Search a number
-
+
14250444000 = 2535313167547
BaseRepresentation
bin11010100010110010…
…01000010011100000
31100210010201120011020
431101121020103200
5213141103202000
610314020245440
71013065526652
oct152131102340
940703646136
1014250444000
116053005551
122918540880
1314614786b0
1499286a6d2
15586103ba0
hex3516484e0

14250444000 has 384 divisors, whose sum is σ = 50669079552. Its totient is φ = 3480422400.

The previous prime is 14250443989. The next prime is 14250444017. The reversal of 14250444000 is 44405241.

It is a happy number.

It is a super-3 number, since 3×142504440003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26051727 + ... + 26052273.

It is an arithmetic number, because the mean of its divisors is an integer number (131950728).

Almost surely, 214250444000 is an apocalyptic number.

14250444000 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 14250444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25334539776).

14250444000 is an abundant number, since it is smaller than the sum of its proper divisors (36418635552).

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

14250444000 is a wasteful number, since it uses less digits than its factorization.

14250444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 14250444000 its reverse (44405241), we get a palindrome (14294849241).

The spelling of 14250444000 in words is "fourteen billion, two hundred fifty million, four hundred forty-four thousand".