13993688003921352000

Names of 13993688003921352000

• Cardinal: 13993688003921352000 can be written as Thirteen quintillion, nine hundred ninety-three quadrillion, six hundred eighty-eight trillion, three billion, nine hundred twenty-one million, three hundred fifty-two thousand.

Scientific notation

• Scientific notation: 1.3993688003921352 × 10¹⁹

Factors of 13993688003921352000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 40173

Divisors of 13993688003921352000

• Number of divisors d(n): 336
• 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 90 96 100 108 120 125 135 144 150 160 180 192 200 216 225 240 250 270 288 300 320 360 375 400 432 450 480 500 540 576 600 675 720 750 800 864 900 960 1000 1080 1125 1200 1350 1440 1500 1600 1728 1800 2000 2160 2250 2400 2700 2880 3000 3375 3600 4000 4320 4500 4800 5400 6000 6750 7200 8000 8640 9000 10800 12000 13500 14400 18000 21600 24000 27000 36000 40163 43200 54000 72000 80326 108000 120489 160652 200815 216000 240978 321304 361467 401630 481956 602445 642608 722934 803260 963912 1004075 1084401 1204890 1285216 1445868 1606520 1807335 1927824 2008150 2168802 2409780 2570432 2891736 3012225 3213040 3614670 3855648 4016300 4337604 4819560 5020375 5422005 5783472 6024450 6426080 7229340 7711296 8032600 8675208 9036675 9639120 10040750 10844010 11566944 12048900 12852160 14458680 15061125 16065200 17350416 18073350 19278240 20081500 21688020 23133888 24097800 27110025 28917360 30122250 32130400 34700832 36146700 38556480 40163000 43376040 45183375 48195600 54220050 57834720 60244500 64260800 69401664 72293400 80326000 86752080 90366750 96391200 108440100 115669440 120489000 135550125 144586800 160652000 173504160 180733500 192782400 216880200 240978000 271100250 289173600 321304000 347008320 361467000 433760400 481956000 542200500 578347200 722934000 867520800 963912000 1084401000 1445868000 1613066569 1735041600 2168802000 2891736000 3226133138 4337604000 4839199707 6452266276 8065332845 8675208000 9678399414 12904532552 14517599121 16130665690 19356798828 24195998535 25809065104 29035198242 32261331380 38713597656 40326664225 43552797363 48391997070 51618130208 58070396484 64522662760 72587995605 77427195312 80653328450 87105594726 96783994140 103236260416 116140792968 120979992675 129045325520 145175991210 154854390624 161306656900 174211189452 193567988280 201633321125 217763986815 232281585936 241959985350 258090651040 290351982420 309708781248 322613313800 348422378904 362939978025 387135976560 403266642250 435527973630 464563171872 483919970700 516181302080 580703964840 604899963375 645226627600 696844757808 725879956050 774271953120 806533284500 871055947260 929126343744 967839941400 1088819934075 1161407929680 1209799926750 1290453255200 1393689515616 1451759912100 1548543906240 1613066569000 1742111894520 1814699890125 1935679882800 2177639868150 2322815859360 2419599853500 2580906510400 2787379031232 2903519824200 3226133138000 3484223789040 3629399780250 3871359765600 4355279736300 4645631718720 4839199707000 5444099670375 5807039648400 6452266276000 6968447578080 7258799560500 7742719531200 8710559472600 9678399414000 10888199340750 11614079296800 12904532552000 13936895156160 14517599121000 17421118945200 19356798828000 21776398681500 23228158593600 29035198242000 34842237890400 38713597656000 43552797363000 58070396484000 69684475780800 87105594726000 116140792968000 174211189452000 348422378904000
• Sum of all divisors σ(n): 13994617936366215840
• Sum of proper divisors (its aliquot sum) s(n): 929932444863840
• 13993688003921352000 is a deficient number, because the sum of its proper divisors (929932444863840) is less than itself. Its deficiency is 13992758071476488160

Bases of 13993688003921352000

• Binary: 1100001000110011100100010001100100001011011000001001010101000000₂
• Hexadecimal: 0xC23391190B609540
• Base-36: 2YBFGE901GPC0

Squares and roots of 13993688003921352000

• 13993688003921352000 squared (13993688003921352000²) is 195823303951092352867729001507904000000
• 13993688003921352000 cubed (13993688003921352000³) is 2740290219388645749812128815755712965473022366208000000000
• The square root of 13993688003921352000 is 3740813815.7253097913
• 13993688003921352000 is a perfect cube number. Its cube root is 2409780

Scales and comparisons

• 13,993,688,003,921,352,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 13,993,688,003,921,352,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 13993688003921352000 cubic inches would be around 200815 feet tall.

Recreational maths with 13993688003921352000

• 13993688003921352000 backwards is 00025312930088639931
• 13993688003921352000 is a Harshad number.
• The number of decimal digits it has is: 20
• The sum of 13993688003921352000's digits is 72
• More coming soon!