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1130320144 = 244113712577
BaseRepresentation
bin100001101011111…
…0101000100010000
32220202220012202001
41003113311010100
54303330221034
6304054403344
740003364002
oct10327650420
92822805661
101130320144
11530044288
12276660554
131502385b5
14aa192372
1569374a14
hex435f5110

1130320144 has 40 divisors (see below), whose sum is σ = 2259964728. Its totient is φ = 547307520.

The previous prime is 1130320117. The next prime is 1130320151. The reversal of 1130320144 is 4410230311.

It can be written as a sum of positive squares in 4 ways, for example, as 174768400 + 955551744 = 13220^2 + 30912^2 .

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 7 ways as a sum of consecutive naturals, for example, 83584 + ... + 96160.

Almost surely, 21130320144 is an apocalyptic number.

It is an amenable number.

1130320144 is a deficient number, since it is larger than the sum of its proper divisors (1129644584).

1130320144 is a wasteful number, since it uses less digits than its factorization.

1130320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12763 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1130320144 is about 33620.2341455261. The cubic root of 1130320144 is about 1041.6787925401.

Adding to 1130320144 its reverse (4410230311), we get a palindrome (5540550455).

The spelling of 1130320144 in words is "one billion, one hundred thirty million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 82 137 164 274 328 548 656 1096 2192 5617 11234 12577 22468 25154 44936 50308 89872 100616 201232 515657 1031314 1723049 2062628 3446098 4125256 6892196 8250512 13784392 27568784 70645009 141290018 282580036 565160072 1130320144