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4141228032 = 21334792
BaseRepresentation
bin1111011011010110…
…0010000000000000
3101200121110011220000
43312311202000000
531440123244112
61522532520000
7204423600054
oct36665420000
911617404800
104141228032
111835684a07
12976a80000
1350cc6b9b6
142b3dd7c64
151938707dc
hexf6d62000

4141228032 has 210 divisors, whose sum is σ = 12530390103. Its totient is φ = 1362935808.

The previous prime is 4141227983. The next prime is 4141228037. The reversal of 4141228032 is 2308221414.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 2070614016 + 2070614016 = 45504^2 + 45504^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45504.

It is a super-2 number, since 2×41412280322 = 34299539226045186048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4141227987 and 4141228005.

It is not an unprimeable number, because it can be changed into a prime (4141228037) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 52420569 + ... + 52420647.

Almost surely, 24141228032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141228032

4141228032 is an abundant number, since it is smaller than the sum of its proper divisors (8389162071).

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

4141228032 is an frugal number, since it uses more digits than its factorization.

4141228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4141228032 is about 64352.3739422253. The cubic root of 4141228032 is about 1605.8675229726.

Adding to 4141228032 its reverse (2308221414), we get a palindrome (6449449446).

The spelling of 4141228032 in words is "four billion, one hundred forty-one million, two hundred twenty-eight thousand, thirty-two".