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14232251340 = 223351913110589
BaseRepresentation
bin11010100000100111…
…01110101111001100
31100201212111021112000
431100103232233030
5213121424020330
610312130312300
71012455066066
oct152023565714
940655437460
1014232251340
11604380a09a
122912428690
13145a778ac8
14990292736
1558470d560
hex3504eebcc

14232251340 has 192 divisors, whose sum is σ = 46968768000. Its totient is φ = 3567732480.

The previous prime is 14232251303. The next prime is 14232251347. The reversal of 14232251340 is 4315223241.

14232251340 is a `hidden beast` number, since 1 + 42 + 32 + 251 + 340 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14232251347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1338766 + ... + 1349354.

It is an arithmetic number, because the mean of its divisors is an integer number (244629000).

Almost surely, 214232251340 is an apocalyptic number.

14232251340 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 14232251340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484384000).

14232251340 is an abundant number, since it is smaller than the sum of its proper divisors (32736516660).

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

14232251340 is a wasteful number, since it uses less digits than its factorization.

14232251340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10757 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14232251340 its reverse (4315223241), we get a palindrome (18547474581).

The spelling of 14232251340 in words is "fourteen billion, two hundred thirty-two million, two hundred fifty-one thousand, three hundred forty".