Search a number
-
+
14002452000 = 2532533112547
BaseRepresentation
bin11010000101001110…
…00111011000100000
31100010212002021002100
431002213013120200
5212134111431000
610233241050400
71003664610135
oct150247073040
940125067070
1014002452000
115a36023489
122869486a00
131421c89c74
1496b95458c
1556e469a00
hex3429c7620

14002452000 has 288 divisors, whose sum is σ = 51301845504. Its totient is φ = 3613248000.

The previous prime is 14002451977. The next prime is 14002452019. The reversal of 14002452000 is 25420041.

14002452000 is a `hidden beast` number, since 1 + 400 + 245 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1109727 + ... + 1122273.

It is an arithmetic number, because the mean of its divisors is an integer number (178131408).

Almost surely, 214002452000 is an apocalyptic number.

14002452000 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 14002452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25650922752).

14002452000 is an abundant number, since it is smaller than the sum of its proper divisors (37299393504).

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

14002452000 is a wasteful number, since it uses less digits than its factorization.

14002452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12609 (or 12588 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 14002452000 its reverse (25420041), we get a palindrome (14027872041).

The spelling of 14002452000 in words is "fourteen billion, two million, four hundred fifty-two thousand".