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413040441 = 311711731019
BaseRepresentation
bin11000100111100…
…111111100111001
31001210012121222010
4120213213330321
51321214243231
6104552520133
713143533352
oct3047477471
91053177863
10413040441
111a2172440
12b63b0049
1367759038
143cbdad29
15263dc546
hex189e7f39

413040441 has 32 divisors (see below), whose sum is σ = 613370880. Its totient is φ = 245134400.

The previous prime is 413040427. The next prime is 413040443. The reversal of 413040441 is 144040314.

It is a cyclic number.

It is not a de Polignac number, because 413040441 - 29 = 413039929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413040443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404830 + ... + 405848.

It is an arithmetic number, because the mean of its divisors is an integer number (19167840).

Almost surely, 2413040441 is an apocalyptic number.

It is an amenable number.

413040441 is a deficient number, since it is larger than the sum of its proper divisors (200330439).

413040441 is a wasteful number, since it uses less digits than its factorization.

413040441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 413040441 is about 20323.3963943038. The cubic root of 413040441 is about 744.7277301850.

Adding to 413040441 its reverse (144040314), we get a palindrome (557080755).

The spelling of 413040441 in words is "four hundred thirteen million, forty thousand, four hundred forty-one".

Divisors: 1 3 11 33 71 173 213 519 781 1019 1903 2343 3057 5709 11209 12283 33627 36849 72349 135113 176287 217047 405339 528861 795839 1939157 2387517 5817471 12516377 37549131 137680147 413040441