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214040431 = 11112317327
BaseRepresentation
bin11001100000111…
…11111101101111
3112220202101021101
430300133331233
5414243243211
633123343531
75206212403
oct1460377557
9486671241
10214040431
11aa902820
125b821ba7
1335461c57
14205d9103
1513bce5c1
hexcc1ff6f

214040431 has 8 divisors (see below), whose sum is σ = 233720064. Its totient is φ = 194397720.

The previous prime is 214040429. The next prime is 214040441. The reversal of 214040431 is 134040412.

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

It is not a de Polignac number, because 214040431 - 21 = 214040429 is a prime.

It is a super-2 number, since 2×2140404312 = 91626612205331522, 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 = 214040399 and 214040408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3690 + ... + 21016.

It is an arithmetic number, because the mean of its divisors is an integer number (29215008).

Almost surely, 2214040431 is an apocalyptic number.

214040431 is a deficient number, since it is larger than the sum of its proper divisors (19679633).

214040431 is a wasteful number, since it uses less digits than its factorization.

214040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18461.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214040431 is about 14630.1206761940. The cubic root of 214040431 is about 598.1800695962.

Subtracting from 214040431 its sum of digits (19), we obtain a palindrome (214040412).

Adding to 214040431 its reverse (134040412), we get a palindrome (348080843).

The spelling of 214040431 in words is "two hundred fourteen million, forty thousand, four hundred thirty-one".

Divisors: 1 11 1123 12353 17327 190597 19458221 214040431