13740817484916000
13,740,817,484,916,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13740817484916000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2880 divisors.
13740817484916000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13740817484916000:
25 × 39 × 53 × 412 × 473
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 41 × 47 × 47 × 47)See below for interesting mathematical facts about the number 13740817484916000 from the Numbermatics database.
Names of 13740817484916000
- Cardinal: 13740817484916000 can be written as Thirteen quadrillion, seven hundred forty trillion, eight hundred seventeen billion, four hundred eighty-four million, nine hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3740817484916 × 1016
Factors of 13740817484916000
Divisors of 13740817484916000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 47 48 50 54 60 72 75 80 81 82 90 94 96 100 108 120 123 125 135 141 144 150 160 162 164 180 188 200 205 216 225 235 240 243 246 250 270 282 288 300 324 328 360 369 375 376 400 405 410 423 432 450 470 480 486 492 500 540 564 600 615 648 656 675 705 720 729 738 750 752 800 810 820 846 864 900 940 972 984 1000 1025 1080 1107 1125 1128 1175 1200 1215 1230 1269 1296 1312 1350 1410 1440 1458 1476 1500 1504 1620 1640 1681 1692 1800 1845 1880 1927 1944 1968 2000 2025 2050 2115 2160 2187 2209 2214 2250 2256 2350 2400 2430 2460 2538 2592 2700 2820 2916 2952 3000 3075 3240 3280 3321 3362 3375 3384 3525 3600 3645 3690 3760 3807 3854 3888 3936 4000 4050 4100 4230 4320 4374 4418 4428 4500 4512 4700 4860 4920 5043 5076 5125 5400 5535 5640 5781 5832 5875 5904 6000 6075 6150 6345 6480 6560 6561 6627 6642 6724 6750 6768 7050 7200 7290 7380 7520 7614 7708 7776 8100 8200 8405 8460 8748 8836 8856 9000 9225 9400 9635 9720 9840 9963 10086 10125 10152 10250 10575 10800 10935 11045 11070 11280 11421 11562 11664 11750 11808 12000 12150 12300 12690 12960 13122 13254 13284 13448 13500 13536 14100 14580 14760 15129 15228 15375 15416 16200 16400 16605 16810 16920 17343 17496 17625 17672 17712 18000 18225 18450 18800 19035 19270 19440 19680 19683 19881 19926 20172 20250 20304 20500 21150 21600 21870 22090 22140 22560 22842 23124 23328 23500 24300 24600 25215 25380 26244 26508 26568 26896 27000 27675 28200 28905 29160 29520 29889 30258 30375 30456 30750 30832 31725 32400 32800 32805 33135 33210 33620 33840 34263 34686 34992 35250 35344 35424 36000 36450 36900 37600 38070 38540 38880 39366 39762 39852 40344 40500 40608 41000 42025 42300 43740 44180 44280 45387 45684 46125 46248 47000 48175 48600 49200 49815 50430 50760 52029 52488 52875 53016 53136 53792 54000 54675 55225 55350 56400 57105 57810 58320 59040 59643 59778 60516 60750 60912 61500 61664 63450 64800 65610 66270 66420 67240 67680 68526 69372 69984 70500 70688 72900 73800 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83772702240 83785472469 84819861018 85147837875 86199045750 86394154500 86624538912 86959494000 87263231500 88033068000 89133481350 90233894700 90824360400 91945648800 93094969410 94244290020 95075713440 97452606276 99037201500 99301300704 100259883000 100915956000 102177405450 103438854900 103672985400 104715877800 108280673640 108989232480 111713963292 112792368375 113093148024 113530450500 114932061000 115192206000 117805362525 118844641800 120311859600 121815757845 124126625880 124407582480 125659053360 127229791527 129298568625 129591231750 129936808368 130894847250 132049602000 132348492000 133679844000 135350842050 136236540600 137918473200 138230647200 139621170400 139642454115 141366435030 142613570160 144374231520 146178909414 148555802250 148951951056 150389824500 150790864032 151373934000 151716564000 153242748000 155158282350 155509478100 157073816700 158459522400 162421010460 163483848720 165502167840 167570944938 169639722036 170295675750 172398091500 172788309000 173918988000 174526463000 178266962700 180467789400 181648720800 186189938820 188488580040 194386847625 194905212552 196342270875 198074403000 200519766000 203026263075 204354810900 206877709800 207345970800 209431755600 212049652545 216561347280 222833703375 223427926584 225584736750 226186296048 227060901000 229864122000 230384412000 232737423525 235610725050 237689283600 240623719200 243631515690 248253251760 248815164960 251318106720 254459583054 255443513625 258597137250 259182463500 259873616736 261789694500 264099204000 270701684100 272473081200 275836946400 279284908230 282732870060 285227140320 292357818828 297111604500 297903902112 300779649000 302747868000 310316564700 311018956200 314147633400 324842020920 326967697440 335141889876 338377105125 339279444072 340591351500 344796183000 345576618000 349052926000 353416087575 356533925400 360935578800 365447273535 372379877640 376977160080 381689374581 387895705875 388773695250 389810425104 392684541750 396148806000 401039532000 406052526150 408709621800 413755419600 414691941600 418863511200 418927362345 424099305090 433122694560 445667406750 446855853168 451169473500 452372592096 454121802000 459728244000 465474847050 471221450100 475378567200 487263031380 496506503520 508919166108 510887027250 517194274500 518364927000 523579389000 541403368200 544946162400 558569816460 565465740120 584715637656 589026812625 594223209000 601559298000 609078789225 620633129400 622037912400 628295266800 636148957635 649684041840 670283779752 676754210250 678558888144 681182703000 689592366000 691153236000 698105852000 698212270575 706832175150 713067850800 721871157600 730894547070 744759755280 753954320160 763378749162 775791411750 777547390500 779620850208 785369083500 792297612000 812105052300 817419243600 827510839200 837854724690 