135307423264000
135,307,423,264,000 is an even composite number composed of six prime numbers multiplied together.
135307423264000 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 135307423264000:
28 × 53 × 13 × 172 × 29 × 1972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 29 × 197 × 197)See below for interesting mathematical facts about the number 135307423264000 from the Numbermatics database.
Names of 135307423264000
- Cardinal: 135307423264000 can be written as One hundred thirty-five trillion, three hundred seven billion, four hundred twenty-three million, two hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.35307423264 × 1014
Factors of 135307423264000
Divisors of 135307423264000
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 50 52 58 64 65 68 80 85 100 104 116 125 128 130 136 145 160 170 197 200 208 221 232 250 256 260 272 289 290 320 325 340 377 394 400 416 425 442 464 493 500 520 544 578 580 640 650 680 725 754 788 800 832 850 884 928 985 986 1000 1040 1088 1105 1156 1160 1280 1300 1360 1445 1450 1508 1576 1600 1625 1664 1700 1768 1856 1885 1970 1972 2000 2080 2125 2176 2210 2312 2320 2465 2561 2600 2720 2890 2900 3016 3152 3200 3250 3328 3349 3400 3536 3625 3712 3757 3770 3940 3944 4000 4160 4250 4352 4420 4624 4640 4925 4930 5122 5200 5440 5525 5713 5780 5800 6032 6304 6400 6409 6500 6698 6800 7072 7225 7250 7424 7514 7540 7880 7888 8000 8320 8381 8500 8840 9248 9280 9425 9850 9860 10244 10400 10880 11050 11426 11560 11600 12064 12325 12608 12805 12818 13000 13396 13600 14144 14450 14500 15028 15080 15760 15776 16000 16640 16745 16762 17000 17680 18496 18560 18785 18850 19700 19720 20488 20800 21760 22100 22852 23120 23200 24128 24625 24650 25216 25610 25636 26000 26792 27200 27625 28288 28565 28900 29000 30056 30160 31520 31552 32000 32045 33490 33524 34000 35360 36125 36992 37120 37570 37700 38809 39400 39440 40976 41600 41905 43537 44200 45704 46240 46400 47125 48256 49250 49300 50432 51220 51272 52000 53584 54400 55250 56576 56933 57130 57800 58000 60112 60320 61625 63040 63104 64025 64090 66980 67048 68000 70720 72250 73984 74269 75140 75400 77618 78800 78880 81952 83200 83725 83810 87074 88400 91408 92480 92800 93925 94250 96512 97121 98500 98600 102440 102544 104000 107168 108800 108953 110500 113866 114260 115600 116000 120224 120640 123250 126080 126208 128050 128180 133960 134096 136000 141440 142825 144500 148538 150280 150800 155236 157600 157760 160225 163904 167450 167620 174148 176800 182816 184960 185600 187850 188500 194045 194242 197000 197200 204880 205088 208000 209525 214336 217685 217906 221000 227732 228520 231200 232000 240448 241280 246500 252160 256100 256360 267920 268192 272000 282880 284665 285650 289000 297076 300560 301600 310472 315200 315520 320125 320450 327808 334900 335240 348296 353600 365632 369920 371345 375700 377000 388090 388484 394000 394400 409760 410176 416000 418625 419050 428672 435370 435812 442000 455464 457040 462400 464000 469625 480896 482560 485605 493000 504517 512200 512720 535840 536384 544000 544765 569330 571300 578000 594152 601120 603200 620944 630400 631040 640250 640900 655616 659753 669800 670480 696592 707200 714125 731264 740129 742690 751400 754000 776180 776968 788000 788800 801125 819520 820352 837250 838100 857344 870740 871624 884000 910928 914080 924800 928000 939250 961792 970225 971210 986000 1009034 1024400 1025440 1047625 1071680 1072768 1088425 1089530 1125461 1138660 1142600 1156000 1188304 1202240 1206400 1241888 1260800 1262573 1280500 1281800 1319506 1339600 1340960 1393184 1414400 1423325 1428250 1462528 1480258 1485380 1502800 1508000 1552360 1553936 1576000 1577600 1602250 1639040 1640704 1651057 1674500 1676200 1741480 1743248 1768000 1821856 1828160 1849600 1856725 1878500 1940450 1942420 1972000 2018068 2048800 2050880 2095250 2143360 2145536 2176850 2179060 2250922 2277320 2285200 2312000 2376608 2404480 2412800 2428025 2483776 2522585 2525146 2561000 2563600 2639012 2679200 2681920 2723825 2786368 2846650 2856500 2960516 2970760 3005600 3016000 3104720 3107872 3152000 3155200 3204500 3278080 3298765 3302114 3349000 3352400 3482960 3486496 3536000 3643712 3656320 3700645 3713450 3757000 3880900 3884840 3944000 4036136 4097600 4101760 4190500 4286720 4353700 4358120 4501844 4554640 4570400 4624000 4753216 4808960 4851125 4856050 4967552 5045170 5050292 5122000 5127200 5278024 5358400 5363840 5442125 5447650 5572736 5627305 5693300 5713000 5921032 5941520 6011200 6032000 6209440 6215744 6304000 6312865 6409000 6597530 6604228 6698000 6704800 