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1442224434231 = 327237149593207
BaseRepresentation
bin10100111111001011010…
…001100110110000110111
312002212122002201022002100
4110333023101212300313
5142112133423343411
63022314310513143
7206124444264600
oct24771321466067
95085562638070
101442224434231
1150670a104729
121b361a0657b3
13a60027945b9
144db383b4da7
15277b008d456
hex14fcb466c37

1442224434231 has 72 divisors (see below), whose sum is σ = 2505532629600. Its totient is φ = 796471595136.

The previous prime is 1442224434229. The next prime is 1442224434311. The reversal of 1442224434231 is 1324344222441.

1442224434231 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 224 + 4 + 3 + 423 + 1 = 666.

It is not a de Polignac number, because 1442224434231 - 21 = 1442224434229 is a prime.

It is a super-2 number, since 2×14422244342312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442224433231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2134630 + ... + 2727836.

It is an arithmetic number, because the mean of its divisors is an integer number (34799064300).

Almost surely, 21442224434231 is an apocalyptic number.

1442224434231 is a deficient number, since it is larger than the sum of its proper divisors (1063308195369).

1442224434231 is a wasteful number, since it uses less digits than its factorization.

1442224434231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593413 (or 593403 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 1442224434231 its reverse (1324344222441), we get a palindrome (2766568656672).

The spelling of 1442224434231 in words is "one trillion, four hundred forty-two billion, two hundred twenty-four million, four hundred thirty-four thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 37 49 63 111 147 149 259 333 441 447 777 1043 1341 1813 2331 3129 5439 5513 7301 9387 16317 16539 21903 38591 49617 65709 115773 270137 347319 593207 810411 1779621 2431233 4152449 5338863 12457347 21948659 29067143 37372041 65845977 87201429 88387843 153640613 197537931 261604287 265163529 460921839 618714901 795490587 1075484291 1382765517 1856144703 3226452873 3270350191 4331004307 5568434109 9679358619 9811050573 12993012921 22892451337 29433151719 38979038763 68677354011 160247159359 206032062033 480741478077 1442224434231