135342495629312000
135,342,495,629,312,000 is an even composite number composed of four prime numbers multiplied together.
135342495629312000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 135342495629312000:
224 × 53 × 193 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 19 × 19 × 19 × 97 × 97)See below for interesting mathematical facts about the number 135342495629312000 from the Numbermatics database.
Names of 135342495629312000
- Cardinal: 135342495629312000 can be written as One hundred thirty-five quadrillion, three hundred forty-two trillion, four hundred ninety-five billion, six hundred twenty-nine million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.35342495629312 × 1017
Factors of 135342495629312000
Divisors of 135342495629312000
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 97 100 125 128 152 160 190 194 200 250 256 304 320 361 380 388 400 475 485 500 512 608 640 722 760 776 800 950 970 1000 1024 1216 1280 1444 1520 1552 1600 1805 1843 1900 1940 2000 2048 2375 2425 2432 2560 2888 3040 3104 3200 3610 3686 3800 3880 4000 4096 4750 4850 4864 5120 5776 6080 6208 6400 6859 7220 7372 7600 7760 8000 8192 9025 9215 9409 9500 9700 9728 10240 11552 12125 12160 12416 12800 13718 14440 14744 15200 15520 16000 16384 18050 18430 18818 19000 19400 19456 20480 23104 24250 24320 24832 25600 27436 28880 29488 30400 31040 32000 32768 34295 35017 36100 36860 37636 38000 38800 38912 40960 45125 46075 46208 47045 48500 48640 49664 51200 54872 57760 58976 60800 62080 64000 65536 68590 70034 72200 73720 75272 76000 77600 77824 81920 90250 92150 92416 94090 97000 97280 99328 102400 109744 115520 117952 121600 124160 128000 131072 137180 140068 144400 147440 150544 152000 155200 155648 163840 171475 175085 178771 180500 184300 184832 188180 194000 194560 198656 204800 219488 230375 231040 235225 235904 243200 248320 256000 262144 274360 280136 288800 294880 301088 304000 310400 311296 327680 342950 350170 357542 361000 368600 369664 376360 388000 389120 397312 409600 438976 460750 462080 470450 471808 486400 496640 512000 524288 548720 560272 577600 589760 602176 608000 620800 622592 655360 665323 685900 700340 715084 722000 737200 739328 752720 776000 778240 794624 819200 857375 875425 877952 893855 921500 924160 940900 943616 972800 993280 1024000 1048576 1097440 1120544 1155200 1176125 1179520 1204352 1216000 1241600 1245184 1310720 1330646 1371800 1400680 1430168 1444000 1474400 1478656 1505440 1552000 1556480 1589248 1638400 1714750 1750850 1755904 1787710 1843000 1848320 1881800 1887232 1945600 1986560 2048000 2097152 2194880 2241088 2310400 2352250 2359040 2408704 2432000 2483200 2490368 2621440 2661292 2743600 2801360 2860336 2888000 2948800 2957312 3010880 3104000 3112960 3178496 3276800 3326615 3396649 3429500 3501700 3511808 3575420 3686000 3696640 3763600 3774464 3891200 3973120 4096000 4194304 4377125 4389760 4469275 4482176 4620800 4704500 4718080 4817408 4864000 4966400 4980736 5242880 5322584 5487200 5602720 5720672 5776000 5897600 5914624 6021760 6208000 6225920 6356992 6553600 6653230 6793298 6859000 7003400 7023616 7150840 7372000 7393280 7527200 7548928 7782400 7946240 8192000 8388608 8754250 8779520 8938550 8964352 9241600 9409000 9436160 9634816 9728000 9932800 9961472 10485760 10645168 10974400 11205440 11441344 11552000 11795200 11829248 12043520 12416000 12451840 12713984 13107200 13306460 13586596 13718000 14006800 14047232 14301680 14744000 14786560 15054400 15097856 15564800 15892480 16384000 16633075 16777216 16983245 17508500 17559040 17877100 17928704 18483200 18818000 18872320 19269632 19456000 19865600 19922944 20971520 21290336 21948800 22346375 22410880 22882688 23104000 23590400 23658496 24087040 24832000 24903680 25427968 26214400 26612920 27173192 27436000 28013600 28094464 28603360 29488000 29573120 30108800 30195712 31129600 31784960 32768000 33266150 33966490 35017000 35118080 35754200 35857408 36966400 37636000 37744640 38539264 38912000 39731200 39845888 41943040 42580672 43897600 44692750 44821760 45765376 46208000 47180800 47316992 48174080 49664000 49807360 50855936 52428800 53225840 54346384 54872000 56027200 56188928 57206720 58976000 59146240 60217600 60391424 62259200 63569920 64536331 65536000 66532300 67932980 70034000 70236160 71508400 71714816 73932800 75272000 75489280 77078528 77824000 79462400 79691776 83165375 83886080 84916225 85161344 87795200 89385500 89643520 91530752 92416000 94361600 94633984 96348160 99328000 99614720 101711872 104857600 106451680 108692768 109744000 112054400 112377856 114413440 117952000 118292480 120435200 120782848 124518400 127139840 129072662 131072000 133064600 135865960 140068000 140472320 143016800 143429632 147865600 150544000 150978560 154157056 155648000 158924800 159383552 166330750 169832450 170322688 175590400 178771000 179287040 