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4104411444 = 22327105115497
BaseRepresentation
bin1111010010100100…
…0101100100110100
3101121001011201000200
43310221011210310
531401212131234
61515135440500
7203465631060
oct36451054464
911531151020
104104411444
111816919081
12966686130
1350544b133
142ad172aa0
151904ebd99
hexf4a45934

4104411444 has 72 divisors (see below), whose sum is σ = 11869236288. Its totient is φ = 1171497600.

The previous prime is 4104411427. The next prime is 4104411449. The reversal of 4104411444 is 4441144014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104411449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257104 + ... + 272600.

It is an arithmetic number, because the mean of its divisors is an integer number (164850504).

Almost surely, 24104411444 is an apocalyptic number.

It is an amenable number.

4104411444 is an abundant number, since it is smaller than the sum of its proper divisors (7764824844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4104411444 is a wasteful number, since it uses less digits than its factorization.

4104411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16565 (or 16560 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4104411444 is about 64065.6807034781. The cubic root of 4104411444 is about 1601.0944912390.

Adding to 4104411444 its reverse (4441144014), we get a palindrome (8545555458).

The spelling of 4104411444 in words is "four billion, one hundred four million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1051 2102 3153 4204 6306 7357 9459 12612 14714 15497 18918 22071 29428 30994 37836 44142 46491 61988 66213 88284 92982 108479 132426 139473 185964 216958 264852 278946 325437 433916 557892 650874 976311 1301748 1952622 3905244 16287347 32574694 48862041 65149388 97724082 114011429 146586123 195448164 228022858 293172246 342034287 456045716 586344492 684068574 1026102861 1368137148 2052205722 4104411444