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414066421 = 4156917749
BaseRepresentation
bin11000101011100…
…010011011110101
31001212010202100101
4120223202123311
51322000111141
6105030514101
713155335506
oct3053423365
91055122311
10414066421
111a280325a
12b6805931
1367a28022
143cdc6bad
1526541531
hex18ae26f5

414066421 has 8 divisors (see below), whose sum is σ = 424935000. Its totient is φ = 403234560.

The previous prime is 414066409. The next prime is 414066427. The reversal of 414066421 is 124660414.

It can be written as a sum of positive squares in 4 ways, for example, as 46922500 + 367143921 = 6850^2 + 19161^2 .

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 414066421 - 29 = 414065909 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414066421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414066427) 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, 14455 + ... + 32203.

It is an arithmetic number, because the mean of its divisors is an integer number (53116875).

Almost surely, 2414066421 is an apocalyptic number.

414066421 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414066421 is a deficient number, since it is larger than the sum of its proper divisors (10868579).

414066421 is a wasteful number, since it uses less digits than its factorization.

414066421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18359.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 414066421 is about 20348.6220909427. The cubic root of 414066421 is about 745.3438474021.

The spelling of 414066421 in words is "four hundred fourteen million, sixty-six thousand, four hundred twenty-one".

Divisors: 1 41 569 17749 23329 727709 10099181 414066421