematical facts about the number 135387148288000 from the Numbermatics database.
Names of 135387148288000
- Cardinal: 135387148288000 can be written as One hundred thirty-five trillion, three hundred eighty-seven billion, one hundred forty-eight million, two hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.35387148288 × 1014
Factors of 135387148288000
Divisors of 135387148288000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 53 56 64 70 80 82 100 106 112 125 128 140 160 164 175 200 205 212 224 250 256 265 280 287 320 328 350 371 400 410 424 448 500 512 530 560 574 640 656 700 742 800 820 848 875 896 1000 1024 1025 1060 1120 1148 1280 1312 1325 1400 1435 1484 1600 1640 1681 1696 1750 1792 1855 2000 2048 2050 2120 2173 2240 2296 2560 2624 2650 2800 2809 2870 2968 3200 3280 3362 3392 3500 3584 3710 4000 4096 4100 4240 4346 4480 4592 5120 5125 5248 5300 5600 5618 5740 5936 6400 6560 6625 6724 6784 7000 7168 7175 7420 8000 8192 8200 8405 8480 8692 8960 9184 9275 10240 10250 10496 10600 10865 11200 11236 11480 11767 11872 12800 13120 13250 13448 13568 14000 14045 14336 14350 14840 15211 16000 16384 16400 16810 16960 17384 17920 18368 18550 19663 20480 20500 20992 21200 21730 22400 22472 22960 23534 23744 25600 26240 26500 26896 27136 28000 28090 28672 28700 29680 30422 32000 32768 32800 33620 33920 34768 35840 35875 36736 37100 39326 40960 41000 41984 42025 42400 43460 44800 44944 45920 46375 47068 47488 51200 52480 53000 53792 54272 54325 56000 56180 57344 57400 58835 59360 60844 64000 65600 67240 67840 69536 70225 71680 71750 73472 74200 76055 78652 81920 82000 83968 84050 84800 86920 89093 89600 89888 91840 92750 94136 94976 98315 102400 104960 106000 107584 108544 108650 112000 112360 114688 114800 115169 117670 118720 121688 128000 131200 134480 135680 139072 140450 143360 143500 146944 148400 152110 157304 163840 164000 167936 168100 169600 173840 178186 179200 179776 183680 185500 188272 189952 196630 204800 209920 210125 212000 215168 217088 217300 224000 224720 229376 229600 230338 235340 237440 243376 256000 262400 268960 271360 271625 278144 280900 286720 287000 293888 294175 296800 304220 314608 328000 335872 336200 339200 347680 351125 356372 358400 359552 367360 371000 376544 379904 380275 393260 409600 419840 420250 424000 430336 434176 434600 445465 448000 449440 459200 460676 470680 474880 486752 491575 512000 524800 537920 542720 543250 556288 561800 573440 574000 575845 587776 588350 593600 608440 623651 629216 656000 671744 672400 678400 695360 702250 712744 716800 719104 734720 742000 753088 759808 760550 786520 806183 819200 839680 840500 848000 860672 868352 869200 890930 896000 898880 918400 921352 941360 949760 973504 983150 1024000 1049600 1075840 1085440 1086500 1112576 1123600 1146880 1148000 1151690 1175552 1176700 1187200 1216880 1247302 1258432 1312000 1343488 1344800 1356800 1390720 1404500 1425488 1433600 1438208 1469440 1470875 1484000 1506176 1519616 1521100 1573040 1612366 1679360 1681000 1696000 1721344 1736704 1738400 1781860 1792000 1797760 1836800 1842704 1882720 1899520 1901375 1947008 1966300 2048000 2099200 2151680 2170880 2173000 2225152 2227325 2247200 2296000 2303380 2351104 2353400 2374400 2433760 2457875 2494604 2516864 2624000 2689600 2713600 2781440 2809000 2850976 2867200 2876416 2879225 2938880 2941750 2968000 3012352 3039232 3042200 3118255 3146080 3224732 3358720 3362000 3392000 3442688 3476800 3563720 3584000 3595520 3673600 3685408 3765440 3799040 3802750 3894016 3932600 4030915 4096000 4198400 4303360 4341760 4346000 4450304 4454650 4494400 4592000 4606760 4702208 4706800 4721929 4748800 4867520 4915750 4989208 5033728 5248000 5379200 5427200 5562880 5618000 5701952 5734400 5752832 5758450 5877760 5883500 5936000 6024704 6078464 6084400 6236510 6292160 6449464 6717440 6724000 6784000 6885376 6953600 7127440 7168000 7191040 7347200 7370816 