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14114101014 = 2331321195287
BaseRepresentation
bin11010010010100010…
…00001011100010110
31100102122011121202000
431021101001130112
5212401202213024
610252310100130
71006521610356
oct151121013426
940378147660
1014114101014
115a93050aa2
12289a94a646
13143c14ba80
1497c6d8b66
15579170cc9
hex349441716

14114101014 has 64 divisors (see below), whose sum is σ = 33937774080. Its totient is φ = 4322172960.

The previous prime is 14114101007. The next prime is 14114101033. The reversal of 14114101014 is 41010141141.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 100479 + ... + 195765.

It is an arithmetic number, because the mean of its divisors is an integer number (530277720).

Almost surely, 214114101014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14114101014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16968887040).

14114101014 is an abundant number, since it is smaller than the sum of its proper divisors (19823673066).

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

14114101014 is a wasteful number, since it uses less digits than its factorization.

14114101014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95522 (or 95516 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 14114101014 its reverse (41010141141), we get a palindrome (55124242155).

The spelling of 14114101014 in words is "fourteen billion, one hundred fourteen million, one hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 211 234 351 422 633 702 1266 1899 2743 3798 5486 5697 8229 11394 16458 24687 49374 74061 95287 148122 190574 285861 571722 857583 1238731 1715166 2477462 2572749 3716193 5145498 7432386 11148579 20105557 22297158 33445737 40211114 60316671 66891474 120633342 180950013 261372241 361900026 522744482 542850039 784116723 1085700078 1568233446 2352350169 4704700338 7057050507 14114101014