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1444104012 = 2231333127967
BaseRepresentation
bin101011000010011…
…0100011101001100
310201122100002021210
41112010310131030
510424142312022
6355144054420
750533452531
oct12604643514
93648302253
101444104012
1168118279a
12343764410
131a0251320
14d9b12d88
1586ba7a0c
hex5613474c

1444104012 has 48 divisors (see below), whose sum is σ = 3639867392. Its totient is φ = 442981440.

The previous prime is 1444103989. The next prime is 1444104019. The reversal of 1444104012 is 2104014441.

It is a super-2 number, since 2×14441040122 = 4170872794948992288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1444104012.

It is not an unprimeable number, because it can be changed into a prime (1444104019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37653 + ... + 65619.

Almost surely, 21444104012 is an apocalyptic number.

1444104012 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 1444104012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819933696).

1444104012 is an abundant number, since it is smaller than the sum of its proper divisors (2195763380).

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

1444104012 is a wasteful number, since it uses less digits than its factorization.

1444104012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28318 (or 28316 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1444104012 is about 38001.3685543034. The cubic root of 1444104012 is about 1130.3150013296.

Adding to 1444104012 its reverse (2104014441), we get a palindrome (3548118453).

The spelling of 1444104012 in words is "one billion, four hundred forty-four million, one hundred four thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 331 662 993 1324 1986 3972 4303 8606 12909 17212 25818 27967 51636 55934 83901 111868 167802 335604 363571 727142 1090713 1454284 2181426 4362852 9257077 18514154 27771231 37028308 55542462 111084924 120342001 240684002 361026003 481368004 722052006 1444104012