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24134010131241 = 341915681618019
BaseRepresentation
bin1010111110011001000110…
…00110011101001100101001
310011110012002122212020010000
411133030203012131030221
511130402423043144431
6123155002230213213
75040424161243063
oct537144306351451
9104405078766100
1024134010131241
1177651a360178a
1228593bb1b4209
131060a9aa11bca
145d6141496733
152bcbaac7b9e6
hex15f32319d329

24134010131241 has 20 divisors (see below), whose sum is σ = 37949515608400. Its totient is φ = 15242532713496.

The previous prime is 24134010131233. The next prime is 24134010131249. The reversal of 24134010131241 is 14213101043142.

It is a happy number.

24134010131241 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 401 + 0 + 13 + 1 + 241 = 666.

It is an interprime number because it is at equal distance from previous prime (24134010131233) and next prime (24134010131249).

It is not a de Polignac number, because 24134010131241 - 23 = 24134010131233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (24134010131249) 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 19 ways as a sum of consecutive naturals, for example, 7840807471 + ... + 7840810548.

It is an arithmetic number, because the mean of its divisors is an integer number (1897475780420).

Almost surely, 224134010131241 is an apocalyptic number.

It is an amenable number.

24134010131241 is a deficient number, since it is larger than the sum of its proper divisors (13815505477159).

24134010131241 is a wasteful number, since it uses less digits than its factorization.

24134010131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15681618050 (or 15681618041 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 24134010131241 its reverse (14213101043142), we get a palindrome (38347111174383).

The spelling of 24134010131241 in words is "twenty-four trillion, one hundred thirty-four billion, ten million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 15681618019 47044854057 141134562171 297950742361 423403686513 893852227083 1270211059539 2681556681249 8044670043747 24134010131241