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4142022024 = 233724654893
BaseRepresentation
bin1111011011100010…
…0011110110001000
3101200122221112001010
43312320203312020
531440324201044
61523001523520
7204433414650
oct36670436610
911618845033
104142022024
1118360774a8
129771a35a0
1351018920a
142b4163360
1519397abb9
hexf6e23d88

4142022024 has 32 divisors (see below), whose sum is σ = 11834349120. Its totient is φ = 1183434816.

The previous prime is 4142022023. The next prime is 4142022037. The reversal of 4142022024 is 4202202414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (4142022023) 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, 12327279 + ... + 12327614.

It is an arithmetic number, because the mean of its divisors is an integer number (369823410).

Almost surely, 24142022024 is an apocalyptic number.

It is an amenable number.

4142022024 is an abundant number, since it is smaller than the sum of its proper divisors (7692327096).

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

4142022024 is a wasteful number, since it uses less digits than its factorization.

4142022024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24654909 (or 24654905 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4142022024 is about 64358.5427429801. The cubic root of 4142022024 is about 1605.9701466773.

Adding to 4142022024 its reverse (4202202414), we get a palindrome (8344224438).

The spelling of 4142022024 in words is "four billion, one hundred forty-two million, twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 24654893 49309786 73964679 98619572 147929358 172584251 197239144 295858716 345168502 517752753 591717432 690337004 1035505506 1380674008 2071011012 4142022024