Search a number
-
+
145609138229 is a prime number
BaseRepresentation
bin1000011110011011111…
…0110010000000110101
3111220211202021121212112
42013212332302000311
54341201414410404
6150520353100405
713343221152662
oct2074676620065
9456752247775
10145609138229
1156830620775
1224278257705
13109669989b9
147094574a69
153bc339d56e
hex21e6fb2035

145609138229 has 2 divisors, whose sum is σ = 145609138230. Its totient is φ = 145609138228.

The previous prime is 145609138211. The next prime is 145609138273. The reversal of 145609138229 is 922831906541.

145609138229 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., 102401280004 + 43207858225 = 320002^2 + 207865^2 .

It is an emirp because it is prime and its reverse (922831906541) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-145609138229 is a prime.

It is a super-2 number, since 2×1456091382292 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145603138229) 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, 72804569114 + 72804569115.

It is an arithmetic number, because the mean of its divisors is an integer number (72804569115).

Almost surely, 2145609138229 is an apocalyptic number.

It is an amenable number.

145609138229 is a deficient number, since it is larger than the sum of its proper divisors (1).

145609138229 is an equidigital number, since it uses as much as digits as its factorization.

145609138229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 145609138229 in words is "one hundred forty-five billion, six hundred nine million, one hundred thirty-eight thousand, two hundred twenty-nine".