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1134441104 = 24137673769
BaseRepresentation
bin100001110011110…
…0011001010010000
32221001122120122012
41003213203022100
54310404103404
6304323002052
740053406316
oct10347431220
92831576565
101134441104
115323a9435
12277b09328
1315104c234
14aa9460b6
15698daa6e
hex439e3290

1134441104 has 40 divisors (see below), whose sum is σ = 2220196440. Its totient is φ = 561512448.

The previous prime is 1134441103. The next prime is 1134441109. The reversal of 1134441104 is 4011444311.

It can be written as a sum of positive squares in 4 ways, for example, as 95023504 + 1039417600 = 9748^2 + 32240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1134441104.

It is not an unprimeable number, because it can be changed into a prime (1134441101) 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 7 ways as a sum of consecutive naturals, for example, 1474832 + ... + 1475600.

It is an arithmetic number, because the mean of its divisors is an integer number (55504911).

Almost surely, 21134441104 is an apocalyptic number.

It is an amenable number.

1134441104 is a deficient number, since it is larger than the sum of its proper divisors (1085755336).

1134441104 is a wasteful number, since it uses less digits than its factorization.

1134441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1134441104 is about 33681.4652887905. The cubic root of 1134441104 is about 1042.9431866311.

Adding to 1134441104 its reverse (4011444311), we get a palindrome (5145885415).

The spelling of 1134441104 in words is "one billion, one hundred thirty-four million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 137 274 548 673 769 1096 1346 1538 2192 2692 3076 5384 6152 10768 12304 92201 105353 184402 210706 368804 421412 517537 737608 842824 1035074 1475216 1685648 2070148 4140296 8280592 70902569 141805138 283610276 567220552 1134441104