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20144430042 = 2311417444357
BaseRepresentation
bin10010110000101100…
…111001101111011010
31220222220022002000120
4102300230321233122
5312223433230132
613130525014110
71312124554512
oct226054715732
956886262016
1020144430042
1185a80074a0
123aa23b4336
131b905a64b9
14d91560842
157cd79a02c
hex4b0b39bda

20144430042 has 32 divisors (see below), whose sum is σ = 45023477184. Its totient is φ = 5955484800.

The previous prime is 20144430037. The next prime is 20144430043. The reversal of 20144430042 is 24003444102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20144429994 and 20144430021.

It is not an unprimeable number, because it can be changed into a prime (20144430043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3719473 + ... + 3724884.

It is an arithmetic number, because the mean of its divisors is an integer number (1406983662).

Almost surely, 220144430042 is an apocalyptic number.

20144430042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20144430042 is an abundant number, since it is smaller than the sum of its proper divisors (24879047142).

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

20144430042 is a wasteful number, since it uses less digits than its factorization.

20144430042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444414.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20144430042 its reverse (24003444102), we get a palindrome (44147874144).

The spelling of 20144430042 in words is "twenty billion, one hundred forty-four million, four hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 2706 7444357 14888714 22333071 44666142 81887927 163775854 245663781 305218637 491327562 610437274 915655911 1831311822 3357405007 6714810014 10072215021 20144430042