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14006123520 = 210358531069
BaseRepresentation
bin11010000101101010…
…00111110000000000
31100011002222210110120
431002311013300000
5212141031423040
610233451500240
71004041041234
oct150265076000
940132883416
1014006123520
115a381009a4
12286a757680
13142297416c
1496c22c5c4
1556e9427d0
hex342d47c00

14006123520 has 176 divisors, whose sum is σ = 44892183840. Its totient is φ = 3727097856.

The previous prime is 14006123497. The next prime is 14006123531. The reversal of 14006123520 is 2532160041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13101546 + ... + 13102614.

Almost surely, 214006123520 is an apocalyptic number.

14006123520 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 14006123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22446091920).

14006123520 is an abundant number, since it is smaller than the sum of its proper divisors (30886060320).

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

14006123520 is a wasteful number, since it uses less digits than its factorization.

14006123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 14006123520 its reverse (2532160041), we get a palindrome (16538283561).

The spelling of 14006123520 in words is "fourteen billion, six million, one hundred twenty-three thousand, five hundred twenty".