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20241140040 = 233251119214159
BaseRepresentation
bin10010110110011101…
…110100100101001000
31221020122021110012100
4102312131310211020
5312423212440130
613144301513400
71314410565042
oct226635644510
957218243170
1020241140040
118647661110
123b0a872860
131ba7637654
14da0336a92
157d6eeec60
hex4b6774948

20241140040 has 288 divisors, whose sum is σ = 75745238400. Its totient is φ = 4648354560.

The previous prime is 20241140039. The next prime is 20241140099. The reversal of 20241140040 is 4004114202.

20241140040 is a `hidden beast` number, since 20 + 241 + 1 + 400 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20241139995 and 20241140022.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1422481 + ... + 1436639.

It is an arithmetic number, because the mean of its divisors is an integer number (263004300).

Almost surely, 220241140040 is an apocalyptic number.

20241140040 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 20241140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37872619200).

20241140040 is an abundant number, since it is smaller than the sum of its proper divisors (55504098360).

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

20241140040 is a wasteful number, since it uses less digits than its factorization.

20241140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14225 (or 14199 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20241140040 its reverse (4004114202), we get a palindrome (24245254242).

The spelling of 20241140040 in words is "twenty billion, two hundred forty-one million, one hundred forty thousand, forty".