242138111054400
242,138,111,054,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242138111054400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
242138111054400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 242138111054400:
26 × 33 × 52 × 11 × 53 × 61 × 3972
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 53 × 61 × 397 × 397)See below for interesting mathematical facts about the number 242138111054400 from the Numbermatics database.
Names of 242138111054400
- Cardinal: 242138111054400 can be written as Two hundred forty-two trillion, one hundred thirty-eight billion, one hundred eleven million, fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 2.421381110544 × 1014
Factors of 242138111054400
Divisors of 242138111054400
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 53 54 55 60 61 64 66 72 75 80 88 90 96 99 100 106 108 110 120 122 132 135 144 150 159 160 165 176 180 183 192 198 200 212 216 220 225 240 244 264 265 270 275 288 297 300 305 318 320 330 352 360 366 396 397 400 424 432 440 450 477 480 488 495 528 530 540 549 550 576 583 594 600 610 636 660 671 675 704 720 732 792 794 795 800 825 848 864 880 900 915 954 960 976 990 1056 1060 1080 1098 1100 1166 1188 1191 1200 1220 1272 1320 1325 1342 1350 1431 1440 1464 1485 1525 1584 1588 1590 1600 1647 1650 1696 1728 1749 1760 1800 1830 1908 1952 1980 1985 2013 2112 2120 2160 2196 2200 2332 2376 2382 2385 2400 2440 2475 2544 2640 2650 2684 2700 2745 2862 2880 2915 2928 2970 3050 3168 3176 3180 3233 3294 3300 3355 3392 3498 3520 3573 3600 3660 3816 3904 3960 3970 3975 4026 4240 4320 4367 4392 4400 4575 4664 4752 4764 4770 4800 4880 4950 5088 5247 5280 5300 5368 5400 5490 5724 5830 5856 5940 5955 6039 6100 6336 6352 6360 6466 6588 6600 6710 6996 7146 7155 7200 7320 7425 7632 7920 7940 7950 8052 8235 8480 8640 8734 8745 8784 8800 9150 9328 9504 9528 9540 9699 9760 9900 9925 10065 10176 10494 10560 10600 10719 10736 10800 10980 11448 11660 11712 11880 11910 11925 12078 12200 12704 12720 12932 13101 13176 13200 13420 13725 13992 14292 14310 14400 14575 14640 14850 15264 15741 15840 15880 15900 16104 16165 16470 16775 16960 17468 17490 17568 17600 17865 18117 18300 18656 19008 19056 19080 19398 19520 19800 19850 20130 20988 21041 21200 21438 21472 21600 21835 21960 22896 23320 23760 23820 23850 24156 24217 24400 25408 25440 25864 26202 26235 26352 26400 26840 27450 27984 28584 28620 29097 29150 29280 29700 29775 30195 30528 31482 31680 31760 31800 32208 32330 32940 33550 34936 34980 35136 35563 35730 35775 36234 36600 37312 38112 38160 38796 39303 39600 39700 40260 41175 41976 42082 42400 42876 42944 43200 43670 43725 43920 45792 46640 47520 47640 47700 48312 48434 48495 48800 50325 50880 51728 52404 52470 52704 52800 53595 53680 54900 55968 57168 57240 58194 58300 58560 59400 59550 60390 62964 63123 63520 63600 64416 64660 65505 65880 67100 69872 69960 71126 71460 71550 72468 72651 73200 76224 76320 77592 78606 78705 79200 79400 80520 80825 82350 83952 84164 84800 85752 87291 87340 87450 87840 89325 90585 91584 93280 95040 95280 95400 96624 96868 96990 97600 100650 103456 104808 104940 105205 105408 106689 107190 107360 109175 109800 111936 114336 114480 116388 116600 117909 118800 119100 120780 121085 125928 126246 127040 127200 128832 129320 131010 131175 131760 134200 139744 139920 142252 142920 143100 144936 145302 145485 146400 150975 152640 155184 157212 157410 157609 158400 158800 161040 161650 164700 167904 168328 171504 174582 174680 174900 175680 177815 178650 181170 186560 189369 190560 190800 193248 193736 193980 196515 201300 206912 209616 209880 210410 213378 214380 214720 217953 218350 219600 228672 228960 231451 232776 233200 235818 237600 238200 241560 242170 242475 251856 252492 254400 258640 262020 262350 263520 266387 267975 268400 279488 279840 284504 