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14002302132 = 223272133731637
BaseRepresentation
bin11010000101001101…
…00010110010110100
31100010211210122111200
431002212202302310
5212134042132012
610233233532500
71003663414200
oct150246426264
940124718450
1014002302132
115a35a30925
122869414130
131421c369a0
1496b915b00
1556e43a3dc
hex3429a2cb4

14002302132 has 216 divisors, whose sum is σ = 44486658216. Its totient is φ = 3680764416.

The previous prime is 14002302121. The next prime is 14002302137. The reversal of 14002302132 is 23120320041.

14002302132 is a `hidden beast` number, since 1 + 400 + 230 + 2 + 1 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103306896 + 13898995236 = 10164^2 + 117894^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14002302137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8552818 + ... + 8554454.

It is an arithmetic number, because the mean of its divisors is an integer number (205956751).

Almost surely, 214002302132 is an apocalyptic number.

14002302132 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 14002302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22243329108).

14002302132 is an abundant number, since it is smaller than the sum of its proper divisors (30484356084).

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

14002302132 is a wasteful number, since it uses less digits than its factorization.

14002302132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 14002302132 its reverse (23120320041), we get a palindrome (37122622173).

The spelling of 14002302132 in words is "fourteen billion, two million, three hundred two thousand, one hundred thirty-two".