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424342243424 = 25114432721259
BaseRepresentation
bin1100010110011001100…
…01001100100001100000
31111120022010210110102002
412023030301030201200
523423023103242144
6522535022543132
742441411361511
oct6131461144140
91446263713362
10424342243424
11153a65152150
126a2a7437aa8
1331027806188
141677704aa08
15b08899014e
hex62ccc4c860

424342243424 has 48 divisors (see below), whose sum is σ = 913429016640. Its totient is φ = 192447365760.

The previous prime is 424342243399. The next prime is 424342243427.

It is a happy number.

424342243424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4243422434242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424342243427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204694 + ... + 1516565.

It is an arithmetic number, because the mean of its divisors is an integer number (19029771180).

Almost surely, 2424342243424 is an apocalyptic number.

424342243424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

424342243424 is an abundant number, since it is smaller than the sum of its proper divisors (489086773216).

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

424342243424 is a wasteful number, since it uses less digits than its factorization.

424342243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721723 (or 2721715 counting only the distinct ones).

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 424342 and 243424, that added together give a palindrome (667766).

The spelling of 424342243424 in words is "four hundred twenty-four billion, three hundred forty-two million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 443 886 1772 3544 4873 7088 9746 14176 19492 38984 77968 155936 2721259 5442518 10885036 21770072 29933849 43540144 59867698 87080288 119735396 239470792 478941584 957883168 1205517737 2411035474 4822070948 9644141896 13260695107 19288283792 26521390214 38576567584 53042780428 106085560856 212171121712 424342243424