135674242007040
135,674,242,007,040 is an even composite number composed of six prime numbers multiplied together.
135674242007040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 135674242007040:
224 × 32 × 5 × 11 × 17 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 17 × 31 × 31)See below for interesting mathematical facts about the number 135674242007040 from the Numbermatics database.
Names of 135674242007040
- Cardinal: 135674242007040 can be written as One hundred thirty-five trillion, six hundred seventy-four billion, two hundred forty-two million, seven thousand and forty.
Scientific notation
- Scientific notation: 1.3567424200704 × 1014
Factors of 135674242007040
Divisors of 135674242007040
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 30 31 32 33 34 36 40 44 45 48 51 55 60 62 64 66 68 72 80 85 88 90 93 96 99 102 110 120 124 128 132 136 144 153 155 160 165 170 176 180 186 187 192 198 204 220 240 248 255 256 264 272 279 288 306 310 320 330 340 341 352 360 372 374 384 396 408 440 465 480 495 496 510 512 527 528 544 558 561 576 612 620 640 660 680 682 704 720 744 748 765 768 792 816 880 930 935 960 961 990 992 1020 1023 1024 1054 1056 1088 1116 1122 1152 1224 1240 1280 1320 1360 1364 1395 1408 1440 1488 1496 1530 1536 1581 1584 1632 1683 1705 1760 1860 1870 1920 1922 1980 1984 2040 2046 2048 2108 2112 2176 2232 2244 2304 2448 2480 2560 2635 2640 2720 2728 2790 2805 2816 2880 2883 2976 2992 3060 3069 3072 3162 3168 3264 3366 3410 3520 3720 3740 3840 3844 3960 3968 4080 4092 4096 4216 4224 4352 4464 4488 4608 4743 4805 4896 4960 5115 5120 5270 5280 5440 5456 5580 5610 5632 5760 5766 5797 5952 5984 6120 6138 6144 6324 6336 6528 6732 6820 7040 7440 7480 7680 7688 7905 7920 7936 8160 8184 8192 8415 8432 8448 8649 8704 8928 8976 9216 9486 9610 9792 9920 10230 10240 10540 10560 10571 10880 10912 11160 11220 11264 11520 11532 11594 11904 11968 12240 12276 12288 12648 12672 13056 13464 13640 14080 14415 14880 14960 15345 15360 15376 15810 15840 15872 16320 16337 16368 16384 16830 16864 16896 17298 17391 17408 17856 17952 18432 18972 19220 19584 19840 20460 20480 21080 21120 21142 21760 21824 22320 22440 22528 23040 23064 23188 23715 23808 23936 24480 24552 24576 25296 25344 26112 26928 27280 28160 28830 28985 29760 29920 30690 30720 30752 31620 31680 31713 31744 32640 32674 32736 32768 33660 33728 33792 34596 34782 34816 35712 35904 36864 37944 38440 39168 39680 40920 40960 42160 42240 42284 43245 43520 43648 44640 44880 45056 46080 46128 46376 47430 47616 47872 48960 49011 49104 49152 50592 50688 52173 52224 52855 53856 54560 56320 57660 57970 59520 59840 61380 61440 61504 63240 63360 63426 63488 65280 65348 65472 65536 67320 67456 67584 69192 69564 69632 71424 71808 73728 75888 76880 78336 79360 81685 81840 81920 84320 84480 84568 86490 86955 87040 87296 89280 89760 90112 92160 92256 92752 94860 95139 95232 95744 97920 98022 98208 98304 101184 101376 104346 104448 105710 107712 109120 112640 115320 115940 119040 119680 122760 122880 123008 126480 126720 126852 126976 130560 130696 130944 131072 134640 134912 135168 138384 139128 139264 142848 143616 147033 147456 151776 153760 156672 158565 158720 163370 163680 163840 168640 168960 169136 172980 173910 174080 174592 178560 179520 179707 180224 184320 184512 185504 189720 190278 190464 191488 195840 196044 196416 196608 202368 202752 208692 208896 211420 215424 218240 225280 230640 231880 238080 239360 245055 245520 245760 246016 252960 253440 253704 253952 260865 261120 261392 261888 262144 269280 269824 270336 276768 278256 278528 285696 287232 294066 294912 303552 307520 313344 317130 317440 326740 