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14050441440 = 253457154877
BaseRepresentation
bin11010001010111100…
…01011100011100000
31100021012101101020000
431011132023203200
5212233403111230
610242113420000
71005116532060
oct150536134340
940235341200
1014050441440
115a60120682
12288156a600
13142bbc0199
149740873a0
15573798b60
hex34578b8e0

14050441440 has 240 divisors, whose sum is σ = 56670479712. Its totient is φ = 3211508736.

The previous prime is 14050441429. The next prime is 14050441453. The reversal of 14050441440 is 4414405041.

14050441440 is a `hidden beast` number, since 14 + 0 + 504 + 4 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13282 + ... + 168158.

Almost surely, 214050441440 is an apocalyptic number.

14050441440 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 14050441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335239856).

14050441440 is an abundant number, since it is smaller than the sum of its proper divisors (42620038272).

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

14050441440 is a wasteful number, since it uses less digits than its factorization.

14050441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154911 (or 154894 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 14050441440 its reverse (4414405041), we get a palindrome (18464846481).

The spelling of 14050441440 in words is "fourteen billion, fifty million, four hundred forty-one thousand, four hundred forty".