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4044144321 = 33759675413
BaseRepresentation
bin1111000100001100…
…1011111011000001
3101102211202211002000
43301003023323001
531240300104241
61505144014213
7202134442140
oct36103137301
911384684060
104044144321
1117958a5538
1294a461369
134c5b09709
142a5165757
1518a094eb6
hexf10cbec1

4044144321 has 64 divisors (see below), whose sum is σ = 7068518400. Its totient is φ = 2237450688.

The previous prime is 4044144283. The next prime is 4044144353. The reversal of 4044144321 is 1234414404.

4044144321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4044144321 - 211 = 4044142273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4044143321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 744411 + ... + 749823.

It is an arithmetic number, because the mean of its divisors is an integer number (110445600).

Almost surely, 24044144321 is an apocalyptic number.

It is an amenable number.

4044144321 is a deficient number, since it is larger than the sum of its proper divisors (3024374079).

4044144321 is a wasteful number, since it uses less digits than its factorization.

4044144321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4044144321 is about 63593.5871059339. The cubic root of 4044144321 is about 1593.2192625581.

Adding to 4044144321 its reverse (1234414404), we get a palindrome (5278558725).

The spelling of 4044144321 in words is "four billion, forty-four million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 59 63 67 177 189 201 413 469 531 603 1239 1407 1593 1809 3717 3953 4221 5413 11151 11859 12663 16239 27671 35577 37891 48717 83013 106731 113673 146151 249039 319367 341019 362671 747117 958101 1023057 1088013 2235569 2538697 2874303 3264039 6706707 7616091 8622909 9792117 20120121 21397589 22848273 60360363 64192767 68544819 149783123 192578301 449349369 577734903 1348048107 4044144321