327360 327680 337280 337920 338272 345960 347820 348160 349184 357120 359040 359414 360448 368640 369024 371008 379440 380556 380928 382976 391680 392088 392832 393216 404736 405504 417384 417792 422840 430848 436480 450560 461280 463760 475695 476160 478720 490110 491040 491520 492032 505920 506880 507408 507904 521730 522240 522784 523776 524288 538560 539121 539648 540672 553536 556512 557056 571392 574464 588132 589824 607104 615040 626688 634260 634880 653480 654720 655360 674560 675840 676544 691920 695640 696320 698368 714240 718080 718828 720896 735165 737280 738048 742016 758880 761112 761856 765952 783360 784176 785664 786432 809472 811008 834768 835584 845680 861696 872960 898535 901120 922560 927520 951390 952320 957440 980220 982080 983040 984064 1011840 1013760 1014816 1015808 1043460 1044480 1045568 1047552 1048576 1077120 1078242 1079296 1081344 1107072 1113024 1114112 1142784 1148928 1176264 1179648 1214208 1230080 1253376 1268520 1269760 1306960 1309440 1310720 1349120 1351680 1353088 1383840 1391280 1392640 1396736 1428480 1436160 1437656 1441792 1470330 1474560 1476096 1484032 1517760 1522224 1523712 1531904 1566720 1568352 1571328 1572864 1617363 1618944 1622016 1669536 1671168 1691360 1723392 1745920 1797070 1802240 1845120 1855040 1902780 1904640 1914880 1960440 1964160 1966080 1968128 2023680 2027520 2029632 2031616 2086920 2088960 2091136 2095104 2097152 2154240 2156484 2158592 2162688 2214144 2226048 2228224 2285568 2297856 2352528 2359296 2428416 2460160 2506752 2537040 2539520 2613920 2618880 2621440 2695605 2698240 2703360 2706176 2767680 2782560 2785280 2793472 2856960 2872320 2875312 2883584 2940660 2949120 2952192 2968064 3035520 3044448 3047424 3063808 3133440 3136704 3142656 3145728 3234726 3237888 3244032 3339072 3342336 3382720 3446784 3491840 3594140 3604480 3690240 3710080 3805560 3809280 3829760 3920880 3928320 3932160 3936256 4047360 4055040 4059264 4063232 4173840 4177920 4182272 4190208 4194304 4308480 4312968 4317184 4325376 4428288 4452096 4456448 4571136 4595712 4705056 4718592 4856832 4920320 5013504 5074080 5079040 5227840 5237760 5242880 5391210 5396480 5406720 5412352 5535360 5565120 5570560 5586944 5713920 5744640 5750624 5767168 5881320 5898240 5904384 5936128 6071040 6088896 6094848 6127616 6266880 6273408 6285312 6291456 6469452 6475776 6488064 6678144 6684672 6765440 6893568 6983680 7188280 7208960 7380480 7420160 7611120 7618560 7659520 7841760 7856640 7864320 7872512 8086815 8094720 8110080 8118528 8126464 8347680 8355840 8364544 8380416 8388608 8616960 8625936 8634368 8650752 8856576 8904192 8912896 9142272 9191424 9410112 9437184 9713664 9840640 10027008 10148160 10158080 10455680 10475520 10485760 10782420 10792960 10813440 10824704 11070720 11130240 11141120 11173888 11427840 11489280 11501248 11534336 11762640 11796480 11808768 11872256 12142080 12177792 12189696 12255232 12533760 12546816 12570624 12582912 12938904 12951552 12976128 13356288 13369344 13530880 13787136 13967360 14376560 14417920 14760960 14840320 15222240 15237120 15319040 15683520 15713280 15728640 15745024 16173630 16189440 16220160 16237056 16252928 16695360 16711680 16729088 16760832 16777216 17233920 17251872 17268736 17301504 17713152 17808384 17825792 18284544 18382848 18820224 18874368 19427328 19681280 20054016 20296320 20316160 20911360 20951040 20971520 21564840 21585920 21626880 21649408 22141440 22260480 22282240 22347776 22855680 22978560 23002496 23068672 23525280 23592960 23617536 23744512 24284160 24355584 24379392 24510464 25067520 25093632 25141248 25165824 25877808 25903104 25952256 26712576 26738688 27061760 27574272 