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414409519 = 3113797577
BaseRepresentation
bin11000101100110…
…110001100101111
31001212210011222201
4120230312030233
51322042101034
6105042122331
713161265006
oct3054661457
91055704881
10414409519
111a2a18007
12b69503a7
1367b18244
143d075c3d
15265ad014
hex18b3632f

414409519 has 8 divisors (see below), whose sum is σ = 430904448. Its totient is φ = 398110080.

The previous prime is 414409483. The next prime is 414409537. The reversal of 414409519 is 915904414.

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 414409519 - 29 = 414409007 is a prime.

It is a super-2 number, since 2×4144095192 = 343470498875622722, 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 (414409559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44542 + ... + 53035.

It is an arithmetic number, because the mean of its divisors is an integer number (53863056).

Almost surely, 2414409519 is an apocalyptic number.

414409519 is a deficient number, since it is larger than the sum of its proper divisors (16494929).

414409519 is a wasteful number, since it uses less digits than its factorization.

414409519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97745.

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 414409519 is about 20357.0508423986. The cubic root of 414409519 is about 745.5496560766.

The spelling of 414409519 in words is "four hundred fourteen million, four hundred nine thousand, five hundred nineteen".

Divisors: 1 31 137 4247 97577 3024887 13368049 414409519