13953952795996800

Names of 13953952795996800

• Cardinal: 13953952795996800 can be written as Thirteen quadrillion, nine hundred fifty-three trillion, nine hundred fifty-two billion, seven hundred ninety-five million, nine hundred ninety-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.39539527959968 × 10¹⁶

Factors of 13953952795996800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 17944898153

Divisors of 13953952795996800

• Number of divisors d(n): 288
• 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 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 128 135 144 150 160 162 180 192 200 216 225 240 243 270 288 300 320 324 360 384 400 405 432 450 480 486 540 576 600 640 648 675 720 800 810 864 900 960 972 1080 1152 1200 1215 1296 1350 1440 1600 1620 1728 1800 1920 1944 2025 2160 2400 2430 2592 2700 2880 3200 3240 3456 3600 3888 4050 4320 4800 4860 5184 5400 5760 6075 6480 7200 7776 8100 8640 9600 9720 10368 10800 12150 12960 14400 15552 16200 17280 19440 21600 24300 25920 28800 31104 32400 38880 43200 48600 51840 64800 77760 86400 97200 129600 155520 194400 259200 388800 777600 17944898143 35889796286 53834694429 71779592572 89724490715 107669388858 143559185144 161504083287 179448981430 215338777716 269173472145 287118370288 323008166574 358897962860 430677555432 448622453575 484512249861 538346944290 574236740576 646016333148 717795925720 807520416435 861355110864 897244907150 969024499722 1076693888580 1148473481152 1292032666296 1345867360725 1435591851440 1453536749583 1615040832870 1722710221728 1794489814300 1938048999444 2153387777160 2296946962304 2422561249305 2584065332592 2691734721450 2871183702880 2907073499166 3230081665740 3445420443456 3588979628600 3876097998888 4037602082175 4306775554320 4360610248749 4845122498610 5168130665184 5383469442900 5742367405760 5814146998332 6460163331480 6890840886912 7177959257200 7267683747915 7752195997776 8075204164350 8613551108640 8721220497498 9690244997220 10336261330368 10766938885800 11484734811520 11628293996664 12112806246525 12920326662960 14355918514400 14535367495830 15504391995552 16150408328700 17227102217280 17442440994996 19380489994440 20672522660736 21533877771600 21803051243745 23256587993328 24225612493050 25840653325920 28711837028800 29070734991660 31008783991104 32300816657400 34454204434560 34884881989992 36338418739575 38760979988880 43067755543200 43606102487490 46513175986656 48451224986100 51681306651840 57423674057600 58141469983320 62017567982208 64601633314800 69769763979984 72676837479150 77521959977760 86135511086400 87212204974980 93026351973312 96902449972200 103362613303680 109015256218725 116282939966640 129203266629600 139539527959968 145353674958300 155043919955520 172271022172800 174424409949960 186052703946624 193804899944400 218030512437450 232565879933280 258406533259200 279079055919936 290707349916600 310087839911040 348848819899920 387609799888800 436061024874900 465131759866560 516813066518400 558158111839872 581414699833200 697697639799840 775219599777600 872122049749800 930263519733120 1162829399666400 1395395279599680 1550439199555200 1744244099499600 2325658799332800 2790790559199360 3488488198999200 4651317598665600 6976976397998400 13953952795996800
• Sum of all divisors σ(n): 51635008817508480
• Sum of proper divisors (its aliquot sum) s(n): 37681056021511680
• 13953952795996800 is an abundant number, because the sum of its proper divisors (37681056021511680) is greater than itself. Its abundance is 23727103225514880

Bases of 13953952795996800

• Binary: 110001100100110000101111001111100111100011001010000000₂
• Hexadecimal: 0x31930BCF9E3280
• Base-36: 3TE9HF2CO00

Squares and roots of 13953952795996800

• 13953952795996800 squared (13953952795996800²) is 194712798632906912318105610240000
• 13953952795996800 cubed (13953952795996800³) is 2717013200900013305793331319312316293087232000000
• The square root of 13953952795996800 is 118126850.4447519755
• The cube root of 13953952795996800 is 240749.6973462525

Scales and comparisons

• 13,953,952,795,996,800 seconds is equal to 443,692,536 years, 26 weeks, 1 day.
• To count from 1 to 13,953,952,795,996,800 would take you about one billion, three hundred thirty-one million, seventy-seven thousand, six hundred 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 13953952795996800 cubic inches would be around 20062.5 feet tall.

Recreational maths with 13953952795996800

• 13953952795996800 backwards is 00869959725935931
• 13953952795996800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13953952795996800's digits is 90
• More coming soon!