7530880 7598080 7605500 7788032 7865200 8061830 8396800 8606720 8683520 8692000 8900608 8909300 8988800 9184000 9213520 9404416 9413600 9443858 9497600 9735040 9831500 9978416 10067456 10496000 10758400 10854400 11125760 11136625 11236000 11403904 11505664 11516900 11755520 11767000 11872000 12049408 12156928 12168800 12473020 12584320 12898928 13448000 13568000 13770752 13907200 14254880 14336000 14382080 14396125 14694400 14741632 15061760 15196160 15211000 15576064 15591275 15730400 16123660 16793600 17213440 17384000 17801216 17818600 17977600 18368000 18427040 18827200 18887716 18995200 19470080 19663000 19956832 20134912 20154575 20992000 21516800 21708800 22251520 22273250 22472000 22807808 23011328 23033800 23511040 23534000 23609645 23744000 24098816 24337600 24946040 25168640 25797856 26896000 27136000 27541504 27814400 28509760 28672000 28764160 28792250 29388800 29483264 30123520 30392320 30422000 31152128 31182550 31460800 32247320 33053503 33587200 34426880 34768000 35602432 35637200 35955200 36736000 36854080 37654400 37775432 37990400 38940160 39326000 39913664 40269824 40309150 41984000 43033600 43417600 44503040 44546500 44944000 45615616 46022656 46067600 47022080 47068000 47219290 47488000 48197632 48675200 49892080 50337280 51595712 53792000 54272000 55083008 55628800 57019520 57528320 57584500 58777600 58966528 60247040 60784640 60844000 62304256 62365100 62921600 64494640 66107006 68853760 69536000 71204864 71274400 71910400 73472000 73708160 75308800 75550864 75980800 77880320 77956375 78652000 79827328 80539648 80618300 83968000 86067200 89006080 89093000 89888000 91231232 92045312 92135200 94136000 94438580 94976000 96395264 97350400 99784160 100674560 100772875 103191424 107584000 108544000 111257600 114039040 115056640 115169000 117555200 117933056 118048225 120494080 121688000 124608512 124730200 125843200 128989280 132214012 137707520 139072000 142548800 143820800 146944000 147416320 150617600 151101728 151961600 155760640 155912750 157304000 159654656 161079296 161236600 165267515 167936000 172134400 178012160 178186000 179776000 182462464 184270400 188272000 188877160 189952000 192790528 194700800 199568320 201349120 201545750 206382848 215168000 217088000 222515200 228078080 230113280 230338000 235110400 235866112 236096450 240988160 243376000 249217024 249460400 251686400 257978560 264428024 275415040 278144000 285097600 287641600 293888000 294832640 301235200 302203456 303923200 311521280 311825500 314608000 319309312 322158592 322473200 330535030 344268800 356024320 356372000 359552000 364924928 368540800 376544000 377754320 379904000 385581056 389401600 399136640 402698240 403091500 412765696 430336000 445030400 456156160 460226560 460676000 471732224 472192900 481976320 486752000 498434048 498920800 503372800 515957120 528856048 556288000 570195200 575283200 587776000 589665280 590241125 602470400 604406912 623042560 623651000 629216000 638618624 644317184 644946400 661070060 688537600 712744000 719104000 729849856 737081600 753088000 755508640 759808000 778803200 798273280 805396480 806183000 825531392 826337575 860672000 890060800 912312320 921352000 943464448 944385800 963952640 973504000 997841600 1006745600 1031914240 1057712096 1112576000 1140390400 1150566400 1175552000 1179330560 1180482250 1204940800 1208813824 1246085120 1247302000 1258432000 1277237248 1289892800 1322140120 1377075200 1425488000 1438208000 1459699712 1474163200 1506176000 1511017280 1519616000 1557606400 1596546560 1610792960 1612366000 1651062784 1652675150 1721344000 1780121600 1824624640 1842704000 1886928896 1888771600 1927905280 1947008000 1995683200 2013491200 2063828480 2115424192 2225152000 2280780800 2301132800 2358661120 2360964500 2409881600 2417627648 2492170240 2494604000 2516864000 2554474496 2579785600 2644280240 2850976000 2876416000 2919399424 2948326400 3012352000 3022034560 