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40214013 = 3719100787
BaseRepresentation
bin1001100101100…
…1110111111101
32210200002020220
42121121313331
540243322023
63553531553
7665546010
oct231316775
983602226
1040214013
1120777424
1211573bb9
138440098
1454ab377
1537e53e3
hex2659dfd

40214013 has 16 divisors (see below), whose sum is σ = 64504320. Its totient is φ = 21769776.

The previous prime is 40214011. The next prime is 40214033. The reversal of 40214013 is 31041204.

It is not a de Polignac number, because 40214013 - 21 = 40214011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40213983 and 40214001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40214011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49995 + ... + 50792.

It is an arithmetic number, because the mean of its divisors is an integer number (4031520).

Almost surely, 240214013 is an apocalyptic number.

It is an amenable number.

40214013 is a deficient number, since it is larger than the sum of its proper divisors (24290307).

40214013 is a wasteful number, since it uses less digits than its factorization.

40214013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100816.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40214013 is about 6341.4519630760. The cubic root of 40214013 is about 342.6040332558.

Adding to 40214013 its reverse (31041204), we get a palindrome (71255217).

The spelling of 40214013 in words is "forty million, two hundred fourteen thousand, thirteen".

Divisors: 1 3 7 19 21 57 133 399 100787 302361 705509 1914953 2116527 5744859 13404671 40214013