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145044437409 = 321269492
BaseRepresentation
bin1000011100010101010…
…0100111100110100001
3111212101101200211222100
42013011110213212201
54334022333444114
6150344341401013
713323223242624
oct2070524474641
9455341624870
10145044437409
1156570892683
122413b109169
13108a69ac0c1
14703d579dbb
153b8da04909
hex21c55279a1

145044437409 has 9 divisors (see below), whose sum is σ = 209510282163. Its totient is φ = 96695529912.

The previous prime is 145044437407. The next prime is 145044437413. The reversal of 145044437409 is 904734440541.

The square root of 145044437409 is 380847.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 15314805009 + 129729632400 = 123753^2 + 360180^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 145044437409 - 21 = 145044437407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145044437407) 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 8 ways as a sum of consecutive naturals, for example, 1079067 + ... + 1206015.

Almost surely, 2145044437409 is an apocalyptic number.

145044437409 is the 380847-th square number.

145044437409 is the 190424-th centered octagonal number.

It is an amenable number.

145044437409 is a deficient number, since it is larger than the sum of its proper divisors (64465844754).

145044437409 is an frugal number, since it uses more digits than its factorization.

145044437409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253904 (or 126952 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 145044437409 in words is "one hundred forty-five billion, forty-four million, four hundred thirty-seven thousand, four hundred nine".

Divisors: 1 3 9 126949 380847 1142541 16116048601 48348145803 145044437409