3115212800 3193093120 3221585920 3224732000 3302125568 3305350300 3442688000 3649249280 3685408000 3773857792 3777543200 3894016000 3991366400 4026982400 4127656960 4131687875 4230848384 4450304000 4561561600 4717322240 4721929000 4819763200 4835255296 4989208000 5033728000 5108948992 5159571200 5288560480 5701952000 5752832000 5896652800 6024704000 6044069120 6230425600 6386186240 6449464000 6604251136 6610700600 6885376000 7298498560 7370816000 7555086400 7788032000 7982732800 8053964800 8255313920 8263375750 8461696768 8900608000 9123123200 9434644480 9443858000 9639526400 9670510592 9978416000 10067456000 10217897984 10319142400 10577120960 11403904000 11505664000 11793305600 12049408000 12088138240 12460851200 12772372480 12898928000 13208502272 13221401200 14596997120 14741632000 15110172800 15576064000 15965465600 16107929600 16510627840 16526751500 16923393536 18246246400 18869288960 18887716000 19341021184 19956832000 20134912000 20435795968 20638284800 21154241920 22807808000 23586611200 24098816000 24176276480 25544744960 25797856000 26417004544 26442802400 29483264000 30220345600 31152128000 31930931200 33021255680 33053503000 33846787072 36492492800 37775432000 38682042368 39913664000 40269824000 41276569600 42308483840 45615616000 47173222400 48197632000 48352552960 51089489920 51595712000 52885604800 58966528000 60440691200 62304256000 63861862400 66042511360 66107006000 67693574144 72984985600 75550864000 77364084736 79827328000 80539648000 82553139200 84616967680 91231232000 94346444800 96705105920 102178979840 103191424000 105771209600 117933056000 120881382400 127723724800 132085022720 132214012000 135387148288 151101728000 154728169472 159654656000 165106278400 169233935360 182462464000 193410211840 206382848000 211542419200 235866112000 241762764800 255447449600 264428024000 270774296576 302203456000 319309312000 330212556800 338467870720 364924928000 386820423680 412765696000 423084838400 471732224000 483525529600 510894899200 528856048000 541548593152 604406912000 638618624000 660425113600 676935741440 773640847360 825531392000 846169676800 967051059200 1057712096000 1083097186304 1208813824000 1277237248000 1353871482880 1651062784000 1692339353600 1934102118400 2115424192000 2417627648000 2554474496000 2707742965760 3302125568000 3384678707200 3868204236800 4230848384000 4835255296000 5415485931520 6769357414400 8461696768000 9670510592000 13538714828800 16923393536000 19341021184000 27077429657600 33846787072000 67693574144000 135387148288000
- Sum of all divisors σ(n): 403454454268320
- Sum of proper divisors (its aliquot sum) s(n): 268067305980320
- 135387148288000 is an abundant number, because the sum of its proper divisors (268067305980320) is greater than itself. Its abundance is 132680157692320
Bases of 135387148288000
- Binary: 111101100100010010001101110000110000000000000002
- Hexadecimal: 0x7B2246E18000
- Base-36: 1BZNZWHXJ4
Squares and roots of 135387148288000
- 135387148288000 squared (1353871482880002) is 18329679921556901330944000000
- 135387148288000 cubed (1353871482880003) is 2481603093611400408322299891023872000000000
-
The
square root of 135387148288000 is 11635598.3210146955 -
The
cube root of 135387148288000 is 51348.2696916187
Scales and comparisons
How big is 135387148288000?- 135,387,148,288,000 seconds is equal to 4,304,892 years, 27 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 135,387,148,288,000 would take you about ten million, seven hundred sixty-two thousand, two hundred thirty-one 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 135387148288000 cubic inches would be around 4279 feet tall.
Recreational maths with 135387148288000
- 135387148288000 backwards is 000882841783531
- The number of decimal digits it has is: 15
- The sum of 135387148288000's digits is 58
- More coming soon!
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