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14223313024320 = 2635129119016037
BaseRepresentation
bin1100111011111001111110…
…0001010011010101000000
31212100201212010202222111010
43032332133201103111000
53331013321113234240
650130033320120520
72665412645630361
oct316763741232500
955321763688433
1014223313024320
114594089446034
1217186a6906140
137c233914036a
143725aa841b68
15199eaadb5280
hexcef9f853540

14223313024320 has 224 divisors, whose sum is σ = 45225262636416. Its totient is φ = 3787324416000.

The previous prime is 14223313024273. The next prime is 14223313024367. The reversal of 14223313024320 is 2342031332241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14223313024273) and next prime (14223313024367).

It is a super-2 number, since 2×142233130243202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356020342 + ... + 2356026378.

Almost surely, 214223313024320 is an apocalyptic number.

14223313024320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14223313024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22612631318208).

14223313024320 is an abundant number, since it is smaller than the sum of its proper divisors (31001949612096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14223313024320 is a wasteful number, since it uses less digits than its factorization.

14223313024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 14223313024320 its reverse (2342031332241), we get a palindrome (16565344356561).

The spelling of 14223313024320 in words is "fourteen trillion, two hundred twenty-three billion, three hundred thirteen million, twenty-four thousand, three hundred twenty".