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21240313040 = 2451429185797
BaseRepresentation
bin10011110010000001…
…010111010011010000
32000211021101200212202
4103302001113103100
5322000010004130
613431353342332
71351232452622
oct236201272320
960737350782
1021240313040
11900a66a621
1241494079a8
13200664528b
141056d0ac12
15844abb145
hex4f20574d0

21240313040 has 40 divisors (see below), whose sum is σ = 49418552040. Its totient is φ = 8490134016.

The previous prime is 21240313021. The next prime is 21240313049. The reversal of 21240313040 is 4031304212.

It can be written as a sum of positive squares in 4 ways, for example, as 3839537296 + 17400775744 = 61964^2 + 131912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21240313049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21422 + ... + 207218.

It is an arithmetic number, because the mean of its divisors is an integer number (1235463801).

Almost surely, 221240313040 is an apocalyptic number.

21240313040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21240313040 is an abundant number, since it is smaller than the sum of its proper divisors (28178239000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21240313040 is a wasteful number, since it uses less digits than its factorization.

21240313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187239 (or 187233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 21240313040 its reverse (4031304212), we get a palindrome (25271617252).

The spelling of 21240313040 in words is "twenty-one billion, two hundred forty million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1429 2858 5716 7145 11432 14290 22864 28580 57160 114320 185797 371594 743188 928985 1486376 1857970 2972752 3715940 7431880 14863760 265503913 531007826 1062015652 1327519565 2124031304 2655039130 4248062608 5310078260 10620156520 21240313040