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353752542441 = 321982572
BaseRepresentation
bin1010010010111010100…
…10110110110011101001
31020211002121211002212100
411021131102312303221
521243441122324231
6430302304404013
734362213666144
oct5113522666351
91224077732770
10353752542441
111270310a6aa1
1258687016609
132748815a93c
141319bdad05b
1593066e81e6
hex525d4b6ce9

353752542441 has 9 divisors (see below), whose sum is σ = 510978471991. Its totient is φ = 235833838752.

The previous prime is 353752542379. The next prime is 353752542463. The reversal of 353752542441 is 144245257353.

The square root of 353752542441 is 594771.

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

353752542441 is a `hidden beast` number, since 3 + 5 + 375 + 254 + 24 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 167211477225 + 186541065216 = 408915^2 + 431904^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 353752542441 - 233 = 345162607849 is a prime.

It is a super-2 number, since 2×3537525424412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353752547441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1685185 + ... + 1883441.

Almost surely, 2353752542441 is an apocalyptic number.

353752542441 is the 594771-st square number.

353752542441 is the 297386-th centered octagonal number.

It is an amenable number.

353752542441 is a deficient number, since it is larger than the sum of its proper divisors (157225929550).

353752542441 is an frugal number, since it uses more digits than its factorization.

353752542441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396520 (or 198260 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 45.

Adding to 353752542441 its reverse (144245257353), we get a palindrome (497997799794).

The spelling of 353752542441 in words is "three hundred fifty-three billion, seven hundred fifty-two million, five hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 198257 594771 1784313 39305838049 117917514147 353752542441