13842125874432235008000
13,842,125,874,432,235,008,000 is an even composite number composed of six prime numbers multiplied together.
13842125874432235008000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13842125874432235008000:
212 × 32 × 53 × 17 × 7927 × 22291153589
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 7927 × 22291153589)See below for interesting mathematical facts about the number 13842125874432235008000 from the Numbermatics database.
Names of 13842125874432235008000
- Cardinal: 13842125874432235008000 can be written as Thirteen sextillion, eight hundred forty-two quintillion, one hundred twenty-five quadrillion, eight hundred seventy-four trillion, four hundred thirty-two billion, two hundred thirty-five million, eight thousand.
Scientific notation
- Scientific notation: 1.3842125874432235008 × 1022
Factors of 13842125874432235008000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 20
- Sum of prime factors: 22291161543
Divisors of 13842125874432235008000
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 32 34 36 40 45 48 50 51 60 64 68 72 75 80 85 90 96 100 102 120 125 128 136 144 150 153 160 170 180 192 200 204 225 240 250 255 256 272 288 300 306 320 340 360 375 384 400 408 425 450 480 500 510 512 544 576 600 612 640 680 720 750 765 768 800 816 850 900 960 1000 1020 1024 1088 1125 1152 1200 1224 1275 1280 1360 1440 1500 1530 1536 1600 1632 1700 1800 1920 2000 2040 2048 2125 2176 2250 2304 2400 2448 2550 2560 2720 2880 3000 3060 3072 3200 3264 3400 3600 3825 3840 4000 4080 4096 4250 4352 4500 4608 4800 4896 5100 5120 5440 5760 6000 6120 6144 6375 6400 6528 6800 7200 7650 7680 7927 8000 8160 8500 8704 9000 9216 9600 9792 10200 10240 10880 11520 12000 12240 12288 12750 12800 13056 13600 14400 15300 15360 15854 16000 16320 17000 17408 18000 18432 19125 19200 19584 20400 20480 21760 23040 23781 24000 24480 25500 25600 26112 27200 28800 30600 30720 31708 32000 32640 34000 34816 36000 36864 38250 38400 39168 39635 40800 43520 46080 47562 48000 48960 51000 51200 52224 54400 57600 61200 61440 63416 64000 65280 68000 69632 71343 72000 76500 76800 78336 79270 81600 87040 92160 95124 96000 97920 102000 102400 104448 108800 115200 118905 122400 126832 128000 130560 134759 136000 142686 144000 153000 153600 156672 158540 163200 174080 184320 190248 192000 195840 198175 204000 208896 217600 230400 237810 244800 253664 256000 261120 269518 272000 285372 288000 306000 307200 313344 317080 326400 348160 356715 380496 384000 391680 396350 404277 408000 435200 460800 475620 489600 507328 512000 522240 539036 544000 570744 576000 594525 612000 626688 634160 652800 673795 713430 760992 768000 783360 792700 808554 816000 870400 921600 951240 979200 990875 1014656 1044480 1078072 1088000 1141488 1152000 1189050 1212831 1224000 1268320 1305600 1347590 1426860 1521984 1536000 1566720 1585400 1617108 1632000 1740800 1783575 1902480 1958400 1981750 2021385 2029312 2156144 2176000 2282976 2304000 2378100 2425662 2448000 2536640 2611200 2695180 2853720 2972625 3043968 3133440 3170800 3234216 3264000 3368975 3567150 3804960 3916800 3963500 4042770 4058624 4312288 4352000 4565952 4608000 4756200 4851324 4896000 5073280 5222400 5390360 5707440 5945250 6064155 6087936 6341600 6468432 6528000 6737950 7134300 7609920 7833600 7927000 8085540 8117248 8624576 8704000 8917875 9131904 9512400 9702648 9792000 10106925 10146560 10780720 11414880 11890500 12128310 12175872 12683200 12936864 13056000 13475900 14268600 15219840 15667200 15854000 16171080 16234496 16844875 17249152 17835750 18263808 19024800 19405296 19584000 20213850 20293120 21561440 22829760 23781000 24256620 24351744 25366400 25873728 26112000 26951800 28537200 30320775 30439680 31708000 32342160 32468992 33689750 34498304 35671500 36527616 38049600 38810592 39168000 40427700 40586240 43122880 45659520 47562000 48513240 48703488 50534625 50732800 51747456 53903600 57074400 60641550 60879360 63416000 64684320 67379500 68996608 71343000 73055232 76099200 77621184 78336000 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1515798444052 1604963058408 1671836519175 1783292287120 1894748055065 2006203823010 2139950744544 2229115358900 2273697666078 