Search a number
-
+
14143573200 = 2435241389739
BaseRepresentation
bin11010010110000010…
…11100110011010000
31100111200121221222110
431023001130303100
5212431223320300
610255241505320
71010330250201
oct151301346320
940450557873
1014143573200
115aa8750979
1228a87a2240
13144529a733
149825ab5a8
1557ba43550
hex34b05ccd0

14143573200 has 240 divisors, whose sum is σ = 46593892800. Its totient is φ = 3665203200.

The previous prime is 14143573177. The next prime is 14143573211. The reversal of 14143573200 is 237534141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19138431 + ... + 19139169.

It is an arithmetic number, because the mean of its divisors is an integer number (194141220).

Almost surely, 214143573200 is an apocalyptic number.

14143573200 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 14143573200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296946400).

14143573200 is an abundant number, since it is smaller than the sum of its proper divisors (32450319600).

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

14143573200 is a wasteful number, since it uses less digits than its factorization.

14143573200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 14143573200 in words is "fourteen billion, one hundred forty-three million, five hundred seventy-three thousand, two hundred".