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4244338334424 = 233462138270381
BaseRepresentation
bin111101110000110110010…
…001110101101011011000
3120000202101020101010221210
4331300312101311223120
51024014401103200144
613005453324303120
7615433442404206
oct75606621655330
916022336333853
104244338334424
111397017381761
125866b83a1aa0
1324a315c1c046
141095d9c54076
1575611c1dab9
hex3dc36475ad8

4244338334424 has 32 divisors (see below), whose sum is σ = 10613142336240. Its totient is φ = 1414473244800.

The previous prime is 4244338334417. The next prime is 4244338334447.

4244338334424 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42443383344243 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 19024287 + ... + 19246094.

Almost surely, 24244338334424 is an apocalyptic number.

It is an amenable number.

4244338334424 is an abundant number, since it is smaller than the sum of its proper divisors (6368804001816).

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

4244338334424 is a wasteful number, since it uses less digits than its factorization.

4244338334424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38275011 (or 38275007 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 48.

The spelling of 4244338334424 in words is "four trillion, two hundred forty-four billion, three hundred thirty-eight million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 4621 9242 13863 18484 27726 36968 55452 110904 38270381 76540762 114811143 153081524 229622286 306163048 459244572 918489144 176847430601 353694861202 530542291803 707389722404 1061084583606 1414779444808 2122169167212 4244338334424