Search a number
-
+
14052652200 = 23335217473257
BaseRepresentation
bin11010001011001101…
…00111010010101000
31100021100112200211000
431011212213102220
5212234434332300
610242233035000
71005144400326
oct150546472250
940240480730
1014052652200
115a613a0654
122882255a60
13142c4b5522
149744a0d16
15573a83c00
hex3459a74a8

14052652200 has 384 divisors, whose sum is σ = 52357363200. Its totient is φ = 3450839040.

The previous prime is 14052652199. The next prime is 14052652213. The reversal of 14052652200 is 225625041.

14052652200 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 2 + 652 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4312972 + ... + 4316228.

It is an arithmetic number, because the mean of its divisors is an integer number (136347300).

Almost surely, 214052652200 is an apocalyptic number.

14052652200 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 14052652200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26178681600).

14052652200 is an abundant number, since it is smaller than the sum of its proper divisors (38304711000).

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

14052652200 is a wasteful number, since it uses less digits than its factorization.

14052652200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3346 (or 3331 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 14052652200 in words is "fourteen billion, fifty-two million, six hundred fifty-two thousand, two hundred".