14131138656768000

Names of 14131138656768000

• Cardinal: 14131138656768000 can be written as Fourteen quadrillion, one hundred thirty-one trillion, one hundred thirty-eight billion, six hundred fifty-six million, seven hundred sixty-eight thousand.

Scientific notation

• Scientific notation: 1.4131138656768 × 10¹⁶

Factors of 14131138656768000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 5196

Divisors of 14131138656768000

• Number of divisors d(n): 1248
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 343 350 375 384 392 400 420 448 480 490 500 512 525 560 588 600 640 672 686 700 735 750 768 784 800 840 875 896 960 980 1000 1024 1029 1050 1120 1176 1200 1225 1280 1344 1372 1400 1470 1500 1536 1568 1600 1680 1715 1750 1792 1920 1960 2000 2048 2058 2100 2240 2352 2400 2450 2560 2625 2688 2744 2800 2940 3000 3072 3136 3200 3360 3430 3500 3584 3675 3840 3920 4000 4096 4116 4200 4480 4704 4800 4900 5120 5145 5179 5250 5376 5488 5600 5880 6000 6125 6144 6272 6400 6720 6860 7000 7168 7350 7680 7840 8000 8232 8400 8575 8960 9408 9600 9800 10240 10290 10358 10500 10752 10976 11200 11760 12000 12250 12288 12544 12800 13440 13720 14000 14336 14700 15360 15537 15680 16000 16464 16800 17150 17920 18375 18816 19200 19600 20480 20580 20716 21000 21504 21952 22400 23520 24000 24500 25088 25600 25725 25895 26880 27440 28000 28672 29400 30720 31074 31360 32000 32928 33600 34300 35840 36253 36750 37632 38400 39200 41160 41432 42000 42875 43008 43904 44800 47040 48000 49000 50176 51200 51450 51790 53760 54880 56000 58800 61440 62148 62720 64000 65856 67200 68600 71680 72506 73500 75264 76800 77685 78400 82320 82864 84000 85750 86016 87808 89600 94080 96000 98000 100352 102400 102900 103580 107520 108759 109760 112000 117600 124296 125440 128000 128625 129475 131712 134400 137200 143360 145012 147000 150528 153600 155370 156800 164640 165728 168000 171500 175616 179200 181265 188160 192000 196000 200704 205800 207160 215040 217518 219520 224000 235200 248592 250880 253771 256000 257250 258950 263424 268800 274400 290024 294000 301056 307200 310740 313600 329280 331456 336000 343000 351232 358400 362530 376320 384000 388425 392000 411600 414320 430080 435036 439040 448000 470400 497184 501760 507542 512000 514500 517900 526848 537600 543795 548800 580048 588000 602112 621480 627200 647375 658560 662912 672000 686000 702464 716800 725060 752640 761313 768000 776850 784000 823200 828640 870072 878080 896000 906325 940800 994368 1003520 1015084 1029000 1035800 1053696 1075200 1087590 1097600 1160096 1176000 1242960 1254400 1268855 1294750 1317120 1325824 1344000 1372000 1404928 1450120 1505280 1522626 1536000 1553700 1568000 1646400 1657280 1740144 1756160 1776397 1792000 1812650 1881600 1942125 1988736 2030168 2058000 2071600 2107392 2150400 2175180 2195200 2320192 2352000 2485920 2508800 2537710 2589500 2634240 2651648 2688000 2718975 2744000 2900240 3010560 3045252 3107400 3136000 3292800 3314560 3480288 3512320 3552794 3584000 3625300 3763200 3806565 3884250 3977472 4060336 4116000 4143200 4214784 4350360 4390400 4531625 4640384 4704000 4971840 5017600 5075420 5179000 5268480 5303296 5329191 5376000 5437950 5488000 5800480 6090504 6214800 6272000 6344275 6585600 6629120 6960576 7024640 7105588 7250600 7526400 7613130 7768500 7954944 8120672 8232000 8286400 8700720 8780800 8881985 9063250 9280768 9408000 9943680 10150840 10358000 10536960 10606592 10658382 10752000 10875900 10976000 11600960 12181008 12429600 12544000 12688550 13171200 13258240 13594875 13921152 14211176 14501200 15052800 15226260 15537000 15909888 16241344 16464000 16572800 17401440 17561600 17763970 18126500 18561536 18816000 19032825 19887360 20301680 20716000 21073920 21213184 21316764 21751800 21952000 23201920 24362016 24859200 25088000 25377100 26342400 26516480 26645955 26822041 27189750 27842304 28422352 29002400 30452520 31074000 31721375 31819776 32482688 32928000 33145600 34802880 35123200 35527940 36253000 37123072 37632000 38065650 39774720 40603360 41432000 42633528 43503600 43904000 44409925 46403840 48724032 49718400 50754200 52684800 53032960 53291910 53644082 54379500 55684608 56844704 58004800 60905040 62148000 63442750 63639552 64965376 65856000 66291200 69605760 71055880 72506000 74246144 75264000 76131300 79549440 80466123 81206720 82864000 85267056 87007200 87808000 88819850 92807680 95164125 97448064 99436800 101508400 105369600 106065920 106583820 107288164 108759000 111369216 113689408 116009600 121810080 124296000 126885500 129930752 131712000 132582400 133229775 134110205 139211520 142111760 