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14133401010 = 2325179237517
BaseRepresentation
bin11010010100110101…
…01001010110110010
31100110222111011100200
431022122221112302
5212421122313020
610254235500030
71010144632521
oct151232512662
940428434320
1014133401010
115aa2a33403
1228a52b7616
1314431486a1
149810c04b8
1557abd4590
hex34a6a95b2

14133401010 has 48 divisors (see below), whose sum is σ = 38908425816. Its totient is φ = 3547206144.

The previous prime is 14133400997. The next prime is 14133401011. The reversal of 14133401010 is 1010433141.

14133401010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14082806241 + 50594769 = 118671^2 + 7113^2 .

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

It is not an unprimeable number, because it can be changed into a prime (14133401011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4617229 + ... + 4620288.

Almost surely, 214133401010 is an apocalyptic number.

14133401010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14133401010 is an abundant number, since it is smaller than the sum of its proper divisors (24775024806).

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

14133401010 is a wasteful number, since it uses less digits than its factorization.

14133401010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237547 (or 9237544 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14133401010 its reverse (1010433141), we get a palindrome (15143834151).

The spelling of 14133401010 in words is "fourteen billion, one hundred thirty-three million, four hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 9237517 18475034 27712551 46187585 55425102 83137653 92375170 138562755 157037789 166275306 277125510 314075578 415688265 471113367 785188945 831376530 942226734 1413340101 1570377890 2355566835 2826680202 4711133670 7066700505 14133401010