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14332042432134 = 23272359205340829
BaseRepresentation
bin1101000010001111000001…
…0011000100111010000110
31212202010111200100012001100
43100203300103010322012
53334304010330312014
650252014400440530
73006312241431420
oct320436023047206
955663450305040
1014332042432134
114626204354459
121735790019146
137cc67632a86b
14377962d9b810
1519cc2167b009
hexd08f04c4e86

14332042432134 has 192 divisors, whose sum is σ = 37678786329600. Its totient is φ = 3848474716416.

The previous prime is 14332042432133. The next prime is 14332042432139. The reversal of 14332042432134 is 43123424023341.

14332042432134 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 204 + 2 + 432 + 13 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14332042432133) 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, 351005632 + ... + 351046460.

It is an arithmetic number, because the mean of its divisors is an integer number (196243678800).

Almost surely, 214332042432134 is an apocalyptic number.

14332042432134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14332042432134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839393164800).

14332042432134 is an abundant number, since it is smaller than the sum of its proper divisors (23346743897466).

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

14332042432134 is a wasteful number, since it uses less digits than its factorization.

14332042432134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42979 (or 42976 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 14332042432134 its reverse (43123424023341), we get a palindrome (57455466455475).

The spelling of 14332042432134 in words is "fourteen trillion, three hundred thirty-two billion, forty-two million, four hundred thirty-two thousand, one hundred thirty-four".