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1042434303444 = 223228956508429
BaseRepresentation
bin11110010101101011110…
…11010010010111010100
310200122201001001101112100
433022311323102113110
5114034401140202234
62114515424522100
7135212331244302
oct17126573222724
93618631041470
101042434303444
11372103a96166
1214a045180330
13773bb787731
1438650043272
151c1b1ced399
hexf2b5ed25d4

1042434303444 has 18 divisors (see below), whose sum is σ = 2635042267130. Its totient is φ = 347478101136.

The previous prime is 1042434303431. The next prime is 1042434303451. The reversal of 1042434303444 is 4443034342401.

1042434303444 is a `hidden beast` number, since 104 + 243 + 4 + 303 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 595459155600 + 446975147844 = 771660^2 + 668562^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×10424343034443 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 28956508429 = 1042434303444 / (1 + 0 + 4 + 2 + 4 + 3 + 4 + 3 + 0 + 3 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 1042434303399 and 1042434303408.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14478254179 + ... + 14478254250.

Almost surely, 21042434303444 is an apocalyptic number.

It is an amenable number.

1042434303444 is an abundant number, since it is smaller than the sum of its proper divisors (1592607963686).

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

1042434303444 is a wasteful number, since it uses less digits than its factorization.

1042434303444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28956508439 (or 28956508434 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 1042434303444 its reverse (4443034342401), we get a palindrome (5485468645845).

The spelling of 1042434303444 in words is "one trillion, forty-two billion, four hundred thirty-four million, three hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 28956508429 57913016858 86869525287 115826033716 173739050574 260608575861 347478101148 521217151722 1042434303444