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420144431 = 72910491973
BaseRepresentation
bin11001000010101…
…110010100101111
31002021120112210212
4121002232110233
51330024110211
6105405053035
713261111610
oct3102562457
91067515725
10420144431
111a6184803
12b885717b
1369075695
143db29c07
1526d4238b
hex190ae52f

420144431 has 16 divisors (see below), whose sum is σ = 497448000. Its totient is φ = 347198208.

The previous prime is 420144407. The next prime is 420144433. The reversal of 420144431 is 134441024.

It is a happy number.

It is not a de Polignac number, because 420144431 - 26 = 420144367 is a prime.

It is a super-2 number, since 2×4201444312 = 353042685800627522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420144397 and 420144406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420144433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211961 + ... + 213933.

It is an arithmetic number, because the mean of its divisors is an integer number (31090500).

Almost surely, 2420144431 is an apocalyptic number.

420144431 is a deficient number, since it is larger than the sum of its proper divisors (77303569).

420144431 is a wasteful number, since it uses less digits than its factorization.

420144431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 420144431 is about 20497.4249846170. The cubic root of 420144431 is about 748.9730721637.

Adding to 420144431 its reverse (134441024), we get a palindrome (554585455).

The spelling of 420144431 in words is "four hundred twenty million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 29 203 1049 1973 7343 13811 30421 57217 212947 400519 2069677 14487739 60020633 420144431