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413140511 = 7217495967
BaseRepresentation
bin11000101000000…
…000011000011111
31001210101201020102
4120220000120133
51321230444021
6104555011315
713144431200
oct3050003037
91053351212
10413140511
111a2230643
12b6439b3b
1367792754
143cc255a7
152640c00b
hex18a0061f

413140511 has 12 divisors (see below), whose sum is σ = 508863168. Its totient is φ = 333289152.

The previous prime is 413140499. The next prime is 413140523. The reversal of 413140511 is 115041314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413140499) and next prime (413140523).

It is not a de Polignac number, because 413140511 - 26 = 413140447 is a prime.

It is a super-2 number, since 2×4131405112 = 341370163658682242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413140561) 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 11 ways as a sum of consecutive naturals, for example, 247151 + ... + 248816.

It is an arithmetic number, because the mean of its divisors is an integer number (42405264).

Almost surely, 2413140511 is an apocalyptic number.

413140511 is a deficient number, since it is larger than the sum of its proper divisors (95722657).

413140511 is a wasteful number, since it uses less digits than its factorization.

413140511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495998 (or 495991 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 413140511 is about 20325.8581860644. The cubic root of 413140511 is about 744.7878686757.

Adding to 413140511 its reverse (115041314), we get a palindrome (528181825).

The spelling of 413140511 in words is "four hundred thirteen million, one hundred forty thousand, five hundred eleven".

Divisors: 1 7 17 49 119 833 495967 3471769 8431439 24302383 59020073 413140511