2674938430680 2786394198625 2853267659392 3031596888104 3209926116816 3343673038350 3410546499117 3566584574240 3789496110130 4012407646020 4279901489088 4458230717800 4547395332156 5015509557525 5349876861360 5572788397250 5684244165195 5706535318784 6063193776208 6419852233632 6687346076700 6821092998234 7133169148480 7578992220260 8024815292040 8359182595875 8559802978176 8916461435600 9094790664312 9473740275325 10031019115050 10699753722720 11145576794500 11368488330390 11413070637568 12126387552416 12839704467264 13374692153400 13642185996468 14266338296960 15157984440520 16049630584080 16718365191750 17052732495585 17119605956352 17832922871200 18189581328624 18947480550650 20062038230100 21399507445440 22291153589000 22736976660780 22826141275136 24252775104832 25077547787625 25679408934528 26749384306800 27284371992936 28421220825975 28532676593920 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35340394900000600 36047202798000612 36379162657248000 38804440167731200 39757944262500675 42408473880000720 43654995188697600 44175493625000750 45059003497500765 45235705472000768 48062937064000816 48505550209664000 50890168656000864 51358817869056000 53010592350000900 54070804197000918 54568743985872000 56544631840000960 58206660251596800 60078671330001020 63612710820001080 66263240437501125 67853558208001152 69847992301916160 70680789800001200 72094405596001224 72758325314496000 75098339162501275 79515888525001350 84816947760001440 87309990377395200 88350987250001500 90118006995001530 90471410944001536 96125874128001632 97011100419328000 101780337312001728 102717635738112000 106021184700001800 108141608394001836 109137487971744000 113089263680001920 116413320503193600 120157342660002040 127225421640002160 132526480875002250 135177010492502295 135707116416002304 141361579600002400 144188811192002448 145516650628992000 150196678325002550 159031777050002700 169633895520002880 174619980754790400 176701974500003000 180236013990003060 180942821888003072 192251748256003264 194022200838656000 198789721312503375 203560674624003456 212042369400003600 216283216788003672 218274975943488000 225295017487503825 226178527360003840 240314685320004080 254450843280004320 265052961750004500 270354020985004590 271414232832004608 282723159200004800 288377622384004896 291033301257984000 300393356650005100 318063554100005400 339267791040005760 349239961509580800 353403949000006000 360472027980006120 361885643776006144 375491695812506375 384503496512006528 397579442625006750 407121349248006912 424084738800007200 432566433576007344 436549951886976000 450590034975007650 452357054720007680 480629370640008160 508901686560008640 530105923500009000 540708041970009180 542828465664009216 565446318400009600 576755244768009792 582066602515968000 600786713300010200 636127108200010800 675885052462511475 678535582080011520 706807898000012000 720944055960012240 723771287552012288 750983391625012750 769006993024013056 795158885250013500 814242698496013824 848169477600014400 865132867152014688 873099903773952000 901180069950015300 904714109440015360 961258741280016320 1017803373120017280 1060211847000018000 1081416083940018360 1085656931328018432 1126475087437519125 1130892636800019200 1153510489536019584 1201573426600020400 1272254216400021600 1351770104925022950 1357071164160023040 1413615796000024000 1441888111920024480 1501966783250025500 1538013986048026112 1590317770500027000 1628485396992027648 1696338955200028800 1730265734304029376 1746199807547904000 1802360139900030600 1809428218880030720 1922517482560032640 2035606746240034560 2120423694000036000 2162832167880036720 2171313862656036864 2252950174875038250 2261785273600038400 2307020979072039168 2403146853200040800 2544508432800043200 2703540209850045900 2714142328320046080 2827231592000048000 2883776223840048960 3003933566500051000 3076027972096052224 3180635541000054000 3256970793984055296 3379425262312557375 3392677910400057600 3460531468608058752 3604720279800061200 3618856437760061440 3845034965120065280 4071213492480069120 4240847388000072000 4325664335760073440 4505900349750076500 4523570547200076800 4614041958144078336 4806293706400081600 5089016865600086400 