27934720 28753120 28835840 29521920 29680640 30444480 30474240 30638080 31367040 31426560 31457280 31490048 32347260 32378880 32440320 32474112 32505856 33390720 33423360 33458176 33521664 34467840 34503744 34537472 34603008 35426304 35616768 35651584 36569088 36765696 37640448 37748736 38854656 39362560 40108032 40592640 40632320 41822720 41902080 41943040 43129680 43171840 43253760 43298816 44282880 44520960 44564480 44695552 45711360 45957120 46004992 46137344 47050560 47185920 47235072 47489024 48568320 48711168 48758784 49020928 50135040 50187264 50282496 50331648 51755616 51806208 51904512 53425152 53477376 54123520 55148544 55869440 57506240 57671680 59043840 59361280 60888960 60948480 61276160 62734080 62853120 62914560 62980096 64694520 64757760 64880640 64948224 65011712 66781440 66846720 66916352 67043328 68935680 69007488 69074944 69206016 70852608 71233536 71303168 73138176 73531392 75280896 75497472 77709312 78725120 80216064 81185280 81264640 83645440 83804160 83886080 86259360 86343680 86507520 86597632 88565760 89041920 89128960 89391104 91422720 91914240 92009984 92274688 94101120 94371840 94470144 94978048 97136640 97422336 97517568 98041856 100270080 100374528 100564992 103511232 103612416 103809024 106850304 106954752 108247040 110297088 111738880 115012480 115343360 118087680 118722560 121777920 121896960 122552320 125468160 125706240 125829120 125960192 129389040 129515520 129761280 129896448 130023424 133562880 133693440 133832704 134086656 137871360 138014976 138149888 138412032 141705216 142467072 142606336 146276352 147062784 150561792 150994944 155418624 157450240 160432128 162370560 162529280 167290880 167608320 172518720 172687360 173015040 173195264 177131520 178083840 178257920 178782208 182845440 183828480 184019968 184549376 188202240 188743680 188940288 189956096 194273280 194844672 195035136 196083712 200540160 200749056 201129984 207022464 207224832 207618048 213700608 213909504 216494080 220594176 223477760 230024960 230686720 236175360 237445120 243555840 243793920 245104640 250936320 251412480 251658240 251920384 258778080 259031040 259522560 259792896 260046848 267125760 267386880 267665408 268173312 275742720 276029952 276299776 276824064 283410432 284934144 285212672 292552704 294125568 301123584 310837248 314900480 320864256 324741120 325058560 334581760 335216640 345037440 345374720 346030080 346390528 354263040 356167680 356515840 357564416 365690880 367656960 368039936 376404480 377487360 377880576 379912192 388546560 389689344 390070272 392167424 401080320 401498112 402259968 414044928 414449664 415236096 427401216 427819008 432988160 441188352 446955520 460049920 461373440 472350720 474890240 487111680 487587840 490209280 501872640 502824960 503840768 517556160 518062080 519045120 519585792 520093696 534251520 534773760 535330816 536346624 551485440 552059904 552599552 553648128 566820864 569868288 585105408 588251136 602247168 621674496 629800960 641728512 649482240 650117120 669163520 670433280 690074880 690749440 692060160 692781056 708526080 712335360 713031680 715128832 731381760 735313920 736079872 752808960 754974720 755761152 759824384 777093120 779378688 780140544 784334848 802160640 802996224 804519936 828089856 828899328 830472192 854802432 855638016 865976320 882376704 893911040 920099840 922746880 944701440 949780480 974223360 975175680 980418560 1003745280 1005649920 1007681536 1035112320 1036124160 1038090240 1039171584 1068503040 1069547520 1070661632 1072693248 1102970880 1104119808 1105199104 1133641728 1139736576 1170210816 1176502272 1204494336 1243348992 1259601920 1283457024 1298964480 1300234240 