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40401431 = 72827997
BaseRepresentation
bin1001101000011…
…1101000010111
32211000121100022
42122013220113
540320321211
64001535355
71000256300
oct232075027
984017308
1040401431
1120895214
121164455b
1384a7495
1455197a7
153830bdb
hex2687a17

40401431 has 12 divisors (see below), whose sum is σ = 47101608. Its totient is φ = 34553232.

The previous prime is 40401421. The next prime is 40401433. The reversal of 40401431 is 13410404.

Adding to 40401431 its reverse (13410404), we get a palindrome (53811835).

40401431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-40401431 is a prime.

It is a super-3 number, since 3×404014313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40401433) 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 11 ways as a sum of consecutive naturals, for example, 40025 + ... + 41021.

It is an arithmetic number, because the mean of its divisors is an integer number (3925134).

Almost surely, 240401431 is an apocalyptic number.

40401431 is a deficient number, since it is larger than the sum of its proper divisors (6700177).

40401431 is an equidigital number, since it uses as much as digits as its factorization.

40401431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 40401431 is about 6356.2120008697. The cubic root of 40401431 is about 343.1354456051.

The spelling of 40401431 in words is "forty million, four hundred one thousand, four hundred thirty-one".

Divisors: 1 7 49 827 997 5789 6979 40523 48853 824519 5771633 40401431