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14052111840 = 25325131734339
BaseRepresentation
bin11010001011001001…
…00011010111100000
31100021022112020120200
431011210203113200
5212234320034330
610242213305200
71005136660044
oct150544432740
940238466520
1014052111840
115a61061678
122882035200
13142c3565a0
149743a0024
155739c8a60
hex3459235e0

14052111840 has 288 divisors, whose sum is σ = 51951987360. Its totient is φ = 3438194688.

The previous prime is 14052111839. The next prime is 14052111847. The reversal of 14052111840 is 4811125041.

It is a happy number.

14052111840 is a `hidden beast` number, since 1 + 405 + 211 + 1 + 8 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14052111847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3236391 + ... + 3240729.

It is an arithmetic number, because the mean of its divisors is an integer number (180388845).

Almost surely, 214052111840 is an apocalyptic number.

14052111840 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 14052111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25975993680).

14052111840 is an abundant number, since it is smaller than the sum of its proper divisors (37899875520).

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

14052111840 is a wasteful number, since it uses less digits than its factorization.

14052111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

Adding to 14052111840 its reverse (4811125041), we get a palindrome (18863236881).

It can be divided in two parts, 14052111 and 840, that added together give a triangular number (14052951 = T5301).

The spelling of 14052111840 in words is "fourteen billion, fifty-two million, one hundred eleven thousand, eight hundred forty".