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14121142134 = 23112311494211
BaseRepresentation
bin11010010011010111…
…11000011101110110
31100110010102100100020
431021223320131312
5212410003022014
610253121030010
71006635504411
oct151153703566
940403370306
1014121142134
115a97020100
1228a1185306
131440745908
1497d60cb78
15579ab21a9
hex349af8776

14121142134 has 96 divisors (see below), whose sum is σ = 32267289600. Its totient is φ = 4112328000.

The previous prime is 14121142129. The next prime is 14121142153. The reversal of 14121142134 is 43124112141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3351289 + ... + 3355499.

It is an arithmetic number, because the mean of its divisors is an integer number (336117600).

Almost surely, 214121142134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121142134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16133644800).

14121142134 is an abundant number, since it is smaller than the sum of its proper divisors (18146147466).

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

14121142134 is a wasteful number, since it uses less digits than its factorization.

14121142134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4418 (or 4407 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 14121142134 its reverse (43124112141), we get a palindrome (57245254275).

The spelling of 14121142134 in words is "fourteen billion, one hundred twenty-one million, one hundred forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 149 186 242 298 341 363 447 682 726 894 1023 1639 2046 3278 3751 4211 4619 4917 7502 8422 9238 9834 11253 12633 13857 18029 22506 25266 27714 36058 46321 50809 54087 92642 101618 108174 130541 138963 152427 261082 277926 304854 391623 509531 558899 627439 783246 1019062 1117798 1254878 1435951 1528593 1676697 1882317 2871902 3057186 3353394 3764634 4307853 6901829 8615706 13803658 15795461 19450609 20705487 31590922 38901218 41410974 47386383 58351827 75920119 94772766 116703654 151840238 213956699 227760357 427913398 455520714 641870097 1283740194 2353523689 4707047378 7060571067 14121142134