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4420524144 = 2431731117419
BaseRepresentation
bin1000001110111101…
…11101100001110000
3102102001222220010110
410013132331201300
533023123233034
62010351101320
7214354556331
oct40736754160
912361886113
104420524144
1119692a8243
12a34511840
13555a9ab7a
142dd13c288
151ad13ede9
hex1077bd870

4420524144 has 80 divisors (see below), whose sum is σ = 12131009280. Its totient is φ = 1382292480.

The previous prime is 4420524071. The next prime is 4420524193. The reversal of 4420524144 is 4414250244.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 245067 + ... + 262485.

It is an arithmetic number, because the mean of its divisors is an integer number (151637616).

Almost surely, 24420524144 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 4420524144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065504640).

4420524144 is an abundant number, since it is smaller than the sum of its proper divisors (7710485136).

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

4420524144 is a wasteful number, since it uses less digits than its factorization.

4420524144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17758 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

The square root of 4420524144 is about 66487.0223727909. The cubic root of 4420524144 is about 1641.1864486220.

Adding to 4420524144 its reverse (4414250244), we get a palindrome (8834774388).

The spelling of 4420524144 in words is "four billion, four hundred twenty million, five hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 311 408 622 816 933 1244 1866 2488 3732 4976 5287 7464 10574 14928 15861 17419 21148 31722 34838 42296 52257 63444 69676 84592 104514 126888 139352 209028 253776 278704 296123 418056 592246 836112 888369 1184492 1776738 2368984 3553476 4737968 5417309 7106952 10834618 14213904 16251927 21669236 32503854 43338472 65007708 86676944 92094253 130015416 184188506 260030832 276282759 368377012 552565518 736754024 1105131036 1473508048 2210262072 4420524144