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14131352340 = 2234571773303
BaseRepresentation
bin11010010100100101…
…10101001100010100
31100110211122002010000
431022102311030110
5212420111233330
610254123531300
71010121340650
oct151222651424
940424562100
1014131352340
115aa1864196
1228a4689b30
1314428ac061
14980b09a60
1557a92c560
hex34a4b5314

14131352340 has 240 divisors, whose sum is σ = 53644453632. Its totient is φ = 3039980544.

The previous prime is 14131352321. The next prime is 14131352351. The reversal of 14131352340 is 4325313141.

It is a happy number.

14131352340 is a `hidden beast` number, since 1 + 4 + 1 + 313 + 5 + 2 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156129 + ... + 229431.

Almost surely, 214131352340 is an apocalyptic number.

14131352340 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 14131352340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26822226816).

14131352340 is an abundant number, since it is smaller than the sum of its proper divisors (39513101292).

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

14131352340 is a wasteful number, since it uses less digits than its factorization.

14131352340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73348 (or 73337 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 14131352340 its reverse (4325313141), we get a palindrome (18456665481).

The spelling of 14131352340 in words is "fourteen billion, one hundred thirty-one million, three hundred fifty-two thousand, three hundred forty".