Search a number
-
+
4001921795329 is a prime number
BaseRepresentation
bin111010001111000101001…
…000001000010100000001
3112011120122210220000111221
4322033011020020110001
51011031413434422304
612302242452435041
7562062232000003
oct72170510102401
915146583800457
104001921795329
111303229583977
12547723618a81
132304c1cc0933
14db9a067c373
156e174a71054
hex3a3c5208501

4001921795329 has 2 divisors, whose sum is σ = 4001921795330. Its totient is φ = 4001921795328.

The previous prime is 4001921795317. The next prime is 4001921795341. The reversal of 4001921795329 is 9235971291004.

It is a balanced prime because it is at equal distance from previous prime (4001921795317) and next prime (4001921795341).

It can be written as a sum of positive squares in only one way, i.e., 2326067271025 + 1675854524304 = 1525145^2 + 1294548^2 .

It is a cyclic number.

It is not a de Polignac number, because 4001921795329 - 223 = 4001913406721 is a prime.

It is not a weakly prime, because it can be changed into another prime (4001921795029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000960897664 + 2000960897665.

It is an arithmetic number, because the mean of its divisors is an integer number (2000960897665).

Almost surely, 24001921795329 is an apocalyptic number.

It is an amenable number.

4001921795329 is a deficient number, since it is larger than the sum of its proper divisors (1).

4001921795329 is an equidigital number, since it uses as much as digits as its factorization.

4001921795329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1224720, while the sum is 52.

The spelling of 4001921795329 in words is "four trillion, one billion, nine hundred twenty-one million, seven hundred ninety-five thousand, three hundred twenty-nine".