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441190014561 = 3249021112729
BaseRepresentation
bin1100110101110001111…
…10010101111001100001
31120011210021211220120200
412122320332111321201
524212024120431221
6534402505055413
743606046151012
oct6327076257141
91504707756520
10441190014561
11160120296a4a
1271609787569
13327b10ca01a
14174d4821009
15b722ae7426
hex66b8f95e61

441190014561 has 6 divisors (see below), whose sum is σ = 637274465490. Its totient is φ = 294126676368.

The previous prime is 441190014553. The next prime is 441190014593. The reversal of 441190014561 is 165410091144.

441190014561 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 90 + 0 + 1 + 4 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 398595246336 + 42594768225 = 631344^2 + 206385^2 .

It is not a de Polignac number, because 441190014561 - 23 = 441190014553 is a prime.

It is a super-3 number, since 3×4411900145613 (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (441190014361) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24510556356 + ... + 24510556373.

It is an arithmetic number, because the mean of its divisors is an integer number (106212410915).

Almost surely, 2441190014561 is an apocalyptic number.

It is an amenable number.

441190014561 is a deficient number, since it is larger than the sum of its proper divisors (196084450929).

441190014561 is a wasteful number, since it uses less digits than its factorization.

441190014561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49021112735 (or 49021112732 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 441190014561 in words is "four hundred forty-one billion, one hundred ninety million, fourteen thousand, five hundred sixty-one".

Divisors: 1 3 9 49021112729 147063338187 441190014561