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4141324032 = 28317317197
BaseRepresentation
bin1111011011010111…
…1001011100000000
3101200121122001120120
43312311321130000
531440134332112
61522534540240
7204424446666
oct36665713400
911617561516
104141324032
11183574004a
12976b07680
1350cca35c1
142b4020c36
1519388de8c
hexf6d79700

4141324032 has 72 divisors (see below), whose sum is σ = 11670348816. Its totient is φ = 1299234816.

The previous prime is 4141324027. The next prime is 4141324039. The reversal of 4141324032 is 2304231414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4141323993 and 4141324011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141324039) 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 7 ways as a sum of consecutive naturals, for example, 145543 + ... + 171654.

It is an arithmetic number, because the mean of its divisors is an integer number (162088178).

Almost surely, 24141324032 is an apocalyptic number.

It is an amenable number.

4141324032 is an abundant number, since it is smaller than the sum of its proper divisors (7529024784).

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

4141324032 is a wasteful number, since it uses less digits than its factorization.

4141324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317233 (or 317219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4141324032 is about 64353.1198311317. The cubic root of 4141324032 is about 1605.8799316986.

Adding to 4141324032 its reverse (2304231414), we get a palindrome (6445555446).

The spelling of 4141324032 in words is "four billion, one hundred forty-one million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 4352 6528 13056 317197 634394 951591 1268788 1903182 2537576 3806364 5075152 5392349 7612728 10150304 10784698 15225456 16177047 20300608 21569396 30450912 32354094 40601216 43138792 60901824 64708188 81202432 86277584 121803648 129416376 172555168 243607296 258832752 345110336 517665504 690220672 1035331008 1380441344 2070662016 4141324032