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1444103120 = 24518051289
BaseRepresentation
bin101011000010011…
…0100001111010000
310201122100001001202
41112010310033100
510424142244440
6355144050332
750533450115
oct12604641720
93648301052
101444103120
11681182059
123437639a8
131a0250ab5
14d9b1290c
1586ba7615
hex561343d0

1444103120 has 20 divisors (see below), whose sum is σ = 3357539940. Its totient is φ = 577641216.

The previous prime is 1444103119. The next prime is 1444103123. The reversal of 1444103120 is 213014441.

It can be written as a sum of positive squares in 2 ways, for example, as 571018816 + 873084304 = 23896^2 + 29548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1444103092 and 1444103101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444103123) 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 3 ways as a sum of consecutive naturals, for example, 9025565 + ... + 9025724.

It is an arithmetic number, because the mean of its divisors is an integer number (167876997).

Almost surely, 21444103120 is an apocalyptic number.

1444103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444103120 is an abundant number, since it is smaller than the sum of its proper divisors (1913436820).

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

1444103120 is a wasteful number, since it uses less digits than its factorization.

1444103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18051302 (or 18051296 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1444103120 is about 38001.3568178822. The cubic root of 1444103120 is about 1130.3147686037.

Adding to 1444103120 its reverse (213014441), we get a palindrome (1657117561).

The spelling of 1444103120 in words is "one billion, four hundred forty-four million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 18051289 36102578 72205156 90256445 144410312 180512890 288820624 361025780 722051560 1444103120