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412142241 = 3731633091
BaseRepresentation
bin11000100100001…
…100101010100001
31001201111222212110
4120210030222201
51321002022431
6104521345533
713133102610
oct3044145241
91051458773
10412142241
111a1709625
12b60382a9
1367503264
143ca45877
15262b1346
hex1890caa1

412142241 has 16 divisors (see below), whose sum is σ = 648286208. Its totient is φ = 227912400.

The previous prime is 412142231. The next prime is 412142273. The reversal of 412142241 is 142241214.

It is not a de Polignac number, because 412142241 - 219 = 411617953 is a prime.

It is a super-3 number, since 3×4121422413 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (412142231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315895 + ... + 317196.

It is an arithmetic number, because the mean of its divisors is an integer number (40517888).

Almost surely, 2412142241 is an apocalyptic number.

It is an amenable number.

412142241 is a deficient number, since it is larger than the sum of its proper divisors (236143967).

412142241 is a wasteful number, since it uses less digits than its factorization.

412142241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633132.

The product of its digits is 512, while the sum is 21.

The square root of 412142241 is about 20301.2866833607. The cubic root of 412142241 is about 744.1875087422.

Adding to 412142241 its reverse (142241214), we get a palindrome (554383455).

The spelling of 412142241 in words is "four hundred twelve million, one hundred forty-two thousand, two hundred forty-one".

Divisors: 1 3 7 21 31 93 217 651 633091 1899273 4431637 13294911 19625821 58877463 137380747 412142241