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14275681380 = 22355101127229
BaseRepresentation
bin11010100101110010…
…11001110001100100
31100211220012202100000
431102321121301210
5213214033301010
610320321221300
71013523201222
oct152271316144
940756182300
1014275681380
116066282794
122924a91830
13146677395c
14995d59b12
1558843b7c0
hex352e59c64

14275681380 has 288 divisors, whose sum is σ = 45908029440. Its totient is φ = 3723148800.

The previous prime is 14275681351. The next prime is 14275681397. The reversal of 14275681380 is 8318657241.

14275681380 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 568 + 1 + 3 + 80 = 666.

14275681380 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 (45).

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 95 ways as a sum of consecutive naturals, for example, 62339106 + ... + 62339334.

It is an arithmetic number, because the mean of its divisors is an integer number (159402880).

Almost surely, 214275681380 is an apocalyptic number.

14275681380 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 14275681380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22954014720).

14275681380 is an abundant number, since it is smaller than the sum of its proper divisors (31632348060).

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

14275681380 is a wasteful number, since it uses less digits than its factorization.

14275681380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 14275681380 in words is "fourteen billion, two hundred seventy-five million, six hundred eighty-one thousand, three hundred eighty".