1338327040 1340866560 1380149760 1381498880 1384120320 1385562112 1417052160 1424670720 1426063360 1430257664 1462763520 1470627840 1472159744 1505617920 1511522304 1519648768 1554186240 1558757376 1560281088 1568669696 1604321280 1605992448 1609039872 1656179712 1657798656 1660944384 1709604864 1731952640 1764753408 1787822080 1840199680 1889402880 1899560960 1948446720 1950351360 1960837120 2007490560 2011299840 2015363072 2070224640 2072248320 2076180480 2078343168 2137006080 2139095040 2141323264 2145386496 2205941760 2208239616 2210398208 2267283456 2279473152 2340421632 2353004544 2408988672 2486697984 2519203840 2566914048 2597928960 2600468480 2676654080 2681733120 2760299520 2762997760 2768240640 2771124224 2834104320 2849341440 2860515328 2925527040 2941255680 2944319488 3011235840 3023044608 3039297536 3108372480 3117514752 3137339392 3208642560 3211984896 3218079744 3312359424 3315597312 3419209728 3463905280 3529506816 3575644160 3680399360 3778805760 3799121920 3896893440 3900702720 3921674240 4014981120 4022599680 4030726144 4140449280 4144496640 4152360960 4156686336 4274012160 4278190080 4282646528 4290772992 4411883520 4416479232 4420796416 4534566912 4558946304 4680843264 4706009088 4817977344 4973395968 5038407680 5195857920 5353308160 5363466240 5520599040 5525995520 5542248448 5668208640 5698682880 5721030656 5851054080 5882511360 5888638976 6022471680 6046089216 6078595072 6216744960 6235029504 6417285120 6423969792 6436159488 6624718848 6631194624 6838419456 6927810560 7059013632 7151288320 7360798720 7557611520 7598243840 7793786880 7801405440 7843348480 8029962240 8045199360 8061452288 8280898560 8288993280 8304721920 8313372672 8548024320 8565293056 8581545984 8823767040 8832958464 8841592832 9069133824 9117892608 9412018176 9635954688 9946791936 10076815360 10391715840 10706616320 10726932480 11041198080 11051991040 11084496896 11336417280 11397365760 11702108160 11765022720 11777277952 12044943360 12092178432 12157190144 12433489920 12470059008 12834570240 12847939584 12872318976 13249437696 13262389248 13676838912 13855621120 14118027264 14302576640 14721597440 15115223040 15196487680 15587573760 15686696960 16059924480 16090398720 16122904576 16561797120 16577986560 16626745344 17096048640 17130586112 17163091968 17647534080 17665916928 18138267648 18235785216 19271909376 19893583872 20153630720 20783431680 21413232640 21453864960 22082396160 22103982080 22168993792 22672834560 22794731520 23404216320 23530045440 23554555904 24089886720 24184356864 24314380288 24866979840 24940118016 25695879168 25744637952 26498875392 26524778496 27353677824 27711242240 28236054528 28605153280 29443194880 30230446080 30392975360 31175147520 32119848960 32180797440 33123594240 33155973120 33253490688 34192097280 34261172224 35295068160 35331833856 36276535296 36471570432 38543818752 39787167744 40307261440 41566863360 42826465280 42907729920 44164792320 44207964160 44337987584 45345669120 45589463040 47060090880 47109111808 48179773440 48368713728 48628760576 49733959680 49880236032 51391758336 51489275904 52997750784 54707355648 55422484480 58886389760 60460892160 60785950720 62350295040 64239697920 64361594880 66247188480 66311946240 66506981376 68384194560 68522344448 70590136320 70663667712 72553070592 72943140864 77087637504 79574335488 80614522880 83133726720 85652930560 85815459840 88329584640 88675975168 90691338240 91178926080 94218223616 96359546880 97257521152 99467919360 99760472064 102783516672 105995501568 109414711296 110844968960 117772779520 120921784320 121571901440 124700590080 128479395840 128723189760 132494376960 132623892480 