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1240131431 = 71132534951
BaseRepresentation
bin100100111101010…
…1110011101100111
310012102112012111202
41021322232131213
510014433201211
6323020153115
742505641350
oct11172563547
93172465452
101240131431
11587027110
122a739879b
13169c05aa6
14ba9b8d27
1573d1653b
hex49eae767

1240131431 has 16 divisors (see below), whose sum is σ = 1546925568. Its totient is φ = 965844000.

The previous prime is 1240131421. The next prime is 1240131449. The reversal of 1240131431 is 1341310421.

It is not a de Polignac number, because 1240131431 - 210 = 1240130407 is a prime.

It is a super-2 number, since 2×12401314312 = 3075851932308215522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240131401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248006 + ... + 252956.

It is an arithmetic number, because the mean of its divisors is an integer number (96682848).

Almost surely, 21240131431 is an apocalyptic number.

1240131431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1240131431 is a deficient number, since it is larger than the sum of its proper divisors (306794137).

1240131431 is a wasteful number, since it uses less digits than its factorization.

1240131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1240131431 is about 35215.4998686658. The cubic root of 1240131431 is about 1074.3750269586.

Adding to 1240131431 its reverse (1341310421), we get a palindrome (2581441852).

The spelling of 1240131431 in words is "one billion, two hundred forty million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 7 11 77 3253 4951 22771 34657 35783 54461 250481 381227 16105603 112739221 177161633 1240131431