13217954144256000

Names of 13217954144256000

• Cardinal: 13217954144256000 can be written as Thirteen quadrillion, two hundred seventeen trillion, nine hundred fifty-four billion, one hundred forty-four million, two hundred fifty-six thousand.

Scientific notation

• Scientific notation: 1.3217954144256 × 10¹⁶

Factors of 13217954144256000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 10545908

Divisors of 13217954144256000

• Number of divisors d(n): 816
• 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 8000 8160 8192 8500 8704 9000 9216 9600 9792 10200 10240 10880 11520 12000 12240 12288 12750 12800 13056 13600 14400 15300 15360 16000 16320 16384 17000 17408 18000 18432 19125 19200 19584 20400 20480 21760 23040 24000 24480 24576 25500 25600 26112 27200 28800 30600 30720 32000 32640 32768 34000 34816 36000 36864 38250 38400 39168 40800 40960 43520 46080 48000 48960 49152 51000 51200 52224 54400 57600 61200 61440 64000 65280 65536 68000 69632 72000 73728 76500 76800 78336 81600 81920 87040 92160 96000 97920 98304 102000 102400 104448 108800 115200 122400 122880 128000 130560 136000 139264 144000 147456 153000 153600 156672 163200 163840 174080 184320 192000 195840 196608 204000 204800 208896 217600 230400 244800 245760 256000 261120 272000 278528 288000 294912 306000 307200 313344 326400 327680 348160 368640 384000 391680 408000 409600 417792 435200 460800 489600 491520 512000 522240 544000 557056 576000 589824 612000 614400 626688 652800 696320 737280 768000 783360 816000 819200 835584 870400 921600 979200 983040 1024000 1044480 1088000 1114112 1152000 1224000 1228800 1253376 1305600 1392640 1474560 1536000 1566720 1632000 1638400 1671168 1740800 1843200 1958400 2048000 2088960 2176000 2304000 2448000 2457600 2506752 2611200 2785280 2949120 3072000 3133440 3264000 3342336 3481600 3686400 3916800 4096000 4177920 4352000 4608000 4896000 4915200 5013504 5222400 5570560 6144000 6266880 6528000 6963200 7372800 7833600 8192000 8355840 8704000 9216000 9792000 10027008 10444800 10545881 12288000 12533760 13056000 13926400 14745600 15667200 16711680 17408000 18432000 19584000 20889600 21091762 24576000 25067520 26112000 27852800 31334400 31637643 34816000 36864000 39168000 41779200 42183524 50135040 52224000 52729405 62668800 63275286 69632000 73728000 78336000 83558400 84367048 94912929 104448000 105458810 125337600 126550572 139264000 156672000 158188215 168734096 179279977 189825858 208896000 210917620 250675200 253101144 263647025 313344000 316376430 337468192 358559954 379651716 417792000 421835240 474564645 506202288 527294050 537839931 626688000 632752860 674936384 717119908 759303432 790941075 843670480 896399885 949129290 1012404576 1054588100 1075679862 1253376000 1265505720 1318235125 1349872768 1434239816 1518606864 1581882150 1613519793 1687340960 1792799770 1898258580 2024809152 2109176200 2151359724 2372823225 2531011440 2636470250 2689199655 2699745536 2868479632 3037213728 3163764300 3227039586 3374681920 3585599540 3796517160 3954705375 4049618304 4218352400 4302719448 4481999425 4745646450 5062022880 5272940500 5378399310 5399491072 5736959264 6074427456 6327528600 6454079172 6749363840 7171199080 7593034320 7909410750 8067598965 8099236608 8436704800 8605438896 8963998850 9491292900 10124045760 10545881000 10756798620 10798982144 11473918528 11864116125 12148854912 12655057200 12908158344 13445998275 13498727680 14342398160 15186068640 15818821500 16135197930 16198473216 16873409600 17210877792 17927997700 18982585800 20248091520 21091762000 21513597240 21597964288 22409997125 22947837056 23728232250 24297709824 25310114400 25816316688 26891996550 26997455360 28684796320 30372137280 31637643000 32270395860 32396946432 33746819200 34421755584 35855995400 37965171600 40337994825 40496183040 42183524000 43027194480 43195928576 44819994250 45895674112 47456464500 48595419648 50620228800 51632633376 53783993100 53994910720 57369592640 60744274560 63275286000 64540791720 64793892864 67229991375 67493638400 68843511168 71711990800 75930343200 80675989650 80992366080 84367048000 86054388960 86391857152 89639988500 91791348224 94912929000 97190839296 101240457600 103265266752 107567986200 107989821440 114739185280 121488549120 126550572000 129081583440 129587785728 134459982750 134987276800 137687022336 143423981600 151860686400 161351979300 161984732160 168734096000 172108777920 172783714304 179279977000 183582696448 189825858000 194381678592 201689974125 202480915200 206530533504 215135972400 215979642880 229478370560 242977098240 