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145302043132305 = 32510133187496833
BaseRepresentation
bin100001000010011011000100…
…101010101000000110010001
3201001110201222012210120101100
4201002123010222220012101
5123021112041020213210
61233010500452055013
742414504040230543
oct4102330452500621
9631421865716340
10145302043132305
11423302833715a4
1214368614304469
13630cc019a0097
1427c492929b693
1511be98d94e5c0
hex8426c4aa8191

145302043132305 has 24 divisors (see below), whose sum is σ = 252105499594728. Its totient is φ = 77417923055616.

The previous prime is 145302043132291. The next prime is 145302043132373. The reversal of 145302043132305 is 503231340203541.

145302043132305 is a `hidden beast` number, since 1 + 4 + 5 + 30 + 2 + 0 + 4 + 313 + 2 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451406609424 + 144850636522881 = 671868^2 + 12035391^2 .

It is not a de Polignac number, because 145302043132305 - 214 = 145302043115921 is a prime.

It is a super-2 number, since 2×1453020431323052 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145302043132305.

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 23 ways as a sum of consecutive naturals, for example, 1593702832 + ... + 1593794001.

It is an arithmetic number, because the mean of its divisors is an integer number (10504395816447).

Almost surely, 2145302043132305 is an apocalyptic number.

145302043132305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145302043132305 is a deficient number, since it is larger than the sum of its proper divisors (106803456462423).

145302043132305 is a wasteful number, since it uses less digits than its factorization.

145302043132305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187497857 (or 3187497854 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 145302043132305 its reverse (503231340203541), we get a palindrome (648533383335846).

The spelling of 145302043132305 in words is "one hundred forty-five trillion, three hundred two billion, forty-three million, one hundred thirty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 45 1013 3039 5065 9117 15195 45585 3187496833 9562490499 15937484165 28687471497 47812452495 143437357485 3228934291829 9686802875487 16144671459145 29060408626461 48434014377435 145302043132305