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1024123134042 = 2354080151647
BaseRepresentation
bin11101110011100100111…
…11101110000001011010
310121220102220100121100000
432321302133232001122
5113234401010242132
62102250424553430
7133663504002621
oct16716237560132
93556386317300
101024123134042
113653678a0608
12146594922876
1375760c48458
14377d41766b8
151b98e47b87c
hexee727ee05a

1024123134042 has 48 divisors (see below), whose sum is σ = 2301217132032. Its totient is φ = 341359401600.

The previous prime is 1024123134029. The next prime is 1024123134043. The reversal of 1024123134042 is 2404313214201.

1024123134042 is a `hidden beast` number, since 1 + 0 + 24 + 1 + 231 + 3 + 404 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1024123133997 and 1024123134015.

It is not an unprimeable number, because it can be changed into a prime (1024123134043) 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 23 ways as a sum of consecutive naturals, for example, 19803463 + ... + 19855109.

It is an arithmetic number, because the mean of its divisors is an integer number (47942023584).

Almost surely, 21024123134042 is an apocalyptic number.

1024123134042 is an abundant number, since it is smaller than the sum of its proper divisors (1277093997990).

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

1024123134042 is an equidigital number, since it uses as much as digits as its factorization.

1024123134042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92465 (or 92453 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1024123134042 its reverse (2404313214201), we get a palindrome (3428436348243).

The spelling of 1024123134042 in words is "one trillion, twenty-four billion, one hundred twenty-three million, one hundred thirty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 40801 51647 81602 103294 122403 154941 244806 309882 367209 464823 734418 929646 1101627 1394469 2203254 2788938 3304881 4183407 6609762 8366814 9914643 12550221 19829286 25100442 2107249247 4214498494 6321747741 12643495482 18965243223 37930486446 56895729669 113791459338 170687189007 341374378014 512061567021 1024123134042