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14244242144 = 2511191211867
BaseRepresentation
bin11010100010000010…
…11110001011100000
31100202201001110210212
431101001132023200
5213133011222034
610313235313252
71012662026516
oct152101361340
940681043725
1014244242144
11604a559a50
12291644b828
1314600b6862
14991ad44b6
155857cb2ce
hex35105e2e0

14244242144 has 48 divisors (see below), whose sum is σ = 30753063936. Its totient is φ = 6440726400.

The previous prime is 14244242123. The next prime is 14244242161. The reversal of 14244242144 is 44124244241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14244242144.

It is a congruent number.

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, 38702 + ... + 173165.

It is an arithmetic number, because the mean of its divisors is an integer number (640688832).

Almost surely, 214244242144 is an apocalyptic number.

It is an amenable number.

14244242144 is an abundant number, since it is smaller than the sum of its proper divisors (16508821792).

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

14244242144 is a wasteful number, since it uses less digits than its factorization.

14244242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212079 (or 212071 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

Adding to 14244242144 its reverse (44124244241), we get a palindrome (58368486385).

The spelling of 14244242144 in words is "fourteen billion, two hundred forty-four million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 191 352 382 764 1528 2101 3056 4202 6112 8404 16808 33616 67232 211867 423734 847468 1694936 2330537 3389872 4661074 6779744 9322148 18644296 37288592 40466597 74577184 80933194 161866388 323732776 445132567 647465552 890265134 1294931104 1780530268 3561060536 7122121072 14244242144