Search a number
-
+
40414311 = 3271921777
BaseRepresentation
bin1001101000101…
…0110001100111
32211001021000100
42122022301213
540321224221
64002115143
71000341660
oct232126147
984037010
1040414311
11208a3963
121164bab3
1384b02c2
145520367
153834926
hex268ac67

40414311 has 36 divisors (see below), whose sum is σ = 70451472. Its totient is φ = 21866112.

The previous prime is 40414303. The next prime is 40414327. The reversal of 40414311 is 11341404.

40414311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40414311 - 23 = 40414303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40414211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21855 + ... + 23631.

Almost surely, 240414311 is an apocalyptic number.

40414311 is a deficient number, since it is larger than the sum of its proper divisors (30037161).

40414311 is a wasteful number, since it uses less digits than its factorization.

40414311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40414311 is about 6357.2251021967. The cubic root of 40414311 is about 343.1719056583.

Adding to 40414311 its reverse (11341404), we get a palindrome (51755715).

The spelling of 40414311 in words is "forty million, four hundred fourteen thousand, three hundred eleven".

Divisors: 1 3 7 9 19 21 57 63 133 171 361 399 1083 1197 1777 2527 3249 5331 7581 12439 15993 22743 33763 37317 101289 111951 236341 303867 641497 709023 1924491 2127069 4490479 5773473 13471437 40414311