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1240400011 = 59671791753
BaseRepresentation
bin100100111101111…
…0000000010001011
310012110000211221011
41021323300002023
510020020300021
6323030024351
742511140364
oct11173600213
93173024834
101240400011
1158719a984
122a74a80b7
13169c9b106
14baa48b6b
1573d6ade1
hex49ef008b

1240400011 has 16 divisors (see below), whose sum is σ = 1288137600. Its totient is φ = 1193784768.

The previous prime is 1240399997. The next prime is 1240400023. The reversal of 1240400011 is 1100040421.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1240400011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1240399964 and 1240400000.

It is not an unprimeable number, because it can be changed into a prime (1240400071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706711 + ... + 708463.

It is an arithmetic number, because the mean of its divisors is an integer number (80508600).

Almost surely, 21240400011 is an apocalyptic number.

1240400011 is a deficient number, since it is larger than the sum of its proper divisors (47737589).

1240400011 is a wasteful number, since it uses less digits than its factorization.

1240400011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1240400011 is about 35219.3130398649. The cubic root of 1240400011 is about 1074.4525818610.

Adding to 1240400011 its reverse (1100040421), we get a palindrome (2340440432).

The spelling of 1240400011 in words is "one billion, two hundred forty million, four hundred thousand, eleven".

Divisors: 1 59 67 179 1753 3953 10561 11993 103427 117451 313787 707587 6929609 18513433 21023729 1240400011