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14130052104 = 23372915119207
BaseRepresentation
bin11010010100011011…
…10111110000001000
31100110202012000112010
431022031313300020
5212414243131404
610254040015520
71010104314120
oct151215676010
940422160463
1014130052104
115aa1056313
1228a41615a0
13144254529c
1498088bc80
1557a772189
hex34a377c08

14130052104 has 128 divisors (see below), whose sum is σ = 42042470400. Its totient is φ = 3871929600.

The previous prime is 14130052103. The next prime is 14130052151. The reversal of 14130052104 is 40125003141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14130052103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726069 + ... + 745275.

It is an arithmetic number, because the mean of its divisors is an integer number (328456800).

Almost surely, 214130052104 is an apocalyptic number.

14130052104 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 14130052104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21021235200).

14130052104 is an abundant number, since it is smaller than the sum of its proper divisors (27912418296).

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

14130052104 is a wasteful number, since it uses less digits than its factorization.

14130052104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19403 (or 19399 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 14130052104 its reverse (40125003141), we get a palindrome (54255055245).

The spelling of 14130052104 in words is "fourteen billion, one hundred thirty million, fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 151 168 174 203 232 302 348 406 453 604 609 696 812 906 1057 1208 1218 1624 1812 2114 2436 3171 3624 4228 4379 4872 6342 8456 8758 12684 13137 17516 19207 25368 26274 30653 35032 38414 52548 57621 61306 76828 91959 105096 115242 122612 134449 153656 183918 230484 245224 268898 367836 403347 460968 537796 557003 735672 806694 1075592 1114006 1613388 1671009 2228012 2900257 3226776 3342018 3899021 4456024 5800514 6684036 7798042 8700771 11601028 11697063 13368072 15596084 17401542 20301799 23202056 23394126 31192168 34803084 40603598 46788252 60905397 69606168 81207196 84107453 93576504 121810794 162414392 168214906 243621588 252322359 336429812 487243176 504644718 588752171 672859624 1009289436 1177504342 1766256513 2018578872 2355008684 3532513026 4710017368 7065026052 14130052104