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24143111134142 = 27211134379507149
BaseRepresentation
bin1010111110101010000011…
…00100000001101110111110
310011111001120221000002001112
411133111001210001232332
511131030042422243032
6123203105300242022
75041165541424200
oct537250144015676
9104431527002045
1024143111134142
117769043909990
12285b11b0a0312
1310618bb397320
145d6766080770
152bd03ec5a1b2
hex15f541901bbe

24143111134142 has 192 divisors, whose sum is σ = 51284306304000. Its totient is φ = 8373540913920.

The previous prime is 24143111134141. The next prime is 24143111134183.

24143111134142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24143111134099 and 24143111134108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24143111134141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47351984 + ... + 47859132.

It is an arithmetic number, because the mean of its divisors is an integer number (267105762000).

Almost surely, 224143111134142 is an apocalyptic number.

24143111134142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24143111134142 is an abundant number, since it is smaller than the sum of its proper divisors (27141195169858).

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

24143111134142 is a wasteful number, since it uses less digits than its factorization.

24143111134142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507311 (or 507304 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 2414311 and 1134142, that added together give a palindrome (3548453).

The spelling of 24143111134142 in words is "twenty-four trillion, one hundred forty-three billion, one hundred eleven million, one hundred thirty-four thousand, one hundred forty-two".