Search a number
-
+
146228605889 is a prime number
BaseRepresentation
bin1000100000101111100…
…1110111001111000001
3111222102220220211202012
42020023321313033001
54343434010342024
6151102042302305
713364452433102
oct2101371671701
9458386824665
10146228605889
1157019265a13
122440b7b7995
1310a3511c602
1471129483a9
153c0c96450e
hex220be773c1

146228605889 has 2 divisors, whose sum is σ = 146228605890. Its totient is φ = 146228605888.

The previous prime is 146228605877. The next prime is 146228605903. The reversal of 146228605889 is 988506822641.

146228605889 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111997315600 + 34231290289 = 334660^2 + 185017^2 .

It is a cyclic number.

It is not a de Polignac number, because 146228605889 - 212 = 146228601793 is a prime.

It is a super-3 number, since 3×1462286058893 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (146228605819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73114302944 + 73114302945.

It is an arithmetic number, because the mean of its divisors is an integer number (73114302945).

Almost surely, 2146228605889 is an apocalyptic number.

It is an amenable number.

146228605889 is a deficient number, since it is larger than the sum of its proper divisors (1).

146228605889 is an equidigital number, since it uses as much as digits as its factorization.

146228605889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13271040, while the sum is 59.

The spelling of 146228605889 in words is "one hundred forty-six billion, two hundred twenty-eight million, six hundred five thousand, eight hundred eighty-nine".