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413690041 = 4110199901
BaseRepresentation
bin11000101010000…
…110100010111001
31001211102122001101
4120222012202321
51321401040131
6105014451401
713152210262
oct3052064271
91054378041
10413690041
111a25764a6
12b6663b61
136792590b
143cd29969
15264b9c61
hex18a868b9

413690041 has 8 divisors (see below), whose sum is σ = 427980168. Its totient is φ = 399600000.

The previous prime is 413689999. The next prime is 413690047. The reversal of 413690041 is 140096314.

It can be written as a sum of positive squares in 4 ways, for example, as 177422400 + 236267641 = 13320^2 + 15371^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413690041 - 223 = 405301433 is a prime.

It is a super-2 number, since 2×4136900412 = 342278900045163362, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413689991 and 413690009.

It is not an unprimeable number, because it can be changed into a prime (413690047) 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 7 ways as a sum of consecutive naturals, for example, 45810 + ... + 54091.

It is an arithmetic number, because the mean of its divisors is an integer number (53497521).

Almost surely, 2413690041 is an apocalyptic number.

413690041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413690041 is a deficient number, since it is larger than the sum of its proper divisors (14290127).

413690041 is a wasteful number, since it uses less digits than its factorization.

413690041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100043.

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 413690041 is about 20339.3716962939. The cubic root of 413690041 is about 745.1179435809.

The spelling of 413690041 in words is "four hundred thirteen million, six hundred ninety thousand, forty-one".

Divisors: 1 41 101 4141 99901 4095941 10090001 413690041