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40011111 = 337316829
BaseRepresentation
bin1001100010100…
…0010101100111
32210021202221000
42120220111213
540220323421
63545324343
7664042320
oct230502547
983252830
1040011111
1120648a38
12114966b3
13839b91a
145457447
1537a5226
hex2628567

40011111 has 32 divisors (see below), whose sum is σ = 69939200. Its totient is φ = 22122720.

The previous prime is 40011091. The next prime is 40011133. The reversal of 40011111 is 11111004.

It is not a de Polignac number, because 40011111 - 27 = 40010983 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

40011111 is a modest number, since divided by 11111 gives 400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 40011093 and 40011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40011151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2445 + ... + 9273.

It is an arithmetic number, because the mean of its divisors is an integer number (2185600).

Almost surely, 240011111 is an apocalyptic number.

40011111 is a deficient number, since it is larger than the sum of its proper divisors (29928089).

40011111 is a wasteful number, since it uses less digits than its factorization.

40011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6870 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 40011111 is about 6325.4336610228. The cubic root of 40011111 is about 342.0268523084.

Adding to 40011111 its reverse (11111004), we get a palindrome (51122115).

It can be divided in two parts, 400 and 11111, that added together give a palindrome (11511).

The spelling of 40011111 in words is "forty million, eleven thousand, one hundred eleven".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 651 837 1953 5859 6829 20487 47803 61461 143409 184383 211699 430227 635097 1290681 1481893 1905291 4445679 5715873 13337037 40011111