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14141681104 = 2429473891667
BaseRepresentation
bin11010010101110100…
…01110110111010000
31100111120001211111211
431022322032313100
5212430232243404
610255133145504
71010305206655
oct151272166720
940446054454
1014141681104
115aa7679361
1228a802b294
131444a87455
14982237c2c
1557b7bcb04
hex34ae8edd0

14141681104 has 80 divisors (see below), whose sum is σ = 29039212800. Its totient is φ = 6660588032.

The previous prime is 14141681093. The next prime is 14141681143. The reversal of 14141681104 is 40118614141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8482479 + ... + 8484145.

It is an arithmetic number, because the mean of its divisors is an integer number (362990160).

Almost surely, 214141681104 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 14141681104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14519606400).

14141681104 is an abundant number, since it is smaller than the sum of its proper divisors (14897531696).

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

14141681104 is a wasteful number, since it uses less digits than its factorization.

14141681104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The spelling of 14141681104 in words is "fourteen billion, one hundred forty-one million, six hundred eighty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 389 464 752 778 1363 1556 1667 2726 3112 3334 5452 6224 6668 10904 11281 13336 18283 21808 22562 26672 36566 45124 48343 73132 78349 90248 96686 146264 156698 180496 193372 292528 313396 386744 530207 626792 648463 773488 1060414 1253584 1296926 2120828 2272121 2593852 4241656 4544242 5187704 8483312 9088484 10375408 18176968 18805427 30477761 36353936 37610854 60955522 75221708 121911044 150443416 243822088 300886832 487644176 883855069 1767710138 3535420276 7070840552 14141681104