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1444004000 = 2553361001
BaseRepresentation
bin101011000010001…
…1100000010100000
310201122011000002122
41112010130002200
510424131112000
6355142003412
750532555125
oct12604340240
93648130078
101444004000
1168111463a
12343716568
131a021794a
14d9ac874c
1586b88085
hex5611c0a0

1444004000 has 48 divisors (see below), whose sum is σ = 3547927656. Its totient is φ = 577600000.

The previous prime is 1444003997. The next prime is 1444004041. The reversal of 1444004000 is 4004441.

1444004000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 262569616 + 1181434384 = 16204^2 + 34372^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1444004000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176501 + ... + 184500.

Almost surely, 21444004000 is an apocalyptic number.

1444004000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444004000 is an abundant number, since it is smaller than the sum of its proper divisors (2103923656).

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

1444004000 is an equidigital number, since it uses as much as digits as its factorization.

1444004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361026 (or 361008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1444004000 is about 38000.0526315425. The cubic root of 1444004000 is about 1130.2889072549.

Adding to 1444004000 its reverse (4004441), we get a palindrome (1448008441).

The spelling of 1444004000 in words is "one billion, four hundred forty-four million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 361001 722002 1444004 1805005 2888008 3610010 5776016 7220020 9025025 11552032 14440040 18050050 28880080 36100100 45125125 57760160 72200200 90250250 144400400 180500500 288800800 361001000 722002000 1444004000