145012000 148492288 152262600 159098880 160932246 162413440 165728000 170534112 174014400 175616000 177639700 185615360 187754287 190328250 194896128 198873600 203016800 213167640 214576328 217518000 222049625 222738432 227378816 232019200 243620160 248592000 253771000 259861504 263424000 265164800 266459550 268220410 278423040 284223520 290024000 304525200 318197760 321864492 324826880 331456000 341068224 348028800 355279400 371230720 375508574 380656500 389792256 397747200 402330615 406033600 426335280 429152656 435036000 444099250 445476864 454757632 464038400 487240320 497184000 507542000 519723008 526848000 530329600 532919100 536440820 556846080 563262861 568447040 580048000 609050400 643728984 649653760 662912000 666148875 670551025 682136448 696057600 710558800 742461440 751017148 761313000 779584512 795494400 804661230 812067200 852670560 858305312 870072000 888198500 909515264 928076800 938771435 974480640 994368000 1015084000 1039446016 1065838200 1072881640 1113692160 1126525722 1136894080 1160096000 1218100800 1287457968 1299307520 1314280009 1325824000 1332297750 1341102050 1364272896 1392115200 1421117600 1502034296 1522626000 1559169024 1590988800 1609322460 1624134400 1705341120 1716610624 1740144000 1776397000 1819030528 1856153600 1877542870 1948961280 1988736000 2011653075 2030168000 2131676400 2145763280 2227384320 2253051444 2273788160 2320192000 2436201600 2574915936 2598615040 2628560018 2651648000 2664595500 2682204100 2728545792 2784230400 2816314305 2842235200 3004068592 3045252000 3118338048 3218644920 3248268800 3352755125 3410682240 3433221248 3480288000 3552794000 3638061056 3712307200 3755085740 3897922560 3942840027 3977472000 4023306150 4060336000 4263352800 4291526560 4506102888 4547576320 4640384000 4693857175 4872403200 5149831872 5197230080 5257120036 5329191000 5364408200 5457091584 5568460800 5632628610 5684470400 6008137184 6090504000 6437289840 6496537600 6571400045 6705510250 6821364480 6866442496 6960576000 7105588000 7276122112 7510171480 7795845120 7885680054 7954944000 8046612300 8120672000 8526705600 8583053120 9012205776 9095152640 9199960063 9280768000 9387714350 9744806400 10058265375 10299663744 10514240072 10658382000 10728816400 10914183168 11136921600 11265257220 11368940800 12016274368 12181008000 12874579680 12993075200 13142800090 13411020500 13642728960 13732884992 13921152000 14081571525 14211176000 15020342960 15591690240 15771360108 16093224600 16241344000 17053411200 17166106240 18024411552 18190305280 18399920126 18561536000 18775428700 19489612800 19714200135 20116530750 20599327488 21028480144 21316764000 21457632800 21828366336 22530514440 22737881600 23469285875 24032548736 24362016000 25749159360 25986150400 26285600180 26822041000 27285457920 27465769984 27599880189 27842304000 28163143050 28422352000 30040685920 31542720216 32186449200 32482688000 32857000225 34106822400 34332212480 36048823104 36380610560 36799840252 37550857400 38979225600 39428400270 40233061500 41198654976 42056960288 42633528000 42915265600 45061028880 45475763200 45999800315 46938571750 48065097472 48724032000 51498318720 52571200360 53644082000 54570915840 54931539968 55199760378 55684608000 56326286100 56844704000 60081371840 63085440432 64372898400 64965376000 65714000450 68213644800 68664424960 70407857625 72097646208 73599680504 75101714800 77958451200 78856800540 80466123000 82397309952 84113920576 85267056000 85830531200 90122057760 90951526400 91999600630 93877143500 96130194944 97448064000 98571000675 102996637440 105142400720 107288164000 109141831680 109863079936 110399520756 112652572200 113689408000 120162743680 126170880864 128745796800 129930752000 131428000900 136427289600 137328849920 137999400945 140815715250 144195292416 147199361008 150203429600 157713601080 160932246000 164285001125 164794619904 168227841152 170534112000 171661062400 180244115520 181903052800 183999201260 187754287000 192260389888 194896128000 197142001350 205993274880 210284801440 214576328000 220799041512 225305144400 227378816000 229999001575 240325487360 252341761728 257491593600 262856001800 272854579200 274657699840 275998801890 281631430500 288390584832 294398722016 300406859200 315427202160 321864492000 328570002250 329589239808 336455682304 341068224000 343322124800 360488231040 367998402520 375508574000 384520779776 389792256000 394284002700 411986549760 420569602880 429152656000 441598083024 450610288800 454757632000 459998003150 480650974720 492855003375 504683523456 514983187200 525712003600 545709158400 549315399680 551997603780 