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1444135305 = 35179537853
BaseRepresentation
bin101011000010011…
…1100000110001001
310201122101200012210
41112010330012021
510424144312210
6355144455333
750533643004
oct12604740611
93648350183
101444135305
116811a4258
1234377a549
131a0262642
14d9b2053b
1586bb1e20
hex5613c189

1444135305 has 16 divisors (see below), whose sum is σ = 2323529280. Its totient is φ = 765901248.

The previous prime is 1444135291. The next prime is 1444135327. The reversal of 1444135305 is 5035314441.

It is a de Polignac number, because none of the positive numbers 2k-1444135305 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 266242 + ... + 271611.

It is an arithmetic number, because the mean of its divisors is an integer number (145220580).

Almost surely, 21444135305 is an apocalyptic number.

1444135305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1444135305 is a deficient number, since it is larger than the sum of its proper divisors (879393975).

1444135305 is a wasteful number, since it uses less digits than its factorization.

1444135305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538040.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1444135305 is about 38001.7802872444. The cubic root of 1444135305 is about 1130.3231657211.

Adding to 1444135305 its reverse (5035314441), we get a palindrome (6479449746).

The spelling of 1444135305 in words is "one billion, four hundred forty-four million, one hundred thirty-five thousand, three hundred five".

Divisors: 1 3 5 15 179 537 895 2685 537853 1613559 2689265 8067795 96275687 288827061 481378435 1444135305