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14358989241 = 325926772
BaseRepresentation
bin11010101111101110…
…01100100110111001
31101001200222020020100
431113313030212321
5213401400123431
610332454550013
71015554252252
oct152767144671
941050866210
1014358989241
1160a9303163
122948968309
13147aac184c
149a3043b29
155908e54e6
hex357dcc9b9

14358989241 has 27 divisors (see below), whose sum is σ = 21129469231. Its totient is φ = 9396510864.

The previous prime is 14358989221. The next prime is 14358989251. The reversal of 14358989241 is 14298985341.

It is a happy number.

The square root of 14358989241 is 119829.

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

14358989241 is a `hidden beast` number, since 1 + 435 + 89 + 8 + 92 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14274275625 + 84713616 = 119475^2 + 9204^2 .

It is not a de Polignac number, because 14358989241 - 215 = 14358956473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14358989221) 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, 21209395 + ... + 21210071.

Almost surely, 214358989241 is an apocalyptic number.

14358989241 is the 119829-th square number.

14358989241 is the 59915-th centered octagonal number.

It is an amenable number.

14358989241 is a deficient number, since it is larger than the sum of its proper divisors (6770479990).

14358989241 is an frugal number, since it uses more digits than its factorization.

14358989241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 739 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 14358989241 in words is "fourteen billion, three hundred fifty-eight million, nine hundred eighty-nine thousand, two hundred forty-one".

Divisors: 1 3 9 59 177 531 677 2031 3481 6093 10443 31329 39943 119829 359487 458329 1374987 2356637 4124961 7069911 21209733 27041411 81124233 243372699 1595443249 4786329747 14358989241