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14234143312 = 2429371018209
BaseRepresentation
bin11010100000110101…
…11100101001010000
31100202000001101211001
431100122330221100
5213122420041222
610312235031344
71012510136044
oct152032745120
940660041731
1014234143312
116044891604
122912b9b554
13145ac8c00c
14990626024
15584983e27
hex3506bca50

14234143312 has 80 divisors (see below), whose sum is σ = 29594422800. Its totient is φ = 6618931200.

The previous prime is 14234143277. The next prime is 14234143321. The reversal of 14234143312 is 21334143241.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1035809856 + 13198333456 = 32184^2 + 114884^2 .

It is a super-2 number, since 2×142341433122 (a number of 21 digits) contains 22 as substring.

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, 1729864 + ... + 1738072.

It is an arithmetic number, because the mean of its divisors is an integer number (369930285).

Almost surely, 214234143312 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 14234143312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14797211400).

14234143312 is an abundant number, since it is smaller than the sum of its proper divisors (15360279488).

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

14234143312 is a wasteful number, since it uses less digits than its factorization.

14234143312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8378 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 14234143312 its reverse (21334143241), we get a palindrome (35568286553).

The spelling of 14234143312 in words is "fourteen billion, two hundred thirty-four million, one hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 37 58 74 101 116 148 202 232 296 404 464 592 808 1073 1616 2146 2929 3737 4292 5858 7474 8209 8584 11716 14948 16418 17168 23432 29896 32836 46864 59792 65672 108373 131344 216746 238061 303733 433492 476122 607466 829109 866984 952244 1214932 1658218 1733968 1904488 2429864 3316436 3808976 4859728 6632872 8808257 13265744 17616514 24044161 30677033 35233028 48088322 61354066 70466056 96176644 122708132 140932112 192353288 245416264 384706576 490832528 889633957 1779267914 3558535828 7117071656 14234143312