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4144400341 is a prime number
BaseRepresentation
bin1111011100000110…
…1000011111010101
3101200211102100110221
43313001220133111
531441431302331
61523124514341
7204462551554
oct36701503725
911624370427
104144400341
111837451354
12977b4b9b1
1351080c8c3
142b45c1d9b
15193c9a711
hexf70687d5

4144400341 has 2 divisors, whose sum is σ = 4144400342. Its totient is φ = 4144400340.

The previous prime is 4144400333. The next prime is 4144400401. The reversal of 4144400341 is 1430044414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2374515441 + 1769884900 = 48729^2 + 42070^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144400341 - 23 = 4144400333 is a prime.

It is a super-3 number, since 3×41444003413 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4144406341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072200170 + 2072200171.

It is an arithmetic number, because the mean of its divisors is an integer number (2072200171).

Almost surely, 24144400341 is an apocalyptic number.

It is an amenable number.

4144400341 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144400341 is an equidigital number, since it uses as much as digits as its factorization.

4144400341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 4144400341 is about 64377.0171800465. The cubic root of 4144400341 is about 1606.2774664090.

Adding to 4144400341 its reverse (1430044414), we get a palindrome (5574444755).

The spelling of 4144400341 in words is "four billion, one hundred forty-four million, four hundred thousand, three hundred forty-one".