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4444001440 = 255241115249
BaseRepresentation
bin1000010001110001…
…00001010010100000
3102110201011122220221
410020320201102200
533100131021230
62012550212424
7215061250264
oct41070412240
912421148827
104444001440
11198058306a
12a40354114
1355a8cac68
143022d00a4
151b022b27a
hex108e214a0

4444001440 has 48 divisors (see below), whose sum is σ = 10542609000. Its totient is φ = 1770209280.

The previous prime is 4444001413. The next prime is 4444001459. The reversal of 4444001440 is 441004444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3580346896 + 863654544 = 59836^2 + 29388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19065 + ... + 96184.

Almost surely, 24444001440 is an apocalyptic number.

4444001440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444001440 is an abundant number, since it is smaller than the sum of its proper divisors (6098607560).

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

4444001440 is a wasteful number, since it uses less digits than its factorization.

4444001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115505 (or 115497 counting only the distinct ones).

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

The square root of 4444001440 is about 66663.3440505350. The cubic root of 4444001440 is about 1644.0867539264.

Adding to 4444001440 its reverse (441004444), we get a palindrome (4885005884).

The spelling of 4444001440 in words is "four billion, four hundred forty-four million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1205 1928 2410 3856 4820 7712 9640 19280 38560 115249 230498 460996 576245 921992 1152490 1843984 2304980 3687968 4609960 9219920 18439840 27775009 55550018 111100036 138875045 222200072 277750090 444400144 555500180 888800288 1111000360 2222000720 4444001440