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1112032144 = 242918113241
BaseRepresentation
bin100001001001000…
…0100001110010000
32212111111002022201
41002102010032100
54234140012034
6302202412544
736362055136
oct10222041620
92774432281
101112032144
11520793233
12270501154
131495044b2
14a7991756
1567961014
hex42484390

1112032144 has 40 divisors (see below), whose sum is σ = 2241340920. Its totient is φ = 533836800.

The previous prime is 1112032139. The next prime is 1112032183. The reversal of 1112032144 is 4412302111.

It can be written as a sum of positive squares in 4 ways, for example, as 187142400 + 924889744 = 13680^2 + 30412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77364 + ... + 90604.

It is an arithmetic number, because the mean of its divisors is an integer number (56033523).

Almost surely, 21112032144 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 1112032144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120670460).

1112032144 is an abundant number, since it is smaller than the sum of its proper divisors (1129308776).

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

1112032144 is a wasteful number, since it uses less digits than its factorization.

1112032144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13459 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1112032144 is about 33347.1459648348. The cubic root of 1112032144 is about 1036.0302759447.

Adding to 1112032144 its reverse (4412302111), we get a palindrome (5524334255).

It can be divided in two parts, 11120 and 32144, that added together give a square (43264 = 2082).

The spelling of 1112032144 in words is "one billion, one hundred twelve million, thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 181 232 362 464 724 1448 2896 5249 10498 13241 20996 26482 41992 52964 83984 105928 211856 383989 767978 1535956 2396621 3071912 4793242 6143824 9586484 19172968 38345936 69502009 139004018 278008036 556016072 1112032144