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1240205141 = 7253477553
BaseRepresentation
bin100100111101100…
…0000011101010101
310012102122221121202
41021323000131111
510014443031031
6323021522245
742506366300
oct11173003525
93172587552
101240205141
1158707752a
122a7413385
13169c304c6
14ba9d7b37
1573d2d2cb
hex49ec0755

1240205141 has 12 divisors (see below), whose sum is σ = 1469911212. Its totient is φ = 1042973568.

The previous prime is 1240205117. The next prime is 1240205143. The reversal of 1240205141 is 1415020421.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 915304516 + 324900625 = 30254^2 + 18025^2 .

It is not a de Polignac number, because 1240205141 - 230 = 166463317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240205143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236180 + ... + 241373.

It is an arithmetic number, because the mean of its divisors is an integer number (122492601).

Almost surely, 21240205141 is an apocalyptic number.

It is an amenable number.

1240205141 is a deficient number, since it is larger than the sum of its proper divisors (229706071).

1240205141 is an equidigital number, since it uses as much as digits as its factorization.

1240205141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477620 (or 477613 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1240205141 is about 35216.5464093230. The cubic root of 1240205141 is about 1074.3963125020.

Adding to 1240205141 its reverse (1415020421), we get a palindrome (2655225562).

The spelling of 1240205141 in words is "one billion, two hundred forty million, two hundred five thousand, one hundred forty-one".

Divisors: 1 7 49 53 371 2597 477553 3342871 23400097 25310309 177172163 1240205141