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20304422440302 = 23711131731107167359
BaseRepresentation
bin1001001110111011111011…
…11000110000110101101110
32122220002021002222210000010
410213131331320300311232
510130131424121042202
6111103420051314050
74163642342044230
oct447357570606556
978802232883003
1020304422440302
11651906a150180
12233b171bab926
13b43911401710
14502a4c87a250
1525327091276c
hex12777de30d6e

20304422440302 has 1024 divisors, whose sum is σ = 60679016939520. Its totient is φ = 4354123161600.

The previous prime is 20304422440301. The next prime is 20304422440303.

20304422440302 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20304422440301) and next prime (20304422440303).

It is a self number, because there is not a number n which added to its sum of digits gives 20304422440302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20304422440301) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 56558279599 + ... + 56558279957.

It is an arithmetic number, because the mean of its divisors is an integer number (59256852480).

Almost surely, 220304422440302 is an apocalyptic number.

20304422440302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20304422440302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30339508469760).

20304422440302 is an abundant number, since it is smaller than the sum of its proper divisors (40374594499218).

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

20304422440302 is a wasteful number, since it uses less digits than its factorization.

20304422440302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2030442 and 2440302, that added together give a palindrome (4470744).

The spelling of 20304422440302 in words is "twenty trillion, three hundred four billion, four hundred twenty-two million, four hundred forty thousand, three hundred two".