13940513976000

Names of 13940513976000

• Cardinal: 13940513976000 can be written as Thirteen trillion, nine hundred forty billion, five hundred thirteen million, nine hundred seventy-six thousand.

Scientific notation

• Scientific notation: 1.3940513976 × 10¹³

Factors of 13940513976000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 6426

Divisors of 13940513976000

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 41 48 50 60 61 64 74 75 80 82 96 100 111 120 122 123 125 148 150 160 164 183 185 192 200 205 222 240 244 246 250 296 300 305 320 328 366 370 375 400 410 444 480 488 492 500 555 592 600 610 615 656 732 740 750 800 820 888 915 925 960 976 984 1000 1025 1110 1184 1200 1220 1230 1312 1464 1480 1500 1517 1525 1600 1640 1776 1830 1850 1952 1968 2000 2050 2220 2257 2368 2400 2440 2460 2501 2624 2775 2928 2960 3000 3034 3050 3075 3280 3552 3660 3700 3904 3936 4000 4100 4440 4514 4551 4575 4625 4800 4880 4920 5002 5125 5550 5856 5920 6000 6068 6100 6150 6277 6560 6771 7104 7320 7400 7503 7585 7625 7872 8000 8200 8880 9028 9102 9150 9250 9760 9840 10004 10250 11100 11285 11712 11840 12000 12136 12200 12300 12505 12554 13120 13542 13875 14640 14800 15006 15170 15250 15375 16400 17760 18056 18204 18300 18500 18831 19520 19680 20008 20500 22200 22570 22755 22875 24000 24272 24400 24600 25010 25108 27084 27750 29280 29600 30012 30340 30500 30750 31385 32800 33855 35520 36112 36408 36600 37000 37515 37662 37925 39360 40016 41000 44400 45140 45510 45750 48544 48800 49200 50020 50216 54168 55500 56425 58560 59200 60024 60680 61000 61500 62525 62770 65600 67710 72224 72816 73200 74000 75030 75324 75850 80032 82000 88800 90280 91020 91500 92537 94155 97088 97600 98400 100040 100432 108336 111000 112850 113775 120048 121360 122000 123000 125050 125540 135420 144448 145632 146400 148000 150060 150648 151700 156925 160064 164000 169275 177600 180560 182040 183000 185074 187575 188310 189625 196800 200080 200864 216672 222000 225700 227550 232249 240096 242720 244000 246000 250100 251080 257357 270840 277611 282125 291264 292800 296000 300120 301296 303400 312625 313850 328000 338550 361120 364080 366000 370148 375150 376620 379250 382897 400160 401728 433344 444000 451400 455100 462685 464498 470775 480192 485440 488000 492000 500200 502160 514714 541680 555222 564250 568875 600240 602592 606800 625250 627700 677100 696747 722240 728160 732000 740296 750300 753240 758500 765794 772071 784625 800320 846375 888000 902800 910200 925370 928996 937875 941550 984000 1000400 1004320 1029428 1083360 1110444 1128500 1137750 1148691 1161245 1200480 1205184 1213600 1250500 1255400 1286785 1354200 1388055 1393494 1456320 1464000 1480592 1500600 1506480 1517000 1531588 1544142 1569250 1692750 1805600 1820400 1850740 1857992 1875750 1883100 1914485 2000800 2008640 2058856 2166720 2220888 2257000 2275500 2297382 2313425 2322490 2353875 2400960 2427200 2501000 2510800 2573570 2708400 2776110 2786988 2961184 3001200 3012960 3034000 3063176 3088284 3138500 3385500 3483735 3611200 3640800 3701480 3715984 3751500 3766200 3828970 3860355 4001600 4117712 4441776 4514000 4551000 4594764 4626850 4644980 4707750 5002000 5021600 5147140 5416800 5552220 5573976 5743455 5806225 5922368 6002400 6025920 6068000 6126352 6176568 6277000 6433925 6771000 6940275 6967470 7281600 7402960 7431968 7503000 7532400 7657940 7720710 8235424 8883552 9028000 9102000 9189528 9253700 9289960 9415500 9522209 9572425 10004000 10043200 10294280 10833600 11104440 11147952 11486910 11567125 11612450 12004800 12136000 12252704 12353136 12554000 12867850 13542000 13880550 13934940 14167189 14805920 14863936 15006000 15064800 15315880 15441420 15698777 16470848 17418675 17767104 18056000 18204000 18379056 18507400 18579920 18831000 19044418 19144850 19301775 20008000 20588560 22208880 22295904 22973820 23134250 23224900 24505408 24706272 25108000 25735700 27084000 27761100 27869880 28334378 28566627 28717275 29031125 29611840 30012000 30129600 30631760 30882840 31397554 32169625 34701375 34837350 36408000 36758112 37014800 37159840 37662000 38088836 38289700 38603550 41177120 42501567 44417760 44591808 45947640 46268500 46449800 47096331 47611045 47862125 49412544 50216000 51471400 54168000 55522200 55739760 56668756 57133254 57434550 58062250 60024000 61263520 61765680 62795108 64339250 69402750 69674700 70835945 73516224 74029600 74319680 75324000 76177672 76579400 77207100 78493885 82354240 85003134 87093375 