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20342234440 = 23511229373917
BaseRepresentation
bin10010111100011111…
…011101110101001000
31221111200111120122101
4102330133131311020
5313130103000230
613202312403144
71320046065643
oct227437356510
957450446571
1020342234440
11869972a900
123b386a64b4
131bc2572318
14dad930a5a
157e0d1daca
hex4bc7ddd48

20342234440 has 192 divisors, whose sum is σ = 53464244400. Its totient is φ = 6947297280.

The previous prime is 20342234401. The next prime is 20342234447. The reversal of 20342234440 is 4443224302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16501457764 + 3840776676 = 128458^2 + 61974^2 .

It is a super-2 number, since 2×203422344402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20342234399 and 20342234408.

It is not an unprimeable number, because it can be changed into a prime (20342234447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5191362 + ... + 5195278.

Almost surely, 220342234440 is an apocalyptic number.

20342234440 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 20342234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26732122200).

20342234440 is an abundant number, since it is smaller than the sum of its proper divisors (33122009960).

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

20342234440 is a wasteful number, since it uses less digits than its factorization.

20342234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 20342234440 its reverse (4443224302), we get a palindrome (24785458742).

The spelling of 20342234440 in words is "twenty billion, three hundred forty-two million, two hundred thirty-four thousand, four hundred forty".