438421737439232001

Names of 438421737439232001

• Cardinal: 438421737439232001 can be written as Four hundred thirty-eight quadrillion, four hundred twenty-one trillion, seven hundred thirty-seven billion, four hundred thirty-nine million, two hundred thirty-two thousand and one.

Scientific notation

• Scientific notation: 4.38421737439232001 × 10¹⁷

Factors of 438421737439232001

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 27481568918

Divisors of 438421737439232001

• Number of divisors d(n): 128
• Complete list of divisors:
  1 3 7 9 13 21 27 39 43 63 91 117 129 151 189 273 301 351 387 453 559 819 903 1057 1161 1359 1677 1963 2457 2709 3171 3913 4077 5031 5889 6493 8127 9513 11739 13741 15093 17667 19479 28539 35217 41223 45451 53001 58437 84409 105651 123669 136353 175311 253227 371007 409059 590863 759681 1227177 1772589 2279043 5317767 15953301 27481568701 82444706103 192370980907 247334118309 357260393113 577112942721 742002354927 1071781179339 1181707454143 1731338828163 2500822751791 3215343538017 3545122362429 4149716873851 5194016484489 7502468255373 8271952179001 9646030614051 10635367087287 12449150621553 15362196903859 22507404766119 24815856537003 29048018116957 31906101261861 37347451864659 46086590711577 53946319360063 67522214298357 74447569611009 87144054350871 107535378327013 112042355593977 138259772134731 161838958080189 178437825575593 223342708833027 261432163052613 322606134981039 377624235520441 414779316404193 485516874240567 535313476726779 784296489157839 967818404943117 1132872706561323 1249064779029151 1456550622721701 1605940430180337 2319691732482709 2903455214829351 3398618119683969 3747194337087453 4817821290541011 6959075197448127 10195854359051907 11241583011262359 16237842127378963 20877225592344381 33724749033787077 48713526382136889 62631676777033143 146140579146410667 438421737439232001
• Sum of all divisors σ(n): 823409357025812480
• Sum of proper divisors (its aliquot sum) s(n): 384987619586580479
• 438421737439232001 is a deficient number, because the sum of its proper divisors (384987619586580479) is less than itself. Its deficiency is 53434117852651522

Bases of 438421737439232001

• Binary: 11000010101100101100011111101010001111000000000000000000001₂
• Hexadecimal: 0x615963F51E00001
• Base-36: 3BWVJ9PHI8E9

Squares and roots of 438421737439232001

• 438421737439232001 squared (438421737439232001²) is 192213619859234882841736224702464001
• 438421737439232001 cubed (438421737439232001³) is 84270629178169825696690567649452943788638629789696001
• The square root of 438421737439232001 is 662134229.1705149425
• The cube root of 438421737439232001 is 759680.0000000011

Scales and comparisons

• 438,421,737,439,232,001 seconds is equal to 13,940,455,123 years, 4 weeks, 5 days, 22 hours, 13 minutes, 21 seconds.
• To count from 1 to 438,421,737,439,232,001 would take you about forty-one billion, eight hundred twenty-one million, three hundred sixty-five thousand, three hundred sixty-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 438421737439232001 cubic inches would be around 63306.7 feet tall.

Recreational maths with 438421737439232001

• 438421737439232001 backwards is 100232934737124834
• 438421737439232001 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 438421737439232001's digits is 63
• More coming soon!