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14120130000 = 243544331087
BaseRepresentation
bin11010010011010000…
…00001010111010000
31100110001111220221210
431021220001113100
5212404223130000
610253043220120
71006624060524
oct151150012720
940401456853
1014120130000
115a96499729
1228a0977640
131440480012
1497d427d84
15579962350
hex349a015d0

14120130000 has 200 divisors, whose sum is σ = 45728962048. Its totient is φ = 3753216000.

The previous prime is 14120129981. The next prime is 14120130007. The reversal of 14120130000 is 3102141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14120130007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12989457 + ... + 12990543.

Almost surely, 214120130000 is an apocalyptic number.

14120130000 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 14120130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22864481024).

14120130000 is an abundant number, since it is smaller than the sum of its proper divisors (31608832048).

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

14120130000 is a wasteful number, since it uses less digits than its factorization.

14120130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 14120130000 its reverse (3102141), we get a palindrome (14123232141).

The spelling of 14120130000 in words is "fourteen billion, one hundred twenty million, one hundred thirty thousand".