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4442143401 = 321741708137
BaseRepresentation
bin1000010001100010…
…11011101010101001
3102110120200021011200
410020301123222221
533044142042101
62012442314413
7215036411253
oct41061335251
912416607150
104442143401
11197a5240a3
12a3b7b8a09
1355a3ca327
14301d68cd3
151aeeb0986
hex108c5baa9

4442143401 has 24 divisors (see below), whose sum is σ = 6959580264. Its totient is φ = 2719242240.

The previous prime is 4442143379. The next prime is 4442143417. The reversal of 4442143401 is 1043412444.

4442143401 is a `hidden beast` number, since 4 + 44 + 214 + 3 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22553001 + 4419590400 = 4749^2 + 66480^2 .

It is not a de Polignac number, because 4442143401 - 215 = 4442110633 is a prime.

It is a super-3 number, since 3×44421434013 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4442143441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347796 + ... + 360341.

It is an arithmetic number, because the mean of its divisors is an integer number (289982511).

Almost surely, 24442143401 is an apocalyptic number.

4442143401 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4442143401 is a deficient number, since it is larger than the sum of its proper divisors (2517436863).

4442143401 is a wasteful number, since it uses less digits than its factorization.

4442143401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708201 (or 708198 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4442143401 is about 66649.4066065108. The cubic root of 4442143401 is about 1643.8575908487.

Adding to 4442143401 its reverse (1043412444), we get a palindrome (5485555845).

The spelling of 4442143401 in words is "four billion, four hundred forty-two million, one hundred forty-three thousand, four hundred one".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 708137 2124411 6373233 12038329 29033617 36114987 87100851 108344961 261302553 493571489 1480714467 4442143401