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14125524435540 = 223257157193369979
BaseRepresentation
bin1100110110001101101011…
…0111011100001001010100
31212000101110002021222010200
43031203122313130021110
53322413033223414130
650013102031220500
72655351443426040
oct315433267341124
955011402258120
1014125524435540
114556668323a11
121701755677730
137b605382928b
1436b97138d020
15197685d9d760
hexcd8daddc254

14125524435540 has 288 divisors, whose sum is σ = 49535858561280. Its totient is φ = 3191495344128.

The previous prime is 14125524435523. The next prime is 14125524435571. The reversal of 14125524435540 is 4553442552141.

14125524435540 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 5 + 52 + 4 + 43 + 554 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 37994271 + ... + 38364249.

Almost surely, 214125524435540 is an apocalyptic number.

14125524435540 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 14125524435540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24767929280640).

14125524435540 is an abundant number, since it is smaller than the sum of its proper divisors (35410334125740).

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

14125524435540 is a wasteful number, since it uses less digits than its factorization.

14125524435540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370351 (or 370346 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

Adding to 14125524435540 its reverse (4553442552141), we get a palindrome (18678966987681).

The spelling of 14125524435540 in words is "fourteen trillion, one hundred twenty-five billion, five hundred twenty-four million, four hundred thirty-five thousand, five hundred forty".