88835520 91895280 92537000 92899600 94192662 95222090 95724250 96508875 102942800 111044400 111479520 113337512 114266508 114869100 116124500 122527040 123531360 125590216 128678500 138805500 139349400 141671890 142833135 143586375 148059200 150648000 152355344 153158800 154414200 156987770 170006268 174186750 183790560 185074000 185799200 188385324 190444180 191448500 193017750 205885600 212507835 222088800 222959040 226675024 228533016 229738200 232249000 235481655 238055225 247062720 251180432 257357000 277611000 278698800 283343780 285666270 287172750 304710688 306317600 308828400 313975540 340012536 348373500 354179725 367581120 370148000 371598400 376770648 380888360 382897000 386035500 392469425 411771200 425015670 444177600 453350048 457066032 459476400 464498000 470963310 476110450 502360864 514714000 555222000 557397600 566687560 571332540 574345500 580854749 609421376 612635200 617656800 627951080 680025072 696747000 708359450 714165675 740296000 753541296 761776720 765794000 772071000 784938850 850031340 906700096 914132064 918952800 928996000 941926620 952220900 1004721728 1029428000 1062539175 1110444000 1114795200 1133375120 1142665080 1148691000 1161709498 1177408275 1190276125 1235313600 1255902160 1360050144 1393494000 1416718900 1428331350 1507082592 1523553440 1531588000 1544142000 1569877700 1700062680 1742564247 1770898625 1828264128 1837905600 1857992000 1883853240 1904441800 1962347125 2058856000 2125078350 2220888000 2266750240 2285330160 2297382000 2323418996 2354816550 2380552250 2511804320 2720100288 2786988000 2833437800 2856662700 2904273745 3014165184 3047106880 3063176000 3088284000 3139755400 3400125360 3485128494 3541797250 3570828375 3767706480 3808883600 3924694250 4250156700 4533500480 4570660320 4594764000 4646837992 4709633100 4761104500 5023608640 5312695875 5573976000 5666875600 5713325400 5808547490 5887041375 6176568000 6279510800 6800250720 6970256988 7083594500 7141656750 7535412960 7617767200 7849388500 8500313400 8712821235 9141320640 9189528000 9293675984 9419266200 9522209000 10625391750 11333751200 11426650800 11617094980 11774082750 12559021600 13600501440 13940513976 14167189000 14283313500 14521368725 15070825920 15235534400 15698777000 17000626800 17425642470 18587351968 18838532400 19044418000 21250783500 22667502400 22853301600 23234189960 23548165500 25118043200 27881027952 28334378000 28566627000 29042737450 31397554000 34001253600 34851284940 37174703936 37677064800 38088836000 42501567000 43564106175 45706603200 46468379920 47096331000 55762055904 56668756000 57133254000 58085474900 62795108000 68002507200 69702569880 72606843625 75354129600 76177672000 85003134000 87128212350 92936759840 94192662000 111524111808 113337512000 114266508000 116170949800 125590216000 139405139760 145213687250 170006268000 174256424700 185873519680 188385324000 217820530875 228533016000 232341899600 278810279520 290427374500 340012536000 348512849400 376770648000 435641061750 464683799200 557620559040 580854749000 697025698800 871282123500 929367598400 1161709498000 1394051397600 1742564247000 2323418996000 2788102795200 3485128494000 4646837992000 6970256988000 13940513976000
• Sum of all divisors σ(n): 49230494546688
• Sum of proper divisors (its aliquot sum) s(n): 35289980570688
• 13940513976000 is an abundant number, because the sum of its proper divisors (35289980570688) is greater than itself. Its abundance is 21349466594688

Bases of 13940513976000

• Binary: 11001010110111000111011000100010111011000000₂
• Hexadecimal: 0xCADC7622EC0
• Base-36: 4XW6M35XC

Squares and roots of 13940513976000

• 13940513976000 squared (13940513976000²) is 194337929915051328576000000
• 13940513976000 cubed (13940513976000³) is 2709170628047681538771096178176000000000
• The square root of 13940513976000 is 3733699.7704689647
• The cube root of 13940513976000 is 24067.2385177651

Scales and comparisons

• 13,940,513,976,000 seconds is equal to 443,265 years, 11 weeks, 4 days, 9 hours, 20 minutes.
• To count from 1 to 13,940,513,976,000 would take you about one million, one hundred eight thousand, one hundred sixty-three 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 13940513976000 cubic inches would be around 2005.6 feet tall.

Recreational maths with 13940513976000

• 13940513976000 backwards is 00067931504931
• 13940513976000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13940513976000's digits is 48
• More coming soon!