848198610180 891334813500 893711706336 902338947000 908243604000 930949694100 942442900200 974526062760 1015131315375 1017838332216 1021774054500 1034388549000 1036729854000 1047158778000 1060248262725 1082806736400 1117139632920 1130931480240 1145068123743 1163687117625 1169431275312 1178053625250 1188446418000 1203118596000 1218157578450 1241266258800 1244075824800 1256590533600 1272297915270 1299368083680 1340567559504 1353508420500 1357117776288 1362365406000 1379184732000 1396424541150 1413664350300 1426135701600 1461789094140 1489519510560 1526757498324 1551582823500 1555094781000 1570738167000 1624210104600 1634838487200 1675709449380 1696397220360 1767080437875 1782669627000 1804677894000 1827236367675 1861899388200 1884885800400 1908446872905 1949052125520 2030262630750 2035676664432 2043548109000 2068777098000 2073459708000 2094317556000 2094636811725 2120496525450 2165613472800 2234279265840 2261862960480 2290136247486 2327374235250 2338862550624 2356107250500 2376892836000 2436315156900 2482532517600 2544595830540 2681135119008 2707016841000 2724730812000 2792849082300 2827328700600 2923578188280 3045393946125 3053514996648 3103165647000 3110189562000 3141476334000 3180744788175 3248420209200 3351418898760 3392794440720 3435204371229 3491061352875 3534160875750 3565339254000 3609355788000 3654472735350 3723798776400 3769771600800 3816893745810 3898104251040 4060525261500 4071353328864 4087096218000 4137554196000 4189273623450 4240993050900 4468558531680 4580272494972 4654748470500 4712214501000 4872630313800 5089191661080 5301241313625 5414033682000 5585698164600 5654657401200 5725340618715 5847156376560 6090787892250 6107029993296 6206331294000 6220379124000 6282952668000 6361489576350 6496840418400 6702837797520 6785588881440 6870408742458 6982122705750 7068321751500 7130678508000 7308945470700 7447597552800 7633787491620 8121050523000 8174192436000 8378547246900 8481986101800 9136181838375 9160544989944 9309496941000 9424429002000 9542234364525 9745260627600 10178383322160 10473184058625 10602482627250 10828067364000 11171396329200 11309314802400 11450681237430 11694312753120 12181575784500 12214059986592 12412662588000 12722979152700 13405675595040 13740817484916 13964245411500 14136643503000 14617890941400 15267574983240 15903723940875 16242101046000 16757094493800 16963972203600 17176021856145 18272363676750 18321089979888 18618993882000 18848858004000 19084468729050 19490521255200 20356766644320 20946368117250 21204965254500 22342792658400 22901362474860 24363151569000 25445958305400 27481634969832 27928490823000 28273287006000 28626703093575 29235781882800 30535149966480 31807447881750 32484202092000 33514188987600 33927944407200 34352043712290 36544727353500 36642179959776 37237987764000 38168937458100 41892736234500 42409930509000 45802724949720 47711171822625 48726303138000 50891916610800 54963269939664 55856981646000 56546574012000 57253406187150 58471563765600 61070299932960 63614895763500 67028377975200 68704087424580 73089454707000 76337874916200 83785472469000 84819861018000 85880109280725 91605449899440 95422343645250 97452606276000 101783833221600 109926539879328 111713963292000 114506812374300 127229791527000 137408174849160 143133515467875 146178909414000 152675749832400 167570944938000 169639722036000 171760218561450 183210899798880 190844687290500 229013624748600 254459583054000 274816349698320 286267030935750 292357818828000 305351499664800 335141889876000 343520437122900 381689374581000 429400546403625 458027249497200 508919166108000 549632699396640 572534061871500 687040874245800 763378749162000 858801092807250 916054498994400 1145068123743000 1374081748491600 1526757498324000 1717602185614500 2290136247486000 2748163496983200 3435204371229000 4580272494972000 6870408742458000 13740817484916000
- Sum of all divisors σ(n): 53034579890772480
- Sum of proper divisors (its aliquot sum) s(n): 39293762405856480
- 13740817484916000 is an abundant number, because the sum of its proper divisors (39293762405856480) is greater than itself. Its abundance is 25552944920940480
Bases of 13740817484916000
- Binary: 1100001101000100110011011000010001110010100101001000002
- Hexadecimal: 0x30D133611CA520
- Base-36: 3RAPOEP4I00
Squares and roots of 13740817484916000
- 13740817484916000 squared (137408174849160002) is 188810065153773267887527056000000
- 13740817484916000 cubed (137408174849160003) is 2594404644593096887641603829992821887296000000000
-
The
square root of 13740817484916000 is 117221233.0805131909 -
The
cube root of 13740817484916000 is 239517.6509345635
Scales and comparisons
How big is 13740817484916000?- 13,740,817,484,916,000 seconds is equal to 436,915,492 years, 45 weeks, 5 days, 18 hours.
-
To count from 1 to 13,740,817,484,916,000 would take you about one billion, three hundred ten million, seven hundred forty-six thousand, four hundred seventy-eight 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 13740817484916000 cubic inches would be around 19959.8 feet tall.
Recreational maths with 13740817484916000
- 13740817484916000 backwards is 00061948471804731
- The number of decimal digits it has is: 17
- The sum of 13740817484916000's digits is 63
- More coming soon!
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"Number 13740817484916000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 13740817484916000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13740817484916000/
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The information we have on file for 13740817484916000 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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