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20323301140240 = 24572531137331181
BaseRepresentation
bin1001001111011111000110…
…01001010010011100010000
32122221212222210121002201221
410213233203021102130100
510130434110042441430
6111120221243334424
74165211230252600
oct447574311223420
978855883532657
1020323301140240
11652607773692a
122342960521414
13b4562c6ab597
1450391dc7ac00
152539c7edb57a
hex127be3252710

20323301140240 has 480 divisors, whose sum is σ = 56623922060256. Its totient is φ = 6761043394560.

The previous prime is 20323301140237. The next prime is 20323301140243. The reversal of 20323301140240 is 4204110332302.

It is an interprime number because it is at equal distance from previous prime (20323301140237) and next prime (20323301140243).

It can be written as a sum of positive squares in 16 ways, for example, as 244621246464 + 20078679893776 = 494592^2 + 4480924^2 .

It is not an unprimeable number, because it can be changed into a prime (20323301140243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17208552450 + ... + 17208553630.

Almost surely, 220323301140240 is an apocalyptic number.

20323301140240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20323301140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28311961030128).

20323301140240 is an abundant number, since it is smaller than the sum of its proper divisors (36300620920016).

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

20323301140240 is a wasteful number, since it uses less digits than its factorization.

20323301140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 20323301140240 its reverse (4204110332302), we get a palindrome (24527411472542).

The spelling of 20323301140240 in words is "twenty trillion, three hundred twenty-three billion, three hundred one million, one hundred forty thousand, two hundred forty".