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40414122 = 2327245821
BaseRepresentation
bin1001101000101…
…0101110101010
32211001020202100
42122022232222
540321222442
64002114230
71000341300
oct232125652
984036670
1040414122
11208a3801
121164b976
1384b01a8
145520270
15383484c
hex268abaa

40414122 has 36 divisors (see below), whose sum is σ = 101862306. Its totient is φ = 11546640.

The previous prime is 40414063. The next prime is 40414133. The reversal of 40414122 is 22141404.

40414122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 21150801 + 19263321 = 4599^2 + 4389^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40414095 and 40414104.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 22029 + ... + 23792.

Almost surely, 240414122 is an apocalyptic number.

40414122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

40414122 is an abundant number, since it is smaller than the sum of its proper divisors (61448184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40414122 is a wasteful number, since it uses less digits than its factorization.

40414122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45843 (or 45833 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40414122 is about 6357.2102372031. The cubic root of 40414122 is about 343.1713707026.

Adding to 40414122 its reverse (22141404), we get a palindrome (62555526).

The spelling of 40414122 in words is "forty million, four hundred fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 45821 91642 137463 274926 320747 412389 641494 824778 962241 1924482 2245229 2886723 4490458 5773446 6735687 13471374 20207061 40414122