133013962752 136768389120 137044688896 141180272640 141327335424 145106141184 145886281728 154175275008 166267453440 171305861120 176659169280 177351950336 181382676480 182357852160 188436447232 192719093760 198935838720 199520944128 205567033344 211991003136 218829422592 221689937920 235545559040 241843568640 243143802880 249401180160 256958791680 257446379520 264988753920 266027925504 273536778240 274089377792 282654670848 291772563456 308350550016 332534906880 342611722240 353318338560 362765352960 364715704320 376872894464 385438187520 397871677440 399041888256 411134066688 423982006272 437658845184 443379875840 471091118080 486287605760 498802360320 513917583360 529977507840 532055851008 547073556480 565309341696 616701100032 665069813760 685223444480 706636677120 725530705920 729431408640 753745788928 770876375040 798083776512 822268133376 847964012544 875317690368 886759751680 942182236160 997604720640 1027835166720 1059955015680 1094147112960 1130618683392 1233402200064 1330139627520 1370446888960 1413273354240 1458862817280 1507491577856 1541752750080 1596167553024 1695928025088 1884364472320 1995209441280 2055670333440 2119910031360 2188294225920 2261237366784 2466804400128 2660279255040 2826546708480 3014983155712 3083505500160 3391856050176 3768728944640 3990418882560 4111340666880 4239820062720 4376588451840 4522474733568 5653093416960 6167011000320 6783712100352 7537457889280 7980837765120 8479640125440 9044949467136 11306186833920 12334022000640 13567424200704 15074915778560 16959280250880 22612373667840 27134848401408 33918560501760 45224747335680 67837121003520 135674242007040
- Sum of all divisors σ(n): 561367778113584
- Sum of proper divisors (its aliquot sum) s(n): 425693536106544
- 135674242007040 is an abundant number, because the sum of its proper divisors (425693536106544) is greater than itself. Its abundance is 290019294099504
Bases of 135674242007040
- Binary: 111101101100101000111110000000000000000000000002
- Hexadecimal: 0x7B651F000000
- Base-36: 1C3BVWOOW0
Squares and roots of 135674242007040
- 135674242007040 squared (1356742420070402) is 18407499944184857327409561600
- 135674242007040 cubed (1356742420070403) is 2497423602171911625381499489217270513664000
-
The
square root of 135674242007040 is 11647928.6573639349 -
The
cube root of 135674242007040 is 51384.5394015925
Scales and comparisons
How big is 135674242007040?- 135,674,242,007,040 seconds is equal to 4,314,021 years, 11 weeks, 5 days, 22 hours, 24 minutes.
-
To count from 1 to 135,674,242,007,040 would take you about ten million, seven hundred eighty-five thousand and fifty-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 135674242007040 cubic inches would be around 4282 feet tall.
Recreational maths with 135674242007040
- 135674242007040 backwards is 040700242476531
- 135674242007040 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135674242007040's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 135674242007040 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 135674242007040 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/135674242007040/
Chicago style:
Numbermatics. 2024. "Number 135674242007040 - Facts about the integer". https://numbermatics.com/n/135674242007040/
The information we have on file for 135674242007040 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 135674242007040, math, Factors of 135674242007040, curriculum, school, college, exams, university, Prime factorization of 135674242007040, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, six hundred seventy-four billion, two hundred forty-two million, seven thousand and forty.