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1100424144 = 243172233449
BaseRepresentation
bin100000110010111…
…0010001111010000
32211200122100010210
41001211302033100
54223202033034
6301105524120
736161310441
oct10145621720
92750570123
101100424144
11515184a46
12268643640
13146c9ba61
14a620d2c8
156691b8e9
hex419723d0

1100424144 has 120 divisors (see below), whose sum is σ = 3152030400. Its totient is φ = 330125312.

The previous prime is 1100424089. The next prime is 1100424151. The reversal of 1100424144 is 4414240011.

It is a self number, because there is not a number n which added to its sum of digits gives 1100424144.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 317332 + ... + 320780.

It is an arithmetic number, because the mean of its divisors is an integer number (26266920).

Almost surely, 21100424144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576015200).

1100424144 is an abundant number, since it is smaller than the sum of its proper divisors (2051606256).

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

1100424144 is a wasteful number, since it uses less digits than its factorization.

1100424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1100424144 is about 33172.6414986808. The cubic root of 1100424144 is about 1032.4127758064.

Adding to 1100424144 its reverse (4414240011), we get a palindrome (5514664155).

The spelling of 1100424144 in words is "one billion, one hundred million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 289 368 391 408 552 578 782 816 867 1104 1156 1173 1564 1734 2312 2346 3128 3449 3468 4624 4692 6256 6647 6898 6936 9384 10347 13294 13796 13872 18768 19941 20694 26588 27592 39882 41388 53176 55184 58633 79327 79764 82776 106352 117266 158654 159528 165552 175899 234532 237981 317308 319056 351798 469064 475962 634616 703596 938128 951924 996761 1269232 1348559 1407192 1903848 1993522 2697118 2814384 2990283 3807696 3987044 4045677 5394236 5980566 7974088 8091354 10788472 11961132 15948176 16182708 21576944 22925503 23922264 32365416 45851006 47844528 64730832 68776509 91702012 137553018 183404024 275106036 366808048 550212072 1100424144