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14434111344 = 2434347148793
BaseRepresentation
bin11010111000101011…
…10000111101110000
31101020221022211101110
431130111300331300
5214030113030334
610344141033320
71020455631162
oct153425607560
941227284343
1014434111344
116137752544
122969b55840
1314905348b3
149acdda932
155972d3ae9
hex35c570f70

14434111344 has 80 divisors (see below), whose sum is σ = 38967363072. Its totient is φ = 4599458304.

The previous prime is 14434111331. The next prime is 14434111423. The reversal of 14434111344 is 44311143441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22612 + ... + 171404.

Almost surely, 214434111344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14434111344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19483681536).

14434111344 is an abundant number, since it is smaller than the sum of its proper divisors (24533251728).

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

14434111344 is a wasteful number, since it uses less digits than its factorization.

14434111344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148894 (or 148888 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 14434111344 its reverse (44311143441), we get a palindrome (58745254785).

The spelling of 14434111344 in words is "fourteen billion, four hundred thirty-four million, one hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 47 48 86 94 129 141 172 188 258 282 344 376 516 564 688 752 1032 1128 2021 2064 2256 4042 6063 8084 12126 16168 24252 32336 48504 97008 148793 297586 446379 595172 892758 1190344 1785516 2380688 3571032 6398099 6993271 7142064 12796198 13986542 19194297 20979813 25592396 27973084 38388594 41959626 51184792 55946168 76777188 83919252 102369584 111892336 153554376 167838504 300710653 307108752 335677008 601421306 902131959 1202842612 1804263918 2405685224 3608527836 4811370448 7217055672 14434111344