Search a number
-
+
4100440321 is a prime number
BaseRepresentation
bin1111010001100111…
…1100000100000001
3101120202200221200001
43310121330010001
531344203042241
61514514400001
7203420111335
oct36431740401
911522627601
104100440321
11181465655a
12965290001
1350468a763
142ac81b7c5
1518eeb5431
hexf467c101

4100440321 has 2 divisors, whose sum is σ = 4100440322. Its totient is φ = 4100440320.

The previous prime is 4100440303. The next prime is 4100440327. The reversal of 4100440321 is 1230440014.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4092800625 + 7639696 = 63975^2 + 2764^2 .

It is a cyclic number.

It is not a de Polignac number, because 4100440321 - 29 = 4100439809 is a prime.

It is a super-2 number, since 2×41004403212 = 33627221652165166082, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4100440327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2050220160 + 2050220161.

It is an arithmetic number, because the mean of its divisors is an integer number (2050220161).

Almost surely, 24100440321 is an apocalyptic number.

It is an amenable number.

4100440321 is a deficient number, since it is larger than the sum of its proper divisors (1).

4100440321 is an equidigital number, since it uses as much as digits as its factorization.

4100440321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4100440321 is about 64034.6806113687. The cubic root of 4100440321 is about 1600.5779579996.

Adding to 4100440321 its reverse (1230440014), we get a palindrome (5330880335).

The spelling of 4100440321 in words is "four billion, one hundred million, four hundred forty thousand, three hundred twenty-one".