40240407820072000

Names of 40240407820072000

• Cardinal: 40240407820072000 can be written as Forty quadrillion, two hundred forty trillion, four hundred seven billion, eight hundred twenty million, seventy-two thousand.

Scientific notation

• Scientific notation: 4.0240407820072 × 10¹⁶

Factors of 40240407820072000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 58114

Divisors of 40240407820072000

• Number of divisors d(n): 224
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 9059 17729 18118 31319 35458 36236 45295 62638 70916 72472 88645 90590 125276 141832 144944 156595 177290 181180 226475 250552 283664 289888 313190 354580 362360 443225 452950 501104 567328 579776 626380 709160 724720 782975 886450 905900 1002208 1132375 1134656 1252760 1418320 1449440 1565950 1772900 1811800 2004416 2216125 2264750 2505520 2836640 2898880 3131900 3545800 3623600 3914875 4432250 4529500 5011040 5673280 6263800 7091600 7247200 7829750 8864500 9059000 10022080 12527600 14183200 14494400 15659500 17729000 18118000 25055200 28366400 31319000 35458000 36236000 50110400 62638000 70916000 72472000 125276000 141832000 160607011 250552000 283718821 321214022 555254551 567437642 642428044 803035055 1110509102 1134875284 1284856088 1418594105 1606070110 2221018204 2269750568 2569712176 2776272755 2837188210 3212140220 4015175275 4442036408 4539501136 5139424352 5552545510 5674376420 6424280440 7092970525 8030350550 8884072816 9079002272 10278848704 11105091020 11348752840 12848560880 13881363775 14185941050 16060701100 17768145632 18158004544 20075876375 22210182040 22697505680 25697121760 27762727550 28371882100 32121402200 35464852625 35536291264 40151752750 44420364080 45395011360 51394243520 55525455100 56743764200 64242804400 69406818875 70929705250 80303505500 88840728160 90790022720 111050910200 113487528400 128485608800 138813637750 141859410500 160607011000 177681456320 222101820400 226975056800 256971217600 277627275500 283718821000 321214022000 444203640800 453950113600 555254551000 567437642000 642428044000 888407281600 1110509102000 1134875284000 1284856088000 2221018204000 2269750568000 4442036408000 5030050977509 10060101955018 20120203910036 25150254887545 40240407820072 50300509775090 80480815640144 100601019550180 125751274437725 160961631280288 201202039100360 251502548875450 321923262560576 402404078200720 503005097750900 628756372188625 804808156401440 1006010195501800 1257512744377250 1609616312802880 2012020391003600 2515025488754500 4024040782007200 5030050977509000 8048081564014400 10060101955018000 20120203910036000 40240407820072000
• Sum of all divisors σ(n): 99675174804192000
• Sum of proper divisors (its aliquot sum) s(n): 59434766984120000
• 40240407820072000 is an abundant number, because the sum of its proper divisors (59434766984120000) is greater than itself. Its abundance is 19194359164048000

Bases of 40240407820072000

• Binary: 10001110111101100111000000001101101110110111010001000000₂
• Hexadecimal: 0x8EF6700DBB7440
• Base-36: B08185BJ2V4

Squares and roots of 40240407820072000

• 40240407820072000 squared (40240407820072000²) is 1619290421525711771126085184000000
• 40240407820072000 cubed (40240407820072000³) is 65160906941330937196238019691740817013248000000000
• The square root of 40240407820072000 is 200600119.1925667821
• The cube root of 40240407820072000 is 342678.9739160127

Scales and comparisons

• 40,240,407,820,072,000 seconds is equal to 1,279,520,496 years, 48 weeks, 11 hours, 6 minutes, 40 seconds.
• To count from 1 to 40,240,407,820,072,000 would take you about three billion, eight hundred thirty-eight million, five hundred sixty-one thousand, four hundred ninety 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 40240407820072000 cubic inches would be around 28556.6 feet tall.

Recreational maths with 40240407820072000

• 40240407820072000 backwards is 00027002870404204
• 40240407820072000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40240407820072000's digits is 40
• More coming soon!