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13440143808 = 2633713127673
BaseRepresentation
bin11001000010001100…
…00101000111000000
31021200200000001021000
430201012011013000
5210011134100213
610101352532000
7654026223510
oct144106050700
937620001230
1013440143808
115777679a73
1227310b1000
13136262a420
14916dbd840
15539de4c73
hex3211851c0

13440143808 has 448 divisors, whose sum is σ = 49085317120. Its totient is φ = 3511517184.

The previous prime is 13440143803. The next prime is 13440143819. The reversal of 13440143808 is 80834104431.

13440143808 is a `hidden beast` number, since 134 + 401 + 43 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440143803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19970160 + ... + 19970832.

It is an arithmetic number, because the mean of its divisors is an integer number (109565440).

Almost surely, 213440143808 is an apocalyptic number.

13440143808 is a gapful number since it is divisible by the number (18) 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 13440143808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24542658560).

13440143808 is an abundant number, since it is smaller than the sum of its proper divisors (35645173312).

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

13440143808 is a wasteful number, since it uses less digits than its factorization.

13440143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13440143808 in words is "thirteen billion, four hundred forty million, one hundred forty-three thousand, eight hundred eight".