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1444121104 = 24538811933
BaseRepresentation
bin101011000010011…
…1000101000010000
310201122100221201211
41112010320220100
510424143333404
6355144305504
750533553416
oct12604705020
93648327654
101444121104
11681194618
12343772294
131a025903a
14d9b192b6
1586bacb04
hex56138a10

1444121104 has 40 divisors (see below), whose sum is σ = 2855489112. Its totient is φ = 707266560.

The previous prime is 1444121093. The next prime is 1444121123. The reversal of 1444121104 is 4011214441.

It can be written as a sum of positive squares in 4 ways, for example, as 243360000 + 1200761104 = 15600^2 + 34652^2 .

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 7 ways as a sum of consecutive naturals, for example, 746122 + ... + 748054.

Almost surely, 21444121104 is an apocalyptic number.

It is an amenable number.

1444121104 is a deficient number, since it is larger than the sum of its proper divisors (1411368008).

1444121104 is a wasteful number, since it uses less digits than its factorization.

1444121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 1444121104 is about 38001.5934402756. The cubic root of 1444121104 is about 1130.3194606731.

Adding to 1444121104 its reverse (4011214441), we get a palindrome (5455335545).

It can be divided in two parts, 1444 and 121104, that multiplied together give a square (174874176 = 132242).

The spelling of 1444121104 in words is "one billion, four hundred forty-four million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 53 106 212 424 848 881 1762 1933 3524 3866 7048 7732 14096 15464 30928 46693 93386 102449 186772 204898 373544 409796 747088 819592 1639184 1702973 3405946 6811892 13623784 27247568 90257569 180515138 361030276 722060552 1444121104