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14130113352 = 23329174711621
BaseRepresentation
bin11010010100011100…
…00110101101001000
31100110202022010112120
431022032012231020
5212414302111402
610254041211240
71010104660515
oct151216065510
940422263476
1014130113352
115aa1098333
1228a4190b20
131442567124
149808a630c
1557a7853bc
hex34a386b48

14130113352 has 64 divisors (see below), whose sum is σ = 36567460800. Its totient is φ = 4544628480.

The previous prime is 14130113321. The next prime is 14130113353. The reversal of 14130113352 is 25331103141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14130113353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210102 + ... + 1221722.

It is an arithmetic number, because the mean of its divisors is an integer number (571366575).

Almost surely, 214130113352 is an apocalyptic number.

14130113352 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 14130113352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18283730400).

14130113352 is an abundant number, since it is smaller than the sum of its proper divisors (22437347448).

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

14130113352 is a wasteful number, since it uses less digits than its factorization.

14130113352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13406 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 14130113352 its reverse (25331103141), we get a palindrome (39461216493).

The spelling of 14130113352 in words is "fourteen billion, one hundred thirty million, one hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1747 3494 5241 6988 10482 11621 13976 20964 23242 34863 41928 46484 50663 69726 92968 101326 139452 151989 202652 278904 303978 337009 405304 607956 674018 1011027 1215912 1348036 2022054 2696072 4044108 8088216 20301887 40603774 60905661 81207548 121811322 162415096 243622644 487245288 588754723 1177509446 1766264169 2355018892 3532528338 4710037784 7065056676 14130113352