285840 286200 289872 290604 290970 292800 301950 310368 314424 314820 315218 315615 317600 320067 322080 323300 327525 329400 335808 336656 343008 349164 349360 349800 355630 357300 362340 363255 378738 381120 381600 386496 387472 387960 393030 393525 402600 419232 419760 420820 426756 428760 435906 436455 436700 439200 452925 457920 462902 465552 466400 471636 472827 475200 476400 483120 484340 484950 503712 504984 517280 524040 524700 526025 527040 532774 533445 535950 536800 559680 568107 569008 571680 572400 579744 581208 581940 589545 603900 605425 620736 628848 629640 630436 631230 635200 640134 644160 646600 653859 655050 658800 673312 686016 694353 698328 698720 699600 711260 714600 724680 726510 727425 757476 763200 774944 775920 786060 787050 788045 799161 805200 838464 839520 841640 853512 857520 871812 872910 873400 878400 889075 905850 925804 931104 932800 943272 945654 946845 952800 960201 966240 968680 969900 982575 1007424 1009968 1034560 1048080 1049400 1052050 1065548 1066890 1071900 1073600 1089765 1136214 1138016 1143360 1144800 1157255 1159488 1162416 1163880 1179090 1207800 1210850 1257696 1259280 1260872 1262460 1280268 1283501 1293200 1307718 1310100 1317600 1331935 1346624 1388706 1396656 1397440 1399200 1418481 1422520 1429200 1449360 1453020 1454850 1514952 1549888 1551840 1572120 1574100 1576090 1578075 1598322 1600335 1610400 1679040 1683280 1707024 1715040 1733699 1743624 1745820 1746800 1778150 1811700 1816275 1851608 1862208 1886544 1891308 1893690 1905600 1920402 1932480 1937360 1939800 1965150 2019936 2083059 2096160 2098800 2104100 2131096 2133780 2143800 2179530 2182275 2272428 2276032 2289600 2314510 2324832 2327760 2358180 2364135 2397483 2415600 2421700 2515392 2518560 2521744 2524920 2560536 2567002 2586400 2615436 2620200 2635200 2663870 2667225 2777412 2793312 2798400 2836962 2840535 2845040 2858400 2898720 2906040 2909700 2947725 3029904 3103680 3144240 3148200 3152180 3156150 3196644 3200670 3220800 3269295 3366560 3414048 3430080 3467398 3471765 3487248 3491640 3493600 3556300 3623400 3632550 3703216 3773088 3782616 3787380 3840804 3850503 3874720 3879600 3930300 3940225 3995805 4039872 4166118 4192320 4197600 4208200 4255443 4262192 4267560 4287600 4359060 4364550 4544856 4629020 4649664 4655520 4716360 4728270 4734225 4794966 4801005 4831200 4843400 5037120 5043488 5049840 5121072 5134004 5172800 5201097 5230872 5240400 5327740 5334450 5448825 5554824 5586624 5673924 5681070 5690080 5716800 5786275 5797440 5812080 5819400 5895450 6059808 6249177 6288480 6296400 6304360 6312300 6393288 6401340 6417505 6538590 6659675 6733120 6828096 6934796 6943530 6974496 6983280 6987200 7092405 7112600 7192449 7246800 7265100 7406432 7546176 7565232 7574760 7681608 7701006 7749440 7759200 7860600 7880450 7991610 8001675 8332236 8353277 8395200 8416400 8510886 8524384 8535120 8575200 8668495 8718120 8729100 9089712 9258040 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25217440 25249200 25573152 25605360 25670020 26005485 26154360 26638700 27739184 27774120 27933120 28237022 28369620 28405350 28450400 28769796 28842447 28987200 29060400 30260928 30299040 30726432 30804024 31206582 31245885 31442400 31521800 31966440 32006700 32087525 32692950 33328944 33413108 33665600 34043544 34140480 34654527 34673980 34717650 34872480 34916400 35462025 35962245 36358848 37032160 37730880 37826160 37873800 38359728 38408040 38456596 38505030 38747200 39958050 41072032 41608776 41661180 41766385 41846976 42355533 42554430 42621920 42675600 43342475 43590600 44438592 45391392 45448560 46206036 46290200 46555200 46809873 47163600 47282700 47949660 48010050 48070745 49993416 50119662 50434880 50498400 51146304 51210720 51340040 52010970 52076475 52308720 53277400 55478368 55548240 56474044 56739240 56810700 56900800 57539592 57684894 