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413041212 = 223237310091
BaseRepresentation
bin11000100111101…
…000001000111100
31001210012200000200
4120213220020330
51321214304322
6104552523500
713143535533
oct3047501074
91053180020
10413041212
111a2172a81
12b63b0590
13677594ac
143cbdb31a
15263dc8ac
hex189e823c

413041212 has 36 divisors (see below), whose sum is σ = 1072298136. Its totient is φ = 133958880.

The previous prime is 413041207. The next prime is 413041219. The reversal of 413041212 is 212140314.

413041212 is a `hidden beast` number, since 413 + 0 + 41 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413041219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153714 + ... + 156377.

Almost surely, 2413041212 is an apocalyptic number.

It is an amenable number.

413041212 is an abundant number, since it is smaller than the sum of its proper divisors (659256924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413041212 is a wasteful number, since it uses less digits than its factorization.

413041212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310138 (or 310133 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 413041212 is about 20323.4153625812. The cubic root of 413041212 is about 744.7281935655.

Adding to 413041212 its reverse (212140314), we get a palindrome (625181526).

The spelling of 413041212 in words is "four hundred thirteen million, forty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 310091 620182 930273 1240364 1860546 2790819 3721092 5581638 11163276 11473367 22946734 34420101 45893468 68840202 103260303 137680404 206520606 413041212