Search a number
-
+
424340043424 = 25111923339367
BaseRepresentation
bin1100010110011001010…
…00110011011010100000
31111120021222122200120121
412023030220303122200
523423022022342144
6522534503450024
742441353566513
oct6131450633240
91446258580517
10424340043424
11153a6398a270
126a2a6756914
13310272159bb
1416776a36d7a
15b0886a8384
hex62cca336a0

424340043424 has 72 divisors (see below), whose sum is σ = 961858201248. Its totient is φ = 182730107520.

The previous prime is 424340043419. The next prime is 424340043427.

424340043424 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 424340043424.

It is not an unprimeable number, because it can be changed into a prime (424340043427) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1542612 + ... + 1796755.

It is an arithmetic number, because the mean of its divisors is an integer number (13359141684).

Almost surely, 2424340043424 is an apocalyptic number.

424340043424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424340043424 is an abundant number, since it is smaller than the sum of its proper divisors (537518157824).

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

424340043424 is a wasteful number, since it uses less digits than its factorization.

424340043424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339426 (or 3339399 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4243400 and 43424, that added together give a palindrome (4286824).

The spelling of 424340043424 in words is "four hundred twenty-four billion, three hundred forty million, forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 361 418 608 722 836 1444 1672 2888 3344 3971 5776 6688 7942 11552 15884 31768 63536 127072 3339367 6678734 13357468 26714936 36733037 53429872 63447973 73466074 106859744 126895946 146932148 253791892 293864296 507583784 587728592 697927703 1015167568 1175457184 1205511487 1395855406 2030335136 2411022974 2791710812 4822045948 5583421624 9644091896 11166843248 13260626357 19288183792 22333686496 26521252714 38576367584 53042505428 106085010856 212170021712 424340043424