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14178379329 = 3219220892
BaseRepresentation
bin11010011010001100…
…01110011001000001
31100121010010022000100
431031012032121001
5213014131114304
610302523513013
71011232143612
oct151506163101
940533108010
1014178379329
116016364274
1228b8388769
13144c56618a
1498706bc09
1557eb1b439
hex34d18e641

14178379329 has 27 divisors (see below), whose sum is σ = 21624852483. Its totient is φ = 8950479264.

The previous prime is 14178379309. The next prime is 14178379349. The reversal of 14178379329 is 92397387141.

The square root of 14178379329 is 119073.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (14178379309) and next prime (14178379349).

It can be written as a sum of positive squares in only one way, i.e., 12494097729 + 1684281600 = 111777^2 + 41040^2 .

It is not a de Polignac number, because 14178379329 - 25 = 14178379297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14178379309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6786117 + ... + 6788205.

Almost surely, 214178379329 is an apocalyptic number.

14178379329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

14178379329 is the 119073-rd square number.

14178379329 is the 59537-th centered octagonal number.

It is an amenable number.

14178379329 is a deficient number, since it is larger than the sum of its proper divisors (7446473154).

14178379329 is an frugal number, since it uses more digits than its factorization.

14178379329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4222 (or 2111 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The spelling of 14178379329 in words is "fourteen billion, one hundred seventy-eight million, three hundred seventy-nine thousand, three hundred twenty-nine".

Divisors: 1 3 9 19 57 171 361 1083 2089 3249 6267 18801 39691 119073 357219 754129 2262387 4363921 6787161 13091763 39275289 82914499 248743497 746230491 1575375481 4726126443 14178379329