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14818403040 = 2535761197367
BaseRepresentation
bin11011100110011111…
…01110001011100000
31102020201102212111020
431303033232023200
5220322002344130
610450225445440
71033133230140
oct156317561340
942221385436
1014818403040
116314669591
122a567a0880
13152203632c
14a08072920
155bade2e10
hex3733ee2e0

14818403040 has 384 divisors, whose sum is σ = 54644502528. Its totient is φ = 3305594880.

The previous prime is 14818403027. The next prime is 14818403051. The reversal of 14818403040 is 4030481841.

It is a junction number, because it is equal to n+sod(n) for n = 14818402992 and 14818403010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40376937 + ... + 40377303.

It is an arithmetic number, because the mean of its divisors is an integer number (142303392).

Almost surely, 214818403040 is an apocalyptic number.

14818403040 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 14818403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27322251264).

14818403040 is an abundant number, since it is smaller than the sum of its proper divisors (39826099488).

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

14818403040 is a wasteful number, since it uses less digits than its factorization.

14818403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

Adding to 14818403040 its reverse (4030481841), we get a palindrome (18848884881).

The spelling of 14818403040 in words is "fourteen billion, eight hundred eighteen million, four hundred three thousand, forty".