563262861000 576781169664 588797444032 600813718400 630854404320 643728984000 657140004500 672911364608 682136448000 686644249600 689997004725 720976462080 735996805040 751017148000 769041559552 788568005400 823973099520 841139205760 858305312000 883196166048 901220577600 909515264000 919996006300 961301949440 985710006750 1009367046912 1029966374400 1051424007200 1103995207560 1126525722000 1149995007875 1153562339328 1177594888064 1201627436800 1261708808640 1287457968000 1314280009000 1345822729216 1364272896000 1373288499200 1379994009450 1441952924160 1471993610080 1502034296000 1577136010800 1647946199040 1682278411520 1716610624000 1766392332096 1802441155200 1839992012600 1922603898880 1971420013500 2018734093824 2059932748800 2102848014400 2207990415120 2253051444000 2299990015750 2307124678656 2355189776128 2403254873600 2523417617280 2574915936000 2628560018000 2691645458432 2728545792000 2746576998400 2759988018900 2883905848320 2943987220160 3004068592000 3154272021600 3364556823040 3433221248000 3449985023625 3532784664192 3604882310400 3679984025200 3845207797760 3942840027000 4037468187648 4119865497600 4205696028800 4415980830240 4506102888000 4599980031500 4710379552256 4806509747200 5046835234560 5149831872000 5257120036000 5383290916864 5519976037800 5767811696640 5887974440320 6008137184000 6308544043200 6729113646080 6866442496000 6899970047250 7065569328384 7209764620800 7359968050400 7885680054000 8074936375296 8239730995200 8411392057600 8831961660480 9012205776000 9199960063000 9420759104512 9613019494400 10093670469120 10299663744000 10514240072000 11039952075600 11535623393280 11775948880640 12016274368000 12617088086400 13458227292160 13732884992000 13799940094500 14131138656768 14419529241600 14719936100800 15771360108000 16149872750592 16822784115200 17663923320960 18024411552000 18399920126000 18841518209024 19226038988800 20187340938240 20599327488000 21028480144000 22079904151200 23551897761280 24032548736000 25234176172800 26916454584320 27599880189000 28262277313536 28839058483200 29439872201600 31542720216000 33645568230400 35327846641920 36048823104000 36799840252000 37683036418048 40374681876480 41198654976000 42056960288000 44159808302400 47103795522560 48065097472000 50468352345600 55199760378000 56524554627072 57678116966400 58879744403200 63085440432000 67291136460800 70655693283840 72097646208000 73599680504000 80749363752960 84113920576000 88319616604800 94207591045120 96130194944000 100936704691200 110399520756000 113049109254144 117759488806400 126170880864000 134582272921600 141311386567680 144195292416000 147199361008000 168227841152000 176639233209600 188415182090240 201873409382400 220799041512000 235518977612800 252341761728000 282622773135360 288390584832000 294398722016000 336455682304000 353278466419200 403746818764800 441598083024000 471037955225600 504683523456000 565245546270720 588797444032000 672911364608000 706556932838400 883196166048000 942075910451200 1009367046912000 1177594888064000 1413113865676800 1766392332096000 2018734093824000 2355189776128000 2826227731353600 3532784664192000 4710379552256000 7065569328384000 14131138656768000
• Sum of all divisors σ(n): 54847545095865600
• Sum of proper divisors (its aliquot sum) s(n): 40716406439097600
• 14131138656768000 is an abundant number, because the sum of its proper divisors (40716406439097600) is greater than itself. Its abundance is 26585267782329600

Bases of 14131138656768000

• Binary: 110010001101000011001000011011111010001001000000000000₂
• Hexadecimal: 0x3234321BE89000
• Base-36: 3V52JH91UYO

Squares and roots of 14131138656768000

• 14131138656768000 squared (14131138656768000²) is 199689079736802915312205824000000
• 14131138656768000 cubed (14131138656768000³) is 2821834074003163195659670667114506616832000000000
• The square root of 14131138656768000 is 118874465.9578666625
• The cube root of 14131138656768000 is 241764.4194280037

Scales and comparisons

• 14,131,138,656,768,000 seconds is equal to 449,326,498 years, 41 weeks, 5 days, 10 hours, 40 minutes.
• To count from 1 to 14,131,138,656,768,000 would take you about one billion, three hundred forty-seven million, nine hundred seventy-nine thousand, four hundred ninety-six 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 14131138656768000 cubic inches would be around 20147 feet tall.

Recreational maths with 14131138656768000

• 14131138656768000 backwards is 00086765683113141
• 14131138656768000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 14131138656768000's digits is 60
• More coming soon!