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414414705 = 3589310423
BaseRepresentation
bin11000101100110…
…111011101110001
31001212210110002210
4120230313131301
51322042232310
6105042202333
713161316065
oct3054673561
91055713083
10414414705
111a2a209a1
12b69533a9
1367b1a703
143d077aa5
15265ae820
hex18b37771

414414705 has 16 divisors (see below), whose sum is σ = 670515840. Its totient is φ = 218537088.

The previous prime is 414414703. The next prime is 414414709. The reversal of 414414705 is 507414414.

It is not a de Polignac number, because 414414705 - 21 = 414414703 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414414703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153877 + ... + 156546.

It is an arithmetic number, because the mean of its divisors is an integer number (41907240).

Almost surely, 2414414705 is an apocalyptic number.

It is an amenable number.

414414705 is a deficient number, since it is larger than the sum of its proper divisors (256101135).

414414705 is a wasteful number, since it uses less digits than its factorization.

414414705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310520.

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 414414705 is about 20357.1782180144. The cubic root of 414414705 is about 745.5527660473.

The spelling of 414414705 in words is "four hundred fourteen million, four hundred fourteen thousand, seven hundred five".

Divisors: 1 3 5 15 89 267 445 1335 310423 931269 1552115 4656345 27627647 82882941 138138235 414414705