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13144214356 = 22713227271587
BaseRepresentation
bin11000011110111010…
…01100101101010100
31020221001011021100221
430033131030231110
5203404404324411
610012142044124
7643503656440
oct141735145524
936831137327
1013144214356
115635625879
122669b79644
131316226340
148c9989820
1551de3c071
hex30f74cb54

13144214356 has 96 divisors (see below), whose sum is σ = 28588879872. Its totient is φ = 5149111680.

The previous prime is 13144214299. The next prime is 13144214381. The reversal of 13144214356 is 65341244131.

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, 22391895 + ... + 22392481.

It is an arithmetic number, because the mean of its divisors is an integer number (297800832).

Almost surely, 213144214356 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 13144214356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294439936).

13144214356 is an abundant number, since it is smaller than the sum of its proper divisors (15444665516).

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

13144214356 is a wasteful number, since it uses less digits than its factorization.

13144214356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

Adding to 13144214356 its reverse (65341244131), we get a palindrome (78485458487).

The spelling of 13144214356 in words is "thirteen billion, one hundred forty-four million, two hundred fourteen thousand, three hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 227 271 364 454 542 587 908 1084 1174 1589 1897 2348 2951 3178 3523 3794 4109 5902 6356 7046 7588 7631 8218 11804 14092 15262 16436 20657 24661 30524 41314 49322 53417 61517 82628 98644 106834 123034 133249 159077 213668 246068 266498 318154 430619 532996 636308 799721 861238 932743 1113539 1599442 1722476 1732237 1865486 2068001 2227078 3198884 3464474 3730972 4136002 4454156 5598047 6928948 8272004 11196094 12125659 14476007 22392188 24251318 28952014 36110479 48502636 57904028 72220958 144441916 252773353 469436227 505546706 938872454 1011093412 1877744908 3286053589 6572107178 13144214356