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14425271640 = 23335132971499
BaseRepresentation
bin11010110111101000…
…00010110101011000
31101020022200201121000
431123310002311120
5214020332143030
610343223345000
71020320533353
oct153364026530
941208621530
1014425271640
1161327650aa
122966bb2160
13148b75b1c0
149abb7929a
15596639860
hex35bd02d58

14425271640 has 512 divisors, whose sum is σ = 54432000000. Its totient is φ = 3373332480.

The previous prime is 14425271617. The next prime is 14425271657. The reversal of 14425271640 is 4617252441.

14425271640 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 5 + 2 + 7 + 1 + 640 = 666.

14425271640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 14425271595 and 14425271604.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 28908111 + ... + 28908609.

It is an arithmetic number, because the mean of its divisors is an integer number (106312500).

Almost surely, 214425271640 is an apocalyptic number.

14425271640 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 14425271640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000000).

14425271640 is an abundant number, since it is smaller than the sum of its proper divisors (40006728360).

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

14425271640 is a wasteful number, since it uses less digits than its factorization.

14425271640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 14425271640 in words is "fourteen billion, four hundred twenty-five million, two hundred seventy-one thousand, six hundred forty".