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14234102322 = 23112329332003
BaseRepresentation
bin11010100000110101…
…10010101000110010
31100201222222022120220
431100122302220302
5213122412233242
610312234113510
71012506605406
oct152032625062
940658868526
1014234102322
116044863830
122912b7b896
13145ac7646b
14990615106
15584976bec
hex3506b2a32

14234102322 has 64 divisors (see below), whose sum is σ = 32518112256. Its totient is φ = 4111616960.

The previous prime is 14234102317. The next prime is 14234102359. The reversal of 14234102322 is 22320143241.

14234102322 = T16908 + T16909 + ... + T17006.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14234102292 and 14234102301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428773 + ... + 460775.

It is an arithmetic number, because the mean of its divisors is an integer number (508095504).

Almost surely, 214234102322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14234102322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259056128).

14234102322 is an abundant number, since it is smaller than the sum of its proper divisors (18284009934).

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

14234102322 is a wasteful number, since it uses less digits than its factorization.

14234102322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32335.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14234102322 its reverse (22320143241), we get a palindrome (36554245563).

The spelling of 14234102322 in words is "fourteen billion, two hundred thirty-four million, one hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 293 506 586 759 879 1518 1758 3223 6446 6739 9669 13478 19338 20217 32003 40434 64006 74129 96009 148258 192018 222387 352033 444774 704066 736069 1056099 1472138 2112198 2208207 4416414 8096759 9376879 16193518 18753758 24290277 28130637 48580554 56261274 103145669 206291338 215668217 309437007 431336434 618874014 647004651 1294009302 2372350387 4744700774 7117051161 14234102322