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20424121040 = 245733497281
BaseRepresentation
bin10011000001010111…
…110101101011010000
31221201101120211221102
4103001113311223100
5313312033333130
613214355443532
71322062110251
oct230127655320
957641524842
1020424121040
11873097a484
123b5bbb65a8
131c0651332b
14dba768b28
157e80e6645
hex4c15f5ad0

20424121040 has 40 divisors (see below), whose sum is σ = 48136589448. Its totient is φ = 8057733120.

The previous prime is 20424121033. The next prime is 20424121043. The reversal of 20424121040 is 4012142402.

It can be written as a sum of positive squares in 4 ways, for example, as 306670144 + 20117450896 = 17512^2 + 141836^2 .

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 (20424121043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1742801 + ... + 1754480.

Almost surely, 220424121040 is an apocalyptic number.

20424121040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424121040 is an abundant number, since it is smaller than the sum of its proper divisors (27712468408).

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

20424121040 is a wasteful number, since it uses less digits than its factorization.

20424121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497367 (or 3497361 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20424121040 its reverse (4012142402), we get a palindrome (24436263442).

The spelling of 20424121040 in words is "twenty billion, four hundred twenty-four million, one hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 3497281 6994562 13989124 17486405 27978248 34972810 55956496 69945620 139891240 255301513 279782480 510603026 1021206052 1276507565 2042412104 2553015130 4084824208 5106030260 10212060520 20424121040