183061504 184832000 188723200 189267968 192696320 198656000 199229440 203423744 209715200 212903360 217385536 219488000 224108800 224755712 228826880 235904000 236584960 240870400 241565696 249036800 254279680 258145324 262144000 266129200 271731920 280136000 280944640 286033600 286859264 295731200 301088000 301957120 308314112 311296000 317849600 318767104 322681655 332661500 339664900 340645376 351180800 357542000 358574080 366123008 369664000 377446400 378535936 385392640 397312000 398458880 406847488 419430400 424581125 425806720 434771072 438976000 448217600 449511424 457653760 471808000 473169920 481740800 483131392 498073600 508559360 516290648 524288000 532258400 543463840 560272000 561889280 572067200 573718528 591462400 602176000 603914240 616628224 622592000 635699200 645363310 665323000 679329800 681290752 702361600 715084000 717148160 732246016 739328000 754892800 757071872 770785280 794624000 796917760 813694976 849162250 851613440 869542144 877952000 896435200 899022848 915307520 943616000 946339840 963481600 966262784 996147200 1017118720 1032581296 1048576000 1064516800 1086927680 1120544000 1123778560 1144134400 1147437056 1182924800 1204352000 1207828480 1233256448 1245184000 1271398400 1290726620 1330646000 1358659600 1362581504 1404723200 1430168000 1434296320 1464492032 1478656000 1509785600 1514143744 1541570560 1589248000 1593835520 1613408275 1627389952 1698324500 1703226880 1739084288 1755904000 1792870400 1798045696 1830615040 1887232000 1892679680 1926963200 1932525568 1992294400 2034237440 2065162592 2097152000 2129033600 2173855360 2241088000 2247557120 2288268800 2294874112 2365849600 2408704000 2415656960 2466512896 2490368000 2542796800 2581453240 2661292000 2717319200 2725163008 2809446400 2860336000 2868592640 2928984064 2957312000 3019571200 3028287488 3083141120 3178496000 3226816550 3396649000 3406453760 3478168576 3511808000 3585740800 3596091392 3661230080 3774464000 3785359360 3853926400 3865051136 3984588800 4068474880 4130325184 4258067200 4347710720 4482176000 4495114240 4576537600 4589748224 4731699200 4817408000 4831313920 4933025792 4980736000 5085593600 5162906480 5322584000 5434638400 5450326016 5618892800 5720672000 5737185280 5857968128 5914624000 6039142400 6056574976 6166282240 6356992000 6453633100 6793298000 6812907520 6956337152 7023616000 7171481600 7192182784 7322460160 7548928000 7570718720 7707852800 7730102272 7969177600 8067041375 8136949760 8260650368 8516134400 8695421440 8964352000 8990228480 9153075200 9179496448 9463398400 9634816000 9662627840 9866051584 9961472000 10171187200 10325812960 10645168000 10869276800 10900652032 11237785600 11441344000 11474370560 11715936256 11829248000 12078284800 12332564480 12713984000 12907266200 13586596000 13625815040 13912674304 14047232000 14342963200 14384365568 14644920320 15097856000 15141437440 15415705600 15460204544 16134082750 16521300736 17032268800 17390842880 17928704000 17980456960 18306150400 18358992896 18926796800 19269632000 19325255680 19732103168 19922944000 20342374400 20651625920 21290336000 21738553600 21801304064 22475571200 22882688000 22948741120 23431872512 23658496000 24156569600 24665128960 25427968000 25814532400 27173192000 27251630080 27825348608 28094464000 28685926400 28768731136 29289840640 30195712000 30282874880 30831411200 30920409088 32268165500 33042601472 34064537600 34781685760 35857408000 35960913920 36612300800 36717985792 37853593600 38539264000 38650511360 39464206336 39845888000 40684748800 41303251840 42580672000 43477107200 43602608128 44951142400 45765376000 45897482240 46863745024 47316992000 48313139200 49330257920 50855936000 51629064800 54346384000 54503260160 55650697216 56188928000 57371852800 57537462272 58579681280 60391424000 61662822400 64536331000 66085202944 68129075200 69563371520 71714816000 71921827840 73224601600 73435971584 75707187200 77078528000 77301022720 78928412672 82606503680 85161344000 86954214400 87205216256 89902284800 91530752000 91794964480 93727490048 94633984000 96626278400 98660515840 101711872000 103258129600 108692768000 109006520320 111301394432 112377856000 114743705600 115074924544 117159362560 120782848000 123325644800 129072662000 132170405888 136258150400 139126743040 143429632000 143843655680 146449203200 146871943168 151414374400 154157056000 154602045440 157856825344 165213007360 170322688000 173908428800 174410432512 179804569600 183061504000 183589928960 187454980096 189267968000 193252556800 197321031680 203423744000 206516259200 217385536000 218013040640 222602788864 224755712000 229487411200 234318725120 241565696000 246651289600 258145324000 264340811776 272516300800 278253486080 286859264000 287687311360 292898406400 293743886336 308314112000 330426014720 340645376000 347816857600 348820865024 359609139200 366123008000 367179857920 374909960192 