Search a number
-
+
1042144112224 = 25239705719309
BaseRepresentation
bin11110010101001001010…
…00010010111001100000
310200121221211000011000101
433022210220102321200
5114033302343042344
62114430541032144
7135202205536615
oct17124450227140
93617854004011
101042144112224
11371a75201206
12149b83b55654
1377373612457
14386236a450c
151c1965ca9d4
hexf2a4a12e60

1042144112224 has 48 divisors (see below), whose sum is σ = 2060704497600. Its totient is φ = 518791440384.

The previous prime is 1042144112213. The next prime is 1042144112231. The reversal of 1042144112224 is 4222114412401.

It is a junction number, because it is equal to n+sod(n) for n = 1042144112192 and 1042144112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53962282 + ... + 53981590.

It is an arithmetic number, because the mean of its divisors is an integer number (42931343700).

Almost surely, 21042144112224 is an apocalyptic number.

It is an amenable number.

1042144112224 is a deficient number, since it is larger than the sum of its proper divisors (1018560385376).

1042144112224 is a wasteful number, since it uses less digits than its factorization.

1042144112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26615 (or 26607 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1042144112224 its reverse (4222114412401), we get a palindrome (5264258524625).

The spelling of 1042144112224 in words is "one trillion, forty-two billion, one hundred forty-four million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 239 478 956 1912 3824 7057 7648 14114 19309 28228 38618 56456 77236 112912 154472 225824 308944 617888 1686623 3373246 4614851 6746492 9229702 13492984 18459404 26985968 36918808 53971936 73837616 136263613 147675232 272527226 545054452 1090108904 2180217808 4360435616 32567003507 65134007014 130268014028 260536028056 521072056112 1042144112224