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444132031231111 = 2929536676377681
BaseRepresentation
bin110010011111011111000101…
…1111101000111010010000111
32011020112121101212221022021011
41210332332023331013102013
5431203124344443343421
64212331234412503051
7162356323522655236
oct14476761375072207
92136477355838234
10444132031231111
1111957237814a463
124198b91a77aa87
13160a8617576262
147b961681d6b1d
153652d6014a4e1
hex193ef8bf47487

444132031231111 has 16 divisors (see below), whose sum is σ = 459615316073760. Its totient is φ = 428659980456960.

The previous prime is 444132031231073. The next prime is 444132031231121. The reversal of 444132031231111 is 111132130231444.

It is a cyclic number.

It is not a de Polignac number, because 444132031231111 - 221 = 444132029133959 is a prime.

It is a super-2 number, since 2×4441320312311112 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444132031231121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5717344191 + ... + 5717421871.

It is an arithmetic number, because the mean of its divisors is an integer number (28725957254610).

Almost surely, 2444132031231111 is an apocalyptic number.

444132031231111 is a deficient number, since it is larger than the sum of its proper divisors (15483284842649).

444132031231111 is a wasteful number, since it uses less digits than its factorization.

444132031231111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147426.

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 444132031231111 its reverse (111132130231444), we get a palindrome (555264161462555).

The spelling of 444132031231111 in words is "four hundred forty-four trillion, one hundred thirty-two billion, thirty-one million, two hundred thirty-one thousand, one hundred eleven".

Divisors: 1 29 2953 66763 77681 85637 1936127 2252749 197151139 229391993 5186216603 5717383031 6652367797 150400281487 15314897628659 444132031231111