57757545 58120800 59937075 60598080 61452864 61608048 62413164 62491770 62884800 63043600 63932880 64013400 64175050 65385900 66657888 66826216 68087088 69309054 69347960 69435300 69744960 69832800 70592555 70924050 71924490 74064320 75179493 75652320 75747600 76719456 76816080 76913192 77010060 78016455 79916100 82144064 83217552 83322360 83532770 84711066 85108860 85243840 85351200 86527341 86684950 87181200 90782784 90897120 91886047 92412072 92580400 93619746 94327200 94565400 95899320 96020100 96141490 96262575 99986832 100239324 100996800 102421440 102680080 104021940 104152950 104617440 105755639 106386075 106554800 110956736 111096480 112948088 113478480 113621400 115079184 115369788 115515090 116241600 119874150 123216096 124826328 124983540 125299155 126087200 127066599 127865760 128026800 128350100 130027425 130771800 133315776 133652432 136174176 138618108 138695920 138870600 139665600 141185110 141848100 143848980 144212235 150358986 151304640 151495200 153438912 153632160 153826384 154020120 156032910 156229425 159832200 166435104 166644720 167065540 169422132 170217720 170702400 173054682 173272635 173369900 174362400 179811225 181794240 183772094 184824144 185160800 187239492 188654400 189130800 191798640 192040200 192282980 192525150 199973664 200478648 205360160 208043880 208305900 208831925 209234880 211511278 211777665 212772150 213109600 222192960 225538479 225896176 226956960 227242800 230158368 230739576 231030180 234049365 239748300 240353725 246432192 249652656 249967080 250598310 252174400 254133198 255731520 256053600 256700200 259582023 260054850 261543600 267304864 272348352 275658141 277236216 277391840 277741200 282370220 283696200 287697960 288424470 288787725 300717972 302990400 307264320 307652768 308040240 312065820 312458850 317266917 319664400 332870208 333289440 334131080 338844264 340435440 346109364 346545270 346739800 348724800 352962775 359622450 367544188 369648288 370321600 374478984 375897465 378261600 381199797 383597280 384080400 384565960 385050300 390082275 399947328 400957296 410720320 416087760 416611800 417663850 423022556 423555330 425544300 426219200 432636705 451076958 451792352 453913920 454485600 459430235 460316736 461479152 462060360 468098730 479496600 480707450 499305312 499934160 501196620 508266396 509549897 512107200 513400400 519164046 520109700 523087200 528778195 534609728 551316282 554472432 554783680 555482400 564740440 567392400 575395920 576848940 577575450 601435944 615305536 616080480 624131640 624917700 626495775 634533834 635332995 639328800 666578880 668262160 677688528 680870880 692218728 693090540 693479600 705925550 719244900 721061175 735088376 739296576 748957968 751794930 756523200 762399594 767194560 768160800 769131920 770100600 780164550 801914592 826974423 832175520 833223600 835327700 846045112 847110660 851088600 865273410 866363175 902153916 903584704 908971200 918860470 922958304 924120720 936197460 951800751 958993200 961414900 998610624 999868320 1002393240 1016532792 1019099794 1026800800 1038328092 1040219400 1046174400 1057556390 1058888325 1102632564 1108944864 1110964800 1127692395 1129480880 1134784800 1150791840 1153697880 1155150900 1170246825 1202871888 1232160960 1248263280 1249835400 1252991550 1269067668 1270665990 1278657600 1297910115 1336524320 1355377056 1361741760 1378290705 1384437456 1386181080 1386959200 1411851100 1438489800 1442122350 1470176752 1497915936 1503589860 1524799188 1528649691 1536321600 1538263840 1540201200 1560329100 1586334585 1603829184 1653948846 1664351040 1666447200 1670655400 1692090224 1694221320 1702177200 1730546820 1732726350 1804307832 1837720940 1845916608 1848241440 1872394920 1879487325 1903601502 1905998985 1917986400 1922829800 1999736640 2004786480 2033065584 2038199588 2053601600 2076656184 2080438800 