Search a number
-
+
14134104342 = 2335310347947
BaseRepresentation
bin11010010100111010…
…10101000100010110
31100111000210220011000
431022131111010112
5212421312314332
610254302524130
71010153622201
oct151235250426
940430726130
1014134104342
115aa3373876
1228a5596646
131443333867
14981224938
1557acc2b7c
hex34a755116

14134104342 has 64 divisors (see below), whose sum is σ = 32313116160. Its totient is φ = 4577500512.

The previous prime is 14134104337. The next prime is 14134104359. The reversal of 14134104342 is 24340143141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 270813 + ... + 318759.

It is an arithmetic number, because the mean of its divisors is an integer number (504892440).

Almost surely, 214134104342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14134104342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156558080).

14134104342 is an abundant number, since it is smaller than the sum of its proper divisors (18179011818).

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

14134104342 is a wasteful number, since it uses less digits than its factorization.

14134104342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48114 (or 48108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14134104342 its reverse (24340143141), we get a palindrome (38474247483).

The spelling of 14134104342 in words is "fourteen billion, one hundred thirty-four million, one hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 103 106 159 206 309 318 477 618 927 954 1431 1854 2781 2862 5459 5562 10918 16377 32754 47947 49131 95894 98262 143841 147393 287682 294786 431523 863046 1294569 2541191 2589138 4938541 5082382 7623573 9877082 14815623 15247146 22870719 29631246 44446869 45741438 68612157 88893738 133340607 137224314 261742673 266681214 523485346 785228019 1570456038 2355684057 4711368114 7067052171 14134104342