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441040121325 = 32521960178317
BaseRepresentation
bin1100110101100000000…
…10100010110111101101
31120011101211210112201100
412122300002202313231
524211222232340300
6534335552233313
743602246114336
oct6326002426755
91504354715640
10441040121325
11160053717a41
127158753b839
13327890378bb
14174bc96328d
15b714889700
hex66b00a2ded

441040121325 has 18 divisors (see below), whose sum is σ = 789951862154. Its totient is φ = 235221397920.

The previous prime is 441040121321. The next prime is 441040121339. The reversal of 441040121325 is 523121040144.

441040121325 is a `hidden beast` number, since 4 + 41 + 0 + 401 + 213 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6773619204 + 434266502121 = 82302^2 + 658989^2 .

It is not a de Polignac number, because 441040121325 - 22 = 441040121321 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441040121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 980088934 + ... + 980089383.

Almost surely, 2441040121325 is an apocalyptic number.

441040121325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

441040121325 is a deficient number, since it is larger than the sum of its proper divisors (348911740829).

441040121325 is a wasteful number, since it uses less digits than its factorization.

441040121325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960178333 (or 1960178325 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 441040121325 its reverse (523121040144), we get a palindrome (964161161469).

The spelling of 441040121325 in words is "four hundred forty-one billion, forty million, one hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1960178317 5880534951 9800891585 17641604853 29402674755 49004457925 88208024265 147013373775 441040121325