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414132271 = 7216015279
BaseRepresentation
bin11000101011110…
…010100000101111
31001212021002200021
4120223302200233
51322004213041
6105032143011
713156031500
oct3053624057
91055232607
10414132271
111a2848783
12b6837a67
1367a4bca7
143d002ba7
1526555cd1
hex18af282f

414132271 has 12 divisors (see below), whose sum is σ = 482137920. Its totient is φ = 354681600.

The previous prime is 414132263. The next prime is 414132281. The reversal of 414132271 is 172231414.

It is not a de Polignac number, because 414132271 - 23 = 414132263 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414132221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75810 + ... + 81088.

It is an arithmetic number, because the mean of its divisors is an integer number (40178160).

Almost surely, 2414132271 is an apocalyptic number.

414132271 is a deficient number, since it is larger than the sum of its proper divisors (68005649).

414132271 is a wasteful number, since it uses less digits than its factorization.

414132271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6887 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 414132271 is about 20350.2400722940. The cubic root of 414132271 is about 745.3833565953.

Adding to 414132271 its reverse (172231414), we get a palindrome (586363685).

The spelling of 414132271 in words is "four hundred fourteen million, one hundred thirty-two thousand, two hundred seventy-one".

Divisors: 1 7 49 1601 5279 11207 36953 78449 258671 8451679 59161753 414132271