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4400310144 = 27314837727
BaseRepresentation
bin1000001100100011…
…10110011110000000
3102100122221220201210
410012101312132000
533002434411034
62004345530120
7214021006356
oct40621663600
912318856653
104400310144
11195895115a
12a297a3940
13551841219
142da5997d6
151ab49a8e9
hex106476780

4400310144 has 64 divisors (see below), whose sum is σ = 11697719040. Its totient is φ = 1465591296.

The previous prime is 4400310059. The next prime is 4400310151. The reversal of 4400310144 is 4410130044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 4400310144.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 565609 + ... + 573335.

It is an arithmetic number, because the mean of its divisors is an integer number (182776860).

Almost surely, 24400310144 is an apocalyptic number.

It is an amenable number.

4400310144 is an abundant number, since it is smaller than the sum of its proper divisors (7297408896).

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

4400310144 is a wasteful number, since it uses less digits than its factorization.

4400310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9227 (or 9215 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4400310144 is about 66334.8335642745. The cubic root of 4400310144 is about 1638.6810414446.

Adding to 4400310144 its reverse (4410130044), we get a palindrome (8810440188).

The spelling of 4400310144 in words is "four billion, four hundred million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1483 2966 4449 5932 7727 8898 11864 15454 17796 23181 23728 30908 35592 46362 47456 61816 71184 92724 94912 123632 142368 185448 189824 247264 284736 370896 494528 569472 741792 989056 1483584 2967168 11459141 22918282 34377423 45836564 68754846 91673128 137509692 183346256 275019384 366692512 550038768 733385024 1100077536 1466770048 2200155072 4400310144