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4122144432 = 243474310567
BaseRepresentation
bin1111010110110010…
…1110111010110000
3101122021112122010000
43311230232322300
531420232110212
61521011510000
7204102435540
oct36554567260
911567478100
104122144432
11182593013a
129705b8300
13509019723
142b166b320
15191d511dc
hexf5b2eeb0

4122144432 has 200 divisors, whose sum is σ = 13953479936. Its totient is φ = 1150257024.

The previous prime is 4122144421. The next prime is 4122144437. The reversal of 4122144432 is 2344412214.

4122144432 is a `hidden beast` number, since 4 + 1 + 2 + 214 + 443 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 4122144396 and 4122144405.

It is not an unprimeable number, because it can be changed into a prime (4122144437) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 384813 + ... + 395379.

Almost surely, 24122144432 is an apocalyptic number.

4122144432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122144432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976739968).

4122144432 is an abundant number, since it is smaller than the sum of its proper divisors (9831335504).

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

4122144432 is a wasteful number, since it uses less digits than its factorization.

4122144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10622 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4122144432 is about 64203.9284779366. The cubic root of 4122144432 is about 1603.3970055333.

Adding to 4122144432 its reverse (2344412214), we get a palindrome (6466556646).

The spelling of 4122144432 in words is "four billion, one hundred twenty-two million, one hundred forty-four thousand, four hundred thirty-two".