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11540144440 = 2351126227601
BaseRepresentation
bin10101011111101100…
…01010000100111000
31002210020211002010001
422233312022010320
5142113234110230
65145041202344
7555655415656
oct125766120470
932706732101
1011540144440
114992124360
1222a09303b4
13111bac6c46
147b6915dd6
154781d70ca
hex2afd8a138

11540144440 has 32 divisors (see below), whose sum is σ = 28325810160. Its totient is φ = 4196416000.

The previous prime is 11540144431. The next prime is 11540144443. The reversal of 11540144440 is 4444104511.

11540144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11540144399 and 11540144408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540144443) by changing a digit.

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, 13113361 + ... + 13114240.

Almost surely, 211540144440 is an apocalyptic number.

11540144440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540144440 is an abundant number, since it is smaller than the sum of its proper divisors (16785665720).

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

11540144440 is a wasteful number, since it uses less digits than its factorization.

11540144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26227623 (or 26227619 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 11540144440 its reverse (4444104511), we get a palindrome (15984248951).

The spelling of 11540144440 in words is "eleven billion, five hundred forty million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 26227601 52455202 104910404 131138005 209820808 262276010 288503611 524552020 577007222 1049104040 1154014444 1442518055 2308028888 2885036110 5770072220 11540144440