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40138119 = 337534007
BaseRepresentation
bin1001100100011…
…1010110000111
32210112020011000
42121013112013
540233404434
63552144343
7665111520
oct231072607
983466130
1040138119
11207253aa
12115380b3
138414688
14548b847
1537ccb99
hex2647587

40138119 has 32 divisors (see below), whose sum is σ = 69258240. Its totient is φ = 22497696.

The previous prime is 40138103. The next prime is 40138121. The reversal of 40138119 is 91183104.

40138119 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 40138119 - 24 = 40138103 is a prime.

It is a super-2 number, since 2×401381192 = 3222137193716322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40138092 and 40138101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40138129) 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 31 ways as a sum of consecutive naturals, for example, 8014 + ... + 12020.

It is an arithmetic number, because the mean of its divisors is an integer number (2164320).

Almost surely, 240138119 is an apocalyptic number.

40138119 is a deficient number, since it is larger than the sum of its proper divisors (29120121).

40138119 is a wasteful number, since it uses less digits than its factorization.

40138119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 40138119 is about 6335.4651762913. The cubic root of 40138119 is about 342.3883707464.

The spelling of 40138119 in words is "forty million, one hundred thirty-eight thousand, one hundred nineteen".

Divisors: 1 3 7 9 21 27 53 63 159 189 371 477 1113 1431 3339 4007 10017 12021 28049 36063 84147 108189 212371 252441 637113 757323 1486597 1911339 4459791 5734017 13379373 40138119