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14271211638 = 2381957241
BaseRepresentation
bin11010100101010000…
…10110100001110110
31100211120210200000000
431102220112201312
5213211412233023
610320041332130
71013440204005
oct152250264166
940746720000
1014271211638
1160637aa592
122923497046
13146586a338
14995514c3c
15587d57243
hex352a16876

14271211638 has 72 divisors (see below), whose sum is σ = 33799111320. Its totient is φ = 4506619680.

The previous prime is 14271211627. The next prime is 14271211673. The reversal of 14271211638 is 83611217241.

14271211638 is a `hidden beast` number, since 1 + 4 + 2 + 7 + 1 + 2 + 11 + 638 = 666.

It is a Curzon number.

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, 220698 + ... + 277938.

Almost surely, 214271211638 is an apocalyptic number.

14271211638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14271211638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16899555660).

14271211638 is an abundant number, since it is smaller than the sum of its proper divisors (19527899682).

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

14271211638 is an frugal number, since it uses more digits than its factorization.

14271211638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57286 (or 57265 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

Adding to 14271211638 its reverse (83611217241), we get a palindrome (97882428879).

The spelling of 14271211638 in words is "fourteen billion, two hundred seventy-one million, two hundred eleven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 2187 3078 4374 4617 6561 9234 13122 13851 27702 41553 57241 83106 114482 124659 171723 249318 343446 515169 1030338 1087579 1545507 2175158 3091014 3262737 4636521 6525474 9273042 9788211 13909563 19576422 27819126 29364633 41728689 58729266 83457378 88093899 125186067 176187798 250372134 264281697 375558201 528563394 751116402 792845091 1585690182 2378535273 4757070546 7135605819 14271211638