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4444440440 = 2351143234907
BaseRepresentation
bin1000010001110100…
…01100011101111000
3102110201222222010012
410020322030131320
533100234043230
62013003441052
7215065056206
oct41072143570
912421888105
104444440440
111980852980
12a40526188
1355aa22a1b
143023a6076
151b02b6395
hex108e8c778

4444440440 has 64 divisors (see below), whose sum is σ = 11162828160. Its totient is φ = 1578568320.

The previous prime is 4444440439. The next prime is 4444440449. The reversal of 4444440440 is 440444444.

It is a junction number, because it is equal to n+sod(n) for n = 4444440397 and 4444440406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444440449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98534 + ... + 136373.

It is an arithmetic number, because the mean of its divisors is an integer number (174419190).

Almost surely, 24444440440 is an apocalyptic number.

4444440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444440440 is an abundant number, since it is smaller than the sum of its proper divisors (6718387720).

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

4444440440 is a wasteful number, since it uses less digits than its factorization.

4444440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234972 (or 234968 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

The square root of 4444440440 is about 66666.6366333266. The cubic root of 4444440440 is about 1644.1408890964.

Adding to 4444440440 its reverse (440444444), we get a palindrome (4884884884).

It can be divided in two parts, 44444404 and 40, that added together give a palindrome (44444444).

The spelling of 4444440440 in words is "four billion, four hundred forty-four million, four hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 3784 4730 9460 18920 234907 469814 939628 1174535 1879256 2349070 2583977 4698140 5167954 9396280 10101001 10335908 12919885 20202002 20671816 25839770 40404004 50505005 51679540 80808008 101010010 103359080 111111011 202020020 222222022 404040040 444444044 555555055 888888088 1111110110 2222220220 4444440440