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4144000424 = 233769137437
BaseRepresentation
bin1111011100000000…
…0110110110101000
3101200210200000220012
43313000012312220
531441331003144
61523112151052
7204456264614
oct36700066650
911623600805
104144000424
1118371a8943
12977998488
135106cc875
142b451a344
15193c1be9e
hexf7006da8

4144000424 has 16 divisors (see below), whose sum is σ = 7772118900. Its totient is φ = 2071435392.

The previous prime is 4144000403. The next prime is 4144000447. The reversal of 4144000424 is 4240004414.

It can be written as a sum of positive squares in 2 ways, for example, as 3478876324 + 665124100 = 58982^2 + 25790^2 .

It is a super-2 number, since 2×41440004242 = 34345479028224359552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4144000424.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38567 + ... + 98870.

Almost surely, 24144000424 is an apocalyptic number.

It is an amenable number.

4144000424 is a deficient number, since it is larger than the sum of its proper divisors (3628118476).

4144000424 is a wasteful number, since it uses less digits than its factorization.

4144000424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141212 (or 141208 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4144000424 is about 64373.9110509840. The cubic root of 4144000424 is about 1606.2257984332.

Adding to 4144000424 its reverse (4240004414), we get a palindrome (8384004838).

The spelling of 4144000424 in words is "four billion, one hundred forty-four million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 3769 7538 15076 30152 137437 274874 549748 1099496 518000053 1036000106 2072000212 4144000424