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14151124344 = 2337247503509
BaseRepresentation
bin11010010110111100…
…10000010101111000
31100112012211121012110
431023132100111320
5212440141434334
610300111412320
71010451400200
oct151336202570
940465747173
1014151124344
116001a39195
1228ab2240a0
131446a12776
149835b5400
1557c535ae9
hex34b790578

14151124344 has 192 divisors, whose sum is σ = 42195686400. Its totient is φ = 3941527296.

The previous prime is 14151124331. The next prime is 14151124369. The reversal of 14151124344 is 44342115141.

14151124344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27801562 + ... + 27802070.

It is an arithmetic number, because the mean of its divisors is an integer number (219769200).

Almost surely, 214151124344 is an apocalyptic number.

14151124344 is a gapful number since it is divisible by the number (14) 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 14151124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097843200).

14151124344 is an abundant number, since it is smaller than the sum of its proper divisors (28044562056).

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

14151124344 is a wasteful number, since it uses less digits than its factorization.

14151124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1071 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

Adding to 14151124344 its reverse (44342115141), we get a palindrome (58493239485).

The spelling of 14151124344 in words is "fourteen billion, one hundred fifty-one million, one hundred twenty-four thousand, three hundred forty-four".