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14130101412 = 223271719672591
BaseRepresentation
bin11010010100011100…
…00011110010100100
31100110202021112011100
431022032003302210
5212414301221122
610254041040100
71010104610640
oct151216036244
940422245140
1014130101412
115aa108a369
1228a4186030
13144256186b
149808a1c20
1557a781aac
hex34a383ca4

14130101412 has 288 divisors, whose sum is σ = 46193172480. Its totient is φ = 3544611840.

The previous prime is 14130101383. The next prime is 14130101437. The reversal of 14130101412 is 21410103141.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5452237 + ... + 5454827.

It is an arithmetic number, because the mean of its divisors is an integer number (160392960).

Almost surely, 214130101412 is an apocalyptic number.

14130101412 is a gapful number since it is divisible by the number (12) 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 14130101412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23096586240).

14130101412 is an abundant number, since it is smaller than the sum of its proper divisors (32063071068).

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

14130101412 is a wasteful number, since it uses less digits than its factorization.

14130101412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14130101412 its reverse (21410103141), we get a palindrome (35540204553).

The spelling of 14130101412 in words is "fourteen billion, one hundred thirty million, one hundred one thousand, four hundred twelve".