253101144000 258163166880 259175571456 268919965500 269974553600 275374044672 286847963200 303721372800 322703958600 323969464320 337468192000 344217555840 345567428608 358559954000 367165392896 379651716000 388763357184 403379948250 404961830400 413061067008 430271944800 431959285760 458956741120 485954196480 506202288000 516326333760 518351142912 537839931000 539949107200 550748089344 573695926400 607442745600 645407917200 647938928640 674936384000 688435111680 691134857216 717119908000 734330785792 759303432000 777526714368 806759896500 809923660800 826122134016 860543889600 863918571520 917913482240 971908392960 1012404576000 1032652667520 1036702285824 1075679862000 1079898214400 1101496178688 1147391852800 1214885491200 1290815834400 1295877857280 1349872768000 1376870223360 1434239816000 1468661571584 1518606864000 1555053428736 1613519793000 1619847321600 1652244268032 1721087779200 1727837143040 1835826964480 1943816785920 2024809152000 2065305335040 2073404571648 2151359724000 2159796428800 2202992357376 2294783705600 2429770982400 2581631668800 2591755714560 2699745536000 2753740446720 2868479632000 2937323143168 3037213728000 3110106857472 3227039586000 3239694643200 3304488536064 3442175558400 3455674286080 3671653928960 3887633571840 4049618304000 4130610670080 4302719448000 4319592857600 4405984714752 4589567411200 4859541964800 5163263337600 5183511429120 5399491072000 5507480893440 5736959264000 5874646286336 6074427456000 6220213714944 6454079172000 6479389286400 6608977072128 6884351116800 7343307857920 7775267143680 8099236608000 8261221340160 8605438896000 8639185715200 8811969429504 9179134822400 9719083929600 10326526675200 10367022858240 10798982144000 11014961786880 11473918528000 11749292572672 12148854912000 12908158344000 12958778572800 13217954144256 13768702233600 14686615715840 15550534287360 16198473216000 16522442680320 17210877792000 17278371430400 17623938859008 18358269644800 19438167859200 20653053350400 21597964288000 22029923573760 22947837056000 24297709824000 25816316688000 25917557145600 26435908288512 27537404467200 29373231431680 31101068574720 32396946432000 33044885360640 34421755584000 35247877718016 36716539289600 38876335718400 41306106700800 43195928576000 44059847147520 45895674112000 48595419648000 51632633376000 51835114291200 52871816577024 55074808934400 58746462863360 64793892864000 66089770721280 68843511168000 73433078579200 77752671436800 82612213401600 86391857152000 88119694295040 91791348224000 97190839296000 103265266752000 105743633154048 110149617868800 129587785728000 132179541442560 137687022336000 146866157158400 155505342873600 165224426803200 176239388590080 183582696448000 194381678592000 206530533504000 220299235737600 259175571456000 264359082885120 275374044672000 293732314316800 330448853606400 367165392896000 388763357184000 413061067008000 440598471475200 528718165770240 550748089344000 660897707212800 734330785792000 777526714368000 826122134016000 881196942950400 1101496178688000 1321795414425600 1468661571584000 1652244268032000 2202992357376000 2643590828851200 3304488536064000 4405984714752000 6608977072128000 13217954144256000
• Sum of all divisors σ(n): 50457993473401488
• Sum of proper divisors (its aliquot sum) s(n): 37240039329145488
• 13217954144256000 is an abundant number, because the sum of its proper divisors (37240039329145488) is greater than itself. Its abundance is 24022085184889488

Bases of 13217954144256000

• Binary: 101110111101011010100011000101011011010000000000000000₂
• Hexadecimal: 0x2EF5A8C56D0000
• Base-36: 3M5DGB00ZK0

Squares and roots of 13217954144256000

• 13217954144256000 squared (13217954144256000²) is 174714311759654365257793536000000
• 13217954144256000 cubed (13217954144256000³) is 2309365761184358213077413214973608329216000000000
• The square root of 13217954144256000 is 114969361.7632802207
• The cube root of 13217954144256000 is 236440.2520411331

Scales and comparisons

• 13,217,954,144,256,000 seconds is equal to 420,290,055 years, 50 weeks, 3 days, 8 hours.
• To count from 1 to 13,217,954,144,256,000 would take you about one billion, two hundred sixty million, eight hundred seventy thousand, one hundred sixty-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 13217954144256000 cubic inches would be around 19703.4 feet tall.

Recreational maths with 13217954144256000

• 13217954144256000 backwards is 00065244145971231
• The number of decimal digits it has is: 17
• The sum of 13217954144256000's digits is 54
• More coming soon!