Search a number
-
+
424412412112 = 24132156957253
BaseRepresentation
bin1100010110100001111…
…00110111100011010000
31111120111000211101202101
412023100330313203100
523423144034141422
6522550010530144
742443222660113
oct6132074674320
91446430741671
10424412412112
11153aa08189a7
126a306a36954
1331039203700
14167824b457a
15b08ec00c27
hex62d0f378d0

424412412112 has 30 divisors (see below), whose sum is σ = 890418501942. Its totient is φ = 195882650496.

The previous prime is 424412412103. The next prime is 424412412131. The reversal of 424412412112 is 211214214424.

It can be written as a sum of positive squares in 3 ways, for example, as 30500526736 + 393911885376 = 174644^2 + 627624^2 .

It is a super-2 number, since 2×4244124121122 (a number of 24 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78475923 + ... + 78481330.

Almost surely, 2424412412112 is an apocalyptic number.

It is an amenable number.

424412412112 is an abundant number, since it is smaller than the sum of its proper divisors (466006089830).

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

424412412112 is a wasteful number, since it uses less digits than its factorization.

424412412112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156957287 (or 156957268 counting only the distinct ones).

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

Adding to 424412412112 its reverse (211214214424), we get a palindrome (635626626536).

The spelling of 424412412112 in words is "four hundred twenty-four billion, four hundred twelve million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 156957253 313914506 627829012 1255658024 2040444289 2511316048 4080888578 8161777156 16323554312 26525775757 32647108624 53051551514 106103103028 212206206056 424412412112