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13144111440 = 243554767131
BaseRepresentation
bin11000011110111001…
…10011100101010000
31020221000222001012020
430033130303211100
5203404343031230
610012135531440
7643503050415
oct141734634520
936830861166
1013144111440
115635565519
122669b29b80
1313161bb545
148c996010c
1551de1b810
hex30f733950

13144111440 has 40 divisors (see below), whose sum is σ = 40746746208. Its totient is φ = 3505096320.

The previous prime is 13144111429. The next prime is 13144111469. The reversal of 13144111440 is 4411144131.

13144111440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13144111440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27383326 + ... + 27383805.

Almost surely, 213144111440 is an apocalyptic number.

13144111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144111440 is an abundant number, since it is smaller than the sum of its proper divisors (27602634768).

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

13144111440 is a wasteful number, since it uses less digits than its factorization.

13144111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54767147 (or 54767141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 13144111440 its reverse (4411144131), we get a palindrome (17555255571).

The spelling of 13144111440 in words is "thirteen billion, one hundred forty-four million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 54767131 109534262 164301393 219068524 273835655 328602786 438137048 547671310 657205572 821506965 876274096 1095342620 1314411144 1643013930 2190685240 2628822288 3286027860 4381370480 6572055720 13144111440