378535936000 386505113600 394642063360 413032518400 434771072000 436026081280 445205577728 449511424000 458974822400 468637450240 483131392000 493302579200 516290648000 528681623552 545032601600 556506972160 573718528000 575374622720 585796812800 587487772672 616628224000 660852029440 681290752000 695633715200 697641730048 719218278400 732246016000 734359715840 749819920384 757071872000 773010227200 789284126720 826065036800 869542144000 872052162560 890411155456 899022848000 917949644800 937274900480 966262784000 986605158400 1032581296000 1057363247104 1090065203200 1113013944320 1147437056000 1171593625600 1233256448000 1321704058880 1362581504000 1391267430400 1395283460096 1438436556800 1464492032000 1468719431680 1499639840768 1652130073600 1739084288000 1744104325120 1780822310912 1798045696000 1835899289600 1874549800960 1932525568000 1973210316800 2065162592000 2114726494208 2180130406400 2226027888640 2294874112000 2343187251200 2466512896000 2643408117760 2725163008000 2782534860800 2790566920192 2876873113600 2928984064000 2937438863360 2999279681536 3304260147200 3478168576000 3488208650240 3561644621824 3596091392000 3671798579200 3749099601920 3865051136000 3946420633600 4130325184000 4229452988416 4360260812800 4452055777280 4589748224000 4686374502400 4933025792000 5286816235520 5450326016000 5565069721600 5581133840384 5857968128000 6608520294400 6956337152000 6976417300480 7123289243648 7192182784000 7343597158400 7498199203840 8260650368000 8458905976832 8720521625600 8904111554560 9179496448000 9372749004800 9866051584000 10573632471040 10900652032000 11130139443200 11162267680768 11715936256000 13217040588800 13912674304000 13952834600960 14246578487296 14384365568000 14687194316800 14996398407680 16521300736000 16917811953664 17441043251200 17808223109120 18358992896000 18745498009600 19732103168000 21147264942080 21801304064000 22260278886400 23431872512000 26434081177600 27825348608000 27905669201920 28493156974592 33042601472000 33835623907328 34882086502400 35616446218240 36717985792000 37490996019200 42294529884160 43602608128000 44520557772800 46863745024000 52868162355200 55650697216000 55811338403840 56986313949184 66085202944000 67671247814656 69764173004800 71232892436480 73435971584000 74981992038400 84589059768320 87205216256000 89041115545600 93727490048000 105736324710400 111301394432000 132170405888000 135342495629312 139528346009600 142465784872960 169178119536640 174410432512000 178082231091200 187454980096000 211472649420800 222602788864000 264340811776000 270684991258624 279056692019200 284931569745920 338356239073280 348820865024000 356164462182400 374909960192000 422945298841600 445205577728000 528681623552000 541369982517248 676712478146560 697641730048000 712328924364800 845890597683200 890411155456000 1057363247104000 1082739965034496 1353424956293120 1395283460096000 1424657848729600 1691781195366400 1780822310912000 2114726494208000 2706849912586240 3383562390732800 3561644621824000 4229452988416000 5413699825172480 6767124781465600 7123289243648000 8458905976832000 13534249562931200 16917811953664000 27068499125862400 33835623907328000 67671247814656000 135342495629312000
- Sum of all divisors σ(n): 360293591227920480
- Sum of proper divisors (its aliquot sum) s(n): 224951095598608480
- 135342495629312000 is an abundant number, because the sum of its proper divisors (224951095598608480) is greater than itself. Its abundance is 89608599969296480
Bases of 135342495629312000
- Binary: 1111000001101010101001000010111110000000000000000000000002
- Hexadecimal: 0x1E0D5485F000000
- Base-36: 110MWS5E0C8W
Squares and roots of 135342495629312000
- 135342495629312000 squared (1353424956293120002) is 18317591123170337822913593344000000
- 135342495629312000 cubed (1353424956293120003) is 2479148496527205735850565528605752534499328000000000
-
The
square root of 135342495629312000 is 367889243.6988502115 -
The
cube root of 135342495629312000 is 513426.2393447875
Scales and comparisons
How big is 135342495629312000?- 135,342,495,629,312,000 seconds is equal to 4,303,472,719 years, 9 weeks, 4 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 135,342,495,629,312,000 would take you about twelve billion, nine hundred ten million, four hundred eighteen thousand, one hundred fifty-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 135342495629312000 cubic inches would be around 42785.5 feet tall.
Recreational maths with 135342495629312000
- 135342495629312000 backwards is 000213926594243531
- The number of decimal digits it has is: 18
- The sum of 135342495629312000's digits is 59
- More coming soon!
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The information we have on file for 135342495629312000 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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