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1112427144 = 2332731131873
BaseRepresentation
bin100001001001110…
…0100101010001000
32212112020011011100
41002103210222020
54234240132034
6302215101400
736365321553
oct10223445210
92775204140
101112427144
11520a32a84
12270671860
1314961221a
14a7a5569a
15679dd099
hex424e4a88

1112427144 has 96 divisors (see below), whose sum is σ = 3082767480. Its totient is φ = 362299392.

The previous prime is 1112427139. The next prime is 1112427179. The reversal of 1112427144 is 4417242111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 328987044 + 783440100 = 18138^2 + 27990^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592992 + ... + 594864.

Almost surely, 21112427144 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 1112427144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541383740).

1112427144 is an abundant number, since it is smaller than the sum of its proper divisors (1970340336).

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

1112427144 is a wasteful number, since it uses less digits than its factorization.

1112427144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2064 counting only the distinct ones).

The product of its digits is 1792, while the sum is 27.

The square root of 1112427144 is about 33353.0679848196. The cubic root of 1112427144 is about 1036.1529293281.

Adding to 1112427144 its reverse (4417242111), we get a palindrome (5529669255).

The spelling of 1112427144 in words is "one billion, one hundred twelve million, four hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 113 146 219 226 292 339 438 452 584 657 678 876 904 1017 1314 1356 1752 1873 2034 2628 2712 3746 4068 5256 5619 7492 8136 8249 11238 14984 16498 16857 22476 24747 32996 33714 44952 49494 65992 67428 74241 98988 134856 136729 148482 197976 211649 273458 296964 410187 423298 546916 593928 634947 820374 846596 1093832 1230561 1269894 1640748 1693192 1904841 2461122 2539788 3281496 3809682 4922244 5079576 7619364 9844488 15238728 15450377 30900754 46351131 61801508 92702262 123603016 139053393 185404524 278106786 370809048 556213572 1112427144