Search a number
-
+
14125530000 = 243542931607
BaseRepresentation
bin11010010011111001…
…00111101110010000
31100110102200021100210
431021330213232100
5212412113430000
610253355044120
71010021011131
oct151174475620
940412607323
1014125530000
115a9954783a
1228a2740640
131441620b9a
14980031c88
1557a17c350
hex349f27b90

14125530000 has 200 divisors, whose sum is σ = 45783194688. Its totient is φ = 3751616000.

The previous prime is 14125529969. The next prime is 14125530007. The reversal of 14125530000 is 3552141.

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (14125530007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8789197 + ... + 8790803.

Almost surely, 214125530000 is an apocalyptic number.

14125530000 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 14125530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22891597344).

14125530000 is an abundant number, since it is smaller than the sum of its proper divisors (31657664688).

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

14125530000 is a wasteful number, since it uses less digits than its factorization.

14125530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 14125530000 in words is "fourteen billion, one hundred twenty-five million, five hundred thirty thousand".