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2144413344 = 25331720569
BaseRepresentation
bin111111111010001…
…0010011010100000
312112110002111002110
41333310102122200
513342432211334
6552442115320
7104066132643
oct17764223240
95473074073
102144413344
11a00513537
124ba1abb40
1328236b448
14164b2ba5a
15c83dbae9
hex7fd126a0

2144413344 has 48 divisors (see below), whose sum is σ = 5810676480. Its totient is φ = 691745280.

The previous prime is 2144413343. The next prime is 2144413357. The reversal of 2144413344 is 4433144412.

2144413344 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2144413343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357309 + ... + 363260.

It is an arithmetic number, because the mean of its divisors is an integer number (121055760).

Almost surely, 22144413344 is an apocalyptic number.

2144413344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144413344 is an abundant number, since it is smaller than the sum of its proper divisors (3666263136).

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

2144413344 is a wasteful number, since it uses less digits than its factorization.

2144413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720613 (or 720605 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 2144413344 is about 46307.8108314353. The cubic root of 2144413344 is about 1289.5440056492.

Adding to 2144413344 its reverse (4433144412), we get a palindrome (6577557756).

The spelling of 2144413344 in words is "two billion, one hundred forty-four million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 720569 1441138 2161707 2882276 4323414 5764552 8646828 11529104 17293656 22337639 23058208 34587312 44675278 67012917 69174624 89350556 134025834 178701112 268051668 357402224 536103336 714804448 1072206672 2144413344