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2004132441 = 313920532341
BaseRepresentation
bin111011101110100…
…1010001001011001
312011200010110212110
41313131022021121
513101024214231
6530511302533
7100443562503
oct16735121131
95150113773
102004132441
1193930a403
1247b21aa49
1325c2932ac
14150252d73
15bae2c046
hex7774a259

2004132441 has 16 divisors (see below), whose sum is σ = 2693862080. Its totient is φ = 1325263680.

The previous prime is 2004132421. The next prime is 2004132457. The reversal of 2004132441 is 1442314002.

It is not a de Polignac number, because 2004132441 - 25 = 2004132409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004132401) 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 15 ways as a sum of consecutive naturals, for example, 854931 + ... + 857271.

It is an arithmetic number, because the mean of its divisors is an integer number (168366380).

Almost surely, 22004132441 is an apocalyptic number.

It is an amenable number.

2004132441 is a deficient number, since it is larger than the sum of its proper divisors (689729639).

2004132441 is a wasteful number, since it uses less digits than its factorization.

2004132441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2004132441 is about 44767.5378036362. The cubic root of 2004132441 is about 1260.7882111539.

Adding to 2004132441 its reverse (1442314002), we get a palindrome (3446446443).

The spelling of 2004132441 in words is "two billion, four million, one hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 139 417 2053 2341 6159 7023 285367 325399 856101 976197 4806073 14418219 668044147 2004132441