6965920 6972992 7072000 7116625 7287424 7312640 7401290 7426900 7514000 7761800 7769680 7888000 8072272 8195200 8203520 8255285 8381000 8576789 8707400 8716240 9003688 9109280 9140800 9248000 9283625 9506432 9702250 9712100 9935104 10090340 10100584 10244000 10254400 10556048 10716800 10727680 10884250 10895300 11145472 11215801 11254610 11386600 11426000 11842064 11883040 12022400 12064000 12140125 12418880 12431488 12612925 12625730 12818000 13195060 13208456 13396000 13409600 13619125 13931840 13945984 14233250 14574848 14630993 14802580 14853800 15028000 15523600 15539360 15776000 16144544 16390400 16493825 16510570 16762000 17153578 17414800 17432480 18007376 18218560 18281600 18503225 18567250 19012864 19132837 19404500 19424200 20180680 20201168 20488000 20508800 21112096 21433600 21463741 21768500 21790600 22431602 22509220 22773200 22852000 23684128 23766080 24044800 24280250 24837760 24862976 25225850 25251460 25636000 26390120 26416912 26792000 26819200 27238250 27863680 27891968 28136525 28466500 29261986 29605160 29707600 30056000 31047200 31078720 31564325 32289088 32987650 33021140 33524000 34307156 34829600 34864960 36014752 36437120 36563200 37006450 37134500 38265674 38809000 38848400 40361360 40402336 40976000 41017600 41276425 42224192 42883945 42927482 43537000 43581200 44863204 45018440 45546400 45704000 47368256 47532160 48560500 49675520 50451700 50502920 51272000 52780240 52833824 53584000 53638400 54476500 55727360 56079005 56273050 56933000 58523972 59210320 59415200 60112000 62094400 62157440 63064625 63128650 64578176 65975300 66042280 67048000 68614312 69659200 69729920 72029504 72874240 73154965 74012900 74269000 76531348 77618000 77696800 80722720 80804672 81952000 82469125 82552850 84448384 85767890 85854964 87074000 87162400 89726408 90036880 91092800 91408000 92516125 94736512 95064320 95664185 97121000 100903400 101005840 102544000 105560480 105667648 107168000 107318705 108953000 112158010 112546100 113866000 117047944 118420640 118830400 120224000 124188800 124314880 126129250 126257300 129156352 131950600 132084560 134096000 137228624 139318400 139459840 140682625 144059008 145805413 146309930 148025800 148538000 153062696 155236000 155393600 157821625 161445440 161609344 164938250 165105700 168896768 171535780 171709928 174148000 174324800 179452816 180073760 182185600 182816000 185032250 189473024 191328370 194242000 201806800 202011680 205088000 206382125 211120960 211335296 214419725 214637410 217906000 224316020 225092200 227732000 234095888 236841280 237660800 248377600 248726881 252258500 252514600 263901200 264169120 268192000 274457248 278636800 280395025 281365250 288118016 291610826 292619860 296051600 297076000 306125392 310472000 310787200 315643250 322890880 323218688 325258229 329876500 330211400 343071560 343419856 348296000 348649600 358905632 360147520 364371200 365774825 370064500 382656740 388484000 403613600 404023360 412764250 422241920 422670592 428839450 429274820 435812000 448632040 450184400 455464000 468191776 473682560 475321600 478320925 497453762 504517000 505029200 527802400 528338240 536593525 548914496 560790050 562730500 583221652 585239720 592103200 594152000 612250784 620944000 621574400 631286500 645781760 650516458 659753000 660422800 686143120 686839712 696592000 697299200 717811264 720295040 729027065 731549650 740129000 765313480 776968000 807227200 808046720 825528500 844483840 857678900 858549640 871624000 897264080 900368800 910928000 936383552 947365120 956641850 994907524 1009034000 1010058400 1055604800 1056676480 1072098625 1073187050 1097828992 1121580100 1125461000 1166443304 1170479440 1184206400 1188304000 1224501568 1241888000 1243634405 1262573000 1301032916 1319506000 1320845600 1372286240 1373679424 1393184000 1401975125 1435622528 1440590080 1458054130 1463099300 1480258000 1530626960 1553936000 1614454400 1616093440 1626291145 1651057000 1715357800 1717099280 1743248000 1794528160 1800737600 1821856000 1828874125 1872767104 1913283700 1989815048 2018068000 2020116800 2111209600 2113352960 2144197250 2146374100 2195657984 2243160200 2250922000 2332886608 2340958880 2368412800 2376608000 2391604625 2449003136 2487268810 2525146000 2602065832 2639012000 2641691200 2682967625 2744572480 2747358848 2803950250 2871245056 2916108260 2926198600 2960516000 3061253920 3107872000 3228908800 3252582290 3302114000 3430715600 3434198560 3486496000 3589056320 3601475200 3645135325 3657748250 3745534208 3826567400 3979630096 4036136000 4040233600 4222419200 4228356977 4288394500 