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2003414441 = 72109375101
BaseRepresentation
bin111011101101001…
…1010110110101001
312011121202222221212
41313122122312221
513100333230231
6530444042505
7100434512300
oct16732326651
95147688855
102003414441
11938969a16
1247ab33435
1325c0a1542
14150107437
15bad3942b
hex7769ada9

2003414441 has 12 divisors (see below), whose sum is σ = 2351889540. Its totient is φ = 1701453600.

The previous prime is 2003414389. The next prime is 2003414507. The reversal of 2003414441 is 1444143002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 681001216 + 1322413225 = 26096^2 + 36365^2 .

It is not a de Polignac number, because 2003414441 - 26 = 2003414377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2003414341) 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 11 ways as a sum of consecutive naturals, for example, 182210 + ... + 192891.

It is an arithmetic number, because the mean of its divisors is an integer number (195990795).

Almost surely, 22003414441 is an apocalyptic number.

It is an amenable number.

2003414441 is a deficient number, since it is larger than the sum of its proper divisors (348475099).

2003414441 is a wasteful number, since it uses less digits than its factorization.

2003414441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375224 (or 375217 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2003414441 is about 44759.5178816752. The cubic root of 2003414441 is about 1260.6376299443.

Adding to 2003414441 its reverse (1444143002), we get a palindrome (3447557443).

The spelling of 2003414441 in words is "two billion, three million, four hundred fourteen thousand, four hundred forty-one".

Divisors: 1 7 49 109 763 5341 375101 2625707 18379949 40886009 286202063 2003414441