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145532303505 = 345359339021
BaseRepresentation
bin1000011110001001100…
…1101011100010010001
3111220122101201000110000
42013202121223202101
54341022232203010
6150505010200213
713341266112021
oct2074231534221
9456571630400
10145532303505
11567a12116a6
1224256583069
1310953aa6274
147088293a81
153bbb7727c0
hex21e266b891

145532303505 has 20 divisors (see below), whose sum is σ = 260880129972. Its totient is φ = 77617228320.

The previous prime is 145532303491. The next prime is 145532303531. The reversal of 145532303505 is 505303235541.

145532303505 is a `hidden beast` number, since 1 + 45 + 532 + 30 + 3 + 50 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35259826176 + 110272477329 = 187776^2 + 332073^2 .

It is not a de Polignac number, because 145532303505 - 210 = 145532302481 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145532303505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179669106 + ... + 179669915.

Almost surely, 2145532303505 is an apocalyptic number.

145532303505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145532303505 is a deficient number, since it is larger than the sum of its proper divisors (115347826467).

145532303505 is an equidigital number, since it uses as much as digits as its factorization.

145532303505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359339038 (or 359339029 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 145532303505 in words is "one hundred forty-five billion, five hundred thirty-two million, three hundred three thousand, five hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 359339021 1078017063 1796695105 3234051189 5390085315 9702153567 16170255945 29106460701 48510767835 145532303505