Search a number
-
+
252423430000 = 2454716322123
BaseRepresentation
bin1110101100010110011…
…0111101111101110000
3220010112211012212002221
43223011212331331300
513113430344230000
6311543422050424
724144200516230
oct3530546757560
9803484185087
10252423430000
119806349a065
1240b08119a14
131aa5a18c241
14c30860dcc0
15687596c61a
hex3ac59bdf70

252423430000 has 200 divisors, whose sum is σ = 702765143168. Its totient is φ = 86010336000.

The previous prime is 252423429971. The next prime is 252423430013. The reversal of 252423430000 is 34324252.

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 (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11398939 + ... + 11421061.

Almost surely, 2252423430000 is an apocalyptic number.

252423430000 is a gapful number since it is divisible by the number (20) 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 252423430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351382571584).

252423430000 is an abundant number, since it is smaller than the sum of its proper divisors (450341713168).

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

252423430000 is a wasteful number, since it uses less digits than its factorization.

252423430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22321 (or 22300 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 252423430000 its reverse (34324252), we get a palindrome (252457754252).

The spelling of 252423430000 in words is "two hundred fifty-two billion, four hundred twenty-three million, four hundred thirty thousand".