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420145641 = 3246682849
BaseRepresentation
bin11001000010101…
…110100111101001
31002021120121110200
4121002232213221
51330024130031
6105405102413
713261115256
oct3102564751
91067517420
10420145641
111a6185703
12b8857a09
13690760b6
143db2a42d
1526d428e6
hex190ae9e9

420145641 has 6 divisors (see below), whose sum is σ = 606877050. Its totient is φ = 280097088.

The previous prime is 420145589. The next prime is 420145673. The reversal of 420145641 is 146541024.

420145641 is a `hidden beast` number, since 4 + 2 + 0 + 14 + 5 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 366914025 + 53231616 = 19155^2 + 7296^2 .

It is not a de Polignac number, because 420145641 - 27 = 420145513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420145241) 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, 23341416 + ... + 23341433.

It is an arithmetic number, because the mean of its divisors is an integer number (101146175).

Almost surely, 2420145641 is an apocalyptic number.

It is an amenable number.

420145641 is a deficient number, since it is larger than the sum of its proper divisors (186731409).

420145641 is a wasteful number, since it uses less digits than its factorization.

420145641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46682855 (or 46682852 counting only the distinct ones).

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

The square root of 420145641 is about 20497.4545004983. The cubic root of 420145641 is about 748.9737911677.

Adding to 420145641 its reverse (146541024), we get a palindrome (566686665).

The spelling of 420145641 in words is "four hundred twenty million, one hundred forty-five thousand, six hundred forty-one".

Divisors: 1 3 9 46682849 140048547 420145641