Search a number
-
+
44220042866833 is a prime number
BaseRepresentation
bin10100000110111110001111…
…11100100111000010010001
312210120101122211002112020021
422003133013330213002101
521244000121433214313
6234014223544343441
712212535612416011
oct1203370774470221
9183511584075207
1044220042866833
11130a9684425399
124b62182a74b81
131b89c16c18682
14acc39377dc41
1551a3e8a3378d
hex2837c7f27091

44220042866833 has 2 divisors, whose sum is σ = 44220042866834. Its totient is φ = 44220042866832.

The previous prime is 44220042866749. The next prime is 44220042866843. The reversal of 44220042866833 is 33866824002244.

44220042866833 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26130570805249 + 18089472061584 = 5111807^2 + 4253172^2 .

It is a cyclic number.

It is not a de Polignac number, because 44220042866833 - 217 = 44220042735761 is a prime.

It is a super-2 number, since 2×442200428668332 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (44220042866843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22110021433416 + 22110021433417.

It is an arithmetic number, because the mean of its divisors is an integer number (22110021433417).

Almost surely, 244220042866833 is an apocalyptic number.

It is an amenable number.

44220042866833 is a deficient number, since it is larger than the sum of its proper divisors (1).

44220042866833 is an equidigital number, since it uses as much as digits as its factorization.

44220042866833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10616832, while the sum is 52.

The spelling of 44220042866833 in words is "forty-four trillion, two hundred twenty billion, forty-two million, eight hundred sixty-six thousand, eight hundred thirty-three".