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4421142624 = 253311485599
BaseRepresentation
bin1000001111000010…
…10100100001100000
3102102010011022112010
410013201110201200
533023303030444
62010412232520
7214363043433
oct40741244140
912363138463
104421142624
11196968a988
12a3476b740
13555c56532
142dd25d81a
151ad2132b9
hex107854860

4421142624 has 48 divisors (see below), whose sum is σ = 11979878400. Its totient is φ = 1426174080.

The previous prime is 4421142619. The next prime is 4421142631. The reversal of 4421142624 is 4262411244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4421142591 and 4421142600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 739824 + ... + 745775.

It is an arithmetic number, because the mean of its divisors is an integer number (249580800).

Almost surely, 24421142624 is an apocalyptic number.

It is an amenable number.

4421142624 is an abundant number, since it is smaller than the sum of its proper divisors (7558735776).

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

4421142624 is a wasteful number, since it uses less digits than its factorization.

4421142624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485643 (or 1485635 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 4421142624 is about 66491.6733433593. The cubic root of 4421142624 is about 1641.2629850708.

Adding to 4421142624 its reverse (4262411244), we get a palindrome (8683553868).

The spelling of 4421142624 in words is "four billion, four hundred twenty-one million, one hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 1485599 2971198 4456797 5942396 8913594 11884792 17827188 23769584 35654376 46053569 47539168 71308752 92107138 138160707 142617504 184214276 276321414 368428552 552642828 736857104 1105285656 1473714208 2210571312 4421142624