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12432002233014 = 232721323363112983
BaseRepresentation
bin1011010011101000110100…
…0100111011001010110110
31122000111011121111100111200
42310322031010323022312
53112141220032424024
642235103305113330
72422116414264300
oct264721504731266
948014147440450
1012432002233014
113a63423182561
1214894a4488846
136c244316c880
1430d9d80a6970
151685b90e72c9
hexb4e8d13b2b6

12432002233014 has 288 divisors, whose sum is σ = 35223546968064. Its totient is φ = 3135109380480.

The previous prime is 12432002232973. The next prime is 12432002233067. The reversal of 12432002233014 is 41033220023421.

12432002233014 is a `hidden beast` number, since 1 + 2 + 4 + 320 + 0 + 2 + 2 + 330 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 957553567 + ... + 957566549.

It is an arithmetic number, because the mean of its divisors is an integer number (122303982528).

Almost surely, 212432002233014 is an apocalyptic number.

12432002233014 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 12432002233014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611773484032).

12432002233014 is an abundant number, since it is smaller than the sum of its proper divisors (22791544735050).

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

12432002233014 is a wasteful number, since it uses less digits than its factorization.

12432002233014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16672 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12432002233014 its reverse (41033220023421), we get a palindrome (53465222256435).

The spelling of 12432002233014 in words is "twelve trillion, four hundred thirty-two billion, two million, two hundred thirty-three thousand, fourteen".