2115112780 2117776650 2163183525 2205265128 2217889728 2255384790 2258961760 2269569600 2297151175 2301583680 2307395760 2310301800 2340493650 2405743776 2480923269 2496526560 2499670800 2505983100 2538135336 2541331980 2547749485 2595820230 2643890975 2673048640 2710754112 2756581410 2768874912 2772362160 2773918400 2823702200 2855402253 2876979600 2884244700 2940353504 2995831872 3007179720 3049598376 3057299382 3076527680 3080402400 3120658200 3172669170 3176664975 3307897692 3332894400 3341310800 3384180448 3388442640 3404354400 3461093640 3465452700 3608615664 3675441880 3696482880 3744789840 3758974650 3807203004 3811997970 3835972800 3845659600 4009572960 4066131168 4076399176 4134872115 4153312368 4160877600 4230225560 4235553300 4326367050 4410530256 4510769580 4517923520 4585949073 4594302350 4614791520 4620603600 4680987300 4759003755 4811487552 4961846538 4993053120 4999341600 5011966200 5076270672 5082663960 5095498970 5191640460 5287781950 5513162820 5537749824 5544724320 5605048867 5638461975 5647404400 5710804506 5753959200 5768489400 5880707008 6014359440 6099196752 6114598764 6160804800 6241316400 6345338340 6353329950 6489550575 6615795384 6682621600 6768360896 6776885280 6808708800 6891453525 6922187280 6930905400 7217231328 7350883760 7489579680 7517949300 7614406008 7623995940 7643248455 7691319200 7931672925 8019145920 8132262336 8152798352 8269744230 8306624736 8321755200 8460451120 8471106600 8652734100 8821060512 9021539160 9171898146 9188604700 9229583040 9241207200 9361974600 9518007510 9529994925 9923693076 9998683200 10023932400 10152541344 10165327920 10190997940 10383280920 10575563900 11026325640 11089448640 11210097734 11276923950 11294808800 11421609012 11507918400 11536978800 12028718880 12198393504 12229197528 12404616345 12482632800 12690676680 12706659900 12738747425 12979101150 13231590768 13365243200 13553770560 13757847219 13782907050 13844374560 13861810800 14277011265 14434462656 14701767520 14979159360 15035898600 15228812016 15247991880 15286496910 15382638400 15863345850 16305596704 16539488460 16613249472 16815146601 16920902240 16942213200 17305468200 17642121024 18043078320 18343796292 18377209400 18482414400 18723949200 19036015020 19059989850 19847386152 20047864800 20305082688 20330655840 20381995880 20674360575 20766561840 21151127800 22052651280 22420195468 22553847900 22589617600 22843218024 22929745365 23073957600 23795018775 24057437760 24396787008 24458395056 24809232690 24965265600 25381353360 25413319800 25477494850 25958202300 26463181536 27515694438 27565814100 27688749120 27723621600 28025244335 28554022530 29403535040 30071797200 30457624032 30495983760 30572993820 31726691700 32611193408 33078976920 33630293202 33841804480 33884426400 34610936400 36086156640 36687592584 36754418800 37447898400 38072030040 38119979700 38216242275 39694772304 40095729600 40661311680 40763991760 41348721150 41533123680 42302255600 44105302560 44840390936 45107695800 45686436048 45859490730 46147915200 47590037550 48916790112 49618465380 50445439803 50762706720 50826639600 50954989700 51916404600 52926363072 55031388876 55131628200 55447243200 56050488670 57108045060 60143594400 60915248064 60991967520 61145987640 62023081725 63453383400 66157953840 67260586404 67768852800 68789236095 69221872800 71385056325 72172313280 73375185168 73508837600 74895796800 76144060080 76239959400 76432484550 79389544608 81527983520 82697442300 83066247360 84075733005 84604511200 88210605120 89680781872 90215391600 91372872096 91718981460 95180075100 97833580224 99236930760 100890879606 101525413440 101653279200 101909979400 103832809200 110062777752 110263256400 112100977340 114216090120 114648726825 120287188800 121983935040 122291975280 124046163450 126906766800 132315907680 134521172808 137578472190 138443745600 