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1104166441 = 724721012
BaseRepresentation
bin100000111010000…
…0011111000101001
32211221200110121101
41001310003320221
54230131311231
6301322041401
736235155100
oct10164037051
92757613541
101104166441
11517300654
12269949261
131479ac231
14a6905037
1566e0a661
hex41d03e29

1104166441 has 27 divisors (see below), whose sum is σ = 1325470647. Its totient is φ = 917120400.

The previous prime is 1104166421. The next prime is 1104166447. The reversal of 1104166441 is 1446614011.

The square root of 1104166441 is 33229.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1060870041 + 43296400 = 32571^2 + 6580^2 .

It is not a de Polignac number, because 1104166441 - 219 = 1103642153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1104166447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10932291 + ... + 10932391.

Almost surely, 21104166441 is an apocalyptic number.

1104166441 is the 33229-th square number.

1104166441 is the 16615-th centered octagonal number.

It is an amenable number.

1104166441 is a deficient number, since it is larger than the sum of its proper divisors (221304206).

1104166441 is an frugal number, since it uses more digits than its factorization.

1104166441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The cubic root of 1104166441 is about 1033.5817867945.

Multiplying 1104166441 by its product of nonzero digits (2304), we get a square (2543999480064 = 15949922).

The spelling of 1104166441 in words is "one billion, one hundred four million, one hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 7 47 49 101 329 707 2209 2303 4747 4949 10201 15463 33229 71407 108241 223109 232603 479447 499849 1561763 3356129 10932341 22534009 23492903 157738063 1104166441