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14635918441 = 31123892
BaseRepresentation
bin11011010000101111…
…00110010001101001
31101210000001200200101
431220113212101221
5214433243342231
610420150305401
71025456153104
oct155027462151
941700050611
1014635918441
11623065a171
122a05658261
1314c32a2591
149cbb2d73b
155a9d98661
hex3685e6469

14635918441 has 9 divisors (see below), whose sum is σ = 14720973463. Its totient is φ = 14551354120.

The previous prime is 14635918433. The next prime is 14635918457. The reversal of 14635918441 is 14481953641.

The square root of 14635918441 is 120979.

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

14635918441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3454970841 + 11180947600 = 58779^2 + 105740^2 .

It is not a de Polignac number, because 14635918441 - 23 = 14635918433 is a prime.

It is a super-2 number, since 2×146359184412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14635918391 and 14635918400.

It is not an unprimeable number, because it can be changed into a prime (14635918411) 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 8 ways as a sum of consecutive naturals, for example, 37624275 + ... + 37624663.

Almost surely, 214635918441 is an apocalyptic number.

14635918441 is the 120979-th square number.

14635918441 is the 60490-th centered octagonal number.

It is an amenable number.

14635918441 is a deficient number, since it is larger than the sum of its proper divisors (85055022).

14635918441 is an frugal number, since it uses more digits than its factorization.

14635918441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 700 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The spelling of 14635918441 in words is "fourteen billion, six hundred thirty-five million, nine hundred eighteen thousand, four hundred forty-one".

Divisors: 1 311 389 96721 120979 151321 37624469 47060831 14635918441