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14431103412 = 2231117411011553
BaseRepresentation
bin11010111000010100…
…10010100110110100
31101020201200000021120
431130022102212310
5214023330302122
610343552343540
71020421232535
oct153412224664
941221600246
1014431103412
116135a88650
122968b44bb0
13148ca2075b
149ac85668c
15596ddc75c
hex35c2929b4

14431103412 has 192 divisors, whose sum is σ = 40263568128. Its totient is φ = 3973120000.

The previous prime is 14431103411. The next prime is 14431103413. The reversal of 14431103412 is 21430113441.

It is an interprime number because it is at equal distance from previous prime (14431103411) and next prime (14431103413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431103411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9291628 + ... + 9293180.

It is an arithmetic number, because the mean of its divisors is an integer number (209706084).

Almost surely, 214431103412 is an apocalyptic number.

14431103412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14431103412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20131784064).

14431103412 is an abundant number, since it is smaller than the sum of its proper divisors (25832464716).

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

14431103412 is a wasteful number, since it uses less digits than its factorization.

14431103412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14431103412 its reverse (21430113441), we get a palindrome (35861216853).

The spelling of 14431103412 in words is "fourteen billion, four hundred thirty-one million, one hundred three thousand, four hundred twelve".