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14132430312 = 233711132371223
BaseRepresentation
bin11010010100101101…
…11100010111101000
31100110220122211210220
431022112330113220
5212420400232222
610254203010040
71010133450510
oct151226742750
940426584726
1014132430312
115aa2430080
1228a4b09920
131442b98900
14980d0a840
1557aa91b5c
hex34a5bc5e8

14132430312 has 384 divisors, whose sum is σ = 49027368960. Its totient is φ = 3294120960.

The previous prime is 14132430311. The next prime is 14132430341. The reversal of 14132430312 is 21303423141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14132430311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11554933 + ... + 11556155.

It is an arithmetic number, because the mean of its divisors is an integer number (127675440).

Almost surely, 214132430312 is an apocalyptic number.

14132430312 is a gapful number since it is divisible by the number (12) 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 14132430312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24513684480).

14132430312 is an abundant number, since it is smaller than the sum of its proper divisors (34894938648).

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

14132430312 is a wasteful number, since it uses less digits than its factorization.

14132430312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14132430312 its reverse (21303423141), we get a palindrome (35435853453).

It can be divided in two parts, 14132 and 430312, that added together give a palindrome (444444).

The spelling of 14132430312 in words is "fourteen billion, one hundred thirty-two million, four hundred thirty thousand, three hundred twelve".