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444104331 = 31153253919
BaseRepresentation
bin11010011110000…
…111111010001011
31010221122211121120
4122132013322023
51402142314311
6112022410323
714001552546
oct3236077213
91127584546
10444104331
1120875a180
121048909a3
1371014338
1442da585d
1528ec6706
hex1a787e8b

444104331 has 16 divisors (see below), whose sum is σ = 658160640. Its totient is φ = 264074720.

The previous prime is 444104327. The next prime is 444104359. The reversal of 444104331 is 133401444.

It is a cyclic number.

It is not a de Polignac number, because 444104331 - 22 = 444104327 is a prime.

It is a super-2 number, since 2×4441043312 = 394457313625915122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444106331) 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, 125211 + ... + 128708.

It is an arithmetic number, because the mean of its divisors is an integer number (41135040).

Almost surely, 2444104331 is an apocalyptic number.

444104331 is a deficient number, since it is larger than the sum of its proper divisors (214056309).

444104331 is a wasteful number, since it uses less digits than its factorization.

444104331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253986.

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

The square root of 444104331 is about 21073.7830253612. The cubic root of 444104331 is about 762.9481123393.

Adding to 444104331 its reverse (133401444), we get a palindrome (577505775).

The spelling of 444104331 in words is "four hundred forty-four million, one hundred four thousand, three hundred thirty-one".

Divisors: 1 3 11 33 53 159 583 1749 253919 761757 2793109 8379327 13457707 40373121 148034777 444104331