5407080419700091800 5428284656640092160 5654463184000096000 5767552447680097920 6007867133000102000 6152055944192104448 6361271082000108000 6513941587968110592 6758850524625114750 6785355820800115200 6921062937216117504 7209440559600122400 7690069930240130560 8142426984960138240 8481694776000144000 8651328671520146880 9011800699500153000 9047141094400153600 9228083916288156672 9612587412800163200 10178033731200172800 10814160839400183600 10856569313280184320 11308926368000192000 11535104895360195840 12015734266000204000 12304111888384208896 12722542164000216000 13517701049250229500 13570711641600230400 13842125874432235008 14418881119200244800 15380139860480261120 16284853969920276480 16963389552000288000 17302657343040293760 18023601399000306000 18094282188800307200 18456167832576313344 19225174825600326400 20356067462400345600 21628321678800367200 22617852736000384000 23070209790720391680 24031468532000408000 25445084328000432000 27035402098500459000 27141423283200460800 27684251748864470016 28837762238400489600 30760279720960522240 32569707939840552960 33926779104000576000 34605314686080587520 36047202798000612000 36912335665152626688 38450349651200652800 40712134924800691200 43256643357600734400 45235705472000768000 46140419581440783360 48062937064000816000 50890168656000864000 54070804197000918000 54282846566400921600 55368503497728940032 57675524476800979200 61520559441921044480 67853558208001152000 69210629372161175040 72094405596001224000 76900699302401305600 81424269849601382400 86513286715201468800 90471410944001536000 92280839162881566720 96125874128001632000 101780337312001728000 108141608394001836000 110737006995457880064 115351048953601958400 135707116416002304000 138421258744322350080 144188811192002448000 153801398604802611200 162848539699202764800 173026573430402937600 184561678325763133440 192251748256003264000 203560674624003456000 216283216788003672000 230702097907203916800 271414232832004608000 276842517488644700160 288377622384004896000 307602797209605222400 346053146860805875200 384503496512006528000 407121349248006912000 432566433576007344000 461404195814407833600 553685034977289400320 576755244768009792000 692106293721611750400 769006993024013056000 814242698496013824000 865132867152014688000 922808391628815667200 1153510489536019584000 1384212587443223500800 1538013986048026112000 1730265734304029376000 2307020979072039168000 2768425174886447001600 3460531468608058752000 4614041958144078336000 6921062937216117504000 13842125874432235008000
- Sum of all divisors σ(n): 52841308985063260721280
- Sum of proper divisors (its aliquot sum) s(n): 38999183110631025713280
- 13842125874432235008000 is an abundant number, because the sum of its proper divisors (38999183110631025713280) is greater than itself. Its abundance is 25157057236198790705280
Bases of 13842125874432235008000
- Binary: 101110111001100010000101011111000000010001111100001011001111110000000000002
- Hexadecimal: 0x2EE6215F011F0B3F000
- Base-36: 2959ZE0VL6UTQ80
Squares and roots of 13842125874432235008000
- 13842125874432235008000 squared (138421258744322350080002) is 191604448723626366651957621086140760064000000
- 13842125874432235008000 cubed (138421258744322350080003) is 2652212897333632955368565571966776833253749316051389120512000000000
-
The
square root of 13842125874432235008000 is 117652564249.2854254577 -
The
cube root of 13842125874432235008000 is 24010484.9294270491
Scales and comparisons
How big is 13842125874432235008000?- 13,842,125,874,432,235,008,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,842,125,874,432,235,008,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13842125874432235008000 cubic inches would be around 2000873.7 feet tall.
Recreational maths with 13842125874432235008000
- 13842125874432235008000 backwards is 00080053223447852124831
- 13842125874432235008000 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13842125874432235008000's digits is 72
- More coming soon!
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The information we have on file for 13842125874432235008000 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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