4292748200 4486320400 4501844000 4665773216 4681917760 4736825600 4783209250 4898006272 4974537620 5050292000 5204131664 5278024000 5283382400 5365935250 5489144960 5494717696 5607900500 5832216520 5852397200 5921032000 6122507840 6218172025 6505164580 6604228000 6861431200 6868397120 7178112640 7202950400 7290270650 7315496500 7653134800 7959260192 8072272000 8080467200 8131455725 8456713954 8576789000 8585496400 8972640800 9003688000 9331546432 9363835520 9566418500 9949075240 10100584000 10408263328 10556048000 10566764800 10731870500 10978289920 11215801000 11664433040 11704794400 11842064000 12245015680 12436344050 13010329160 13208456000 13722862400 13736794240 14356225280 14580541300 14630993000 15306269600 15918520384 16144544000 16262911450 16913427908 17153578000 17170992800 17945281600 18007376000 18225676625 18663092864 18727671040 19132837000 19898150480 20201168000 20816526656 21112096000 21141784885 21463741000 22431602000 23328866080 23409588800 23684128000 24490031360 24872688100 26020658320 26416912000 27445724800 27473588480 29161082600 29261986000 30612539200 31090860125 31837040768 32525822900 33826855816 34307156000 34341985600 35890563200 36014752000 36451353250 37326185728 38265674000 39796300960 40402336000 40657278625 41633053312 42283569770 42927482000 44863204000 46657732160 46819177600 49745376200 52041316640 52833824000 54891449600 58322165200 58523972000 61225078400 62181720250 63674081536 65051645800 67653711632 68614312000 68683971200 71781126400 72902706500 76531348000 79592601920 81314557250 83266106624 84567139540 85854964000 89726408000 93315464320 93638355200 99490752400 104082633280 105708924425 116644330400 117047944000 122450156800 124363440500 130103291600 135307423264 137228624000 137367942400 145805413000 153062696000 159185203840 162629114500 169134279080 171709928000 179452816000 186630928640 198981504800 208165266560 211417848850 233288660800 234095888000 248726881000 260206583200 270614846528 274457248000 291610826000 306125392000 318370407680 325258229000 338268558160 343419856000 358905632000 397963009600 416330533120 422835697700 466577321600 468191776000 497453762000 520413166400 528544622125 541229693056 583221652000 612250784000 650516458000 676537116320 686839712000 795926019200 845671395400 933154643200 994907524000 1040826332800 1057089244250 1082459386112 1166443304000 1301032916000 1353074232640 1591852038400 1691342790800 1989815048000 2081652665600 2114178488500 2332886608000 2602065832000 2706148465280 3382685581600 3979630096000 4228356977000 4665773216000 5204131664000 5412296930560 6765371163200 7959260192000 8456713954000 10408263328000 13530742326400 16913427908000 27061484652800 33826855816000 67653711632000 135307423264000
- Sum of all divisors σ(n): 400936610627280
- Sum of proper divisors (its aliquot sum) s(n): 265629187363280
- 135307423264000 is an abundant number, because the sum of its proper divisors (265629187363280) is greater than itself. Its abundance is 130321764099280
Bases of 135307423264000
- Binary: 111101100001111101101101110011000101101000000002
- Hexadecimal: 0x7B0FB6E62D00
- Base-36: 1BYNDE9ZB4
Squares and roots of 135307423264000
- 135307423264000 squared (1353074232640002) is 18308098790343248413696000000
- 135307423264000 cubed (1353074232640003) is 2477221672184100308956661246623744000000000
-
The
square root of 135307423264000 is 11632171.9065701571 -
The
cube root of 135307423264000 is 51338.1886120263
Scales and comparisons
How big is 135307423264000?- 135,307,423,264,000 seconds is equal to 4,302,357 years, 27 weeks, 2 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 135,307,423,264,000 would take you about ten million, seven hundred fifty-five thousand, eight hundred ninety-three 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 135307423264000 cubic inches would be around 4278.2 feet tall.
Recreational maths with 135307423264000
- 135307423264000 backwards is 000462324703531
- 135307423264000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135307423264000's digits is 40
- More coming soon!
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The information we have on file for 135307423264000 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!
Keywords: Divisors of 135307423264000, math, Factors of 135307423264000, curriculum, school, college, exams, university, Prime factorization of 135307423264000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, three hundred seven billion, four hundred twenty-three million, two hundred sixty-four thousand.