140126221675 142770112650 146750370336 147017675200 151336319409 152288120160 152479918800 152864969100 158779089216 163055967040 165394884600 168151466010 169209022400 179361563744 180430783200 182745744192 183437962920 190360150200 198473861520 201781759212 203306558400 203819958800 207665618400 220125555504 220526512800 224201954680 228432180240 229297453650 244583950560 248092326900 252227199015 253813533600 264631815360 269042345616 275156944380 280252443350 285540225300 293500740672 302672638818 304576240320 304959837600 305729938200 330789769200 336302932020 343946180475 358723127488 360861566400 366875925840 380720300400 396947723040 403563518424 407639917600 415331236800 420378665025 440251111008 441053025600 448403909360 456864360480 458594907300 489167901120 496184653800 504454398030 507627067200 538084691232 550313888760 560504886700 571080450600 605345277636 609919675200 611459876400 661579538400 672605864040 687892360950 733751851680 756681597045 761440600800 793895446080 807127036848 815279835200 840757330050 880502222016 896807818720 913728720960 917189814600 992369307600 1008908796060 1076169382464 1100627777520 1121009773400 1142160901200 1210690555272 1222919752800 1261135995075 1323159076800 1345211728080 1375784721900 1467503703360 1513363194090 1522881201600 1614254073696 1681514660100 1793615637440 1834379629200 1984738615200 2017817592120 2201255555040 2242019546800 2284321802400 2421381110544 2445839505600 2522271990150 2690423456160 2751569443800 3026726388180 3228508147392 3363029320200 3668759258400 3783407985225 3969477230400 4035635184240 4402511110080 4484039093600 4568643604800 4842762221088 5044543980300 5380846912320 5503138887600 6053452776360 6726058640400 7337518516800 7566815970450 8071270368480 8968078187200 9685524442176 10089087960600 11006277775200 12106905552720 13452117280800 15133631940900 16142540736960 20178175921200 22012555550400 24213811105440 26904234561600 30267263881800 40356351842400 48427622210880 60534527763600 80712703684800 121069055527200 242138111054400
- Sum of all divisors σ(n): 999697092255360
- Sum of proper divisors (its aliquot sum) s(n): 757558981200960
- 242138111054400 is an abundant number, because the sum of its proper divisors (757558981200960) is greater than itself. Its abundance is 515420870146560
Bases of 242138111054400
- Binary: 1101110000111001001011000001100010010010010000002
- Hexadecimal: 0xDC392C189240
- Base-36: 2DTWPNI1C0
Squares and roots of 242138111054400
- 242138111054400 squared (2421381110544002) is 58630864824992947479759360000
- 242138111054400 cubed (2421381110544003) is 14196766858209656937550758507867869184000000
-
The
square root of 242138111054400 is 15560787.6103492911 -
The
cube root of 242138111054400 is 62328.6494631859
Scales and comparisons
How big is 242138111054400?- 242,138,111,054,400 seconds is equal to 7,699,242 years, 49 weeks, 2 days, 12 hours.
-
To count from 1 to 242,138,111,054,400 would take you about nineteen million, two hundred forty-eight thousand, one hundred 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 242138111054400 cubic inches would be around 5194.1 feet tall.
Recreational maths with 242138111054400
- 242138111054400 backwards is 004450111831242
- 242138111054400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 242138111054400's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 242138111054400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 242138111054400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/242138111054400/
Chicago style:
Numbermatics. 2024. "Number 242138111054400 - Facts about the integer". https://numbermatics.com/n/242138111054400/
The information we have on file for 242138111054400 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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