Search a number
-
+
145322040231 = 3227749581891
BaseRepresentation
bin1000011101010111011…
…1100101101110100111
3111220002202001112110100
42013111313211232213
54340104420241411
6150432055355143
713333133650404
oct2072567455647
9456082045410
10145322040231
11566a35597a5
12241b8082ab3
131091c367624
14706839d2ab
153ba808c456
hex21d5de5ba7

145322040231 has 12 divisors (see below), whose sum is σ = 209917539000. Its totient is φ = 96877702320.

The previous prime is 145322040221. The next prime is 145322040301. The reversal of 145322040231 is 132040223541.

145322040231 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 220 + 402 + 31 = 666.

It is not a de Polignac number, because 145322040231 - 27 = 145322040103 is a prime.

It is a super-2 number, since 2×1453220402312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145322040195 and 145322040204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145322040221) 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 in 11 ways as a sum of consecutive naturals, for example, 41205 + ... + 540686.

It is an arithmetic number, because the mean of its divisors is an integer number (17493128250).

Almost surely, 2145322040231 is an apocalyptic number.

145322040231 is a deficient number, since it is larger than the sum of its proper divisors (64595498769).

145322040231 is a wasteful number, since it uses less digits than its factorization.

145322040231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609646 (or 609643 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 145322040231 its reverse (132040223541), we get a palindrome (277362263772).

The spelling of 145322040231 in words is "one hundred forty-five billion, three hundred twenty-two million, forty thousand, two hundred thirty-one".

Divisors: 1 3 9 27749 83247 249741 581891 1745673 5237019 16146893359 48440680077 145322040231