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43144414224 = 2431039539157
BaseRepresentation
bin101000001011100110…
…111000010000010000
311010100210211022220120
4220023212320100100
51201324432223344
631453102310240
73055105320132
oct501346702020
9133323738816
1043144414224
111732a995a8a
128440b88380
1340b765b3b2
142134047052
1511c7aa5219
hexa0b9b8410

43144414224 has 80 divisors (see below), whose sum is σ = 112668895872. Its totient is φ = 14225347584.

The previous prime is 43144414199. The next prime is 43144414237. The reversal of 43144414224 is 42241444134.

It is a super-2 number, since 2×431444142242 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4707054 + ... + 4716210.

Almost surely, 243144414224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43144414224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56334447936).

43144414224 is an abundant number, since it is smaller than the sum of its proper divisors (69524481648).

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

43144414224 is a wasteful number, since it uses less digits than its factorization.

43144414224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10218 counting only the distinct ones).

The product of its digits is 49152, while the sum is 33.

Adding to 43144414224 its reverse (42241444134), we get a palindrome (85385858358).

The spelling of 43144414224 in words is "forty-three billion, one hundred forty-four million, four hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 953 1236 1648 1906 2472 2859 3812 4944 5718 7624 9157 11436 15248 18314 22872 27471 36628 45744 54942 73256 98159 109884 146512 196318 219768 294477 392636 439536 588954 785272 943171 1177908 1570544 1886342 2355816 2829513 3772684 4711632 5659026 7545368 8726621 11318052 15090736 17453242 22636104 26179863 34906484 45272208 52359726 69812968 104719452 139625936 209438904 418877808 898841963 1797683926 2696525889 3595367852 5393051778 7190735704 10786103556 14381471408 21572207112 43144414224