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14211125256240 = 24325117207248971
BaseRepresentation
bin1100111011001100100100…
…0100101010000000110000
31212022120101202100012202100
43032303021010222000300
53330313341031144430
650120300102020400
72664501634413003
oct316631104520060
955276352305670
1014211125256240
1145899a47a6530
121716265117700
137c1146114c83
14371b71d0753a
151999e5e04960
hexcecc912a030

14211125256240 has 240 divisors, whose sum is σ = 52071828546816. Its totient is φ = 3444629414400.

The previous prime is 14211125256239. The next prime is 14211125256257. The reversal of 14211125256240 is 4265252111241.

14211125256240 is a `hidden beast` number, since 1 + 4 + 2 + 1 + 1 + 1 + 2 + 5 + 25 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14211125256195 and 14211125256204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56954955 + ... + 57203925.

Almost surely, 214211125256240 is an apocalyptic number.

14211125256240 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 14211125256240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26035914273408).

14211125256240 is an abundant number, since it is smaller than the sum of its proper divisors (37860703290576).

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

14211125256240 is a wasteful number, since it uses less digits than its factorization.

14211125256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256208 (or 256199 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 14211125256240 its reverse (4265252111241), we get a palindrome (18476377367481).

The spelling of 14211125256240 in words is "fourteen trillion, two hundred eleven billion, one hundred twenty-five million, two hundred fifty-six thousand, two hundred forty".