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1442224434224 = 24759218254303
BaseRepresentation
bin10100111111001011010…
…001100110110000110000
312002212122002201022002002
4110333023101212300300
5142112133423343344
63022314310513132
7206124444264560
oct24771321466060
95085562638062
101442224434224
1150670a104722
121b361a0657a8
13a60027945b2
144db383b4da0
15277b008d44e
hex14fcb466c30

1442224434224 has 40 divisors (see below), whose sum is σ = 3247624043520. Its totient is φ = 607619976768.

The previous prime is 1442224434199. The next prime is 1442224434229. The reversal of 1442224434224 is 4224344222441.

It is a super-2 number, since 2×14422244342242 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442224434229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109120544 + ... + 109133759.

It is an arithmetic number, because the mean of its divisors is an integer number (81190601088).

Almost surely, 21442224434224 is an apocalyptic number.

1442224434224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1442224434224 is an abundant number, since it is smaller than the sum of its proper divisors (1805399609296).

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

1442224434224 is a wasteful number, since it uses less digits than its factorization.

1442224434224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218254377 (or 218254371 counting only the distinct ones).

The product of its digits is 393216, while the sum is 38.

Adding to 1442224434224 its reverse (4224344222441), we get a palindrome (5666568656665).

The spelling of 1442224434224 in words is "one trillion, four hundred forty-two billion, two hundred twenty-four million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 218254303 436508606 873017212 1527780121 1746034424 3055560242 3492068848 6111120484 12222240968 12877003877 24444481936 25754007754 51508015508 90139027139 103016031016 180278054278 206032062032 360556108556 721112217112 1442224434224