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14042502000 = 2432536911129
BaseRepresentation
bin11010001001111111…
…11001001101110000
31100020122110000100200
431010333321031300
5212224340031000
610241231315200
71004662204032
oct150477711560
940218400320
1014042502000
115a5669865a
12287a97bb00
13142a3704a7
14972dbbc52
15572c2b500
hex344ff9370

14042502000 has 240 divisors, whose sum is σ = 49160261280. Its totient is φ = 3735936000.

The previous prime is 14042501971. The next prime is 14042502037. The reversal of 14042502000 is 20524041.

14042502000 is a `hidden beast` number, since 1 + 40 + 425 + 0 + 200 + 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12437436 + ... + 12438564.

It is an arithmetic number, because the mean of its divisors is an integer number (204834422).

Almost surely, 214042502000 is an apocalyptic number.

14042502000 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 14042502000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24580130640).

14042502000 is an abundant number, since it is smaller than the sum of its proper divisors (35117759280).

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

14042502000 is a wasteful number, since it uses less digits than its factorization.

14042502000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The spelling of 14042502000 in words is "fourteen billion, forty-two million, five hundred two thousand".