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2614042134 = 2321122834241
BaseRepresentation
bin1001101111001111…
…0001111000010110
320202011210002200100
42123303301320112
520323143322014
61111215554530
7121530664044
oct23363617026
96664702610
102614042134
111121616600
1260b52ba46
1332874b5c2
141ab259394
15104756009
hex9bcf1e16

2614042134 has 72 divisors (see below), whose sum is σ = 6248924136. Its totient is φ = 789148800.

The previous prime is 2614042129. The next prime is 2614042147. The reversal of 2614042134 is 4312404162.

It is a happy number.

2614042134 is a `hidden beast` number, since 2 + 614 + 0 + 42 + 1 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2614042098 and 2614042107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 614254 + ... + 618494.

It is an arithmetic number, because the mean of its divisors is an integer number (86790613).

Almost surely, 22614042134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2614042134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124462068).

2614042134 is an abundant number, since it is smaller than the sum of its proper divisors (3634882002).

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

2614042134 is a wasteful number, since it uses less digits than its factorization.

2614042134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4554 (or 4540 counting only the distinct ones).

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

The square root of 2614042134 is about 51127.7041729824. The cubic root of 2614042134 is about 1377.5399239859.

Adding to 2614042134 its reverse (4312404162), we get a palindrome (6926446296).

The spelling of 2614042134 in words is "two billion, six hundred fourteen million, forty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 283 363 566 726 849 1089 1698 2178 2547 3113 4241 5094 6226 8482 9339 12723 18678 25446 28017 34243 38169 46651 56034 68486 76338 93302 102729 139953 205458 279906 308187 419859 513161 616374 839718 1026322 1200203 1539483 2400406 3078966 3600609 4618449 7201218 9236898 10801827 13202233 21603654 26404466 39606699 79213398 118820097 145224563 237640194 290449126 435673689 871347378 1307021067 2614042134