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1044441132 = 2237233491549
BaseRepresentation
bin111110010000001…
…110100000101100
32200210022002212220
4332100032200230
54114334104012
6251345555340
734611413610
oct7620164054
92623262786
101044441132
11496618099
12251945b50
131384ca307
149c9d9340
1561a5e08c
hex3e40e82c

1044441132 has 96 divisors (see below), whose sum is σ = 2916480000. Its totient is φ = 284435712.

The previous prime is 1044441131. The next prime is 1044441157. The reversal of 1044441132 is 2311444401.

It is not an unprimeable number, because it can be changed into a prime (1044441131) 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 31 ways as a sum of consecutive naturals, for example, 673494 + ... + 675042.

It is an arithmetic number, because the mean of its divisors is an integer number (30380000).

Almost surely, 21044441132 is an apocalyptic number.

1044441132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1044441132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458240000).

1044441132 is an abundant number, since it is smaller than the sum of its proper divisors (1872038868).

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

1044441132 is a wasteful number, since it uses less digits than its factorization.

1044441132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1044441132 is about 32317.8144681846. The cubic root of 1044441132 is about 1014.5995271945.

Adding to 1044441132 its reverse (2311444401), we get a palindrome (3355885533).

The spelling of 1044441132 in words is "one billion, forty-four million, four hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 349 483 644 698 966 1047 1396 1549 1932 2094 2443 3098 4188 4647 4886 6196 7329 8027 9294 9772 10843 14658 16054 18588 21686 24081 29316 32108 32529 35627 43372 48162 56189 65058 71254 96324 106881 112378 130116 142508 168567 213762 224756 249389 337134 427524 498778 540601 674268 748167 997556 1081202 1496334 1621803 2162404 2992668 3243606 3784207 6487212 7568414 11352621 12433823 15136828 22705242 24867646 37301469 45410484 49735292 74602938 87036761 149205876 174073522 261110283 348147044 522220566 1044441132