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14130320232 = 2337167503647
BaseRepresentation
bin11010010100011101…
…11001001101101000
31100110202200122022210
431022032321031220
5212414330221412
610254045445120
71010106511620
oct151216711550
940422618283
1014130320232
115aa1219806
1228a42707a0
13144260a342
1498091b880
1557a7c683c
hex34a3b9368

14130320232 has 64 divisors (see below), whose sum is σ = 40614174720. Its totient is φ = 4013051328.

The previous prime is 14130320231. The next prime is 14130320249. The reversal of 14130320232 is 23202303141.

14130320232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 14130320199 and 14130320208.

It is not an unprimeable number, because it can be changed into a prime (14130320231) 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 15 ways as a sum of consecutive naturals, for example, 223768 + ... + 279879.

It is an arithmetic number, because the mean of its divisors is an integer number (634596480).

Almost surely, 214130320232 is an apocalyptic number.

14130320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14130320232 is an abundant number, since it is smaller than the sum of its proper divisors (26483854488).

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

14130320232 is a wasteful number, since it uses less digits than its factorization.

14130320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503830 (or 503826 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 14130320232 its reverse (23202303141), we get a palindrome (37332623373).

The spelling of 14130320232 in words is "fourteen billion, one hundred thirty million, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 167 168 334 501 668 1002 1169 1336 2004 2338 3507 4008 4676 7014 9352 14028 28056 503647 1007294 1510941 2014588 3021882 3525529 4029176 6043764 7051058 10576587 12087528 14102116 21153174 28204232 42306348 84109049 84612696 168218098 252327147 336436196 504654294 588763343 672872392 1009308588 1177526686 1766290029 2018617176 2355053372 3532580058 4710106744 7065160116 14130320232