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1042433344144 = 241374703101119
BaseRepresentation
bin11110010101101011101…
…11101000001010010000
310200122200222020122121201
433022311313220022100
5114034400414003034
62114515352200544
7135212320140433
oct17126567501220
93618628218551
101042433344144
113721034a0455
1214a044999154
13773bb50cbba
143864dc7381a
151c1b1bae014
hexf2b5de8290

1042433344144 has 40 divisors (see below), whose sum is σ = 2034909757440. Its totient is φ = 517297037568.

The previous prime is 1042433344129. The next prime is 1042433344151. The reversal of 1042433344144 is 4414433342401.

It is a happy number.

1042433344144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10258417 + ... + 10359535.

It is an arithmetic number, because the mean of its divisors is an integer number (50872743936).

Almost surely, 21042433344144 is an apocalyptic number.

It is an amenable number.

1042433344144 is a deficient number, since it is larger than the sum of its proper divisors (992476413296).

1042433344144 is a wasteful number, since it uses less digits than its factorization.

1042433344144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105967 (or 105961 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 1042433344144 its reverse (4414433342401), we get a palindrome (5456866686545).

The spelling of 1042433344144 in words is "one trillion, forty-two billion, four hundred thirty-three million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 137 274 548 1096 2192 4703 9406 18812 37624 75248 101119 202238 404476 644311 808952 1288622 1617904 2577244 5154488 10308976 13853303 27706606 55413212 110826424 221652848 475562657 951125314 1902250628 3804501256 7609002512 65152084009 130304168018 260608336036 521216672072 1042433344144