13337289316290408
13,337,289,316,290,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 13337289316290408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 128 divisors.
13337289316290408 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 13337289316290408:
23 × 3 × 7 × 17 × 19 × 245785222547
(2 × 2 × 2 × 3 × 7 × 17 × 19 × 245785222547)See below for interesting mathematical facts about the number 13337289316290408 from the Numbermatics database.
Names of 13337289316290408
- Cardinal: 13337289316290408 can be written as Thirteen quadrillion, three hundred thirty-seven trillion, two hundred eighty-nine billion, three hundred sixteen million, two hundred ninety thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.3337289316290408 × 1016
Factors of 13337289316290408
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 8
- Sum of prime factors: 245785222595
Divisors of 13337289316290408
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4522 6783 7752 9044 13566 18088 27132 54264 245785222547 491570445094 737355667641 983140890188 1474711335282 1720496557829 1966281780376 2949422670564 3440993115658 4178348783299 4669919228393 5161489673487 5898845341128 6881986231316 8356697566598 9339838456786 10322979346974 12535046349897 13763972462632 14009757685179 16713395133196 18679676913572 20645958693948 25070092699794 28019515370358 29248441483093 32689434598751 33426790266392 37359353827144 41291917387896 50140185399588 56039030740716 58496882966186 65378869197502 79388626882681 87745324449279 98068303796253 100280370799176 112078061481432 116993765932372 130757738395004 158777253765362 175490648898558 196136607592506 233987531864744 238165880648043 261515476790008 317554507530724 350981297797116 392273215185012 476331761296086 555720388178767 635109015061448 701962595594232 784546430370024 952663522592172 1111440776357534 1667161164536301 1905327045184344 2222881552715068 3334322329072602 4445763105430136 6668644658145204 13337289316290408
- Sum of all divisors σ(n): 42471686456294400
- Sum of proper divisors (its aliquot sum) s(n): 29134397140003992
- 13337289316290408 is an abundant number, because the sum of its proper divisors (29134397140003992) is greater than itself. Its abundance is 15797107823713584
Bases of 13337289316290408
- Binary: 1011110110001000110001101001111111011011001111011010002
- Hexadecimal: 0x2F6231A7F6CF68
- Base-36: 3NBOA4KBASO
Squares and roots of 13337289316290408
- 13337289316290408 squared (133372893162904082) is 177883286306434258887446192806464
- 13337289316290408 cubed (133372893162904083) is 2372480854001433472525593114097513836899163597312
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The
square root of 13337289316290408 is 115487182.4761969331 -
The
cube root of 13337289316290408 is 237149.6696625131
Scales and comparisons
How big is 13337289316290408?- 13,337,289,316,290,408 seconds is equal to 424,084,545 years, 16 weeks, 2 days, 2 hours, 26 minutes, 48 seconds.
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To count from 1 to 13,337,289,316,290,408 would take you about one billion, two hundred seventy-two million, two hundred fifty-three thousand, six hundred thirty-five 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 13337289316290408 cubic inches would be around 19762.5 feet tall.
Recreational maths with 13337289316290408
- 13337289316290408 backwards is 80409261398273331
- The number of decimal digits it has is: 17
- The sum of 13337289316290408's digits is 69
- More coming soon!
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