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40201315 = 573112131
BaseRepresentation
bin1001100101011…
…0110001100011
32210122102211121
42121112301203
540242420230
63553353111
7665464000
oct231266143
983572747
1040201315
1120768930
1211568797
13843737b
1454a68a7
1537e177a
hex2656c63

40201315 has 32 divisors (see below), whose sum is σ = 61401600. Its totient is φ = 25048800.

The previous prime is 40201313. The next prime is 40201331. The reversal of 40201315 is 51310204.

40201315 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 40201315 - 21 = 40201313 is a prime.

It is a super-2 number, since 2×402013152 = 3232291455458450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40201313) 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, 17800 + ... + 19930.

It is an arithmetic number, because the mean of its divisors is an integer number (1918800).

Almost surely, 240201315 is an apocalyptic number.

40201315 is a deficient number, since it is larger than the sum of its proper divisors (21200285).

40201315 is a wasteful number, since it uses less digits than its factorization.

40201315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 40201315 is about 6340.4506937599. The cubic root of 40201315 is about 342.5679691771.

Adding to 40201315 its reverse (51310204), we get a palindrome (91511519).

Subtracting 40201315 from its reverse (51310204), we obtain a square (11108889 = 33332).

It can be divided in two parts, 4020 and 1315, that added together give a palindrome (5335).

The spelling of 40201315 in words is "forty million, two hundred one thousand, three hundred fifteen".

Divisors: 1 5 7 11 35 49 55 77 245 343 385 539 1715 2131 2695 3773 10655 14917 18865 23441 74585 104419 117205 164087 522095 730933 820435 1148609 3654665 5743045 8040263 40201315