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14456936169 = 3213230832
BaseRepresentation
bin11010111011011001…
…10101011011101001
31101022112021110011100
431131230311123221
5214101433424134
610350314152013
71021153633644
oct153554653351
941275243140
1014456936169
116149622135
122975722609
131495196a00
149b205ca5b
155992e1999
hex35db356e9

14456936169 has 27 divisors (see below), whose sum is σ = 22619467767. Its totient is φ = 8893690416.

The previous prime is 14456936141. The next prime is 14456936183. The reversal of 14456936169 is 96163965441.

It is a happy number.

The square root of 14456936169 is 120237.

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

14456936169 is a `hidden beast` number, since 1 + 44 + 569 + 36 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2138600025 + 12318336144 = 46245^2 + 110988^2 .

It is not a de Polignac number, because 14456936169 - 27 = 14456936041 is a prime.

It is a super-2 number, since 2×144569361692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14456936269) 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, 4687702 + ... + 4690784.

Almost surely, 214456936169 is an apocalyptic number.

14456936169 is the 120237-th square number.

14456936169 is the 60119-th centered octagonal number.

It is an amenable number.

14456936169 is a deficient number, since it is larger than the sum of its proper divisors (8162531598).

14456936169 is an frugal number, since it uses more digits than its factorization.

14456936169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 3099 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

It can be divided in two parts, 14456 and 936169, that added together give a square (950625 = 9752).

The spelling of 14456936169 in words is "fourteen billion, four hundred fifty-six million, nine hundred thirty-six thousand, one hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 3083 9249 27747 40079 120237 360711 521027 1563081 4689243 9504889 28514667 85544001 123563557 370690671 1112072013 1606326241 4818978723 14456936169