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4441042240 = 26525754001
BaseRepresentation
bin1000010001011010…
…01110110101000000
3102110111121022122221
410020231032311000
533043401322430
62012402540424
7215024144005
oct41055166500
912414538587
104441042240
111979941848
12a3b367714
1355a10305b
14301b5d8ac
151aed4457a
hex108b4ed40

4441042240 has 56 divisors (see below), whose sum is σ = 10616577192. Its totient is φ = 1769472000.

The previous prime is 4441042219. The next prime is 4441042241. The reversal of 4441042240 is 422401444.

It can be written as a sum of positive squares in 4 ways, for example, as 1028613184 + 3412429056 = 32072^2 + 58416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441042241) by changing a digit.

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, 55240 + ... + 109240.

Almost surely, 24441042240 is an apocalyptic number.

4441042240 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 4441042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308288596).

4441042240 is an abundant number, since it is smaller than the sum of its proper divisors (6175534952).

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

4441042240 is a wasteful number, since it uses less digits than its factorization.

4441042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54275 (or 54265 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4441042240 is about 66641.1452482624. The cubic root of 4441042240 is about 1643.7217479084.

Adding to 4441042240 its reverse (422401444), we get a palindrome (4863443684).

The spelling of 4441042240 in words is "four billion, four hundred forty-one million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 257 320 514 1028 1285 2056 2570 4112 5140 8224 10280 16448 20560 41120 54001 82240 108002 216004 270005 432008 540010 864016 1080020 1728032 2160040 3456064 4320080 8640160 13878257 17280320 27756514 55513028 69391285 111026056 138782570 222052112 277565140 444104224 555130280 888208448 1110260560 2220521120 4441042240