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145306242329 is a prime number
BaseRepresentation
bin1000011101010011101…
…1010100110100011001
3111220001122022220210212
42013110323110310121
54340041344223304
6150430333020505
713332552452363
oct2072473246431
9456048286725
10145306242329
1156695649586
12241b2924735
1310918cc5a61
147066249d33
153ba69bb66e
hex21d4ed4d19

145306242329 has 2 divisors, whose sum is σ = 145306242330. Its totient is φ = 145306242328.

The previous prime is 145306242313. The next prime is 145306242379. The reversal of 145306242329 is 923242603541.

145306242329 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., 123884992729 + 21421249600 = 351973^2 + 146360^2 .

It is a cyclic number.

It is not a de Polignac number, because 145306242329 - 24 = 145306242313 is a prime.

It is a super-2 number, since 2×1453062423292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (145306242379) 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, 72653121164 + 72653121165.

It is an arithmetic number, because the mean of its divisors is an integer number (72653121165).

Almost surely, 2145306242329 is an apocalyptic number.

It is an amenable number.

145306242329 is a deficient number, since it is larger than the sum of its proper divisors (1).

145306242329 is an equidigital number, since it uses as much as digits as its factorization.

145306242329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 145306242329 in words is "one hundred forty-five billion, three hundred six million, two hundred forty-two thousand, three hundred twenty-nine".