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13141442104 = 2372232950261
BaseRepresentation
bin11000011110100101…
…00111111000111000
31020220211221102112221
430033102213320320
5203403202121404
610012002413424
7643441262200
oct141722477070
936824842487
1013141442104
115634001a5a
122669061274
13131579555b
148c9467400
1551da90954
hex30f4a7e38

13141442104 has 96 divisors (see below), whose sum is σ = 30941287200. Its totient is φ = 5201306880.

The previous prime is 13141442099. The next prime is 13141442123. The reversal of 13141442104 is 40124414131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236334 + ... + 286594.

It is an arithmetic number, because the mean of its divisors is an integer number (322305075).

Almost surely, 213141442104 is an apocalyptic number.

13141442104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141442104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15470643600).

13141442104 is an abundant number, since it is smaller than the sum of its proper divisors (17799845096).

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

13141442104 is a wasteful number, since it uses less digits than its factorization.

13141442104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50333 (or 50322 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 13141442104 its reverse (40124414131), we get a palindrome (53265856235).

The spelling of 13141442104 in words is "thirteen billion, one hundred forty-one million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 29 46 49 56 58 92 98 116 161 184 196 203 232 322 392 406 644 667 812 1127 1288 1334 1421 1624 2254 2668 2842 4508 4669 5336 5684 9016 9338 11368 18676 32683 37352 50261 65366 100522 130732 201044 261464 351827 402088 703654 1156003 1407308 1457569 2312006 2462789 2814616 2915138 4624012 4925578 5830276 8092021 9248024 9851156 10202983 11660552 16184042 19702312 20405966 32368084 33524087 40811932 56644147 64736168 67048174 71420881 81623864 113288294 134096348 142841762 226576588 234668609 268192696 285683524 453153176 469337218 571367048 938674436 1642680263 1877348872 3285360526 6570721052 13141442104