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145132401609 = 321310131224529
BaseRepresentation
bin1000011100101010010…
…0001011001111001001
3111212121112012220011200
42013022210023033021
54334212343322414
6150401203014413
713325342026206
oct2071244131711
9455545186150
10145132401609
1156606503468
122416466a409
13108bbc9a520
14704b116cad
153b965cd109
hex21ca90b3c9

145132401609 has 24 divisors (see below), whose sum is σ = 225984562440. Its totient is φ = 89224008192.

The previous prime is 145132401587. The next prime is 145132401611. The reversal of 145132401609 is 906104231541.

It is a happy number.

145132401609 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 3 + 2 + 40 + 1 + 609 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26570630025 + 118561771584 = 163005^2 + 344328^2 .

It is not a de Polignac number, because 145132401609 - 25 = 145132401577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145132401619) by changing a digit.

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, 493744 + ... + 730785.

It is an arithmetic number, because the mean of its divisors is an integer number (9416023435).

Almost surely, 2145132401609 is an apocalyptic number.

It is an amenable number.

145132401609 is a deficient number, since it is larger than the sum of its proper divisors (80852160831).

145132401609 is a wasteful number, since it uses less digits than its factorization.

145132401609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225561 (or 1225558 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 145132401609 in words is "one hundred forty-five billion, one hundred thirty-two million, four hundred one thousand, six hundred nine".

Divisors: 1 3 9 13 39 117 1013 3039 9117 13169 39507 118521 1224529 3673587 11020761 15918877 47756631 143269893 1240447877 3721343631 11164030893 16125822401 48377467203 145132401609