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14013320440 = 2357389128657
BaseRepresentation
bin11010000110100001…
…00100110011111000
31100011121112102210011
431003100210303320
5212144402223230
610234310031304
71004156154430
oct150320446370
940147472704
1014013320440
115a41177069
122871048534
1314242c3bb2
1496d1832c0
155703b4e2a
hex343424cf8

14013320440 has 64 divisors (see below), whose sum is σ = 36127166400. Its totient is φ = 4792178688.

The previous prime is 14013320429. The next prime is 14013320441. The reversal of 14013320440 is 4402331041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013320441) 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, 44592 + ... + 173248.

It is an arithmetic number, because the mean of its divisors is an integer number (564486975).

Almost surely, 214013320440 is an apocalyptic number.

14013320440 is a gapful number since it is divisible by the number (10) 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 14013320440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18063583200).

14013320440 is an abundant number, since it is smaller than the sum of its proper divisors (22113845960).

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

14013320440 is a wasteful number, since it uses less digits than its factorization.

14013320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129064 (or 129060 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 14013320440 its reverse (4402331041), we get a palindrome (18415651481).

The spelling of 14013320440 in words is "fourteen billion, thirteen million, three hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 389 778 1556 1945 2723 3112 3890 5446 7780 10892 13615 15560 21784 27230 54460 108920 128657 257314 514628 643285 900599 1029256 1286570 1801198 2573140 3602396 4502995 5146280 7204792 9005990 18011980 36023960 50047573 100095146 200190292 250237865 350333011 400380584 500475730 700666022 1000951460 1401332044 1751665055 2001902920 2802664088 3503330110 7006660220 14013320440