Search a number
-
+
42144420629 is a prime number
BaseRepresentation
bin100111010000000000…
…001101001100010101
311000210010011101120202
4213100000031030111
51142302432430004
631205541110245
73021243443663
oct472000151425
9130703141522
1042144420629
1116967476aa3
1282020b8385
133c884240cc
14207b2dbc33
151169dc5b1e
hex9d000d315

42144420629 has 2 divisors, whose sum is σ = 42144420630. Its totient is φ = 42144420628.

The previous prime is 42144420589. The next prime is 42144420709. The reversal of 42144420629 is 92602444124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41370746404 + 773674225 = 203398^2 + 27815^2 .

It is a cyclic number.

It is not a de Polignac number, because 42144420629 - 216 = 42144355093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42144420592 and 42144420601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42144422629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21072210314 + 21072210315.

It is an arithmetic number, because the mean of its divisors is an integer number (21072210315).

Almost surely, 242144420629 is an apocalyptic number.

It is an amenable number.

42144420629 is a deficient number, since it is larger than the sum of its proper divisors (1).

42144420629 is an equidigital number, since it uses as much as digits as its factorization.

42144420629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 42144420629 in words is "forty-two billion, one hundred forty-four million, four hundred twenty thousand, six hundred twenty-nine".