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14515189441 = 1721923732
BaseRepresentation
bin11011000010010110…
…00011011011000001
31101110120220000121221
431201023003123001
5214211342030231
610400154515041
71022462034364
oct154113033301
941416800557
1014515189441
11617949a735
122991135a81
1314a42818bc
149b9aa40db
1559e49bd11
hex3612c36c1

14515189441 has 27 divisors (see below), whose sum is σ = 16317247401. Its totient is φ = 12907638144.

The previous prime is 14515189433. The next prime is 14515189453. The reversal of 14515189441 is 14498151541.

The square root of 14515189441 is 120479.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1605685041 + 12909504400 = 40071^2 + 113620^2 .

It is not a de Polignac number, because 14515189441 - 23 = 14515189433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14515180441) 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, 38914531 + ... + 38914903.

Almost surely, 214515189441 is an apocalyptic number.

14515189441 is the 120479-th square number.

14515189441 is the 60240-th centered octagonal number.

It is an amenable number.

14515189441 is a deficient number, since it is larger than the sum of its proper divisors (1802057960).

14515189441 is an frugal number, since it uses more digits than its factorization.

14515189441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its digits is 115200, while the sum is 43.

The spelling of 14515189441 in words is "fourteen billion, five hundred fifteen million, one hundred eighty-nine thousand, four hundred forty-one".

Divisors: 1 17 19 289 323 361 373 5491 6137 6341 7087 104329 107797 120479 134653 139129 2048143 2289101 2365193 2643451 38914717 40208281 44938667 50225569 763957339 853834673 14515189441