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240402221313 = 34710116880993
BaseRepresentation
bin1101111111100100010…
…1101100100100000001
3211222112001012011220120
43133321011230210001
512414320432040223
6302234513530453
723240251110462
oct3377105544401
9758461164816
10240402221313
1192a54872051
123a712273a29
13198928100c7
14b8c7c70d69
1563c040cbe3
hex37f916c901

240402221313 has 16 divisors (see below), whose sum is σ = 330597386496. Its totient is φ = 155305126400.

The previous prime is 240402221273. The next prime is 240402221327. The reversal of 240402221313 is 313122204042.

It is a happy number.

240402221313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 240402221313 - 29 = 240402220801 is a prime.

It is a super-3 number, since 3×2404022213133 (a number of 35 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (240402221413) 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, 8426256 + ... + 8454737.

It is an arithmetic number, because the mean of its divisors is an integer number (20662336656).

Almost surely, 2240402221313 is an apocalyptic number.

It is an amenable number.

240402221313 is a deficient number, since it is larger than the sum of its proper divisors (90195165183).

240402221313 is a wasteful number, since it uses less digits than its factorization.

240402221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16881144.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 240402221313 its reverse (313122204042), we get a palindrome (553524425355).

The spelling of 240402221313 in words is "two hundred forty billion, four hundred two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 47 101 141 303 4747 14241 16880993 50642979 793406671 1704980293 2380220013 5114940879 80134073771 240402221313