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4444340440 = 235536134367
BaseRepresentation
bin1000010001110011…
…10100000011011000
3102110201210212221111
410020321310003120
533100222343230
62013001350104
7215064161521
oct41071640330
912421725844
104444340440
111980794831
12a40498334
1355a9b9357
1430237b848
151b029692a
hex108e740d8

4444340440 has 64 divisors (see below), whose sum is σ = 10355765760. Its totient is φ = 1715550720.

The previous prime is 4444340437. The next prime is 4444340519. The reversal of 4444340440 is 440434444.

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 15 ways as a sum of consecutive naturals, for example, 112137 + ... + 146503.

It is an arithmetic number, because the mean of its divisors is an integer number (161808840).

Almost surely, 24444340440 is an apocalyptic number.

4444340440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5177882880).

4444340440 is an abundant number, since it is smaller than the sum of its proper divisors (5911425320).

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

4444340440 is a wasteful number, since it uses less digits than its factorization.

4444340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34492 (or 34488 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 31.

The square root of 4444340440 is about 66665.8866287699. The cubic root of 4444340440 is about 1644.1285579361.

Adding to 4444340440 its reverse (440434444), we get a palindrome (4884774884).

The spelling of 4444340440 in words is "four billion, four hundred forty-four million, three hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 61 106 122 212 244 265 305 424 488 530 610 1060 1220 2120 2440 3233 6466 12932 16165 25864 32330 34367 64660 68734 129320 137468 171835 274936 343670 687340 1374680 1821451 2096387 3642902 4192774 7285804 8385548 9107255 10481935 14571608 16771096 18214510 20963870 36429020 41927740 72858040 83855480 111108511 222217022 444434044 555542555 888868088 1111085110 2222170220 4444340440