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20242420000 = 255411101911
BaseRepresentation
bin10010110110100010…
…101101000100100000
31221020201200110222021
4102312202231010200
5312424024420000
613144345151224
71314424505515
oct226642550440
957221613867
1020242420000
118648355830
123b0b18b514
131ba799511a
14da058b30c
157d71a411a
hex4b68ad120

20242420000 has 240 divisors, whose sum is σ = 54924718464. Its totient is φ = 7280000000.

The previous prime is 20242419983. The next prime is 20242420027. The reversal of 20242420000 is 2424202.

It is a super-3 number, since 3×202424200003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22219545 + ... + 22220455.

Almost surely, 220242420000 is an apocalyptic number.

20242420000 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 20242420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27462359232).

20242420000 is an abundant number, since it is smaller than the sum of its proper divisors (34682298464).

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

20242420000 is a wasteful number, since it uses less digits than its factorization.

20242420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20242420000 its reverse (2424202), we get a palindrome (20244844202).

The spelling of 20242420000 in words is "twenty billion, two hundred forty-two million, four hundred twenty thousand".