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1004201441 = 17531114541
BaseRepresentation
bin111011110110101…
…110010111100001
32120222120201101222
4323312232113201
54024033421231
6243351304425
733612366665
oct7366562741
92528521358
101004201441
11475933451
1224037b115
1313007b649
14975228a5
155d26127b
hex3bdae5e1

1004201441 has 8 divisors (see below), whose sum is σ = 1083334824. Its totient is φ = 927297280.

The previous prime is 1004201437. The next prime is 1004201449. The reversal of 1004201441 is 1441024001.

It can be written as a sum of positive squares in 4 ways, for example, as 144480400 + 859721041 = 12020^2 + 29321^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1004201441 - 22 = 1004201437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004201449) 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 7 ways as a sum of consecutive naturals, for example, 556370 + ... + 558171.

It is an arithmetic number, because the mean of its divisors is an integer number (135416853).

Almost surely, 21004201441 is an apocalyptic number.

It is an amenable number.

1004201441 is a deficient number, since it is larger than the sum of its proper divisors (79133383).

1004201441 is a wasteful number, since it uses less digits than its factorization.

1004201441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114611.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1004201441 is about 31689.1375868767. The cubic root of 1004201441 is about 1001.3985235534.

Adding to 1004201441 its reverse (1441024001), we get a palindrome (2445225442).

The spelling of 1004201441 in words is "one billion, four million, two hundred one thousand, four hundred forty-one".

Divisors: 1 17 53 901 1114541 18947197 59070673 1004201441