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14320016700 = 223521141109971
BaseRepresentation
bin11010101011000101…
…00001110100111100
31100221222122012221220
431111202201310330
5213311411013300
610324543353340
71014602063553
oct152542416474
940858565856
1014320016700
116089304550
1229378b2850
1314729c7882
1499bbbad9a
1558c297da0
hex3558a1d3c

14320016700 has 288 divisors, whose sum is σ = 46774506240. Its totient is φ = 3352320000.

The previous prime is 14320016671. The next prime is 14320016707. The reversal of 14320016700 is 761002341.

14320016700 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 not an unprimeable number, because it can be changed into a prime (14320016707) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14747215 + ... + 14748185.

It is an arithmetic number, because the mean of its divisors is an integer number (162411480).

Almost surely, 214320016700 is an apocalyptic number.

14320016700 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 14320016700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23387253120).

14320016700 is an abundant number, since it is smaller than the sum of its proper divisors (32454489540).

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

14320016700 is a wasteful number, since it uses less digits than its factorization.

14320016700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 14320016700 in words is "fourteen billion, three hundred twenty million, sixteen thousand, seven hundred".